diff --git a/examples/gsm8k/README.md b/examples/gsm8k/README.md new file mode 100644 index 00000000..86eb42e4 --- /dev/null +++ b/examples/gsm8k/README.md @@ -0,0 +1,2 @@ +To run the programs in this file, you need the gsm8k benchmark available at: +https://github.com/openai/grade-school-math \ No newline at end of file diff --git a/examples/gsm8k/math.pdl b/examples/gsm8k/math.pdl new file mode 100644 index 00000000..58316d7f --- /dev/null +++ b/examples/gsm8k/math.pdl @@ -0,0 +1,86 @@ +defs: + RITS_API_KEY: + lang: python + code: | + import os + result = os.environ["RITS_API_KEY"] + solve: + function: + question: str + return: + lastOf: + - "${ question }\n" + - model: openai/ibm-granite/granite-3.1-8b-instruct + def: solution + parameters: + api_key: ${RITS_API_KEY} + api_base: https://inference-3scale-apicast-production.apps.rits.fmaas.res.ibm.com/granite-3-1-8b-instruct/v1/ + extra_headers: + RITS_API_KEY: ${RITS_API_KEY} + - "\nwhat is the final answer from the above solution?\n" + - model: openai/ibm-granite/granite-3.1-8b-instruct + def: answer + spec: {result: float} + parser: json + parameters: + api_key: ${RITS_API_KEY} + api_base: https://inference-3scale-apicast-production.apps.rits.fmaas.res.ibm.com/granite-3-1-8b-instruct/v1/ + extra_headers: + RITS_API_KEY: ${RITS_API_KEY} + - data: + solution: ${ solution } + answer: ${ answer } + truth: + function: + answer: str + return: + lang: python + code: + | + result = float(answer.split("####")[-1].strip().replace("$", "").replace(",", "")) + compare: + function: + ans1: float + ans2: float + return: + lang: python + code: + | + result = float(ans1) == float(ans2) + + +text: +- read: ../../../grade-school-math/grade_school_math/data/test.jsonl + parser: jsonl + contribute: [] + def: mathdata +- for: + problem: ${ mathdata } + repeat: + lastOf: + - call: ${ solve } + args: + question: ${ problem.question } + pdl_context: [] + def: solution + - def: actual + call: ${ truth } + args: + answer: ${ problem.answer } + - def: compare + lang: python + code: + | + result = float(solution["answer"]["result"]) == actual + - if: ${ compare } + then: + data: + solution: ${ solution } + matches: true + else: + data: + solution: ${ solution } + matches: false + join: + with: "\n" + \ No newline at end of file diff --git a/examples/gsm8k/math_no_sd.pdl b/examples/gsm8k/math_no_sd.pdl new file mode 100644 index 00000000..7c0cc1d6 --- /dev/null +++ b/examples/gsm8k/math_no_sd.pdl @@ -0,0 +1,85 @@ +defs: + RITS_API_KEY: + lang: python + code: | + import os + result = os.environ["RITS_API_KEY"] + solve: + function: + question: str + return: + lastOf: + - "${ question }\n" + - model: openai/ibm-granite/granite-3.1-8b-instruct + def: solution + parameters: + api_key: ${RITS_API_KEY} + api_base: https://inference-3scale-apicast-production.apps.rits.fmaas.res.ibm.com/granite-3-1-8b-instruct/v1/ + extra_headers: + RITS_API_KEY: ${RITS_API_KEY} + - def: answer + lang: python + code: | + try: + result = float(solution.split("The answer is:")[-1].strip()) + except: + result = 0 + - data: + solution: ${ solution } + answer: + result: ${ answer } + truth: + function: + answer: str + return: + lang: python + code: + | + result = float(answer.split("####")[-1].strip().replace("$", "").replace(",", "")) + compare: + function: + ans1: float + ans2: float + return: + lang: python + code: + | + result = float(ans1) == float(ans2) + + +text: +- read: ../../../grade-school-math/grade_school_math/data/test.jsonl + parser: jsonl + contribute: [] + def: mathdata +- for: + problem: ${ mathdata } + repeat: + lastOf: + - call: ${ solve } + args: + question: ${ problem.question } + pdl_context: [] + def: solution + - def: actual + call: ${ truth } + args: + answer: ${ problem.answer } + - def: compare + lang: python + contribute: [] + code: + | + result = float(solution["answer"]["result"]) == actual + - if: ${ compare } + then: + data: + solution: ${ solution } + matches: true + else: + data: + solution: ${ solution } + matches: false + join: + with: "\n" + \ No newline at end of file diff --git a/examples/gsm8k/math_no_sd_out.jsonl b/examples/gsm8k/math_no_sd_out.jsonl new file mode 100644 index 00000000..1b48cdd6 --- /dev/null +++ b/examples/gsm8k/math_no_sd_out.jsonl @@ -0,0 +1,1319 @@ +{"solution": {"solution": "Janet's ducks lay 16 eggs per day.\nShe eats 3 eggs for breakfast and uses 4 eggs for baking muffins.\nSo, she consumes a total of 3 + 4 = 7 eggs.\nShe has 16 - 7 = 9 eggs left to sell at the farmers' market.\nShe sells each egg for $2.\nTherefore, she makes 9 * $2 = $18 every day at the farmers' market.\n#### 18\nThe answer is: 18", "answer": {"result": 18.0}}, "matches": true} +{"solution": {"solution": "If a robe takes 2 bolts of blue fiber, then it takes half of that amount, which is 2 / 2 = 1 bolt of white fiber. \n\nTo find the total number of bolts, we add the blue and white fibers together: 2 bolts of blue + 1 bolt of white = 3 bolts in total. \n\nSo, it takes $\\boxed{3}$ bolts of fiber to make a robe.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Josh bought the house for $80,000 and spent $50,000 on repairs, so his total investment is $80,000 + $50,000 = $130,000.\nThe value of the house increased by 150%, which means it doubled in value.\nSo, the new value of the house is $80,000 * 2 = $160,000.\nTo calculate the profit, we subtract the total investment from the new value of the house: $160,000 - $130,000 = $30,000.\nTherefore, Josh made a profit of $30,000.\n#### 30000\nThe answer is: 30000", "answer": {"result": 30000.0}}, "matches": false} +{"solution": {"solution": "James runs 3 sprints each time, and each sprint is 60 meters. So, for each session, he runs:\n\n3 sprints * 60 meters/sprint = 180 meters\n\nHe runs these sprints 3 times a week. Therefore, the total distance he runs in a week is:\n\n180 meters/session * 3 sessions/week = 540 meters\n\nSo, James runs a total of $\\boxed{540}$ meters a week.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Wendi feeds each chicken 3 cups of feed per meal, and she has 20 chickens. \n\nIn the morning, she gives 15 cups of feed. Since each chicken gets 3 cups, the total amount given to the chickens is 15 cups / 3 cups per chicken = 5 chickens.\n\nIn the afternoon, she gives 25 cups of feed. Again, the total amount given to the chickens is 25 cups / 3 cups per chicken = 8.33 chickens. Since she can't give feed to a fraction of a chicken, we'll assume she gives feed to 8 full chickens and has some feed left over.\n\nSo far, she has fed 5 chickens in the morning and 8 chickens in the afternoon, which is a total of 5 + 8 = 13 chickens.\n\nShe has 20 chickens in total, so she has 20 - 13 = 7 chickens left to feed in the final meal.\n\nSince each chicken gets 3 cups of feed, and she has 7 chickens left to feed, she will need to give them 7 chickens * 3 cups per chicken = 21 cups of feed in the final meal.\n\nTherefore, Wendi needs to give her chickens $\\boxed{21}$ cups of feed in the final meal of the day.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the total cost of 16 glasses for Kylar, we first need to determine the cost of each glass based on whether it is odd-numbered or even-numbered.\n\n1. For odd-numbered glasses (1st, 3rd, 5th, 7th, 9th, 11th, 13th, 15th), the cost is $5 each.\n2. For even-numbered glasses (2nd, 4th, 6th, 8th, 10th, 12th, 14th, 16th), the cost is 60% of $5, which is calculated as $5 \\times 0.6 = $3.\n\nNow, we can calculate the total cost by adding the cost of odd-numbered glasses and the cost of even-numbered glasses separately and then adding them together.\n\n- Cost of odd-numbered glasses: $5 \\times 8 = $40\n- Cost of even-numbered glasses: $3 \\times 8 = $24\n\nFinally, we add these two amounts to find the total cost:\n\n\\[ \\text{Total cost} = 40 + 24 = 64 \\]\n\nTherefore, Kylar needs to pay $\\boxed{64}$ dollars for 16 glasses.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's calculate the number of sheep for each city step by step:\n\n1. **Seattle's Sheep:**\n Seattle has 20 sheep.\n\n2. **Charleston's Sheep:**\n Charleston has 4 times the number of sheep as Seattle.\n \\[\n \\text{Charleston's Sheep} = 4 \\times \\text{Seattle's Sheep} = 4 \\times 20 = 80\n \\]\n\n3. **Toulouse's Sheep:**\n Toulouse has twice as many sheep as Charleston.\n \\[\n \\text{Toulouse's Sheep} = 2 \\times \\text{Charleston's Sheep} = 2 \\times 80 = 160\n \\]\n\n4. **Total Sheep:**\n To find the total number of sheep for all three cities, we add the sheep counts for Seattle, Charleston, and Toulouse:\n \\[\n \\text{Total Sheep} = \\text{Seattle's Sheep} + \\text{Charleston's Sheep} + \\text{Toulouse's Sheep}\n \\]\n \\[\n \\text{Total Sheep} = 20 + 80 + 160 = 260\n \\]\n\n### Conclusion:\nThe total number of sheep for all three cities (Seattle, Charleston, and Toulouse) is:\n\\[\n\\boxed{260}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate how long it would take Carla to download the file without any interruptions. Given that she can download at a rate of 2 GB/minute, we can find the time it takes to download the entire file by dividing the total file size by her download speed:\n\n\\[ \\text{Time without interruptions} = \\frac{\\text{Total file size}}{\\text{Download speed}} = \\frac{200 \\text{ GB}}{2 \\text{ GB/minute}} = 100 \\text{ minutes}. \\]\n\nHowever, Windows forces a restart 40% of the way through the download. To find out how much of the file has been downloaded at this point, we calculate 40% of the total file size:\n\n\\[ \\text{Downloaded amount at restart} = 0.40 \\times 200 \\text{ GB} = 80 \\text{ GB}. \\]\n\nAt this point, Carla has downloaded 80 GB and has 200 GB - 80 GB = 120 GB left to download. Since she can download at a rate of 2 GB/minute, the remaining time to download the full 200 GB is:\n\n\\[ \\text{Remaining time} = \\frac{120 \\text{ GB}}{2 \\text{ GB/minute}} = 60 \\text{ minutes}. \\]\n\nAfter the restart, Carla must start the download from the beginning. Therefore, the total time spent downloading the file, including the time before the restart and after the restart, is:\n\n\\[ \\text{Total time} = \\text{Time before restart} + \\text{Time after restart} + \\text{Windows update time} = 100 \\text{ minutes} + 60 \\text{ minutes} + 20 \\text{ minutes} = 180 \\text{ minutes}. \\]\n\nThus, the total time it takes for Carla to download the file, given the interruptions, is:\n\n\\[ \\boxed{180 \\text{ minutes}}. \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "John drives for 3 hours at a speed of 60 mph, so he covers a distance of 3 * 60 = 180 miles.\nHe then turns around and tries to get home in 4 hours, but he spends the first 2 hours in standstill traffic, so he covers a distance of 0 miles.\nAfter the standstill traffic, he drives at a speed of 30 mph for half an hour, so he covers a distance of 0.5 * 30 = 15 miles.\nFinally, he drives for the remaining time of 4 hours at a speed of 80 mph, so he covers a distance of 4 * 80 = 320 miles.\nThe total distance he covers is 180 + 15 + 320 = 515 miles.\nSince he started 180 miles away from home, he is 515 - 180 = 335 miles away from home at the end of those 4 hours.\n#### 335\nThe answer is: 335", "answer": {"result": 335.0}}, "matches": false} +{"solution": {"solution": "Eliza's regular pay for the first 40 hours is $10 x 40 = $400.\nFor the remaining 5 hours, she earns 1.2 times her regular hourly rate, which is $10 x 1.2 = $12 per hour.\nSo, her overtime pay for the 5 hours is $12 x 5 = $60.\nTherefore, her total earnings for the week is $400 + $60 = $460.\n#### 460\nThe answer is: 460", "answer": {"result": 460.0}}, "matches": true} +{"solution": {"solution": "The number of downloads in the second month was three times as many as the first month, so it was 60 x 3 = 180 downloads.\n\nIn the third month, the number of downloads was reduced by 30%. Therefore, the reduction in downloads is 180 x 0.30 = 54 downloads.\n\nSo, the number of downloads in the third month was 180 - 54 = 126 downloads.\n\nThe total number of downloads over the three months is 60 (first month) + 180 (second month) + 126 (third month) = 366 downloads.\n\n#### 366\nThe answer is: 366", "answer": {"result": 366.0}}, "matches": true} +{"solution": {"solution": "To find the total cost, we need to calculate the cost of each type of pastry and then add them together.\n\nFor the donuts:\n3 dozen donuts * $68 per dozen = $204\n\nFor the mini cupcakes:\n2 dozen mini cupcakes * $80 per dozen = $160\n\nFor the mini cheesecakes:\n6 dozen mini cheesecakes * $55 per dozen = $330\n\nNow, we add the costs together:\n$204 (donuts) + $160 (mini cupcakes) + $330 (mini cheesecakes) = $694\n\nThe total cost for all the pastries is $694.\n\n#### 694\nThe answer is: 694", "answer": {"result": 694.0}}, "matches": true} +{"solution": {"solution": "\nTo determine how many years it will take before Carlos starts earning money from the lemon tree, we need to calculate the total costs and revenues over the years.\n\nLet's denote the number of years it takes for Carlos to start earning money as \\( y \\).\n\nThe total cost of planting the tree is $90. Each year, it costs $3 to water and feed the tree. So, the total cost over \\( y \\) years is:\n\\[ 90 + 3y \\]\n\nEach year, Carlos can sell the 7 lemons for $1.5 each. So, the total revenue over \\( y \\) years is:\n\\[ 7 \\times 1.5 \\times y = 10.5y \\]\n\nCarlos will start earning money when the revenue exceeds the total costs. Therefore, we set up the inequality:\n\\[ 10.5y > 90 + 3y \\]\n\nNow, let's solve for \\( y \\):\n\\[ 10.5y - 3y > 90 \\]\n\\[ 7.5y > 90 \\]\n\\[ y > \\frac{90}{7.5} \\]\n\\[ y > 12 \\]\n\nSince Carlos cannot start earning money in a fraction of a year, we round up to the nearest whole year. Therefore, it will take Carlos \\( 13 \\) years to start earning money on the lemon tree.\n\nAnswer:\n\n\\[\n\\boxed{13}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote the total number of vacuum cleaners Melanie started with as V.\n\nAccording to the information given:\n\n1. She sold a third to the green house. So she sold V/3 vacuum cleaners.\n2. She sold 2 more to the red house. So she sold V/3 + 2 vacuum cleaners in total until the red house.\n3. She sold half of what was left at the orange house. This means she sold (V - (V/3 + 2))/2.\n\nWe know that after selling to all three houses, she has 5 vacuum cleaners left. So we can set up the equation:\n\nV - (V/3 + 2) - ((V - (V/3 + 2))/2) = 5\n\nNow, let's solve for V:\n\nV - (V/3 + 2) - (V/6 - 1) = 5\n\nCombine like terms:\n\nV - V/3 - 2 - V/6 + 1 = 5\n\nTo combine the fractions, we need a common denominator, which is 6:\n\n(6V/6) - (2V/6) - 2 - (V/6) + 1 = 5\n\nNow, combine the V terms:\n\n(6V - 2V - V)/6 - 1 = 5\n\nThis simplifies to:\n\n(3V)/6 - 1 = 5\n\nNow, multiply both sides by 6 to get rid of the denominator:\n\n3V - 6 = 30\n\nAdd 6 to both sides:\n\n3V = 36\n\nDivide both sides by 3:\n\nV = 12\n\nMelanie started with $\\boxed{12}$ vacuum cleaners.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. First, calculate the number of students enrolled in contemporary dance:\n \\[\n 20\\% \\times 20 = 0.20 \\times 20 = 4 \\text{ students}\n \\]\n\n2. Determine the remaining number of students after subtracting those who enrolled in contemporary dance:\n \\[\n 20 - 4 = 16 \\text{ students}\n \\]\n\n3. Calculate the number of students who enrolled in jazz dance:\n \\[\n 25\\% \\times 16 = 0.25 \\times 16 = 4 \\text{ students}\n \\]\n\n4. Subtract the number of students who enrolled in jazz dance from the remaining count to find those who enrolled in hip-hop dance:\n \\[\n 16 - 4 = 12 \\text{ students}\n \\]\n\n5. Calculate the percentage of the entire class that enrolled in hip-hop dance:\n \\[\n \\frac{12}{20} \\times 100\\% = \\frac{3}{5} \\times 100\\% = 60\\%\n \\]\n\n6. Conclude the final answer:\n \\[\n \\boxed{60\\%}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To determine which purchase plan would yield the highest profit, we need to calculate the future value of each option after the expected market increase.\n\n1. For the jewelry:\n - Current value: $5,000\n - Expected market increase: 2.5%\n - Future value = Current value + (Current value * Market increase)\n - Future value = $5,000 + ($5,000 * 0.025)\n - Future value = $5,000 + $125\n - Future value = $5,125\n\n2. For the electronic gadgets:\n - Current value: $8,000\n - Expected market increase: 1.2%\n - Future value = Current value + (Current value * Market increase)\n - Future value = $8,000 + ($8,000 * 0.012)\n - Future value = $8,000 + $96\n - Future value = $8,096\n\nNow, to calculate the profit for each option, we'll subtract the initial investment from the future value:\n\n1. For the jewelry:\n - Profit = Future value - Initial investment\n - Profit = $5,125 - $5,000\n - Profit = $125\n\n2. For the electronic gadgets:\n - Profit = Future value - Initial investment\n - Profit = $8,096 - $8,000\n - Profit = $96\n\nComparing the profits, the merchant would make a higher profit by purchasing the electronic gadgets for $8,000, with a profit of $96.\n\nAnswer: The merchant would make a higher profit by purchasing the electronic gadgets for $8,000, with a profit of $96.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's assume the distance covered by each train on the first day is D miles. \nSince both trains travel for 80 miles on the first day, we can say D = 80. \n\nOn the second day, they travel northwards, covering 150 miles each. \n\nSo, the total distance covered by each train in the two days is D + 150 = 80 + 150 = 230 miles. \n\nTherefore, each train has covered a distance of 230 miles in the two days. \n\n#### 230\nThe answer is: 230", "answer": {"result": 230.0}}, "matches": true} +{"solution": {"solution": "Jill works 35 hours a week as a teacher, so she earns 35 * $20 = $700 per week from teaching. \n\nShe works 15 hours a week as a coach, so she earns 15 * $30 = $450 per week from coaching. \n\nIn total, Jill earns $700 + $450 = $1150 per week. \n\nSince she works 50 weeks a year, her annual salary is $1150 * 50 = $57,500. \n\n#### 57500\nThe answer is: 57500", "answer": {"result": 57500.0}}, "matches": true} +{"solution": {"solution": "One dozen eggs contains 12 eggs.\n\nClaire makes a 3 egg omelet every morning.\n\nIn one week (7 days), she uses 3 eggs/day * 7 days/week = 21 eggs.\n\nIn 4 weeks, she uses 21 eggs/week * 4 weeks = 84 eggs.\n\nTo find out how many dozens of eggs she will eat, we divide the total number of eggs by 12 (since one dozen equals 12 eggs).\n\n84 eggs / 12 eggs/dozen = 7 dozen eggs.\n\nClaire will eat $\\boxed{7}$ dozens of eggs in 4 weeks.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find Marissa's desired average speed, I need to divide the total distance by the total time. The total distance is 12 miles, and the total time is 3 hours, since she took 1 hour for the first 4 miles, another hour for the next 2 miles, and I don't know how long for the remaining 6 miles. So her average speed should be 12 miles divided by 3 hours, which is 4 miles per hour, as given in the problem. This means that the remaining 6 miles should be covered in the remaining 2 hours, since 12 miles divided by 3 hours is 4 miles per hour. Otherwise, her average speed would be different from 4 miles per hour. To find her speed for the remaining 6 miles, I need to divide the distance by the time. So her speed for the remaining 6 miles is 6 miles divided by 2 hours, which is 3 miles per hour.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nFirst, let's find out how much water is in the 10 liters of orange drink before any is spilled. Since the orange drink is $\\frac{2}{3}$ water, we calculate:\n\n\\[\n\\frac{2}{3} \\times 10 = \\frac{20}{3} = 6\\frac{2}{3} \\text{ liters of water}.\n\\]\n\nNext, we need to consider the loss of 1 liter of the orange drink due to spillage. This reduces the amount of water in the orange drink to:\n\n\\[\n6\\frac{2}{3} - 1 = 5\\frac{2}{3} \\text{ liters of water}.\n\\]\n\nNow, let's calculate the amount of water in the 15 liters of pineapple drink, which is $\\frac{3}{5}$ water:\n\n\\[\n\\frac{3}{5} \\times 15 = \\frac{45}{5} = 9 \\text{ liters of water}.\n\\]\n\nCombining the remaining water from both drinks, we get:\n\n\\[\n5\\frac{2}{3} + 9 = 14\\frac{2}{3} \\text{ liters of water}.\n\\]\n\nFinally, we account for the total volume of the mixture after adding the orange drink and before considering the spillage:\n\n\\[\n10 + 15 = 25 \\text{ liters}.\n\\]\n\nAfter subtracting the 1 liter that was spilled, the total volume of the mixture is:\n\n\\[\n25 - 1 = 24 \\text{ liters}.\n\\]\n\nTherefore, the amount of water in the remaining 24 liters of mixture is:\n\n\\[\n14\\frac{2}{3} \\text{ liters}.\n\\]\n\n### Conclusion:\n\n\\[\n\\boxed{14\\frac{2}{3}}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Samantha is currently 31 years old, then Raymond, who is 6 years older, is 31 + 6 = 37 years old.\n\nRaymond had his son at the age of 23.\n\nTo find out how many years ago Raymond's son was born, we subtract the age Raymond was when he had his son from Raymond's current age:\n\n37 (Raymond's current age) - 23 (age at which he had his son) = 14 years ago.\n\nRaymond's son was born $\\boxed{14}$ years ago.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Billy's first 3 customers each buy 1 DVD, so that's 3 * 1 = 3 DVDs.\n\nHis next 2 customers each buy 2 DVDs, so that's 2 * 2 = 4 DVDs.\n\nHis last 3 customers don't buy any DVDs.\n\nAdding up the DVDs sold, we have 3 (from the first 3 customers) + 4 (from the next 2 customers) = 7 DVDs.\n\nSo, Billy sold $\\boxed{7}$ DVDs on Tuesday.The answer is: 7", "answer": {"result": 7.0}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the number of hours the candle burns:**\n - The candle burns from 1:00 PM to 5:00 PM.\n - The duration from 1:00 PM to 5:00 PM is 4 hours.\n\n2. **Calculate the total length the candle melts:**\n - The candle melts at a rate of 2 centimeters per hour.\n - Over 4 hours, the total length melted is:\n \\[\n 4 \\text{ hours} \\times 2 \\text{ cm/hour} = 8 \\text{ cm}\n \\]\n\n3. **Compute the final length of the candle:**\n - Suppose the initial length of the candle is \\( L \\) centimeters.\n - After burning for 4 hours, the candle will be \\( L - 8 \\) centimeters long.\n\n4. **Determine the difference in length:**\n - The difference in length compared to the original candle is:\n \\[\n L - (L - 8) = 8 \\text{ cm}\n \\]\n\n### Conclusion:\nThe candle will be reduced by \\( 8 \\) centimeters.\n\n\\[\n\\boxed{8}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote the original price of the book as P. \n\nAccording to the problem, Kyle bought the book for $19.50 after receiving a 25% discount. This means he paid 75% of the original price (100% - 25% = 75%). \n\nSo, we can set up the equation:\n\n0.75 * P = $19.50\n\nTo find the original price P, we divide both sides of the equation by 0.75:\n\nP = $19.50 / 0.75\nP = $26\n\nTherefore, the original price of the book was $\\$26$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total cost of the chicken meal, milk, and apples:\n\nChicken meal: $12\n5 packs of milk: 5 * $3 = $15\n4 apples: 4 * $1.50 = $6\n\nNow, let's add up these costs to find the total cost of these items:\n\nTotal cost of chicken meal, milk, and apples = $12 + $15 + $6 = $33\n\nMarie paid a total of $50, so to find out how much she spent on pizza, we subtract the cost of the other items from the total amount paid:\n\nCost of pizza = Total amount paid - Total cost of other items\nCost of pizza = $50 - $33 = $17\n\nNow, we know that each box of pizza costs $8.50, so to find out how many boxes Marie ordered, we divide the total cost of pizza by the cost per box:\n\nNumber of boxes of pizza = Cost of pizza / Cost per box\nNumber of boxes of pizza = $17 / $8.50 = 2\n\nMarie ordered $\\boxed{2}$ boxes of pizza.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Mishka bought 3 pairs of shorts, and each pair costs $16.50. So, the total cost for the shorts is 3 * $16.50 = $49.50.\n\nMishka also bought 3 pairs of pants, and each pair costs $22.50. So, the total cost for the pants is 3 * $22.50 = $67.50.\n\nLastly, Mishka bought 3 pairs of shoes, and each pair costs $42. So, the total cost for the shoes is 3 * $42 = $126.\n\nTo find the total amount Mishka spent on all the clothing items, we add the costs together: $49.50 (shorts) + $67.50 (pants) + $126 (shoes) = $\\boxed{\\$243}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Cynthia eats one serving of ice cream every night, so she will go through 1 serving per day. \nThere are 60 days in the given time period, so she will go through 1 serving x 60 days = 60 servings of ice cream. \nEach carton of ice cream has 15 servings, so she will need 60 servings / 15 servings per carton = 4 cartons of ice cream. \nEach carton costs $4.00, so she will spend 4 cartons x $4.00 per carton = $16.00 on ice cream. \n#### 16\nThe answer is: 16", "answer": {"result": 16.0}}, "matches": true} +{"solution": {"solution": "\n\nHenry's first stop was after 20 miles, and his second stop was 15 miles before the end of the trip. Since the total trip is 60 miles, the distance between his first and second stops is 60 - 20 - 15 = 25 miles. \n\nAnswer: 25", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nLet's denote the cost of the boots as B, the cost of the first pair of heels as H1, and the cost of the second pair of heels as H2.\n\nAccording to the information given:\n1. One pair of heels costs $33, so H1 = $33.\n2. The second pair of heels costs twice as much as the first pair, so H2 = 2 * $33 = $66.\n3. The total cost of the two pairs of heels is five dollars less than the cost of the boots, so B - (H1 + H2) = $5.\n\nSubstituting the known values into the equation, we get:\nB - ($33 + $66) = $5\nB - $99 = $5\n\nNow, we can solve for B:\nB = $5 + $99\nB = $104\n\nTherefore, the boots cost $\\boxed{\\$104}$ .\n\nAnswer: 104", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\n1. **Identify the ratio of their ages**: Darrell's age and Allen's age are given in the ratio 7:11.\n\n2. **Set up the ratio equation**: Let Darrell's age be \\(7x\\) and Allen's age be \\(11x\\).\n\n3. **Write the equation for their total age**: According to the problem, the sum of their ages is 162. Hence, we write:\n \\[\n 7x + 11x = 162\n \\]\n\n4. **Combine and simplify the terms**:\n \\[\n 7x + 11x = 18x\n \\]\n \\[\n 18x = 162\n \\]\n\n5. **Solve for \\(x\\)**:\n \\[\n x = \\frac{162}{18}\n \\]\n \\[\n x = 9\n \\]\n\n6. **Calculate their current ages**:\n - Darrell's age: \\(7x = 7 \\times 9 = 63\\)\n - Allen's age: \\(11x = 11 \\times 9 = 99\\)\n\n7. **Find Allen's age 10 years from now**:\n \\[\n \\text{Allen's age in 10 years} = 99 + 10 = 109\n \\]\n\n### Conclusion:\n\\[\n\\boxed{109}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, we will follow the steps outlined in the solution, breaking them down for clarity:\n\n1. **Calculate the second friend's guess:**\n The second friend estimates 20 more than half of the first friend's guess. The first friend's guess is 80 jelly beans. Thus, half of the first friend's guess is:\n \\[\n \\frac{80}{2} = 40\n \\]\n Adding 20 to this half gives us the second friend's guess:\n \\[\n 40 + 20 = 60\n \\]\n\n2. **Calculate the third friend's guess:**\n The third friend estimates 25% more than the first friend's guess. To find 25% of 80, we calculate:\n \\[\n \\frac{25}{100} \\times 80 = 0.25 \\times 80 = 20\n \\]\n Adding this to the first friend's guess gives the third friend's guess:\n \\[\n 80 + 20 = 100\n \\]\n\n3. **Calculate the average of all three guesses:**\n To find the average, we sum all the guesses and divide by the number of guesses. The sum of the guesses is:\n \\[\n 80 + 60 + 100 = 240\n \\]\n Dividing this sum by 3 (since there are three friends) gives us the average:\n \\[\n \\frac{240}{3} = 80\n \\]\n\nTherefore, the average of all three guesses is $\\boxed{80}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "John takes care of 10 dogs, and each dog takes 0.5 hours a day to walk and take care of their business. \nTo find out how many hours he spends taking care of dogs in a week, we need to calculate the total hours per week. \n\nThere are 7 days in a week, so the total hours per week for one dog would be:\n0.5 hours/day * 7 days/week = 3.5 hours/week\n\nSince he has 10 dogs, we need to multiply the hours per week for one dog by 10:\n3.5 hours/week/dog * 10 dogs = 35 hours/week\n\nTherefore, John spends 35 hours a week taking care of dogs. \n#### 35\nThe answer is: 35", "answer": {"result": 35.0}}, "matches": true} +{"solution": {"solution": "Let's denote the number of silver coins as S and the number of gold coins as G.\n\nAccording to the information given:\n1. G = S + 30 (There are 30 more gold coins than silver coins)\n2. G + S = 110 (The total number of coins is 110)\n\nWe can substitute the first equation into the second equation:\n\n(S + 30) + S = 110\n\nCombining like terms, we get:\n\n2S + 30 = 110\n\nSubtracting 30 from both sides:\n\n2S = 80\n\nDividing both sides by 2:\n\nS = 40\n\nNow that we know there are 40 silver coins, we can find the number of gold coins by substituting S back into the first equation:\n\nG = S + 30\nG = 40 + 30\nG = 70\n\nGretchen has $\\boxed{70}$ gold coins.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Raymond has 40 jewels, then half of Raymond's jewels would be 40 / 2 = 20 jewels.\n\nAaron has 5 more jewels than half of Raymond's jewels, so Aaron has 20 + 5 = 25 jewels.\n\nSiobhan has 2 fewer jewels than Aaron, so Siobhan has 25 - 2 = 23 jewels.\n\nTherefore, Siobhan has $\\boxed{23}$ jewels.The answer is: 23", "answer": {"result": 23.0}}, "matches": true} +{"solution": {"solution": "In the first 20 minutes, Mike scores 4 points.\n\nIn the second 20 minutes, he scores 25% more points than the first 20 minutes. To find 25% of 4 points, we calculate 0.25 * 4 = 1 point.\n\nSo, in the second 20 minutes, he scores 4 points + 1 point = 5 points.\n\nTo find the total points scored, we add the points from both 20-minute periods: 4 points + 5 points = 9 points.\n\nMike scored a total of $\\boxed{9}$ points.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Terry eats 2 yogurts a day, so over 30 days, he will eat 2 x 30 = 60 yogurts.\nThe yogurts are currently on sale at 4 yogurts for $5.00, so for 60 yogurts, Terry will need to buy 60 / 4 = 15 sets of 4 yogurts.\nEach set of 4 yogurts costs $5.00, so for 15 sets, Terry will spend 15 x $5.00 = $75.00 on yogurt.\n#### 75\nThe answer is: 75", "answer": {"result": 75.0}}, "matches": true} +{"solution": {"solution": "John sells all his 13 lego sets for $15 each, so he earns 13 * $15 = $195. \nHe then buys 8 video games for $20 each, so he spends 8 * $20 = $160. \nAfter buying the video games, he has $5 left, so he spent a total of $195 - $160 - $5 = $30 on other expenses. \nSince he sold all his lego sets to buy the video games, he still has 0 lego sets left. \n#### 0\nThe answer is: 0", "answer": {"result": 0.0}}, "matches": false} +{"solution": {"solution": "He runs 2 hours and a half the other two days because 3 / 2 = 1.5\nHe runs 3 + 1.5 + 1.5 = 6 hours a week\nHe runs 10 miles a day because 60 / 6 = 10\nHe runs 10 miles an hour because 10 / 1 = 10\nThe answer is 10", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\n1. **Identify Dana's skipping speed:** \nDana can skip at a speed of 3 mph.\n\n2. **Calculate running speed:** \nGiven that skipping is half as fast as running, we find the running speed as:\n \\[\n \\text{Running speed} = 2 \\times \\text{Skipping speed} = 2 \\times 3 \\, \\text{mph} = 6 \\, \\text{mph}\n \\]\n\n3. **Calculate walking speed:** \nGiven that running is four times faster than walking, we find the walking speed as:\n \\[\n \\text{Walking speed} = \\frac{\\text{Running speed}}{4} = \\frac{6 \\, \\text{mph}}{4} = 1.5 \\, \\text{mph}\n \\]\n\n4. **Determine time spent on each activity:** \nDana spends one-third of the time running and two-thirds of the time walking. The total time given is 6 hours. So:\n \\[\n \\text{Time running} = \\frac{1}{3} \\times 6 = 2 \\, \\text{hours}\n \\]\n \\[\n \\text{Time walking} = \\frac{2}{3} \\times 6 = 4 \\, \\text{hours}\n \\]\n\n5. **Calculate distance traveled while running:** \nUsing the running speed of 6 mph over 2 hours:\n \\[\n \\text{Distance running} = \\text{Running speed} \\times \\text{Time running} = 6 \\, \\text{mph} \\times 2 \\, \\text{hours} = 12 \\, \\text{miles}\n \\]\n\n6. **Calculate distance traveled while walking:** \nUsing the walking speed of 1.5 mph over 4 hours:\n \\[\n \\text{Distance walking} = \\text{Walking speed} \\times \\text{Time walking} = 1.5 \\, \\text{mph} \\times 4 \\, \\text{hours} = 6 \\, \\text{miles}\n \\]\n\n7. **Sum the distances traveled in all activities:** \nAdd the distances covered while running and walking:\n \\[\n \\text{Total distance} = \\text{Distance running} + \\text{Distance walking} = 12 \\, \\text{miles} + 6 \\, \\text{miles} = 18 \\, \\text{miles}\n \\]\n\n### Conclusion:\n\n\\[\n\\boxed{18}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, let's break it down step by step, following the relationships given between the ages of the iPhones:\n\n1. **Determine Suzy's iPhone Age:**\n - We start with the given information that Suzy's iPhone is 1 year old.\n\n2. **Calculate Ben's iPhone Age:**\n - Ben's iPhone is two times older than Suzy's iPhone. Therefore, we calculate Ben's iPhone age as:\n \\[\n 1 \\times 2 = 2\n \\]\n - So, Ben's iPhone is 2 years old.\n\n3. **Calculate Brandon's iPhone Age:**\n - Brandon's iPhone is four times as old as Ben's iPhone. Given that Ben's iPhone is 2 years old, we calculate Brandon's iPhone age as:\n \\[\n 2 \\times 4 = 8\n \\]\n - Therefore, Brandon's iPhone is 8 years old.\n\nPutting it all together, we encapsulate the final answer as follows:\n\n\\[\n\\boxed{8}\n\\]\n\nThis step-by-step calculation ensures we accurately determine how old Brandon's iPhone is based on the given relationships and the initial age of Suzy's iPhone.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Polly holds the sapphire gemstone, she can throw the javelin three times farther than without it. The distance she can throw the javelin without the gemstone is 400 feet. Therefore, with the gemstone, she can throw it 400 feet * 3 = 1200 feet.\n\nThe dragon's flames reach a distance of 1000 feet. To find out how far outside the dragon's reach Polly can stand and still hit the dragon, we subtract the range of the dragon's flames from the distance Polly can throw the javelin with the gemstone:\n\n1200 feet (javelin distance with gemstone) - 1000 feet (dragon's flame range) = 200 feet.\n\nSo, Polly can stand 200 feet outside of the dragon's reach and still hit the dragon with the gold javelin.\n\nThe final answer is $\\boxed{200}$ feet.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Grandma Jones baked 5 apple pies, and each pie was cut into 8 pieces, so there were a total of 5 x 8 = 40 pieces of pie.\nAt the end of the evening, there were 14 pieces of pie remaining, so the guests took 40 - 14 = 26 pieces of pie.\nTherefore, the guests took 26 pieces of pie.\n#### 26\nThe answer is: 26", "answer": {"result": 26.0}}, "matches": true} +{"solution": {"solution": "\nTo find out how many grams of chips you can eat if your daily calorie target is 2000 and you have already consumed 1800 calories, first calculate the remaining calories you can consume:\n\n2000 calories (daily target) - 1800 calories (already consumed) = 200 calories\n\nNow, find out how many servings of chips you can have with the remaining calories:\n\n200 calories / 250 calories per serving = 0.8 servings\n\nSince you cannot have a fraction of a serving, round down to the nearest whole serving:\n\n0.8 servings \u2248 0 servings\n\nThis means that you can have no more servings of chips with the remaining calories. To find out how many grams this equates to, multiply the number of servings by the weight per serving:\n\n0 servings * 300 grams per bag = 0 grams\n\nTherefore, you can eat 0 grams of chips.\n\nAnswer: 0\n\n0", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate Charlie's net profit from selling 20 candles, we follow these steps:\n\n1. **Determine the cost per candle**: Since one pound of beeswax and the wicks cost $10.00 for supplies, and this makes 10 candles, the cost per candle is calculated as:\n \\[\n \\frac{\\$10.00}{10 \\text{ candles}} = \\$1.00 \\text{ per candle}\n \\]\n\n2. **Calculate the revenue from selling 20 candles**: Given that each candle is sold for $2.00, the total revenue from selling 20 candles is:\n \\[\n 20 \\text{ candles} \\times \\$2.00 \\text{ per candle} = \\$40.00\n \\]\n\n3. **Determine the total cost of making 20 candles**: Since the cost per candle is $1.00 and he makes 20 candles, the total cost for these candles is:\n \\[\n 20 \\text{ candles} \\times \\$1.00 \\text{ per candle} = \\$20.00\n \\]\n\n4. **Calculate the net profit**: The net profit is the revenue minus the total cost of making the candles:\n \\[\n \\$40.00 \\text{ (revenue)} - \\$20.00 \\text{ (total cost)} = \\$20.00\n \\]\n\nTherefore, Charlie's net profit from making and selling 20 candles is $\\boxed{\\$20.00}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Meredith wrote 5 articles on Monday, so she spent 5 * 4 = 20 hours writing on Monday.\n\nOn Tuesday, she wrote 2/5 times more articles than on Monday. So, she wrote 5 + (2/5 * 5) = 5 + 2 = 7 articles.\n\nTherefore, she spent 7 * 4 = 28 hours writing on Tuesday.\n\nOn Wednesday, she wrote twice the number of articles she wrote on Tuesday, which is 2 * 7 = 14 articles.\n\nThus, she spent 14 * 4 = 56 hours writing on Wednesday.\n\nIn total, Meredith spent 20 (Monday) + 28 (Tuesday) + 56 (Wednesday) = $\\boxed{104}$ hours writing articles in the three days.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Candice started with 80 Post-it notes and ended with 23, so she used a total of 80 - 23 = 57 Post-it notes at work.\n\nShe placed one Post-it note on each of 220 cups of coffee, so the number of Post-it notes she used at work is 220.\n\nTherefore, the number of Post-it notes in the package she purchased is the difference between the total used at work and the amount she started with, which is 57 - 220 = -163.\n\nHowever, since she can't have a negative number of Post-it notes in the package, we need to find the correct number of Post-it notes in the package. \n\nSince she used 57 Post-it notes at work, and she started with 80, the package she purchased must have contained the difference between the total used and the amount she started with, which is 57.\n\nSo, the package contained $\\boxed{57}$ Post-it notes.The answer is: 57", "answer": {"result": 57.0}}, "matches": false} +{"solution": {"solution": "John spent $200 on blue ties, and each blue tie cost $40. Therefore, he bought:\n\\[ \\frac{200}{40} = 5 \\text{ blue ties} \\]\n\nSince John buys twice as many red ties as blue ties, he bought:\n\\[ 2 \\times 5 = 10 \\text{ red ties} \\]\n\nThe red ties cost 50% more than the blue ties. The increase in price is 50% of $40, which is:\n\\[ 0.50 \\times 40 = 20 \\]\n\nSo, the price of each red tie is:\n\\[ 40 + 20 = 60 \\]\n\nThus, the total amount spent on red ties is:\n\\[ 10 \\times 60 = 600 \\]\n\nAdding the amount spent on blue ties and red ties gives the total spent on ties:\n\\[ 200 + 600 = 800 \\]\n\nTherefore, John spent:\n\\[ \\boxed{800} \\] on ties.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, we first need to convert the length of the wire from feet to inches because the pieces are being cut into inches. \n\n1. Convert the wire length from feet to inches:\n\\[4 \\, \\text{feet} = 4 \\times 12 \\, \\text{inches/foot} = 48 \\, \\text{inches}\\]\n\n2. Determine the length of each piece of wire that Tracy cut:\n\\[6 \\, \\text{inches}\\]\n\n3. Calculate the number of pieces by dividing the total length of the wire by the length of each piece:\n\\[\\frac{48 \\, \\text{inches}}{6 \\, \\text{inches/piece}} = 8 \\, \\text{pieces}\\]\n\nTherefore, Tracy obtained $\\boxed{8}$ pieces of wire.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If the building has 15 floors and each floor contains 8 units, then the total number of units in the building is 15 * 8 = 120 units.\n\nIf 3/4 of the building is occupied, then 1/4 of the building is unoccupied.\n\nTo find the number of unoccupied units, we calculate 1/4 of the total number of units: (1/4) * 120 = 30 units.\n\nTherefore, there are 30 unoccupied units in the building.\n\n#### 30\nThe answer is: 30", "answer": {"result": 30.0}}, "matches": true} +{"solution": {"solution": "First, let's find out how many dozens of eggs Lloyd's chickens produce per day. \n\nSince there are 12 eggs in a dozen, we divide the total number of eggs by 12:\n252 eggs / 12 eggs per dozen = 21 dozens per day\n\nNext, we'll calculate how much Lloyd makes per day by multiplying the number of dozens by the price per dozen:\n21 dozens * $2 per dozen = $42 per day\n\nFinally, to find out how much Lloyd makes per week, we multiply the daily earnings by the number of days in a week:\n$42 per day * 7 days per week = $294 per week\n\nLloyd makes $\\boxed{\\$294}$ on eggs per week.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nTom sails from 1 PM to 4 PM, which is a total of 3 hours. \nDuring this time, he travels at a rate of 10 miles per hour, so he covers a distance of 10 miles per hour * 3 hours = 30 miles. \nHe then travels back at a rate of 6 miles per hour. \nTo find out how long it takes him to get back, we divide the distance he needs to cover (30 miles) by his speed (6 miles per hour). \nSo, it takes him 30 miles / 6 miles per hour = 5 hours to get back. \n#### 5\nThe answer is: 5", "answer": {"result": 5.0}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's break it down step by step, following Uriah's actions and calculations closely:\n\n1. **Calculate the weight removed by comic books**: Uriah removes 30 comic books, each weighing 1/4 pound. The total weight removed by comic books can be calculated as:\n \\[\n 30 \\times \\frac{1}{4} = 7.5 \\text{ pounds}\n \\]\n\n2. **Determine the remaining weight to be removed**: Uriah needs to remove a total of 15 pounds. After removing the weight from the comic books, the remaining weight to be removed is:\n \\[\n 15 - 7.5 = 7.5 \\text{ pounds}\n \\]\n\n3. **Calculate the number of toys to remove**: Each toy weighs 1/2 pound. To find out how many toys Uriah needs to remove to achieve the remaining weight of 7.5 pounds, we divide the remaining weight by the weight of one toy:\n \\[\n \\frac{7.5}{\\frac{1}{2}} = 7.5 \\times 2 = 15 \\text{ toys}\n \\]\n\nTherefore, Uriah needs to remove $\\boxed{15}$ toys from his book bag to achieve his goal of reducing the weight by 15 pounds.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "On Thursday, the mechanic repairs 6 truck tires and charges $60 per truck tire, so the revenue from truck tires is 6 * $60 = $360.\nOn Thursday, the mechanic also repairs 4 car tires and charges $40 per car tire, so the revenue from car tires is 4 * $40 = $160.\nTherefore, the total revenue on Thursday is $360 + $160 = $520.\n\nOn Friday, the mechanic repairs 12 car tires and charges $40 per car tire, so the revenue from car tires is 12 * $40 = $480.\nOn Friday, the mechanic does not repair any truck tires, so the revenue from truck tires is $0.\nTherefore, the total revenue on Friday is $480 + $0 = $480.\n\nTo find out how much more revenue the mechanic earned on the day with higher revenue, we subtract the total revenue on Thursday from the total revenue on Friday: $480 - $520 = -$40.\n\nSince the result is negative, it means that the mechanic earned less revenue on Friday compared to Thursday.\n\nTherefore, the mechanic did not earn more revenue on the day with higher revenue, but rather earned less.\n\nThe answer is -$40.\n\n#### 40\nThe answer is: 40", "answer": {"result": 40.0}}, "matches": true} +{"solution": {"solution": "First, let's find out how many kittens Patchy had. Since Patchy had thrice the number of adopted kittens, we multiply the number of adopted kittens (7) by 3:\n\n7 kittens * 3 = 21 kittens\n\nNow, we know that Trixie had 12 kittens.\n\nTo find the total number of kittens the Doubtfire family now has, we add the kittens from Patchy and Trixie together:\n\n21 kittens (from Patchy) + 12 kittens (from Trixie) = 33 kittens\n\nFinally, we add the 7 kittens they already had to the total:\n\n33 kittens (from Patchy and Trixie) + 7 kittens (already had) = 40 kittens\n\nSo, the Doubtfire family now has $\\boxed{40}$ kittens.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nJean starts with 30 lollipops and eats 2, leaving her with 30 - 2 = 28 lollipops.\n\nJean wants to package 2 lollipops in each bag. To find out how many bags she can fill, we divide the number of remaining lollipops by 2.\n\n28 \u00f7 2 = 14\n\nJean can fill 14 bags with the remaining lollipops.\n\n#### 14\nThe answer is: 14", "answer": {"result": 14.0}}, "matches": true} +{"solution": {"solution": "If Peter has 42 dollars for the week, and he spends $7 on a ticket and $7 on popcorn each time he goes to the movies, then he spends a total of $7 + $7 = $14 each time he goes to the movies. \n\nTo find out how many times he can go to the movies with $42, we divide the total amount of money he has by the amount he spends each time. \n\n$42 \u00f7 $14 = 3\n\nPeter can go to the movies $\\boxed{3}$ times this week.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Calculate the total weight the truck can carry**:\n \\[\n \\text{Total weight the truck can carry} = 5000 \\text{ pounds}\n \\]\n\n2. **Subtract the weight of the truck and driver**:\n \\[\n \\text{Weight available for boxes} = 5000 - 3755 = 1245 \\text{ pounds}\n \\]\n\n3. **Determine the maximum number of boxes**:\n \\[\n \\text{Maximum number of boxes} = \\frac{1245 \\text{ pounds}}{15 \\text{ pounds per box}} = 83 \\text{ boxes}\n \\]\n\n4. **Conclusion**:\n \\[\n \\boxed{83}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the final price of Stephen's groceries, we need to calculate the delivery fee, the tip, and the fee added by the delivery vendor, and then add these to the original bill.\n\n1. The delivery fee is $3.00.\n2. The tip is $4.00.\n3. The fee added by the delivery vendor is 25% of $40.00. To calculate this, we multiply $40.00 by 0.25 (which is the decimal form of 25%):\n \\[\n \\$40.00 \\times 0.25 = \\$10.00\n \\]\n\nNow, we add all these additional costs to the original bill:\n\\[\n\\$40.00 + \\$3.00 + \\$4.00 + \\$10.00 = \\$57.00\n\\]\n\nTherefore, the final price of Stephen's groceries, after all fees and the tip, is $\\boxed{\\$57.00}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, calculate the total number of raspberries in the clusters:\n\\[ 6 \\text{ clusters} \\times 20 \\text{ berries/cluster} = 120 \\text{ berries} \\]\n\nNext, add the individual berries scattered across the bush:\n\\[ 120 \\text{ berries from clusters} + 67 \\text{ scattered berries} = 187 \\text{ berries} \\]\n\nThus, the total number of raspberries is:\n\\[ \\boxed{187} \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Determine the number of unripe oranges:**\n \n Given that 20% of the oranges are unripe, we need to calculate 20% of 25 oranges:\n \\[\n 20\\% \\times 25 = \\frac{20}{100} \\times 25 = 0.2 \\times 25 = 5\n \\]\n So, there are 5 unripe oranges.\n\n2. **Identify the number of sour oranges:**\n \n Given that there are 2 sour oranges, we note that this information is directly given:\n \\[\n \\text{Sour oranges} = 2\n \\]\n\n3. **Summarize the total number of bad and spoiled oranges:**\n \n We have 1 bad orange, 5 unripe oranges, and 2 sour oranges. Adding these together gives the total number of bad and spoiled oranges:\n \\[\n 1 \\text{ (bad)} + 5 \\text{ (unripe)} + 2 \\text{ (sour)} = 8\n \\]\n\n4. **Determine the number of good oranges:**\n \n Since there are 25 oranges in total and 8 of them are bad or spoiled, the number of good oranges is:\n \\[\n 25 - 8 = 17\n \\]\n\n5. **Conclusion:**\n \n The number of good oranges in the basket is:\n \\[\n \\boxed{17}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Janet pays $500 for the material and $800 for the jeweler to construct the brooch, so the total cost of making the brooch is $500 + $800 = $1300. \n\nTo insure the brooch, she pays 10% of that total cost, which is 10/100 * $1300 = $130.\n\nTherefore, the total amount Janet paid is the cost of making the brooch plus the insurance cost, which is $1300 + $130 = $1430.\n\n#### 1430\nThe answer is: 1430", "answer": {"result": 1430.0}}, "matches": true} +{"solution": {"solution": "1. **Calculation for the first 20 years**: Marcy works for 20 years, and she does not qualify for a pension of 5% of the value of the pension per year during this period.\n\n2. **Calculation for the next 20 years (years 21 to 40)**:\n - The annual pension Marcy earns after 30 years is $50,000.\n - The pension amount for each of these 20 years is 5% of $50,000.\n - Thus, the annual pension amount for each of these years is:\n \\[\n 0.05 \\times 50,000 = 2,500\n \\]\n\n3. **Calculation for the remaining years**:\n - Since Marcy quits after 30 years, she receives her full annual pension of $50,000 for 10 years (from year 31 to year 40).\n\n4. **Total annual pension**:\n - Summing the pension amounts from the 20 years (each of $2,500) and the 10 years (each of $50,000):\n \\[\n 20 \\times 2,500 + 10 \\times 50,000 = 50,000 + 500,000 = 550,000\n \\]\n\n5. **Conclusion**:\n - The total annual pension Marcy will receive if she quits after 30 years is:\n \\[\n \\boxed{550,000}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the total amount Aleena paid for the streaming service by the end of the year, we break down the payments into two halves of the year.\n\n1. **First Half of the Year:**\n\nThe streaming service charges Aleena $140 per month. Since there are 12 months in a year, the cost for the first half (6 months) is calculated as follows:\n\\[ \\text{Cost for first half} = 6 \\times \\$140 = \\$840 \\]\n\n2. **Second Half of the Year:**\n\nFor the second half of the year, the streaming company charges 10% less than the initial amount. The discount on each monthly charge is:\n\\[ \\$140 \\times \\frac{10}{100} = \\$14 \\]\n\nTherefore, the reduced monthly charge for the second half of the year is:\n\\[ \\$140 - \\$14 = \\$126 \\]\n\nThe cost for the second half (also 6 months) is calculated as:\n\\[ \\text{Cost for second half} = 6 \\times \\$126 = \\$756 \\]\n\n3. **Total Amount Paid:**\n\nTo find the total amount Aleena paid for the entire year, we add the cost of the first half and the second half:\n\\[ \\text{Total amount} = \\$840 + \\$756 = \\$1596 \\]\n\nTherefore, the total amount Aleena paid for the streaming service by the end of the year is $\\boxed{\\$1596}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Sophia traveled 100 miles on 4 gallons of gas, which means she gets 100/4 = 25 miles per gallon.\nSince her tank holds 12 gallons of gas, she can drive 25 miles per gallon x 12 gallons = 300 miles on a single tank of gas.\n#### 300\nThe answer is: 300", "answer": {"result": 300.0}}, "matches": true} +{"solution": {"solution": "\nTo solve this problem, let's break it down into manageable steps:\n\n1. **Calculate the time Jim spends reading:**\n - Jim reads for half as long as he watches TV, which is 2 hours.\n - Therefore, the time spent reading each night is $2 \\div 2 = 1$ hour.\n\n2. **Determine the total time Jim spends reading in a week:**\n - Jim reads for 1 hour each night he goes to bed.\n - Since he does this 3 times a week, the total time spent reading in a week is $1 \\, \\text{hour/night} \\times 3 \\, \\text{nights} = 3$ hours.\n\n3. **Calculate the total time Jim spends watching TV and reading in a week:**\n - Jim spends 2 hours watching TV each night.\n - Since this happens 3 times a week, the total time spent watching TV in a week is $2 \\, \\text{hours/night} \\times 3 \\, \\text{nights} = 6$ hours.\n - Adding the reading time to the TV watching time gives us the total weekly time: $6 \\, \\text{hours} + 3 \\, \\text{hours} = 9$ hours.\n\n4. **Find the total time Jim spends on TV and reading in 4 weeks:**\n - Since the weekly total is 9 hours, and there are 4 weeks, the total time over 4 weeks is $9 \\, \\text{hours/week} \\times 4 \\, \\text{weeks} = 36$ hours.\n\nTherefore, the total time Jim spends watching TV and reading in 4 weeks is $\\boxed{36}$ hours.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Each school has sent 1 girls' basketball team, 1 boys' basketball team, and 2 coaches (1 for each team). \n\n1. Calculating the number of players for one team:\n - Each team has 5 players.\n\n2. Calculating the total number of players for all teams across all schools:\n - Each school contributes 5 players per team, and there are 2 teams per school: $5 \\times 2 = 10$ players per school.\n - Since there are 4 schools, the total number of players is $10 \\times 4 = 40$ players.\n\n3. Calculating the number of coaches:\n - Each team has 1 coach, and each school has 2 teams, resulting in 2 coaches per school.\n - Total number of coaches across all schools: $2 \\times 4 = 8$ coaches.\n\n4. Adding the number of players and coaches to find the total number of people sent by all schools:\n - Total people = Number of players + Number of coaches\n - Total people = $40 + 8 = 48$.\n\nThus, the total number of people sent by all schools is $\\boxed{48}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the total number of gems in the chest, we follow these steps:\n\n1. **Calculate the number of rubies**: Since there are 35 fewer rubies than diamonds, we start with the number of diamonds and subtract 35. \n - Diamonds = 175\n - Rubies = 175 - 35 = 140\n\n2. **Calculate the number of emeralds**: Emeralds are twice the number of rubies.\n - Emeralds = 2 * 140 = 280\n\n3. **Calculate the total number of gems**: Add the number of diamonds, rubies, and emeralds together.\n - Total gems = Diamonds + Rubies + Emeralds\n - Total gems = 175 + 140 + 280\n\n4. **Perform the final addition**:\n - Total gems = 175 + 140 + 280 = 595\n\nTherefore, the total number of gems in the chest is $\\boxed{595}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. Determine the number of boys: Since there are twice as many boys as girls, and there are 60 girls, the number of boys is \\(60 \\times 2 = 120\\).\n2. Calculate the total number of students: Adding the number of boys and girls, we get \\(120 + 60 = 180\\).\n3. Divide the total number of students by the ratio of students per teacher: \\(180 / 5 = 36\\).\n\nThus, there are $\\boxed{36}$ teachers.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Bailey receives a weekly allowance of $5 for 8 weeks, so she receives a total of $5 x 8 = $40.\n\nIf at the end of the 8 weeks she has a total of $100, then the amount of money she started with is $100 - $40 = $60.\n\nTherefore, Bailey started with $\\boxed{\\$60}$.The answer is: 60", "answer": {"result": 60.0}}, "matches": true} +{"solution": {"solution": "\nJudy teaches 5 classes, every day, on the weekdays, so she teaches 5 classes x 5 days = 25 classes on weekdays. \n\nShe also teaches 8 classes on Saturday. \n\nIn total, she teaches 25 + 8 = 33 classes in 1 week. \n\nEach class has 15 students, so she has 33 classes x 15 students = 495 students in 1 week. \n\nShe charges $15.00 per student, so she makes 495 students x $15.00 = $7425.00 in 1 week. \n\n#### 7425\nThe answer is: 7425", "answer": {"result": 7425.0}}, "matches": true} +{"solution": {"solution": "The first recipe has 20 instructions.\nThe second recipe has twice as many instructions as the first one, so it has 2 * 20 = 40 instructions.\nTo prepare both dishes, Kelian needs to read a total of 20 + 40 = 60 instructions.\n#### 60\nThe answer is: 60", "answer": {"result": 60.0}}, "matches": true} +{"solution": {"solution": "Tommy sells 43 brownies for $3 each, so he raises 43 * $3 = $129 from the brownies.\n\nTommy also sells 23 slices of cheesecake for $4 each, so he raises 23 * $4 = $92 from the cheesecakes.\n\nIn total, Tommy raises $129 + $92 = $\\boxed{\\$221}$ for his charity.The answer is: 221", "answer": {"result": 221.0}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total cost of the five cell phones before interest:\n\nCost of each phone = $150\nNumber of phones = 5\n\nTotal cost before interest = Cost of each phone * Number of phones\nTotal cost before interest = $150 * 5\nTotal cost before interest = $750\n\nNow, let's calculate the interest for each phone:\n\nInterest rate = 2%\n\nInterest for each phone = Total cost before interest * Interest rate\nInterest for each phone = $750 * 0.02\nInterest for each phone = $15\n\nNow, let's calculate the total cost including interest for all five phones:\n\nTotal cost including interest = Total cost before interest + (Total cost before interest * Interest rate)\nTotal cost including interest = $750 + ($750 * 0.02)\nTotal cost including interest = $750 + $15\nTotal cost including interest = $765\n\nShiela will pay the total cost including interest over three months. To find out how much she will pay each month, we divide the total cost by 3:\n\nMonthly payment = Total cost including interest / 3\nMonthly payment = $765 / 3\nMonthly payment = $255\n\nShiela will pay $\\boxed{\\$255}$ each month for three months.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's round the prices of each type of flower to the nearest dollar:\n\n- Marigolds: $2.74 rounds to $3.00 (since it's closer to $3 than to $2)\n- Petunias: $1.87 rounds to $2.00 (since it's closer to $2 than to $1)\n- Begonias: $2.12 rounds to $2.00 (since it's closer to $2 than to $3)\n\nNow, let's calculate the total amount Artie will make from each type of flower:\n\n- Marigolds: 12 pots * $3.00/pot = $36.00\n- Petunias: 9 pots * $2.00/pot = $18.00\n- Begonias: 17 pots * $2.00/pot = $34.00\n\nFinally, let's add up the totals to find out how much Artie will make:\n\n$36.00 (marigolds) + $18.00 (petunias) + $34.00 (begonias) = $88.00\n\nArtie will make $\\boxed{\\$88.00}$ in total.The answer is: 88", "answer": {"result": 88.0}}, "matches": true} +{"solution": {"solution": "To find the average square footage of a level in Luke's 4-level sandcastle, we start by calculating the square footage of each level based on the information that each level has half the square footage of the level below it. This means that if the top level has a square footage of 16, we can find the square footage of the second level by halving it, and so on for each subsequent level.\n\n1. **Top Level**: Given as 16 square feet.\n2. **Second Level**: Half the square footage of the top level, so $16 / 2 = 8$ square feet.\n3. **Third Level**: Half the square footage of the second level, so $(8 / 2) = 4$ square feet.\n4. **Bottom Level**: Half the square footage of the third level, so $(4 / 2) = 2$ square feet.\n\nNow, to find the average square footage of a level, we sum the square footage of all levels and divide by the number of levels.\n\n\\[ \\text{Average square footage} = \\frac{\\text{Sum of all square footages}}{\\text{Number of levels}} \\]\n\n\\[ \\text{Average square footage} = \\frac{16 + 8 + 4 + 2}{4} \\]\n\n\\[ \\text{Average square footage} = \\frac{30}{4} \\]\n\n\\[ \\text{Average square footage} = 7.5 \\]\n\nTherefore, the average square footage of a level in Luke's sandcastle is $\\boxed{7.5 \\text{ square feet}}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nCecilia will feed the puppy 1 cup of dog food every day for the first 180 days, so she will use 180 cups of dog food in the first 180 days. \n\nAfter the first 180 days, she will feed the puppy 2 cups of dog food every day for the rest of its life. \n\nTo calculate the total amount of dog food needed for the rest of its life, we need to know the lifespan of the puppy. Since puppies typically live for 10-13 years, let's assume the average lifespan is 11.5 years. \n\nThere are 365 days in a year, so in 11.5 years, there are 11.5 * 365 = 4197.5 days. \n\nSubtracting the first 180 days, we have 4197.5 - 180 = 4017.5 days remaining for the rest of the puppy's life. \n\nAt 2 cups of dog food per day for the remaining days, Cecilia will use 2 * 4017.5 = 8035 cups of dog food for the rest of the puppy's life. \n\nAdding the 180 cups used in the first 180 days, Cecilia will use a total of 180 + 8035 = 8215 cups of dog food in the first year. \n\nSince one bag of dog food contains 110 cups, Cecilia will need 8215 / 110 = 74.68 bags of dog food in the first year. \n\nSince she cannot use a fraction of a bag, she will need to round up to the nearest whole number. \n\nTherefore, Cecilia will use 75 bags of dog food in the first year. \n\n#### 75\nThe answer is: 75", "answer": {"result": 75.0}}, "matches": false} +{"solution": {"solution": "If Sarah does 400 pounds of laundry, and Sarah does 4 times as much laundry as David, then David does 400/4 = 100 pounds of laundry.\nIf Raymond does half as much laundry as Sarah, then Raymond does 400/2 = 200 pounds of laundry.\nThe difference in the amount of laundry Raymond and David do is 200 - 100 = 100 pounds.\n#### 100\nThe answer is: 100", "answer": {"result": 100.0}}, "matches": true} +{"solution": {"solution": "To determine the better price, I need to compare the cost per flower for each package. For the 3-flower package, the cost per flower is $2.50 divided by 3, which is $0.8333. For the 2-flower package, the cost per flower is $1 divided by 2, which is $0.50. The 2-flower package has a lower cost per flower, so it is the better price. To find out how much money Vincent saves by buying 18 flowers at the better price, I need to multiply the number of flowers by the cost per flower for the better price, and then subtract that from the cost of 18 flowers at the other price. The cost of 18 flowers at the better price is 18 times $0.50, which is $9. The cost of 18 flowers at the other price is 18 times $0.8333, which is $15. Therefore, Vincent saves $15 - $9, which is $6.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the discount John receives for being a new customer, we multiply the cost of grooming by the discount rate:\n\n\\[ \\$100 \\times 0.30 = \\$30 \\]\n\nThis means the discount amount is $30. To find out how much John actually pays for the grooming after the discount, we subtract the discount from the original price:\n\n\\[ \\$100 - \\$30 = \\$70 \\]\n\nTherefore, the grooming costs John $\\boxed{70}$ dollars.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Two girls each got 1/6 of the 24 liters of water, so each girl got:\n\n1/6 * 24 liters = 4 liters\n\nSince there are two girls, the total water they got is:\n\n4 liters/girl * 2 girls = 8 liters\n\nThen a boy got 6 liters of water. Now, to find out how much water was left, we add the water the girls got and the water the boy got:\n\n8 liters (girls) + 6 liters (boy) = 14 liters\n\nFinally, to find out how much water was left, we subtract the total water given out from the original amount of water:\n\n24 liters (original) - 14 liters (given out) = 10 liters\n\nSo, $\\boxed{10}$ liters of water were left.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Charlie starts with 10 stickers. \n\nHe buys 21 more stickers, so he has: 10 + 21 = 31 stickers. \n\nThen he gets 23 more stickers for his birthday, so he has: 31 + 23 = 54 stickers. \n\nCharlie gives 9 stickers to his sister, so he has: 54 - 9 = 45 stickers. \n\nHe uses 28 stickers to decorate a greeting card, so he has: 45 - 28 = 17 stickers left. \n\nCharlie has $\\boxed{17}$ stickers left. \n\nThe answer is: 17", "answer": {"result": 17.0}}, "matches": true} +{"solution": {"solution": "First, let's find out what Alex weighs. \nAlex weighs 4 times what Grace weighs minus 2 pounds.\n4 times what Grace weighs is 4 * 125 = 500 pounds.\nSo, Alex weighs 500 - 2 = 498 pounds.\n\nNow, let's find their combined weights.\nGrace weighs 125 pounds and Alex weighs 498 pounds.\nTheir combined weight is 125 + 498 = 623 pounds.\n\n#### 623\nThe answer is: 623", "answer": {"result": 623.0}}, "matches": true} +{"solution": {"solution": "To find the total number of thorns, we start by calculating the total number of roses Dan plants and then multiply that by the number of thorns each rose has.\n\n1. First, we find the total number of roses by multiplying the number of rose bushes by the number of roses per bush:\n\\[3 \\text{ rose bushes} \\times 25 \\text{ roses/bush} = 75 \\text{ roses}\\]\n\n2. Next, we calculate the total number of thorns by multiplying the total number of roses by the number of thorns per rose:\n\\[75 \\text{ roses} \\times 8 \\text{ thorns/rose} = 600 \\text{ thorns}\\]\n\nTherefore, the total number of thorns on all the roses is $\\boxed{600}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote the number of games the football team lost as L. According to the problem, the team won 8 more games than they lost, so the number of games they won is W = L + 8.\n\nThe total number of games played is the sum of the games won and the games lost, which is given as 22. So we can write the equation:\n\nW + L = 22\n\nSubstituting the expression for W from the first equation into the second equation, we get:\n\n(L + 8) + L = 22\n2L + 8 = 22\n\nNow, we'll solve for L:\n\n2L = 22 - 8\n2L = 14\nL = 14 / 2\nL = 7\n\nNow that we know the team lost 7 games, we can find out how many games they won by adding 8 to the number of games lost:\n\nW = L + 8\nW = 7 + 8\nW = 15\n\nSo, the football team won $\\boxed{15}$ games.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Gene has been vacationing for 34 - 23 = 11 years.\n\nSince he goes on four vacations a year, he has taken 4 * 11 = 44 vacations.\n\nEach vacation is a separate quilt block.\n\nTherefore, Gene has 44 quilt blocks in total.\n\nTo confirm this with a Python code:\n\n```python\n# Variables\nyears_vacationing = 34 - 23\nvacations_per_ =year 4\n\n# Calculation\nquilt_blocks = years_vacationing * vacations_per_year\n\n# Output\nprint(\"Gene has\", quilt_blocks, \"quilt blocks in total.\")\n```\n\nRunning this code will display:\n\n```\nGene has 44 quilt blocks in total.\n```", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The first time the alarm went off, it rang for 4 times.\nThe second time it went off, it rang for 3 times as long as the first time, so it rang for 4 * 3 = 12 times.\nThe third time it went off, it rang for half as long as the second time, so it rang for 12 / 2 = 6 times.\nIn total, the alarm rang 4 + 12 + 6 = 22 times.\n#### 22\nThe answer is: 22", "answer": {"result": 22.0}}, "matches": true} +{"solution": {"solution": "\n\nSylvie's initial salary is $600. \n\nAfter 5 years, she receives a 10% increase, so her new salary becomes:\n\n$600 + ($600 * 10%) = $600 + $60 = $660.\n\nIf she continues to work for three more years, she will again receive a 10% increase on her new salary. \n\nSo, her salary after three more years will be:\n\n$660 + ($660 * 10%) = $660 + $66 = $726.\n\nTherefore, Sylvie's annual salary after three more years of service will be $726. \n\nAnswer:\n\n$726\n\n$726", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's say Harald sold x copies of his record.\nMarilyn's first record sold 10 times as many copies, so she sold 10x copies.\nThe total number of copies sold is x + 10x = 11x.\nWe know that the total number of copies sold is 88,000, so 11x = 88,000.\nTo find x, we divide both sides of the equation by 11: x = 88,000 / 11 = 8,000.\nTherefore, Harald sold 8,000 copies of his record.\n#### 8000\nThe answer is: 8000", "answer": {"result": 8000.0}}, "matches": true} +{"solution": {"solution": "Christina invited 16 friends to the party. Since 1/4 of the attendees don't show up, she needs gift bags for 3/4 of the invited guests. \n\n3/4 of 16 friends = 12 friends.\n\nChristina needs .75 gift bags per friend, so for 12 friends, she will need:\n\n12 friends * .75 gift bags per friend = 9 gift bags.\n\nEach gift bag costs $2, so the total cost for the gift bags will be:\n\n9 gift bags * $2 per gift bag = $18.\n\nTherefore, Christina will spend $\\boxed{\\$18}$ on gift bags for the party.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the total amount of potato salad needed for the dinosaur picnic, we start by determining the amount of potato salad each type of dinosaur will consume. \n\nFirst, we find out how much a child will eat. Given that an adult dinosaur eats 10 lbs of potato salad, and a child eats half as much as an adult, we calculate the child's consumption as follows:\n\\[ \\text{Child's portion} = \\frac{10 \\, \\text{lbs}}{2} = 5 \\, \\text{lbs} \\]\n\nNext, we calculate the total amount of potato salad needed for the children. With 5 children attending the picnic, the total for the children is:\n\\[ \\text{Total for children} = 5 \\, \\text{children} \\times 5 \\, \\text{lbs/child} = 25 \\, \\text{lbs} \\]\n\nThen, we find out how much potato salad the adults will consume. There are 20 adults, and each adult eats 10 lbs of potato salad, so the total for the adults is:\n\\[ \\text{Total for adults} = 20 \\, \\text{adults} \\times 10 \\, \\text{lbs/adult} = 200 \\, \\text{lbs} \\]\n\nFinally, to find the total amount of potato salad needed for the picnic, we add the total for the children and the total for the adults:\n\\[ \\text{Total potato salad needed} = 25 \\, \\text{lbs} + 200 \\, \\text{lbs} = 225 \\, \\text{lbs} \\]\n\nTherefore, Ted the T-Rex needs to bring $\\boxed{225}$ lbs of potato salad to the picnic.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Cindy has 4 pets, and Marcia has 2 more pets than Cindy, then Marcia has 4 + 2 = 6 pets.\n\nJan has three times the number of pets as Marcia, so Jan has 3 * 6 = 18 pets.\n\nThe total number of pets the three have is 4 (Cindy's pets) + 6 (Marcia's pets) + 18 (Jan's pets) = $\\boxed{28}$ pets.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's break down the information given:\n\n1. Amy is 5 years older than Jackson.\n2. Amy is 2 years younger than Corey.\n3. James is 10 years old and is 1 year younger than Corey.\n\nFrom point 3, we know that Corey is 1 year older than James, so:\n\nCorey = James + 1\nCorey = 10 + 1\nCorey = 11 years old\n\nFrom point 2, we know that Amy is 2 years younger than Corey, so:\n\nAmy = Corey - 2\nAmy = 11 - 2\nAmy = 9 years old\n\nFrom point 1, we know that Amy is 5 years older than Jackson, so:\n\nAmy = Jackson + 5\n9 = Jackson + 5\nJackson = 9 - 5\nJackson = 4 years old\n\nTherefore, Jackson is $\\boxed{4}$ years old.The answer is: 4", "answer": {"result": 4.0}}, "matches": true} +{"solution": {"solution": "If Lee runs the 400-meter hurdles in 38 seconds, and he used to be able to run it 2 seconds faster than Gerald, then Gerald's original time would be 38 + 2 = 40 seconds.\n\nGerald's diet improved his speed by 10%, so his new time would be his original time minus 10% of his original time.\n\n10% of 40 seconds is (10/100) * 40 = 4 seconds.\n\nSo, Gerald's new time is 40 seconds - 4 seconds = 36 seconds.\n\nGerald, with his improved diet, can now run the 400-meter hurdles in $\\boxed{36}$ seconds.The answer is: 36", "answer": {"result": 36.0}}, "matches": true} +{"solution": {"solution": "If the number of dogs is 60, and there are two cats for every dog, then there are 2 * 60 = 120 cats.\n\nThe combined number of dogs and cats is 60 + 120 = 180.\n\nThe number of rabbits is twelve less than the combined number of dogs and cats, so there are 180 - 12 = 168 rabbits.\n\nIn total, there are 60 dogs + 120 cats + 168 rabbits = $\\boxed{348}$ pets in the neighborhood.The answer is: 348", "answer": {"result": 348.0}}, "matches": true} +{"solution": {"solution": "\nOut of the 200 Grade 5 students, 2/5 are boys, so there are 2/5 x 200 = 80 boys.\nThe remaining students are girls, so there are 200 - 80 = 120 girls.\n2/3 of the girls are in the girl scout, so there are 2/3 x 120 = 80 girls in the girl scout.\nTherefore, there are 120 - 80 = 40 girls not in the girl scout.\n#### 40\nThe answer is: 40", "answer": {"result": 40.0}}, "matches": true} +{"solution": {"solution": "James slept 2/3 of what Harry slept, so James slept 2/3 * 9 = 6 hours. \n\nTo find out how many more hours Harry slept than James, we subtract James's sleep time from Harry's sleep time: \n\n9 hours (Harry's sleep) - 6 hours (James's sleep) = 3 hours. \n\nHarry slept $\\boxed{3}$ more hours than James.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. Freda loses half the volume of the tomatoes when cooking them into sauce. This means that for every 16 ounces of tomatoes, she ends up with 8 ounces of sauce.\n2. Freda's last batch of tomato sauce was 32 ounces. To find out how much tomato puree was used, we divide the total sauce volume by the ratio of puree to sauce:\n \\[\n \\frac{32 \\text{ ounces of sauce}}{\\frac{1}{2} \\text{ (since half the volume is lost)}} = 64 \\text{ ounces of tomato puree}\n \\]\n3. Each can contains 16 ounces of tomatoes, and each can has three tomatoes. Therefore, the amount of tomato puree per tomato is:\n \\[\n \\frac{16 \\text{ ounces}}{3 \\text{ tomatoes}} = \\frac{16}{3} \\text{ ounces/tomato}\n \\]\n4. To find out how many tomatoes Freda used, we divide the total amount of tomato puree by the amount of puree per tomato:\n \\[\n \\frac{64 \\text{ ounces of puree}}{\\frac{16}{3} \\text{ ounces/tomato}} = \\frac{64 \\times 3}{16} = 12 \\text{ tomatoes}\n \\]\n\nConclusion:\nFreda used $\\boxed{12}$ tomatoes for her 32 ounces of tomato sauce.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote the number of cars that drove through the traffic jam in the first 15 minutes as \\( x \\).\n\nAt the end of the first 15 minutes, there are \\( 30 - x \\) cars left on the motorway.\n\nIn the remaining 15 minutes, 20 more cars drive through the traffic jam, so the number of cars on the motorway decreases to \\( (30 - x) - 20 \\).\n\nAdditionally, 5 cars take an exit, so the number of cars on the motorway further decreases to \\( [(30 - x) - 20] - 5 \\).\n\nSince the traffic jam has ended, the number of cars on the motorway should be zero. Therefore, we can set up the equation:\n\n\\[ (30 - x) - 20 - 5 = 0 \\]\n\nSimplifying the equation:\n\n\\[ 30 - x - 20 - 5 = 0 \\]\n\\[ 5 - x = 0 \\]\n\nSolving for \\( x \\):\n\n\\[ x = 5 \\]\n\nSo, $\\boxed{5}$ cars drove through the traffic jam in the first 15 minutes.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, let's break it down step by step:\n\n1. **Calculate the total number of potted plants Mary initially has:**\n\nMary has 2 potted plants on each of the 40 window ledges. Therefore, the total number of potted plants she has initially is calculated as follows:\n\\[2 \\times 40 = 80\\]\n\n2. **Determine the number of potted plants she will give away:**\n\nMary plans to give away 1 potted plant from each of the 40 window ledges. Thus, the total number of potted plants she will give away is:\n\\[1 \\times 40 = 40\\]\n\n3. **Calculate the number of potted plants Mary will have left:**\n\nTo find out how many potted plants Mary will remain with after giving away 40, we subtract the number of potted plants she will give away from the total number of potted plants she initially had:\n\\[80 - 40 = 40\\]\n\nTherefore, after giving away 1 potted plant from each of the 40 window ledges, Mary will have $\\boxed{40}$ potted plants remaining.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nThe first friend pressed the doorbell 20 times. \nThe second friend pressed the doorbell 1/4 times more than the first friend, which is 20 + (1/4) * 20 = 20 + 5 = 25 times. \nThe third friend pressed the doorbell 10 times more than the fourth friend, so the third friend pressed the doorbell 60 + 10 = 70 times. \nThe fourth friend pressed the doorbell 60 times. \nSo in total, the doorbell was pressed 20 + 25 + 70 + 60 = 175 times. \n\n#### 175\nThe answer is: 175", "answer": {"result": 175.0}}, "matches": true} +{"solution": {"solution": "Solo has to read a total of 4 (Science) + 20 (Social Studies) + 7 (History) + 8 (Geography) = 39 pages.\nHe has already read 15 pages on Monday, so he has 39 - 15 = 24 pages left to read.\nHe has 4 more days to complete his reading, so he needs to read 24 pages / 4 days = 6 pages per day.\nTherefore, Solo needs to read an average of 6 pages per day.\n#### 6\nThe answer is: 6", "answer": {"result": 6.0}}, "matches": true} +{"solution": {"solution": "John drinks a glass of water with breakfast, lunch, dinner, and before bed each weekday. \n\nBreakfast: 1 glass\nLunch: 1 glass\nDinner: 1 glass\nBefore bed: 1 glass\n\nSo, in one weekday, John drinks 1 + 1 + 1 + 1 = 4 glasses of water.\n\nThere are 5 weekdays in a week, so in a week, John drinks 4 glasses/day * 5 days/week = 20 glasses of water.\n\nOn the weekends, John has a soda with dinner instead of water. Therefore, he still drinks water for breakfast, lunch, and before bed, which is 3 glasses per day.\n\nThere are 2 weekends in a week, so in a week, John drinks 3 glasses/day * 2 days/week = 6 glasses of water on the weekends.\n\nAdding the weekday water and weekend water, John drinks a total of 20 glasses + 6 glasses = $\\boxed{26}$ glasses of water in a week.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how many minutes it takes for the fog bank to cover the whole city, I need to determine how many 3-mile segments are in 42 miles. I can use division to find this number, since 42 divided by 3 is the same as 42 times 1/3. I can use long division or a calculator to find that 42 divided by 3 is 14. This means that there are 14 segments of 3 miles each in 42 miles. If it takes 10 minutes to cover each segment, I can multiply 10 by 14 to get the total minutes. I can use multiplication or a calculator to find that 10 times 14 is 140. Therefore, it will take 140 minutes for the fog bank to cover the whole city.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nPoppy starts by placing a quarter of the 1000 pieces on the board. \nA quarter of 1000 is 1000/4 = 250 pieces.\n\nAfter Poppy places 250 pieces, there are 1000 - 250 = 750 pieces remaining.\n\nHer mom then places a third of the remaining pieces. \nA third of 750 is 750/3 = 250 pieces.\n\nAfter her mom places 250 pieces, there are 750 - 250 = 500 pieces left to be placed.\n\nTherefore, there are 500 jigsaw pieces left to be placed.\n\n#### 500\nThe answer is: 500", "answer": {"result": 500.0}}, "matches": true} +{"solution": {"solution": "If Amir eats 5 cookies, then Cody eats 3 times as many, which is 3 * 5 = 15 cookies. \n\nTogether, they eat 5 (Amir's cookies) + 15 (Cody's cookies) = 20 cookies. \n\nSo, both of them eat $\\boxed{20}$ cookies together.The answer is: 20", "answer": {"result": 20.0}}, "matches": true} +{"solution": {"solution": "To find the total inner volume of all three boxes, we first need to determine the dimensions of the interior space of one box, then calculate the volume of that interior space, and finally multiply by three to account for all three boxes.\n\n1. **Calculate the dimensions of the interior space:**\n - The original dimensions of the box are 5 inches in length, 6 inches in width, and 4 inches in height.\n - The thickness of the walls is 1 inch on all sides. Therefore, the length of the interior space is reduced by 2 inches (1 on each side), the width by 2 inches, and the height by 2 inches.\n - Thus, the interior dimensions are $5 - 2 = 3$ inches in length, $6 - 2 = 4$ inches in width, and $4 - 2 = 2$ inches in height.\n\n2. **Calculate the volume of one interior space:**\n - The volume $V$ of a rectangular prism (box) is given by the formula $V = \\text{length} \\times \\text{width} \\times \\text{height}$.\n - Substituting the interior dimensions, we get $V = 3 \\times 4 \\times 2$.\n\n3. **Calculate the total inner volume of all three boxes:**\n - Since each box has the same interior dimensions, the total inner volume of all three boxes is three times the volume of one interior space.\n - Therefore, the total inner volume is $3 \\times (3 \\times 4 \\times 2)$.\n\n4. **Simplify and find the final answer:**\n - Simplifying the expression, we get $3 \\times (3 \\times 4 \\times 2) = 3 \\times 24 = 72$ cubic inches.\n\nTherefore, the total inner volume of all three boxes is $\\boxed{72}$ cubic inches.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's calculate the total watching time Frankie spent on TV from Monday to Friday, excluding Wednesday:\n\n- Monday: 1 hour\n- Tuesday: 1 hour\n- Thursday: 1 hour (1-hour episode) + 0.5 hours (0.5-hour show) = 1.5 hours\n- Friday: 2 hours (2-hour episodes) = 2 hours\n\nNow, let's add up the watching time for these days:\n\n1 (Monday) + 1 (Tuesday) + 1.5 (Thursday) + 2 (Friday) = 5.5 hours\n\nFrankie watched a total of 7 hours over the five days. To find out how much time he spent watching TV on Wednesday, we subtract the total watching time from Monday to Friday from the overall total:\n\n7 (total hours) - 5.5 (hours from Monday to Friday) = 1.5 hours\n\nWe know that on Wednesday, Frankie watched episodes of a 30-minute show. Since there are 2 episodes in 1.5 hours, we can find out how many episodes he watched by dividing the total watching time on Wednesday by the duration of one episode:\n\n1.5 hours / 0.5 hours per episode = 3 episodes\n\nFrankie watched $3$ 30-minute episodes on Wednesday.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote the number of cookies Henry baked last year as \\( x \\).\n\nHenry wanted to make twice as many as he did last year, so he intended to bake \\( 2x \\) cookies.\n\nHowever, he ended up baking \\( 2x + 15 \\) cookies because he baked 15 more than he intended.\n\nHe then dropped 5 cookies, so the actual number of cookies he has to count for the competition is \\( 2x + 15 - 5 \\).\n\nWe know that after dropping 5 cookies, he has 110 cookies left. So we can set up the equation:\n\n\\[ 2x + 15 - 5 = 110 \\]\n\nSimplifying the equation:\n\n\\[ 2x + 10 = 110 \\]\n\nSubtract 10 from both sides:\n\n\\[ 2x = 100 \\]\n\nDivide both sides by 2:\n\n\\[ x = 50 \\]\n\nHenry baked $\\boxed{50}$ cookies last year.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the total cost of gas with the cashback rewards, we follow these steps:\n\n1. First, calculate the total cashback for 10 gallons of gas. The cashback rate is $0.20 per gallon, and the person is buying 10 gallons. Therefore, the total cashback is calculated as:\n\\[10 \\times 0.20 = \\$2.00\\]\n\n2. Next, calculate the total cost of the gas without the cashback. The gas is priced at $3.00 per gallon, and the person is buying 10 gallons. Thus, the total cost without cashback is:\n\\[10 \\times 3.00 = \\$30.00\\]\n\n3. Finally, to find the total cost after applying the cashback, subtract the total cashback from the total cost before cashback:\n\\[\\$30.00 - \\$2.00 = \\$28.00\\]\n\nTherefore, the total cost of the gas, after the cashback rewards, is $\\boxed{\\$28.00}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the average number of fruit roll-ups eaten by Marcell and Beatrice, we first need to calculate the total number of fruit roll-ups each consumed.\n\nFor Beatrice, who unrolled her fruit roll-ups in a width of 2 roll-ups and a length of 24 roll-ups, the total number of roll-ups eaten by Beatrice is calculated as:\n\\[2 \\, \\text{(width)} \\times 24 \\, \\text{(length)} = 48 \\, \\text{fruit roll-ups}\\]\n\nFor Marcell, who unrolled his fruit roll-ups in a width of 3 roll-ups and a length of 14 roll-ups, the total number of roll-ups eaten by Marcell is calculated as:\n\\[3 \\, \\text{(width)} \\times 14 \\, \\text{(length)} = 42 \\, \\text{fruit roll-ups}\\]\n\nTo find the average number of fruit roll-ups eaten by both, we add the total roll-ups eaten by each and then divide by the number of people (which is 2 in this case):\n\\[48 \\, \\text{(Beatrice's total)} + 42 \\, \\text{(Marcell's total)} = 90 \\, \\text{fruit roll-ups}\\]\n\\[90 \\, \\text{fruit roll-ups} \\div 2 \\, \\text{(people)} = 45 \\, \\text{fruit roll-ups per person}\\]\n\nTherefore, the average number of fruit roll-ups eaten by Marcell and Beatrice is $\\boxed{45}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. Calculate the total distance Julia had to row to reach the shore:\n - Distance = 64 seconds * 20 feet/second = 1280 feet\n\n2. Determine how many 10-foot segments of 20 feet she rowed:\n - Number of segments = 1280 feet / 20 feet = 64 segments\n\n3. Calculate the total liters of water that entered the boat:\n - Total water = 64 segments * 2 liters/segment = 128 liters\n\nConclusion:\n- Julia's boat had taken on 128 liters of water by the time she reached the shore.\n\n$\\boxed{128 \\text{ liters}}$", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nEach teacher uses the whiteboard twice a day, so 4 teachers will use it 4 * 2 = 8 times a day.\n\nSince the whiteboard is cleaned 3 times per lesson, it will be cleaned 8 * 3 = $\\boxed{24}$ times in a day.\n\nAnswer: 24", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Ryan plants 2 flowers a day, so after 15 days, he would have planted 2 * 15 = 30 flowers.\nHowever, 5 of those flowers did not grow, so the total number of flowers Ryan has is 30 - 5 = 25.\n#### 25\nThe answer is: 25", "answer": {"result": 25.0}}, "matches": true} +{"solution": {"solution": "Let's break down the problem step by step:\n\n1. Jamal's phone can hold 6 times more photographs than Brittany's phone. This means that if Brittany's phone can hold X photographs, then Jamal's phone can hold 6X photographs. We are given that Jamal's phone can hold 1800 photographs. Therefore, we can write the equation:\n \\[6X = 1800\\]\n\n2. Solving for X gives us the number of photographs Brittany's phone can hold:\n \\[X = \\frac{1800}{6} = 300\\]\n\n3. The maximum number of photographs that Brittany's phone can hold is 50 times more than the number of birds in Jamal's photograph of the ducks at the zoo. This means that if Brittany's phone can hold 300 photographs, then the number of birds (ducks) in Jamal's photograph is 50 times less than that. We can express this relationship as:\n \\[300 = 50 \\times \\text{number of ducks}\\]\n\n4. Solving for the number of ducks:\n \\[\\text{number of ducks} = \\frac{300}{50} = 6\\]\n\nTherefore, the number of ducks that can be seen in Jamal's photograph of ducks at the zoo is $\\boxed{6}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total cost of the 2 x 4 x 10 boards. Sasha bought ten of them at $10 each, so the cost is:\n10 boards * $10/board = $100\n\nNext, let's calculate the total cost of the 4 x 4 x 10 boards. Sasha bought five of them at $16 each, so the cost is:\n5 boards * $16/board = $80\n\nNow, let's add the costs of both types of boards to find the total cost:\n$100 (2 x 4 x 10 boards) + $80 (4 x 4 x 10 boards) = $180\n\nSince prices for lumber have gone up by 50%, we need to increase the total cost by 50% to find out how much she would have paid for them now:\n50% of $180 = 0.50 * $180 = $90\n\nNow, let's add the $90 increase to the original total cost to get the new total cost:\n$180 + $90 = $270\n\nSasha is selling all the boards, so her total revenue from selling them will be the new total cost:\n$270\n\nFinally, let's calculate her profit by subtracting the original total cost from the new total cost:\nProfit = Total revenue - Original total cost\nProfit = $270 - $180 = $90\n\nSasha makes a profit of $\\boxed{\\$90}$ by selling the leftover lumber.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nThe ratio of sugar to water is 7:13, which means for every 7 teaspoons of sugar, Katy uses 13 cups of water.\n\nTo find the total number of teaspoonfuls of sugar used, we need to determine the fraction of the total amount that represents sugar and then multiply it by the total number of teaspoonfuls.\n\nThe fraction of the total amount that represents sugar is 7/(7+13) = 7/20.\n\nNow, we multiply this fraction by the total number of teaspoonfuls (120) to find the number of teaspoonfuls of sugar used:\n\n7/20 * 120 = 42\n\nTherefore, Katy used 42 teaspoonfuls of sugar.\n\nAnswer:\n\n42\n\nThe answer is: 42", "answer": {"result": 42.0}}, "matches": true} +{"solution": {"solution": "John has 3 children and he buys 2 pairs of shoes for each child, so he buys a total of 3 children * 2 pairs = 6 pairs of shoes.\n\nEach pair of shoes costs $60, so for 6 pairs of shoes, John pays 6 pairs * $60/pair = $360.\n\nTherefore, John paid $\\boxed{\\$360}$ for the shoes.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Given Information**:\n - On the first day, two containers were brought in, and each container had 5 vehicles.\n - The total number of vehicles on the first day is therefore:\n \\[\n 2 \\text{ containers} \\times 5 \\text{ vehicles/container} = 10 \\text{ vehicles}\n \\]\n - The total number of vehicles at the port after the second day is 30.\n\n2. **Calculate the Total Vehicles Brought in on the Second Day**:\n - Let \\( x \\) be the number of containers brought in on the second day.\n - Each container on the second day contains 5 vehicles.\n - Therefore, the number of vehicles brought in on the second day is:\n \\[\n x \\text{ containers} \\times 5 \\text{ vehicles/container} = 5x\n \\]\n\n3. **Set Up the Equation**:\n - The total number of vehicles on the second day, including those from the first day, is given as 30.\n - We can write this as an equation:\n \\[\n 10 \\text{ vehicles} + 5x \\text{ vehicles} = 30 \\text{ vehicles}\n \\]\n\n4. **Solve for \\( x \\)**:\n - Combine the constants on the left side:\n \\[\n 10 + 5x = 30\n \\]\n - Subtract 10 from both sides:\n \\[\n 5x = 30 - 10\n \\]\n \\[\n 5x = 20\n \\]\n - Divide both sides by 5:\n \\[\n x = \\frac{20}{5}\n \\]\n \\[\n x = 4\n \\]\n\n5. **Conclusion**:\n - The number of containers brought in on the second day is:\n \\[\n \\boxed{4}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nFour years ago, Adrien was earning $40,000.\n\nHis salary was 30% higher than Lylah's, so Lylah was earning $40,000 / (1 + 0.30) = $40,000 / 1.30 = $30,769.\n\nFour years later, Adrien's salary increased by 40%, so his new salary is $40,000 * 1.40 = $56,000.\n\nLylah's salary also increased by 40%, so her new salary is $30,769 * 1.40 = $43,076.60.\n\nThe total salary they were receiving four years later is $56,000 + $43,076.60 = $99,076.60.\n\nHowever, since we're asked for the total salary \"the two were receiving,\" we should round to the nearest dollar:\n\n$99,076.60 rounded to the nearest dollar is $99,077.\n\nTherefore, the total salary the two were receiving four years later is $\\boxed{99077}$.\n\nAnswer: 99077", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Miguel uses 2 pads of paper a week, so he uses 2 * 30 = 60 sheets of paper per week. \n\nThere are approximately 4 weeks in a month, so in a month, he uses 60 * 4 = 240 sheets of paper. \n\nTherefore, Miguel uses $\\boxed{240}$ sheets of paper every month.The answer is: 240", "answer": {"result": 240.0}}, "matches": true} +{"solution": {"solution": "Morisette brought 5 apples and 8 oranges, so she has a total of 5 + 8 = 13 fruits.\n\nKael brought twice the amount of apples as Morisette, so he brought 2 * 5 = 10 apples.\n\nKael also brought half the number of oranges as Morisette, so he brought 8 / 2 = 4 oranges.\n\nIn total, Kael has 10 + 4 = 14 fruits.\n\nTogether, Morisette and Kael have 13 + 14 = 27 fruits.\n\n#### 27\nThe answer is: 27", "answer": {"result": 27.0}}, "matches": true} +{"solution": {"solution": "Sadie slept 8 hours on Monday. \nFor the next two days, she slept 2 hours less each, so she slept 8 - 2 = 6 hours each of those days. \nFor the rest of the week, she slept 1 hour more than those two days, so she slept 6 + 1 = 7 hours each of those days. \nThere are 7 days in a week, so she slept 8 + 6 + 6 + 7 + 7 + 7 + 7 = 48 hours in total throughout the week. \n\n#### 48\nThe answer is: 48", "answer": {"result": 48.0}}, "matches": true} +{"solution": {"solution": "Rosie runs at a speed of 10 miles per hour for 3 hours, so she covers a distance of 10 miles/hour * 3 hours = 30 miles.\n\nAfter running for 3 hours, Rosie's speed changes to 5 miles per hour. She has 4 hours left to run at this new speed (7 hours total - 3 hours already run).\n\nSo, the distance she covers at 5 miles per hour is 5 miles/hour * 4 hours = 20 miles.\n\nIn total, Rosie can run 30 miles + 20 miles = $\\boxed{50}$ miles in 7 hours.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Jennie puts stamps on one-third of the 60 letters needing stamps. So, she stamps 60 / 3 = 20 letters.\n\nNow, she has 30 already-stamped letters after adding the 20 she just stamped.\n\nThis means that before she started stamping, there were 30 - 20 = $\\boxed{10}$ letters in the pile of already-stamped letters.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how many spoons were in the package that Julia bought, we start by determining the total number of spoons after her husband gave her 5 new spoons. Julia ends up with a total of 12 spoons after setting the table. This total includes the spoons she bought and the 5 new spoons her husband gave her. Therefore, the calculation to find the number of spoons Julia bought is as follows:\n\\[12 \\text{ spoons (total)} - 5 \\text{ spoons (given by husband)} = 7 \\text{ spoons}\\]\n\nSo, Julia bought $\\boxed{7}$ spoons.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Dylan bought 38 chicken sausages. The number of fish sausages he bought is 6 more than the number of chicken sausages, so he bought 38 + 6 = 44 fish sausages. \n\nTo find the total number of sausages Dylan bought, we add the number of chicken sausages to the number of fish sausages: 38 + 44 = 82 sausages. \n\nDylan bought $\\boxed{82}$ sausages in all.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Lily made 50 friends, and Amy made 20 more friends than Lily, then Amy made 50 + 20 = 70 friends.\n\nTogether, Lily and Amy have 50 (Lily's friends) + 70 (Amy's friends) = $\\boxed{120}$ friends.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If each pepper costs 15 dollars, then a watermelon costs 3 * 15 dollars = 45 dollars.\nAnd an orange costs 45 dollars - 5 dollars = 40 dollars.\nFour watermelons cost 4 * 45 dollars = 180 dollars.\nTwenty peppers cost 20 * 15 dollars = 300 dollars.\nTen oranges cost 10 * 40 dollars = 400 dollars.\nThe total cost for the purchases is 180 dollars + 300 dollars + 400 dollars = 880 dollars.\nThe answer is 880", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nFirst, let's calculate the total number of doctor-hours spent on patients:\n\n- There are 500 patients a day.\n- Each patient is seen for an average of 24 minutes.\n- There are 60 minutes in an hour, so 24 minutes is 24/60 = 0.4 hours.\n- Therefore, the total doctor-hours spent is 500 patients * 0.4 hours/patient = 200 hours.\n\nNext, let's calculate the total revenue from patients:\n\n- Patients pay $200 an hour, so for 200 hours, the total revenue is 200 hours * $200/hour = $40,000.\n\nNow, let's calculate the total cost for the hospital:\n\n- Doctors charge $150 an hour, so for 200 hours, the total cost is 200 hours * $150/hour = $30,000.\n\nFinally, let's calculate the hospital's profit:\n\n- Profit is total revenue minus total cost, so $40,000 - $30,000 = $10,000.\n\nThe hospital makes a profit of $10,000 from these visits.\n\nAnswer: $10,000", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Nissa hires 60 elves. A third of them quit, so 60/3 = 20 elves quit. \n\nAfter 20 elves quit, there are 60 - 20 = 40 elves remaining. \n\nThen, 10 more elves quit after kids kick their shins, leaving 40 - 10 = 30 elves. \n\nSo, there are $\\boxed{30}$ elves left.The answer is: 30", "answer": {"result": 30.0}}, "matches": true} +{"solution": {"solution": "Joseph's expenditure in May was $500. \nIn June, his expenditure was $60 less than in May, so it was $500 - $60 = $440. \nTo find his total expenditure for those two months, we add the expenditures for May and June: $500 + $440 = $940. \n#### 940\nThe answer is: 940", "answer": {"result": 940.0}}, "matches": true} +{"solution": {"solution": "Pam rode the roller coaster 2 times, so she used 2 x 6 = 12 tickets for the roller coaster.\nFred rode the roller coaster 4 times, so he used 4 x 6 = 24 tickets for the roller coaster.\nBoth Pam and Fred decided to ride the luge 2 times each, so they used 2 x 6 = 12 tickets each for the luge.\nIn total, Pam used 12 + 12 = 24 tickets.\nIn total, Fred used 24 + 12 = 36 tickets.\nTherefore, Pam and Fred used 24 + 36 = 60 tickets that day.\n#### 60\nThe answer is: 60", "answer": {"result": 60.0}}, "matches": true} +{"solution": {"solution": "On Monday, Walt walked 4 miles.\n\nOn Tuesday, he walked 6 times as many miles as he walked on Monday, so he walked 6 * 4 = 24 miles.\n\nTo find out how many miles he walked on Wednesday, we need to subtract the miles he walked on Monday and Tuesday from the total mileage of Monday through Wednesday.\n\nTotal mileage Monday through Wednesday = 41 miles\nMiles walked on Monday + Tuesday = 4 + 24 = 28 miles\n\nTherefore, the miles walked on Wednesday = Total mileage - (Miles walked on Monday + Tuesday)\n= 41 - 28\n= 13 miles\n\nWalt walked $\\boxed{13}$ miles on Wednesday.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Tom gets 4 car washes a month, so in a year he gets 4 * 12 = 48 car washes. \n\nIf each car wash costs $15, then the total amount he pays in a year is 48 * $15 = $\\boxed{\\$720}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Brian has 20 - 5 = 15 video games.\nThree times as many video games as Brian has is 15 * 3 = 45 video games.\nBobby has 5 fewer than that, so Bobby has 45 - 5 = 40 video games.\n#### 40\nThe answer is: 40", "answer": {"result": 40.0}}, "matches": true} +{"solution": {"solution": "One third of 27 is (1/3) * 27 = 9 unicorns in the Scottish Highlands.\nTwo thirds of 9 is (2/3) * 9 = 6 unicorns that are female.\nTherefore, there are 6 female Scottish unicorns.\n#### 6\nThe answer is: 6", "answer": {"result": 6.0}}, "matches": true} +{"solution": {"solution": "Rory orders 2 subs for $7.50 each, so the total cost for the subs is 2 * $7.50 = $15.00\nShe also orders 2 bags of chips for $1.50 each, so the total cost for the chips is 2 * $1.50 = $3.00\nShe also orders 2 cookies for $1.00 each, so the total cost for the cookies is 2 * $1.00 = $2.00\n\nThe total cost of her order before delivery fee and tip is $15.00 + $3.00 + $2.00 = $20.00\n\nThere's a 20% delivery fee added at checkout, so the delivery fee is 20% of $20.00, which is 0.20 * $20.00 = $4.00\n\nRory wants to add a $5.00 tip, so the total tip is $5.00\n\nThe final cost of her delivery order including the delivery fee and tip is $20.00 + $4.00 + $5.00 = $29.00\n\n#### 29\nThe answer is: 29", "answer": {"result": 29.0}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's break it down into steps:\n\n1. **Calculate the total time Mark had for each test:**\n - For the first test, Mark had 8 hours available.\n - For the second test, Mark had 6 hours available.\n\n2. **Determine the rate of completion for each test:**\n - Mark completed the first test at a rate of 5 questions per hour.\n - Mark completed the second test at the same rate of 5 questions per hour.\n\n3. **Calculate the number of questions Mark could complete in each test:**\n - In the first test, with 8 hours available at a rate of 5 questions per hour, Mark could complete $8 \\, \\text{hours} \\times 5 \\, \\text{questions/hour} = 40 \\, \\text{questions}$.\n - In the second test, with 6 hours available at a rate of 5 questions per hour, Mark could complete $6 \\, \\text{hours} \\times 5 \\, \\text{questions/hour} = 30 \\, \\text{questions}$.\n\n4. **Find out how many questions were incomplete for each test:**\n - For the first test, since Mark completed 40 questions out of 75, the number of questions left incomplete is $75 \\, \\text{questions} - 40 \\, \\text{questions} = 35 \\, \\text{questions}$.\n - For the second test, since Mark completed 30 questions out of 100, the number of questions left incomplete is $100 \\, \\text{questions} - 30 \\, \\text{questions} = 70 \\, \\text{questions}$.\n\nTherefore, the total number of questions Mark left incomplete is the sum of the questions left incomplete from both tests:\n\\[35 \\, \\text{questions} + 70 \\, \\text{questions} = 105 \\, \\text{questions}.\\]\n\nHence, Mark left $\\boxed{105}$ questions incomplete.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's call the number of pink gumballs P and the number of blue gumballs B.\nWe know that B = 12.\nThe problem states that there are 22 more than four times the number of pink gumballs as there are blue gumballs.\nSo, we can write the equation P = 4B + 22.\nSubstituting B = 12 into the equation, we get P = 4(12) + 22.\nSimplifying, we get P = 48 + 22.\nAdding, we get P = 70.\nTherefore, there are 70 pink gumballs.\n#### 70\nThe answer is: 70", "answer": {"result": 70.0}}, "matches": true} +{"solution": {"solution": "To find the percentage of semi-automatic cars, we first need to determine the total number of cars that are not automatic or manual. We know there are 12 automatic cars and 4 manual cars, so that's a total of 12 + 4 = 16 cars accounted for. Since there are 20 cars in total, the number of semi-automatic cars is 20 - 16 = 4.\n\nNow, to find the percentage of semi-automatic cars, we divide the number of semi-automatic cars by the total number of cars and multiply by 100:\n\nPercentage of semi-automatic cars = (Number of semi-automatic cars / Total number of cars) \u00d7 100\nPercentage of semi-automatic cars = (4 / 20) \u00d7 100\nPercentage of semi-automatic cars = 0.2 \u00d7 100\nPercentage of semi-automatic cars = 20%\n\nSo, 20% of the cars are semi-automatic.\n\nFinal answer: \\boxed{20}", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve the problem, we start by understanding the relationships given:\n\n1. There are twice as many worker bees as baby bees.\n2. There are twice as many babies as queens.\n\nLet's denote the number of queens as $q$, the number of babies as $b$, and the number of worker bees as $w$.\n\nFrom the second relationship, we know that the number of babies is twice the number of queens:\n\\[b = 2q\\]\n\nFrom the first relationship, we know that the number of worker bees is twice the number of babies:\n\\[w = 2b\\]\n\nGiven that the total number of bees in the hive is 700, we can express this total as the sum of queens, babies, and worker bees:\n\\[w + b + q = 700\\]\n\nSubstituting the expressions for $b$ and $w$ in terms of $q$ into this equation gives us:\n\\[2b + b + q = 700\\]\n\\[3b + q = 700\\]\n\\[2(2q) + q = 700\\]\n\\[4q + q = 700\\]\n\\[5q = 700\\]\n\nSolving for $q$, we find the number of queens:\n\\[q = \\frac{700}{5} = 140\\]\n\nNow, knowing the number of queens, we can find the number of babies:\n\\[b = 2q = 2 \\times 140 = 280\\]\n\nFinally, to find the number of worker bees, we use the number of babies:\n\\[w = 2b = 2 \\times 280 = 560\\]\n\nTherefore, the number of worker bees in the hive is $\\boxed{560}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Jordan plays video games for 2 hours every day, then in one week (7 days) he would spend a total of 2 hours/day * 7 days = 14 hours. \n\nIf Jordan earns $10 an hour at his part-time job, then in one week if he worked instead of playing video games, he would earn 14 hours * $10/hour = $140. \n\nTherefore, Jordan would earn $\\boxed{\\$140}$ in one week if he spent his video game time working.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total cost for the nonfood items (light bulbs, cups, and roach traps) before tax:\n\nLight bulbs: $3\nCups: $3\nRoach traps: $4\n\nTotal for nonfood items before tax = $3 + $3 + $4 = $10\n\nNow, let's calculate the tax on the nonfood items. Since the tax is 10%, we multiply the total cost of nonfood items by 10% (or 0.10):\n\nTax on nonfood items = $10 * 0.10 = $1\n\nNow, let's add the tax to the total cost of nonfood items to get the total cost after tax:\n\nTotal cost of nonfood items after tax = $10 + $1 = $11\n\nNext, let's calculate the total cost for the food item (milk) since it is not taxed:\n\nMilk: $2\n\nTotal cost for food item = $2\n\nFinally, let's add the total cost for food and nonfood items to get the grand total:\n\nGrand total = Total cost for nonfood items after tax + Total cost for food item\nGrand total = $11 + $2 = $13\n\nSo, everything cost John $\\boxed{\\$13}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the weekly profit for Kim, we first need to determine his total expenses based on the number of clients he expects to have. \n\n1. Calculate the total number of clients Kim will have:\n\\[3 \\text{ current clients} + 5 \\text{ potential clients} = 8 \\text{ clients}\\]\n\n2. Determine the cost for bleach and cloths per client:\n- Each client needs 2 bottles of bleach at $2 each, so the cost for bleach per client is:\n\\[2 \\text{ bottles} \\times \\$2/\\text{bottle} = \\$4\\]\n- Each client also needs 1 pack of cloths at $5, so the cost for cloths per client is:\n\\[1 \\text{ pack} \\times \\$5/\\text{pack} = \\$5\\]\n\n3. Calculate the total expenses for all clients:\n\\[8 \\text{ clients} \\times (\\$4 \\text{ for bleach} + \\$5 \\text{ for cloths}) = 8 \\times \\$9 = \\$72\\]\n\n4. To find the weekly profit, subtract the total expenses from the total income:\n\\[\\$92 \\text{ total income} - \\$72 \\text{ total expenses} = \\$20 \\text{ weekly profit}\\]\n\nTherefore, Kim will make a profit of $\\boxed{\\$20}$ each week.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "John has 10 hectares of pineapple field with 100 pineapples per hectare, so he has a total of 10 * 100 = 1000 pineapples. \n\nJohn can harvest his pineapples every 3 months. In a year, there are 12 months, so he can harvest his pineapples 12 / 3 = 4 times in a year.\n\nTherefore, John can harvest a total of 1000 pineapples * 4 times = $\\boxed{4000}$ pineapples within a year.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Johnny dumped a lego boxed set with 500 pieces on the floor. \n\nThe second set had 3 times more pieces than the 500 piece one, so it had 3 * 500 = 1500 pieces.\n\nThe third set had 1/4 the number of pieces as the first set, so it had 1/4 * 500 = 125 pieces.\n\nIn total, Johnny has 500 + 1500 + 125 = 2125 pieces of legos on the floor.\n\nIf Johnny picks up all the legos, he picks up 2125 pieces.\n\n#### 2125\nThe answer is: 2125", "answer": {"result": 2125.0}}, "matches": true} +{"solution": {"solution": "Debra sees 30 bees leave the hive in the first 6 hours.\nIn the next 6 hours, she sees 1/2 that many bees return, which is 30/2 = 15 bees.\nShe then sees two times as many bees as she saw first leave the hive fly from the hive and leave in the next 6 hours.\nThis means she sees 2 * 30 = 60 bees leave the hive.\nFinally, every bee that left before that hadn't already returned returns to the hive in the next 6 hours.\nSince 15 bees returned earlier and 60 bees left, there are 30 bees left to return.\nTherefore, Debra sees 30 bees return to the hive in the last 6 hours of the day.\n#### 30\nThe answer is: 30", "answer": {"result": 30.0}}, "matches": false} +{"solution": {"solution": "The cost of the adult ticket is $12 and the cost of the child ticket is $10. \n\nBrittany's mom bought 1 adult ticket and 1 child ticket, so the total cost is $12 + $10 = $22. \n\nShe received $8 in change, which means she gave the cashier a total of $22 + $8 = $30. \n\nTherefore, Brittany's mom gave the cashier $30. \n\n#### 30\nThe answer is: 30", "answer": {"result": 30.0}}, "matches": true} +{"solution": {"solution": "To solve the problem, we start by understanding the relationships given between the number of Facebook friends of Charlie, Dorothy, and James. \n\n1. We know Charlie has three times as many Facebook friends as Dorothy. Given that Charlie has 12 friends, we can set up an equation to find out how many friends Dorothy has. Let's denote the number of Dorothy's friends as $D$. Therefore, we have:\n\\[3D = 12\\]\n\n2. Solving for $D$, we divide both sides of the equation by 3:\n\\[D = \\frac{12}{3} = 4\\]\n\n3. Now, we know that James has four times as many friends as Dorothy. Let's denote the number of James's friends as $J$. Using the information that Dorothy has 4 friends, we can express James's friends as:\n\\[4 \\cdot 4 = 16\\]\n\nTherefore, James has $\\boxed{16}$ Facebook friends.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's convert the distances from miles to feet, since the speed is given in feet per minute.\n\nSteve lives 3 miles away, which is 3 * 5280 = 15840 feet away.\nTim lives 2 miles away, which is 2 * 5280 = 10560 feet away.\n\nNow, let's calculate the time it takes for each person to reach home.\n\nSteve's time:\n15840 feet / 440 feet per minute = 36 minutes\n\nTim's time:\n10560 feet / 264 feet per minute = 40 minutes\n\nNow, we compare the times to determine who finishes first.\n\nSteve finishes in 36 minutes.\nTim finishes in 40 minutes.\n\nSteve finishes the race first.\n\nTo find out how long the winner (Steve) will have to wait for Tim to finish, we subtract Steve's time from Tim's time.\n\n40 minutes - 36 minutes = 4 minutes\n\nSteve will have to wait 4 minutes before Tim finishes the race.\n\n#### 4\nThe answer is: 4", "answer": {"result": 4.0}}, "matches": true} +{"solution": {"solution": "To calculate the total amount Shawnda made that day, we need to consider the charges for each type of vehicle that was brought in for inflation:\n\n1. For the bicycles, each person had two tires inflated. Since there were 5 bicycles, and each tire costs 25 cents, the calculation for the bicycles is:\n\\[5 \\text{ bicycles} \\times 2 \\text{ tires per bicycle} \\times 25 \\text{ cents per tire} = 5 \\times 2 \\times 25 = 250 \\text{ cents}\\]\n\n2. For the tricycles, each person had three tires inflated. There were 3 tricycles, so the calculation for the tricycles is:\n\\[3 \\text{ tricycles} \\times 3 \\text{ tires per tricycle} \\times 25 \\text{ cents per tire} = 3 \\times 3 \\times 25 = 225 \\text{ cents}\\]\n\n3. The person on the unicycle required inflation for one tire. Since there was 1 unicycle, the calculation for the unicycle is:\n\\[1 \\text{ unicycle} \\times 1 \\text{ tire per unicycle} \\times 25 \\text{ cents per tire} = 1 \\times 1 \\times 25 = 25 \\text{ cents}\\]\n\nAdding all these amounts together gives the total earnings for the day:\n\\[250 \\text{ cents} + 225 \\text{ cents} + 25 \\text{ cents} = 500 \\text{ cents}\\]\n\nTo convert the total cents into dollars, we divide by 100 (since $1 dollar = 100 cents):\n\\[500 \\text{ cents} / 100 = \\$5\\]\n\nTherefore, the total amount Shawnda made that day is $\\boxed{\\$5}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Carl buys ten packs of cookies, and each pack has six cookies, so he buys a total of 10 * 6 = 60 cookies.\n\nEach cookie costs $0.10, so the total cost of 60 cookies is 60 * $0.10 = $6.\n\nCarl pays with a $10 bill, so the change he receives is $10 - $6 = $4.\n\nTherefore, Carl receives $4 in change.\n\n#### 4\nThe answer is: 4", "answer": {"result": 4.0}}, "matches": true} +{"solution": {"solution": "1. Let's denote the total number of french fries Dave bought as \\( x \\).\n\n2. Dave ate 14 french fries.\n\n3. The seagull ate half as many as Dave ate:\n \\[\n \\text{French fries eaten by seagull} = \\frac{14}{2} = 7 \n \\]\n\n4. After the seagull ate 7 fries, the remaining fries are:\n \\[\n x - 14 - 7 = x - 21\n \\]\n\n5. Three pigeons each ate 3 fries:\n \\[\n \\text{French fries eaten by pigeons} = 3 \\times 3 = 9\n \\]\n\n6. Subtracting the fries eaten by the pigeons from the remaining fries:\n \\[\n x - 21 - 9 = x - 30\n \\]\n\n7. The raccoon ate two-thirds of the remaining fries:\n \\[\n \\text{French fries eaten by raccoon} = \\frac{2}{3} (x - 30)\n \\]\n\n8. Subtracting the fries eaten by the raccoon from the remaining fries:\n \\[\n x - 30 - \\frac{2}{3}(x - 30) = x - 30 - \\frac{2}{3}x + 20 = \\frac{1}{3}x + 10\n \\]\n\n9. Finally, ants carried off one fry, leaving 5 fries remaining:\n \\[\n \\frac{1}{3}x + 10 - 1 = 5 \n \\]\n\n10. Solving for \\( x \\):\n \\[\n \\frac{1}{3}x + 9 = 5 \n \\]\n \\[\n \\frac{1}{3}x = 5 - 9 \n \\]\n \\[\n \\frac{1}{3}x = -4 \n \\]\n Multiply both sides by 3 to isolate \\( x \\):\n \\[\n x = -4 \\times 3 = -12 \n \\]\n\n11. Since the number of french fries cannot be negative, the calculation error must be corrected. Revisiting the step where the raccoon ate two-thirds of the remaining fries:\n \\[\n x - 30 - \\frac{2}{3}(x - 30) = 5 \n \\]\n Simplifying correctly:\n \\[\n x - 30 - \\frac{2}{3}x + 20 = 5 \n \\]\n \\[\n x - \\frac{2}{3}x - 10 = 5 \n \\]\n \\[\n \\frac{1}{3}x - 10 = 5\n \\]\n \\[\n \\frac{1}{3}x = 15\n \\]\n Multiply both sides by 3:\n \\[\n x = 45\n \\]\n\n### Conclusion:\n\\[\n\\boxed{45}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nKimo has three 1-hour classes each day on Mondays, Wednesdays, and Fridays. \nSo, he spends 3 classes x 1 hour/class = 3 hours each day on those days.\n\nKimo has two 2-hour classes each day on Tuesdays and Thursdays. \nSo, he spends 2 classes x 2 hours/class = 4 hours each day on those days.\n\nIn one week, Kimo spends 3 days x 3 hours/day + 2 days x 4 hours/day = 9 + 8 = 17 hours attending classes.\n\nIn one semester with 16 weeks, Kimo spends 16 weeks x 17 hours/week = 272 hours attending classes.\n\n#### 272\nThe answer is: 272", "answer": {"result": 272.0}}, "matches": true} +{"solution": {"solution": "First, let's convert all the measurements to inches since the length of the rolls and croissants are given in inches. \n\n1 baguette is two feet long, which is 24 inches (since 1 foot = 12 inches).\n\nNow, let's calculate the total length of each type of baked good:\n\nRolls: 300 rolls * 4 inches each = 1200 inches\nCroissants: 120 croissants * 6 inches each = 720 inches\nBaguettes: 60 baguettes * 24 inches each = 1440 inches\n\nNow, let's add up the total length of all the baked goods:\n\nTotal length = Length of rolls + Length of croissants + Length of baguettes\nTotal length = 1200 inches + 720 inches + 1440 inches\nTotal length = 3360 inches\n\nFinally, let's convert the total length back to feet:\n\nTotal length in feet = Total length in inches / 12 (since 1 foot = 12 inches)\nTotal length in feet = 3360 inches / 12\nTotal length in feet = 280 feet\n\nSo, if Bill puts all the baked goods end to end, they will be $\\boxed{280}$ feet long.The answer is: 280", "answer": {"result": 280.0}}, "matches": true} +{"solution": {"solution": "To calculate the total number of bananas the zookeeper needs to order for two months, we start by determining the monthly requirement for each type of ape:\n\n- Monkeys need 200 bananas per month.\n- Gorillas need 400 bananas per month.\n- Baboons need 100 bananas per month.\n\nAdding these together gives us the total monthly banana requirement:\n\\[200 + 400 + 100 = 700 \\text{ bananas per month}\\]\n\nSince the zookeeper needs bananas for two months, we multiply the monthly requirement by 2:\n\\[700 \\times 2 = 1400 \\text{ bananas}\\]\n\nTherefore, the zookeeper needs to order $\\boxed{1400}$ bananas to last for two months.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, we need to calculate the total distance each person runs and then determine who ran farther.\n\n1. **Calculate the distance Blake runs:**\n - A football field is 100 yards long.\n - Blake runs back and forth 15 times.\n - Therefore, each round of Blake's running covers a distance of $2 \\times 100$ yards (going out and returning).\n - The total distance Blake runs is $2 \\times 100 \\times 15 = 3000$ yards.\n\n2. **Calculate the distance Kelly runs:**\n - Kelly runs to the 40-yard line and back.\n - The round-trip distance for Kelly is $40 \\times 2 = 80$ yards.\n - She repeats this 34 times.\n - Thus, the total distance Kelly runs is $80 \\times 34 = 2720$ yards.\n\n3. **Determine who ran farther:**\n - Blake ran $3000$ yards.\n - Kelly ran $2720$ yards.\n - The difference in the distance they ran is $3000 - 2720 = 280$ yards.\n\nTherefore, the winner, Blake, ran $\\boxed{280}$ yards farther than the loser, Kelly.\n\n#### Alternate Approach (Using Distance per Minute):\n\n1. **Calculate Blake's distance per minute:**\n - Blake's total distance is 3000 yards in 15 minutes.\n - His distance per minute is $\\frac{3000}{15} = 200$ yards per minute.\n\n2. **Calculate Kelly's distance per minute:**\n - Kelly's total distance is 2720 yards in 15 minutes.\n - Her distance per minute is $\\frac{2720}{15} \\approx 181.33$ yards per minute.\n\n3. **Compare their running speeds:**\n - Blake's speed is significantly greater than Kelly's speed.\n - Therefore, Blake ran $\\boxed{280}$ yards farther than Kelly.\n\nThis confirms that Blake, who ran at a higher speed, indeed ran $\\boxed{280}$ yards farther than Kelly.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Raphael bought 4 pens at $1.5 each, so he spent 4 * $1.5 = $6 on pens.\nHe also bought 2 notebooks at $4 each, so he spent 2 * $4 = $8 on notebooks.\nLastly, he bought a rim of bond paper for $20.\n\nTo find the total amount Raphael spent, we add up all of his expenses: $6 (pens) + $8 (notebooks) + $20 (bond paper) = $34.\n\nTherefore, Raphael spent $\\boxed{\\$34}$ on everything.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Finn initially watches 11 tadpoles. \n\nAfter 6 tadpoles come out from hiding, the number increases to 11 + 6 = 17 tadpoles.\n\nThen, 2 tadpoles hide under a rock, so the number decreases to 17 - 2 = 15 tadpoles.\n\nTherefore, Finn can now see $\\boxed{15}$ tadpoles in the pond.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "On Tuesday, the tank had 7 feet more water than on Monday, so the depth of the water on Tuesday was 17 + 7 = 24 feet.\n\nOn Wednesday, the depth of the water is two thirds of what it was on Tuesday, so the depth on Wednesday is 2/3 * 24 = 16 feet. \n\nTherefore, the tank's water depth on Wednesday is $\\boxed{16}$ feet.The answer is: 16", "answer": {"result": 16.0}}, "matches": true} +{"solution": {"solution": "Anakin caught a total of 10 + 6 + 3 = 19 fish.\n\nLocsin caught 5 fewer starfish than Anakin, so Locsin caught 10 - 5 = 5 starfish.\nLocsin caught 3 fewer sea horses than Anakin, so Locsin caught 6 - 3 = 3 sea horses.\nLocsin caught 2 more clownfish than Anakin, so Locsin caught 3 + 2 = 5 clownfish.\n\nIn total, Locsin caught 5 + 3 + 5 = 13 fish.\n\nTogether, Anakin and Locsin caught 19 + 13 = $\\boxed{32}$ fish.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nAfter 36 months, there are 36/2 = 18 increments of 2 months.\n\nSince the price increases by 20% of the original price every two months, the price will increase by 20% * 18 = 360% of the original price.\n\nTo find the final price, we multiply the original price by 1 + the percentage increase (expressed as a decimal): $20 * (1 + 360/100) = $20 * 4.6 = $92.\n\nTherefore, a bag of marbles would cost $92 after 36 months.\n\nAnswer:\n\n$92\n\nAnswer:\n\n$92", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve the problem step by step, let's break down the information given and calculate the total worth of all toys in the room.\n\n1. **Determine the cost of one action figure:**\n - Given that an action figure costs $5.\n\n2. **Calculate the worth of the action figures:**\n - There are 3 action figures.\n - The total worth of the action figures is:\n \\[\n 3 \\times 5 = 15 \\text{ dollars}\n \\]\n\n3. **Determine the cost of the doll:**\n - The doll costs as much as 3 action figures.\n - Given the cost of one action figure is $5, the cost of the doll is:\n \\[\n 3 \\times 5 = 15 \\text{ dollars}\n \\]\n\n4. **Calculate the worth of the red cars:**\n - There are 5 red cars.\n - Given that one red car costs $4, the total worth of the red cars is:\n \\[\n 5 \\times 4 = 20 \\text{ dollars}\n \\]\n\n5. **Sum the total worth of all toys:**\n - The total worth of the toys is the sum of the worth of action figures, the doll, and the red cars.\n - Therefore,\n \\[\n 15 + 15 + 20 = 50 \\text{ dollars}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{50}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Jackie does the taxes herself, she'll be able to do 3 fewer hours of freelance work. Since she loses $35/hour in missed income, the total income she loses by doing the taxes herself is 3 * $35 = $105. \n\nIf she hires the accountant, she'll have to pay $90.\n\nTo determine how much more money she'll have by hiring the accountant, we subtract the cost of hiring the accountant from the income she would lose by doing the taxes herself:\n\n$105 (lost income) - $90 (accountant's charge) = $15.\n\nTherefore, by hiring the accountant, Jackie will have $\\boxed{\\$15}$ more money.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Determine the total cost of the computer and accessories:**\n\n Elvira's budget is \u20ac1500. The cost of the computer is \u20ac1090, and she wants to buy the following accessories:\n\n - Scanner: \u20ac157\n - CD burner: \u20ac74\n - Printer: \u20ac102\n\n Add these costs together:\n\n \\[\n \\text{Total cost of accessories} = 157 + 74 + 102 = 333\n \\]\n\n2. **Calculate the total cost including the computer and accessories:**\n\n Sum the cost of the computer and the accessories:\n\n \\[\n \\text{Total cost} = 1090 + 333 = 1423\n \\]\n\n3. **Determine the remaining budget for clothing:**\n\n Subtract the total cost from her initial budget:\n\n \\[\n \\text{Remaining budget} = 1500 - 1423 = 77\n \\]\n\n**Conclusion:**\n\nThe amount remaining for clothing is:\n\n\\[\n\\boxed{77}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how many times Sandra needs to babysit, we first determine the total number of eggs required for making 15 Spanish flans. Since each flan requires 3 eggs, the total number of eggs needed is:\n\n\\[3 \\text{ eggs/flan} \\times 15 \\text{ flans} = 45 \\text{ eggs}\\]\n\nGiven that Sandra's neighbor provides 9 eggs each time she babysits, the number of babysitting sessions needed to collect 45 eggs is calculated by dividing the total number of eggs required by the number of eggs received per session:\n\n\\[45 \\text{ eggs} / 9 \\text{ eggs/session} = 5 \\text{ sessions}\\]\n\nTherefore, Sandra needs to babysit \\(\\boxed{5}\\) times to collect enough eggs for her school fundraiser.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote Brooke's current age as B. According to the information given, Seth is twice as old as Brooke, so Seth's current age is 2B. \n\nIn 2 years, Brooke's age will be B + 2, and Seth's age will be 2B + 2.\n\nThe sum of their ages in 2 years will be (B + 2) + (2B + 2) = 28.\n\nCombining like terms, we get 3B + 4 = 28.\n\nSubtracting 4 from both sides, we have 3B = 24.\n\nDividing both sides by 3, we find B = 8.\n\nSince Seth is twice as old as Brooke, Seth's current age is 2 * 8 = 16.\n\nTherefore, Seth is currently 16 years old.\n\n#### 16\nThe answer is: 16", "answer": {"result": 16.0}}, "matches": true} +{"solution": {"solution": "Twice the money Ethel has is 2 * $8 = $16. \n\nJimmy has $2 more than twice the money Ethel has, so Jimmy has $16 + $2 = $18.\n\nTherefore, Jimmy is having $\\boxed{\\$18}$ .The answer is: 18", "answer": {"result": 18.0}}, "matches": true} +{"solution": {"solution": "Pancho walks 20 miles a day from Monday to Friday, so that's 5 days * 20 miles/day = 100 miles.\n\nOn weekends, he walks 10 miles a day, so that's 2 days * 10 miles/day = 20 miles.\n\nAdding both amounts together, Pancho walks 100 miles + 20 miles = 120 miles in a week. \n\nTherefore, Pancho walks $\\boxed{120}$ miles in a week.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's find the cost of the jacket. Since it costs three times as much as the hat, we calculate:\n\nCost of jacket = 3 * Cost of hat\nCost of jacket = 3 * $25\nCost of jacket = $75\n\nNext, we find the cost of the pants, which is the average of the hat and jacket costs:\n\nCost of pants = (Cost of hat + Cost of jacket) / 2\nCost of pants = ($25 + $75) / 2\nCost of pants = $100 / 2\nCost of pants = $50\n\nNow, we add up the costs of the hat, jacket, and pants to find the total cost of each uniform:\n\nTotal cost of uniform = Cost of hat + Cost of jacket + Cost of pants\nTotal cost of uniform = $25 + $75 + $50\nTotal cost of uniform = $150\n\nThe total cost for each uniform is $\\$150$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nTo find the total number of legs, we need to multiply the number of each type of creature by the number of legs they have and then add all the results together.\n\nFor the spiders: 80 spiders x 8 legs = 640 legs\nFor the insects: 90 insects x 6 legs = 540 legs\nFor the mutant invertebrates: 3 mutant invertebrates x 10 legs = 30 legs\n\nNow, we add the total number of legs from each group:\n\n640 legs (spiders) + 540 legs (insects) + 30 legs (mutant invertebrates) = 1210 legs\n\nJake sees a total of 1210 legs.\n\nAnswer: \\boxed{1210}", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Sally Four is the same age as Sally Thirtytwo, and Sally Thirtytwo is 8 years old, then Sally Four is also 8 years old. \n\nGranny Red is two times as old as Sally Four, so Granny Red is 2 * 8 = 16 years old.\n\nSally Two is three years older than Granny Red, so Sally Two is 16 + 3 = 19 years old.\n\nThe total age of the four birds is Sally Four + Sally Thirtytwo + Granny Red + Sally Two = 8 + 8 + 16 + 19 = 51 years. \n\n#### 51\nThe answer is: 51", "answer": {"result": 51.0}}, "matches": true} +{"solution": {"solution": "First, let's calculate the monthly payment for each debt if Jessica wants to pay 50% more than the minimum:\n\n- Student loans: $300 + ($300 * 50%) = $300 + $150 = $450\n- Credit card: $200 + ($200 * 50%) = $200 + $100 = $300\n- Mortgage: $500 + ($500 * 50%) = $500 + $250 = $750\n\nNow, let's add up these monthly payments to find the total monthly payment:\n\nTotal monthly payment = $450 + $300 + $750 = $1500\n\nTo find out how much Jessica pays in a year, we multiply the total monthly payment by 12 (the number of months in a year):\n\nAnnual payment = $1500 * 12 = $18,000\n\nJessica pays $\\boxed{\\$18,000}$ in a year on her debts if she wants to pay 50% more than the minimum each month.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the total time Billy will spend prepping the potatoes, we need to calculate the time spent peeling and the time spent cutting.\n\n1. Calculate the time spent peeling:\n - Billy takes 1.5 minutes to peel one potato.\n - He has 60 potatoes to peel.\n - Total time spent peeling = 1.5 minutes/potato * 60 potatoes = 90 minutes.\n\n2. Calculate the time spent cutting:\n - Billy takes 5 seconds to cut one potato.\n - He has 60 potatoes to cut.\n - Total time spent cutting = 5 seconds/potato * 60 potatoes = 300 seconds.\n\n3. Convert the cutting time from seconds to minutes:\n - There are 60 seconds in a minute.\n - Total time spent cutting in minutes = 300 seconds / 60 = 5 minutes.\n\n4. Add the peeling and cutting times to find the total time:\n - Total time = Time spent peeling + Time spent cutting\n - Total time = 90 minutes + 5 minutes = 95 minutes.\n\nBilly will take 95 minutes to finish prepping the potatoes.\n\nAnswer:\n\n$\\boxed{95}$ minutes", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nLet's calculate the total cost of making one gallon of lemonade. The cost of lemons for one gallon is $3, and the cost of sugar for one gallon is $2. Therefore, the total cost for one gallon is $3 + $2 = $5.\n\nNext, let's calculate how many glasses they can sell from one gallon. They can get 20 glasses per gallon.\n\nNow, let's calculate the total revenue from selling one gallon of lemonade. Each glass is sold for $0.50, so for 20 glasses, they would earn 20 * $0.50 = $10.\n\nTo find out how many gallons they made, we divide the total profit by the profit per gallon. The profit per gallon is the revenue per gallon minus the cost per gallon, which is $10 - $5 = $5.\n\nSo, they made $25 in profit, and each gallon yields a profit of $5. Therefore, they made 25/5 = 5 gallons of lemonade.\n\nFinally, to find out how much they spent on lemons, we multiply the number of gallons by the cost of lemons per gallon. They spent 5 * $3 = $<<5*3=15>>15 on lemons.\n\nAnswer: \\boxed{15}", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's break down the solution step-by-step:\n\n1. **Calculate the total number of Asians not Japanese:**\n - Given: 240 Asians, 80 of whom are Japanese.\n - Therefore, the number of Asians who are not Japanese is:\n \\[\n 240 - 80 = 160\n \\]\n2. **Determine the number of Chinese team members:**\n - Since all non-Japanese Asians are Chinese, the number of Chinese team members is 160.\n3. **Identify the number of boys on the Chinese team:**\n - Given: 60 Chinese boys.\n4. **Calculate the number of Chinese girls:**\n - To find the number of Chinese girls, subtract the number of boys from the total number of Chinese team members:\n \\[\n 160 - 60 = 100\n \\]\n\n### Conclusion:\nThe number of girls on the Chinese team is\n\\[\n\\boxed{100}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Zaid spends 1/4 of his salary on rent, so he spends 1/4 * 6000 = 1500$ on rent.\n\nHe spends 1/3 of his salary on car fuel, so he spends 1/3 * 6000 = 2000$ on car fuel.\n\nThe total amount spent on rent and car fuel is 1500 + 2000 = 3500$.\n\nThe remaining amount after these expenses is 6000 - 3500 = 2500$.\n\nZaid donates half of the remaining amount to his favorite charity, so he donates 1/2 * 2500 = 1250$.\n\nAfter the donation, he has 2500 - 1250 = 1250$ remaining.\n\nZaid gives his daughter 200$ for weekly expenses, so he has 1250 - 200 = 1050$ remaining.\n\nHe also gives his wife 700$ for groceries and household goods, so he has 1050 - 700 = 350$ remaining.\n\nZaid will still have 350$ after all these expenses and donations.\n\n#### 350\nThe answer is: 350", "answer": {"result": 350.0}}, "matches": true} +{"solution": {"solution": "If Bo has 40 crabs, and Monic has 4 fewer crabs than Bo, then Monic has 40 - 4 = 36 crabs. \n\nSince Rani has ten more crabs than Monic, Rani has 36 + 10 = 46 crabs. \n\nTo find the total number of crabs the three have together, we add Bo's crabs, Monic's crabs, and Rani's crabs: 40 (Bo) + 36 (Monic) + 46 (Rani) = 122 crabs. \n\nTherefore, the total number of crabs the three have together is $\\boxed{122}$ .The answer is: 122", "answer": {"result": 122.0}}, "matches": true} +{"solution": {"solution": "Lloyd earns $10 an hour for Math tutoring. \n\nFor the first week, he tutored 5 hours, so he earned 5 * $10 = $50. \n\nFor the second week, he tutored 8 hours, so he earned 8 * $10 = $80. \n\nTo find out how much he earned for the first two weeks, we add the earnings from each week: $50 + $80 = $130. \n\nTherefore, Lloyd earned $130 for the first two weeks. \n\nThe answer is: 130", "answer": {"result": 130.0}}, "matches": true} +{"solution": {"solution": "If the winner got 3/4 of the votes, then the loser got the remaining 1/4 of the votes. \n\nTo find out how many votes the loser got, we calculate 1/4 of the total number of votes:\n\n1/4 * 80 = 20\n\nSo, the loser received $\\boxed{20}$ votes.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote the number of white carnations Sandra ordered as \\( C \\).\n\nAccording to the given information:\n\n1. Sandra ordered four times as many red roses as white carnations, so the number of red roses is \\( 4C \\).\n2. She also ordered 200 pink calla lilies, which were five times the number of white carnations, so \\( 200 = 5C \\).\n\nFrom the second piece of information, we can solve for \\( C \\):\n\n\\[ C = \\frac{200}{5} = 40 \\]\n\nNow that we know the number of white carnations, we can find out how many red roses Sandra ordered:\n\n\\[ 4C = 4 \\times 40 = 160 \\]\n\nFred must deliver 160 red roses by 5 pm to fulfill Sandra's order and avoid losing her business.\n\nTherefore, the number of red roses Fred must deliver is \\( 160 \\).\n\nAnswer:\n\\[\n\\boxed{160}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Two years ago, Mark was 5 years older than half of Jan's age at that time. \nSince Jan is currently 30, half of Jan's age two years ago would be 30 - 2 = 28. \nTherefore, two years ago, Mark was 28 + 5 = 33 years old. \nSince two years have passed since then, Mark is currently 33 + 2 = 35 years old. \nJean is two years older than Mark, so Jean is 35 + 2 = 37 years old. \n#### 37\nThe answer is: 37", "answer": {"result": 37.0}}, "matches": false} +{"solution": {"solution": "The first team's total time for the race is $4 \\times 55 = 220$ seconds.\n\nFor the second team, the first runner takes 60 seconds, so the remaining time for the other three runners is $220 - 60 = 160$ seconds.\n\nThe second, third, and fourth runners of the second team will take 57, 54, and 51 seconds respectively.\n\nThe total time for the second team is:\n\\[ 60 + 57 + 54 + 51 = 222 \\text{ seconds} \\]\n\nSubtracting the first team's time from the second team's time gives the margin by which the first team wins:\n\\[ 222 - 220 = 2 \\text{ seconds} \\]\n\nThus, the faster team wins by $\\boxed{2}$ seconds.The answer is: 2", "answer": {"result": 2.0}}, "matches": true} +{"solution": {"solution": "1. **Calculate the probability of rolling a number greater than 3:**\n\n A six-sided die has numbers 1 through 6. The numbers greater than 3 are 4, 5, and 6. Thus, there are 3 favorable outcomes.\n - Probability of rolling a number greater than 3:\n \\[\n P(\\text{greater than 3}) = \\frac{\\text{number of favorable outcomes}}{\\text{total outcomes}} = \\frac{3}{6} = \\frac{1}{2}\n \\]\n\n2. **Calculate the probability of rolling two even numbers in a row:**\n\n Even numbers on a six-sided die are 2, 4, and 6. Thus, there are 3 favorable outcomes for each roll.\n - Probability of rolling an even number on the first roll:\n \\[\n P(\\text{even}) = \\frac{3}{6} = \\frac{1}{2}\n \\]\n - Since the events are independent, the probability of rolling two even numbers in a row is the product of the probabilities of each event:\n \\[\n P(\\text{two even numbers}) = P(\\text{even}) \\times P(\\text{even}) = \\left(\\frac{1}{2}\\right) \\times \\left(\\frac{1}{2}\\right) = \\frac{1}{4}\n \\]\n\n3. **Calculate the difference in probabilities:**\n\n We need to find how much more likely it is to roll a number greater than 3 compared to rolling two even numbers in a row.\n \\[\n \\text{Difference} = P(\\text{greater than 3}) - P(\\text{two even numbers}) = \\frac{1}{2} - \\frac{1}{4}\n \\]\n Convert the fractions to have a common denominator:\n \\[\n \\frac{1}{2} = \\frac{2}{4}\n \\]\n Therefore:\n \\[\n \\frac{2}{4} - \\frac{1}{4} = \\frac{1}{4}\n \\]\n\n4. **Convert the difference to a percentage:**\n\n To express the difference as a percentage, multiply by 100:\n \\[\n \\text{Percentage difference} = \\left(\\frac{1}{4}\\right) \\times 100 = 25\\%\n \\]\n\n### Conclusion:\n\\[\n\\boxed{25\\%}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Jenna's mom picked 20 apples and Jenna picked half as many, Jenna picked 20 / 2 = 10 apples. \n\nTogether, they picked 20 (mom's apples) + 10 (Jenna's apples) = $\\boxed{30}$ apples.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote the number of rats in each cage as R. \n\nThe total number of rats is 3R (since rats are kept in cages in equal groups). Each rat gets 6 pieces of straw, so the total straw given to rats is 6 * 3R = 18R.\n\nThe hamsters are kept alone, and there are 10 cages of hamsters. Each hamster gets 5 pieces of straw, so the total straw given to hamsters is 5 * 10 = 50.\n\nThe rabbits are given 20 pieces of straw in total.\n\nThe total straw distributed among the small rodents is 160 pieces. Therefore, we have the equation:\n\n18R (straw for rats) + 50 (straw for hamsters) + 20 (straw for rabbits) = 160\n\nCombining the constant terms (straw for hamsters and rabbits), we get:\n\n18R + (50 + 20) = 160\n18R + 70 = 160\n\nNow, subtract 70 from both sides to isolate the term with R:\n\n18R = 160 - 70\n18R = 90\n\nFinally, divide both sides by 18 to solve for R:\n\nR = 90 / 18\nR = 5\n\nSo, there are $\\boxed{5}$ rats in each cage.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the total amount Mandy owes Benedict after 3 months, we need to first determine the amount of interest accrued each month and then add it to the original debt. \n\nGiven:\n- Original debt: $100\n- Interest rate: 2% per month\n- Payment period: 3 months\n\nThe formula to calculate the amount of interest accrued over a period of time is:\n\\[ \\text{Interest} = \\text{Principal} \\times \\text{Rate} \\times \\text{Time} \\]\n\nFor the first month:\n\\[ \\text{Interest}_{1} = \\$100 \\times \\frac{2}{100} \\times 1 = \\$2 \\]\n\nFor the second month:\n\\[ \\text{Interest}_{2} = \\$100 \\times \\frac{2}{100} \\times 1 = \\$2 \\]\n\nFor the third month:\n\\[ \\text{Interest}_{3} = \\$100 \\times \\frac{2}{100} \\times 1 = \\$2 \\]\n\nAdding all the interests together:\n\\[ \\text{Total Interest} = \\$2 + \\$2 + \\$2 = \\$6 \\]\n\nAdding the total interest to the original debt to find the final amount Mandy owes:\n\\[ \\text{Total Owed} = \\$100 + \\$6 = \\$106 \\]\n\nTherefore, Mandy should give Benedict $\\boxed{\\$106}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nLet's denote the number of bags the trader bought from the farmer as $x$. The cost per bag from the farmer is $20, and the transportation cost per bag is $2. The total cost per bag for the trader is therefore $20 + 2 = 22$. \n\nThe selling price per bag is $30. The profit per bag is the selling price minus the total cost per bag, which is $30 - 22 = 8$.\n\nThe total profit made by the trader is $400, and this profit is made from selling each bag at a profit of $8. To find the number of bags sold, we divide the total profit by the profit per bag:\n\n\\[\n\\frac{400}{8} = 50\n\\]\n\nTherefore, the trader sold $\\boxed{50}$ bags.\n\nAnswer: 50", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total cost of the tickets and the rides. \n\nThe cost of the 3 tickets is $20.25. \n\nThe cost of the 2 rides is $33 each, so for both rides, it's $33 x 2 = $66.\n\nNow, let's add the cost of the tickets and the rides to find the total cost before food:\n$20.25 (tickets) + $66 (rides) = $86.25.\n\nNext, let's find out how much they spent on food. They spent $4.50 less on food than on the tickets, so:\n$20.25 (tickets) - $4.50 = $15.75 (food).\n\nNow, let's add the cost of the food to the total cost before food to find the grand total:\n$86.25 (tickets and rides) + $15.75 (food) = $102.\n\nFinally, to find out how much each friend paid, we divide the total cost by the number of friends:\n$102 / 3 friends = $34.\n\nEach friend paid $\\boxed{\\$34}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nJohn collects peaches for 3 hours, which is equivalent to 3 x 60 = 180 minutes.\nHe can collect 2 peaches per minute, so in total, he collects 180 x 2 = 360 peaches.\nTherefore, John collects 360 peaches.\n#### 360\nThe answer is: 360", "answer": {"result": 360.0}}, "matches": true} +{"solution": {"solution": "To find the daily insect requirement for a flock of ten ducks, we start by calculating the total weekly insect requirement for the flock. Each duck needs 3.5 pounds of insects per week. Therefore, for ten ducks, the total weekly requirement is calculated as follows:\n\n\\[ \\text{Total weekly requirement} = 3.5 \\, \\text{pounds/duck/week} \\times 10 \\, \\text{ducks} \\]\n\n\\[ = 35 \\, \\text{pounds/week} \\]\n\nNext, to find the daily insect requirement, we divide the weekly requirement by the number of days in a week, which is seven:\n\n\\[ \\text{Daily requirement} = \\frac{35 \\, \\text{pounds/week}}{7 \\, \\text{days/week}} \\]\n\n\\[ = 5 \\, \\text{pounds/day} \\]\n\nTherefore, the flock of ten ducks needs a total of $\\boxed{5}$ pounds of insects per day.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Tom plants 10 trees a year for 10 years, so he plants a total of 10 x 10 = 100 trees.\nTom chops down 2 trees a year for 10 years, so he chops down a total of 2 x 10 = 20 trees.\nStarting with 50 trees, Tom plants 100 trees and chops down 20 trees, so he has 50 + 100 - 20 = 130 trees.\nAfter 10 years, 30% of the trees die, so 30% of 130 trees is 0.30 x 130 = 39 trees.\nTherefore, Tom has 130 - 39 = 91 trees left.\n#### 91\nThe answer is: 91", "answer": {"result": 91.0}}, "matches": true} +{"solution": {"solution": "On Friday morning, the neighbors placed 18 pink plastic flamingos in Sue's front yard.\nOn Saturday morning, they took back one third of the flamingos, which is 18 / 3 = 6 flamingos.\nSo, they painted 6 pink flamingos white and put them back in Sue's front yard.\nOn Sunday morning, they added another 18 pink plastic flamingos to the collection.\nSo, at noon on Sunday, Sue has 18 + 18 = 36 pink flamingos in her front yard.\nShe also has 6 white flamingos from the ones that were painted.\nTherefore, there are 36 - 6 = 30 more pink flamingos than white flamingos.\n#### 30\nThe answer is: 30", "answer": {"result": 30.0}}, "matches": false} +{"solution": {"solution": "Violetta needs crayons in 5 different colors, so she will need to buy 5 crayons. \n\nThe cost of one crayon is $2, so the total cost for 5 crayons will be 5 * $2 = $10.\n\nVioletta prepared $20 for this purchase, so the amount of change she will get is $20 - $10 = $10. \n\nVioletta will get $10 in change. \n\n#### 10\nThe answer is: 10", "answer": {"result": 10.0}}, "matches": true} +{"solution": {"solution": "A pencil costs $1.20 and an eraser costs $0.30. \nSo, the cost of a pen is $1.20 + $0.30 = $1.50. \nTo find the cost of 8 pens, we multiply the cost of one pen by 8. \nTherefore, 8 pens will cost $1.50 x 8 = $12. \n#### 12\nThe answer is: 12", "answer": {"result": 12.0}}, "matches": true} +{"solution": {"solution": "200 pounds of carrots are to be distributed among 40 restaurants, with each restaurant receiving 2 pounds of carrots. \n\n1. Calculate the total amount of carrots distributed:\n \\[\n 40 \\text{ restaurants} \\times 2 \\text{ pounds/restaurant} = 80 \\text{ pounds}\n \\]\n\n2. Subtract the total distributed amount from the total available carrots to find the unusable amount:\n \\[\n 200 \\text{ pounds} - 80 \\text{ pounds} = 120 \\text{ pounds}\n \\]\n\n3. Thus, the number of pounds of carrots that will not be used is:\n \\[\n \\boxed{120}\n \\]\n\nConclusion:\nThe calculation shows that 120 pounds of carrots will not be used after distributing 2 pounds to each of the 40 restaurants.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Determine the total number of adults:**\n\n Given the total population of the city, \\(23786\\), the number of men is \\(8417\\), and the number of women is \\(9092\\). \n \n Calculate the number of adults:\n \\[\n \\text{Number of adults} = \\text{Number of men} + \\text{Number of women} = 8417 + 9092 = 17509\n \\]\n\n2. **Determine the number of children:**\n\n Subtract the number of adults from the total population to find the number of children:\n \\[\n \\text{Number of children} = \\text{Total population} - \\text{Number of adults} = 23786 - 17509\n \\]\n\n3. **Perform the subtraction:**\n \\[\n 23786 - 17509 = 6277\n \\]\n\nConclusively, the number of children in the city of Soda is:\n\\[\n\\boxed{6277}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, we'll break down the collection of Pokemon cards month by month and then calculate the total number of cards Elaine has at the end of these three months.\n\n1. **First Month:**\n Elaine initially had 20 Pokemon cards. After a month, she collected three times that number. \n - Calculation: $20 \\times 3 = 60$ cards.\n - Total after the first month: $20 + 60 = 80$ cards.\n\n2. **Second Month:**\n In the second month, she collected 20 fewer cards than those she collected in the first month.\n - Calculation: $60 - 20 = 40$ cards.\n - Total after the second month: $80 + 40 = 120$ cards.\n\n3. **Third Month:**\n In the third month, she collected twice the combined number of Pokemon cards she collected in the first and second months.\n - Calculation: $2 \\times (60 + 40) = 2 \\times 100 = 200$ cards.\n - Total after the third month: $120 + 200 = 320$ cards.\n\nTherefore, the total number of Pokemon cards Elaine has now is $\\boxed{320}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Mark edits an equal number of sentences for both publishers, so he edits 1000/2 = 500 sentences for each publisher.\nPublisher A pays Mark 5 cents per sentence, so he earns 500 * 5 = 2500 cents from Publisher A.\nPublisher B pays Mark twice what Publisher A pays, so he earns 2 * 5 = 10 cents per sentence from Publisher B.\nTherefore, Mark earns 500 * 10 = 5000 cents from Publisher B.\nIn total, Mark makes 2500 + 5000 = 7500 cents in a week.\n#### 7500\nThe answer is: 7500", "answer": {"result": 7500.0}}, "matches": true} +{"solution": {"solution": "Baldur gets 5 pails of water every morning and 6 pails of water every afternoon. \nSo, he gets a total of 5 + 6 = 11 pails of water every day.\n\nEach pail contains 5 liters of water, so 11 pails contain 11 * 5 = 55 liters of water.\n\nTherefore, Baldur gets 55 liters of water every day.\n\n#### 55\nThe answer is: 55", "answer": {"result": 55.0}}, "matches": true} +{"solution": {"solution": "John's weekly salary is $2000. \n\nThe 5% raise in salary means his new salary will be $2000 + (5/100) * $2000 = $2000 + $100 = $2100. \n\nThere are 52 weeks in a year. \n\nSo, his annual salary would be $2100 * 52 = $109,200. \n\nIn addition to his salary, he receives a one-time monetary reward of $5000. \n\nTherefore, his total income for the year would be $109,200 (salary) + $5000 (award) = $114,200. \n\nJohn made $\\boxed{\\$114,200}$ that year.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Josie has 10 acres of land used for growing grapes. \n\nEach acre yields 5 tons of grapes annually. \n\nSo, the total yield of grapes from all 10 acres is:\n\\[ 10 \\text{ acres} \\times 5 \\text{ tons per acre} = 50 \\text{ tons} \\]\n\nEach ton of grapes can be converted into 2 barrels of wine. \n\nTherefore, the total number of barrels of wine produced from the 50 tons of grapes is:\n\\[ 50 \\text{ tons} \\times 2 \\text{ barrels per ton} = 100 \\text{ barrels} \\]\n\nThus, Josie's farm produces $\\boxed{100}$ barrels of wine per year.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Carl ate a sandwich every day for lunch and used 2 slices of cheese on each sandwich. Since there are 7 days in a week, he used 2 slices of cheese * 7 days = 14 slices of cheese for sandwiches.\n\nHe ate cheese and egg omelets for breakfast 3 days in the week and used one more slice per omelet than he did per sandwich. So, he used 2 slices + 1 slice = 3 slices of cheese for each omelet. Therefore, for the 3 omelets, he used 3 slices of cheese * 3 days = 9 slices of cheese.\n\nHe also made a big dish of macaroni and cheese, using 8 slices of cheese for that.\n\nAdding up all the slices of cheese used for sandwiches, omelets, and macaroni and cheese, Carl used 14 slices (sandwiches) + 9 slices (omelets) + 8 slices (macaroni and cheese) = $\\boxed{31}$ slices of cheese in total.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Janet had 22 green pens and 10 yellow pens, which totals 22 + 10 = 32 pens. \n\nShe bought 6 bags of blue pens with 9 pens in each bag, so she got 6 * 9 = 54 blue pens. \n\nShe also bought 2 bags of red pens with 6 pens in each bag, so she got 2 * 6 = 12 red pens. \n\nIn total, Janet bought 54 blue pens + 12 red pens = 66 new pens. \n\nNow, if we add the new pens to the ones she already had, Janet has 32 original pens + 66 new pens = $\\boxed{98}$ pens in total.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, calculate the total sum of the scores Brinley has so far:\n\\[ 89 + 71 + 92 + 100 + 86 = 438 \\]\n\nBrinley wants to achieve an average of 93 over six tests. Therefore, the total score she needs to achieve is:\n\\[ 93 \\times 6 = 558 \\]\n\nThe score Brinley needs on the sixth test to meet this goal, after removing the lowest score, is:\n\\[ 558 - 438 = 120 \\]\n\nThe lowest score dropped is 71, so Brinley must score 120 on the sixth test to achieve an average of 93 after dropping her lowest score.\n\n\\[\n\\boxed{120}\n\\]\n\nConclusion:\nBrinley must score 120 on her sixth test to maintain an average of 93 over the six tests, considering the removal of her lowest score of 71.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nMichael rode his bike for four weeks, riding it 5 times a week and covering 25 kilometers each time.\n\nIn one week, he rode 5 * 25 = 125 kilometers.\n\nIn four weeks, he rode 125 * 4 = 500 kilometers.\n\nThen, for the next three weeks, he rode his bike only 2 times a week, but for 60 kilometers each time.\n\nIn one week, he rode 2 * 60 = 120 kilometers.\n\nIn three weeks, he rode 120 * 3 = 360 kilometers.\n\nIn total, Michael rode 500 + 360 = 860 kilometers.\n\n#### 860\nThe answer is: 860", "answer": {"result": 860.0}}, "matches": true} +{"solution": {"solution": "\n\nEach chocolate bar weighs 40g, so the total weight of the chocolate bars is 25 * 40 = 1000g.\n\nEach candied apple weighs half as much as a chocolate bar, so each candied apple weighs 40/2 = 20g.\n\nThe total weight of the candied apples is 80 * 20 = 1600g.\n\nTherefore, the total weight of Joe's bag of candy is 1000g + 1600g = 2600g.\n\n#### 2600\nThe answer is: 2600", "answer": {"result": 2600.0}}, "matches": true} +{"solution": {"solution": "Rose bought 4 cakes on Monday.\nOn Tuesday, she bought three times that number, so she bought 4 x 3 = 12 cakes.\nOn Wednesday, she bought 5 times the number of cakes she did on Tuesday, so she bought 12 x 5 = 60 cakes.\nIn total, Rose bought 4 + 12 + 60 = 76 cakes after all three days.\n#### 76\nThe answer is: 76", "answer": {"result": 76.0}}, "matches": true} +{"solution": {"solution": "\nFirst, let's find the cost of half a dozen plates. Since half a dozen equals 3 plates, and each plate costs $6000, the total cost for 3 plates is:\n\n\\[3 \\times \\$6000 = \\$18000\\]\n\nNow, we know that 20 dozen cups cost $1200 less than this amount. To find the total cost of 20 dozen cups, we subtract $1200 from $18000:\n\n\\[\\$18000 - \\$1200 = \\$16800\\]\n\n20 dozen cups means there are \\(20 \\times 12 = 240\\) cups in total. To find the cost of one cup, we divide the total cost by the number of cups:\n\n\\[\\frac{\\$16800}{240} = \\$70\\]\n\nSo, the total cost of buying each cup is \\(\\boxed{\\$70}\\).\n\nAnswer: $70 ", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The total cost of the jacket and shoes is $30 + 2 * $20 = $70.\n\nSara earns $5 for each babysitting session and $4 for each lawn mowing session.\n\nShe already has $10 saved, so she needs to earn an additional $70 - $10 = $60.\n\nEach babysitting session earns her $5, so she needs to babysit 60 / 5 = 12 times.\n\nEach lawn mowing session earns her $4, so she needs to mow the lawn 60 / 4 = 15 times.\n\nSince she can choose to do either, she only needs to do the one that requires fewer times. Therefore, Sara needs to mow the lawn 15 times.\n\nAnswer: Sara needs to mow the lawn 15 times before she can afford the jacket and shoes.\n\nThe final answer is 15 times.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nLet's denote the number of red chickens as R and the number of white chickens as W. We are given that Jerry has two more white chickens than red chickens, so we can write:\n\nW = R + 2\n\nWe are also given that red chickens produce 3 eggs a day and white chickens produce 5 eggs a day. Jerry collects 42 eggs every day. The total number of eggs collected from red chickens and white chickens is:\n\n3R (eggs from red chickens) + 5W (eggs from white chickens) = 42\n\nSince W = R + 2, we can substitute W in the equation:\n\n3R + 5(R + 2) = 42\n\nNow, let's distribute the 5:\n\n3R + 5R + 10 = 42\n\nCombine like terms:\n\n8R + 10 = 42\n\nSubtract 10 from both sides:\n\n8R = 32\n\nDivide both sides by 8:\n\nR = 4\n\nTherefore, Jerry has 4 red chickens.\n\nAnswer:\n\n4", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, calculate the perimeter of the rectangle:\n\\[ \\text{Perimeter} = 2 \\times (\\text{length} + \\text{width}) = 2 \\times (1.5 \\text{ miles} + 6 \\text{ miles}) = 2 \\times 7.5 \\text{ miles} = 15 \\text{ miles} \\]\n\nNext, use the formula for time, which is distance divided by rate:\n\\[ \\text{Time} = \\frac{\\text{Distance}}{\\text{Rate}} = \\frac{15 \\text{ miles}}{3 \\text{ miles/hour}} = 5 \\text{ hours} \\]\n\nThus, Gary spends $\\boxed{5}$ hours walking around the park.The answer is: 5", "answer": {"result": 5.0}}, "matches": true} +{"solution": {"solution": "On the second day, Sloane counted 100 + 50 = 150 customers.\n\nOn the third day, the total number of customers was 500.\n\nTo find out how many customers she counted on the third day, we subtract the total number of customers from the first and second days from the total number of customers on the third day.\n\nSo, 500 (third day total) - 100 (first day) - 150 (second day) = 250 customers.\n\nTherefore, Sloane counted 250 customers on the third day.\n\n#### 250\nThe answer is: 250", "answer": {"result": 250.0}}, "matches": true} +{"solution": {"solution": "\nLet's assume the small pool currently has x gallons of water.\n\n4 minutes ago, the big pool had twice as much water as the small pool, so the big pool had 2x gallons of water.\n\nIn the last 4 minutes, both pools have leaked out 4 gallons/minute, so the big pool has lost 4 * 4 = 16 gallons of water, and the small pool has lost 4 * 4 = 16 gallons of water.\n\nNow, the big pool has four times as much water as the small pool, so the big pool has 4x gallons of water.\n\nWe can set up an equation to represent the current state of the pools:\n\n16 + 2x = 4x\n\nSimplifying the equation:\n\n2x = 16\n\nDividing both sides by 2:\n\nx = 8\n\nTherefore, the small pool currently has 8 gallons of water.\n\n#### 8\nThe answer is: 8", "answer": {"result": 8.0}}, "matches": true} +{"solution": {"solution": "To find out how many hours Lori needs to work to earn enough money for the shoes and belt, we first calculate the total cost of her desired purchase:\n\n- The cost of the shoes is $320.00.\n- The cost of the matching belt is $32.00.\n\nAdding these costs together gives us the total amount she needs to earn:\n\n\\[320.00 + 32.00 = 352.00\\]\n\nNext, we determine how many hours Lori needs to work to earn $352.00 at her part-time job, where she earns $8.00 per hour:\n\n\\[352.00 / 8.00 = 44\\]\n\nTherefore, Lori needs to work $44$ hours to earn enough money for the shoes and belt.\n\nSo, the final answer is $\\boxed{44}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nJaneth borrowed $2000, and she promised to return the amount plus an additional 10% of $2000. \n\n10% of $2000 is calculated as follows:\n$2000 \\times 0.10 = $200\n\nSo, Janeth needs to return $2000 + $200 = $2200 in total.\n\nJaneth will pay $165 a month for 12 months, which is a total of $165 \\times 12 = $1980.\n\nTo find the remaining balance, we subtract the total amount paid from the total amount owed:\n$2200 - $1980 = $220\n\nJaneth's remaining balance after 12 months of payments will be $\\boxed{\\$220}$ .\n\nAnswer: 220", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "There are 4 roses in the vase. \n\nThere are 7 more dahlias than roses, so there are 4 + 7 = 11 dahlias in the vase. \n\nIn total, there are 4 roses + 11 dahlias = $\\boxed{15}$ flowers in the vase.The answer is: 15", "answer": {"result": 15.0}}, "matches": true} +{"solution": {"solution": "1. **Determine Adrian's Age:**\n Given that Harriet is 21 years old now and Adrian's age is three times Harriet's age, we calculate Adrian's current age as follows:\n \\[\n \\text{Adrian's age} = 3 \\times \\text{Harriet's age} = 3 \\times 21 = 63 \\text{ years}\n \\]\n\n2. **Determine Zack's Age:**\n Harriet is half the age of Zack. Hence, we find Zack's current age:\n \\[\n \\text{Zack's age} = 2 \\times \\text{Harriet's age} = 2 \\times 21 = 42 \\text{ years}\n \\]\n\n3. **Calculate the Age of Each in 3 Years:**\n Adding 3 years to each person's current age:\n \\[\n \\text{Adrian's age in 3 years} = 63 + 3 = 66 \\text{ years}\n \\]\n \\[\n \\text{Harriet's age in 3 years} = 21 + 3 = 24 \\text{ years}\n \\]\n \\[\n \\text{Zack's age in 3 years} = 42 + 3 = 45 \\text{ years}\n \\]\n\n4. **Compute the Sum of Ages in 3 Years:**\n Summing the ages in 3 years:\n \\[\n \\text{Total age in 3 years} = 66 + 24 + 45 = 135 \\text{ years}\n \\]\n\n5. **Calculate the Average Age in 3 Years:**\n Dividing the total age in 3 years by the number of people (3):\n \\[\n \\text{Average age in 3 years} = \\frac{135}{3} = 45 \\text{ years}\n \\]\n\n### Conclusion:\nThe average age of the three in 3 years will be:\n\\[\n\\boxed{45 \\text{ years}}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Calculate Yuri's Points:**\n\n \\[\n \\text{Yuri's points} = \\frac{1}{2} \\times 68 + 10\n \\]\n\n Breaking it down:\n\n \\[\n \\frac{1}{2} \\times 68 = 34\n \\]\n\n \\[\n 34 + 10 = 44\n \\]\n\n So, Yuri scored 44 points.\n\n2. **Calculate Naomi's Points:**\n\n \\[\n \\text{Naomi's points} = 68\n \\]\n\n3. **Calculate Brianna's Points:**\n\n \\[\n \\text{Brianna's points} = 68 + 17 = 85\n \\]\n\n4. **Sum the Points Scored by Naomi, Yuri, and Brianna:**\n\n \\[\n \\text{Total points} = 68 + 44 + 85\n \\]\n\n Simplifying the sum:\n\n \\[\n 68 + 44 = 112\n \\]\n\n \\[\n 112 + 85 = 197\n \\]\n\n So, the total points scored by Naomi, Yuri, and Brianna is 197.\n\n5. **Calculate Jojo's Points:**\n\n \\[\n \\text{Jojo's points} = 251 - 197\n \\]\n\n Subtracting:\n\n \\[\n 251 - 197 = 54\n \\]\n\n### Conclusion:\n\nJojo scored \\(\\boxed{54}\\) points.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nCarmen spent 10 minutes per crossword puzzle, so for 3 crossword puzzles she spent 10 minutes x 3 = 30 minutes. \n\nShe also spent 5 minutes per sudoku puzzle, so for 8 sudoku puzzles she spent 5 minutes x 8 = 40 minutes. \n\nIn total, Carmen spent 30 minutes + 40 minutes = 70 minutes playing these games. \n\n#### 70\nThe answer is: 70", "answer": {"result": 70.0}}, "matches": true} +{"solution": {"solution": "Celine used 90 liters of water from the tank, so there were 120 - 90 = 30 liters of water left in the tank.\nShe collected rainwater that is twice as much as what was left, so she collected 2 * 30 = 60 liters of rainwater.\nTherefore, the total amount of water in the tank now is 30 + 60 = 90 liters.\n#### 90\nThe answer is: 90", "answer": {"result": 90.0}}, "matches": true} +{"solution": {"solution": "Andy plants 90 geraniums. \n\nThe number of petunias he plants is 40 fewer than the number of geraniums, so he plants 90 - 40 = 50 petunias.\n\nTo find the total number of flowers, we add the number of geraniums and petunias: 90 geraniums + 50 petunias = 140 flowers.\n\nTherefore, Andy plants a total of $\\boxed{140}$ flowers.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The company spends $15000 on advertising for the first year. \nFor the second year, the company spends a third of that amount, which is $15000/3 = $5000.\nThe total amount spent on advertising for the two years is $15000 + $5000 = $20000.\n#### 20000\nThe answer is: 20000", "answer": {"result": 20000.0}}, "matches": true} +{"solution": {"solution": "Carlos rents a canoe for $30 an hour and uses it for 3 hours, so he will pay 30 * 3 = $90 for his rental. \n\nBenji rents a banana boat raft for $18 an hour and uses it for 5 hours, so he will pay 18 * 5 = $90 for his rental. \n\nAltogether, they will pay $90 (Carlos) + $90 (Benji) = $\\boxed{\\$180}$ for their rentals.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. Calculate the total number of days to travel from New Jersey to Rochester by bus:\n - Given that it takes 6 days, \\(6\\) days for the trip to Rochester by bus.\n\n2. Determine the number of days to travel from New Jersey to Rochester by car:\n - It takes half as many days to travel by car as it takes by bus.\n - Therefore, the time by car is \\( \\frac{6}{2} = 3 \\) days.\n\n3. Calculate the total number of days for the round trip:\n - The round trip involves traveling to Rochester by bus and returning by car.\n - Total days = \\( 6 \\) days (by bus to Rochester) + \\( 3 \\) days (by car back to New Jersey) = \\( 9 \\) days.\n\n### Conclusion:\nAndrew will travel for a total of \\(\\boxed{9}\\) days.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nFirst, let's determine the new total number of water type cards: \nJames initially has 40 water type cards and loses 8, so he has 40 - 8 = 32 water type cards remaining.\n\nNext, let's determine the new total number of cards: \nJames initially has 30 + 20 + 40 = 90 cards in total.\n\nAfter buying 14 grass type cards, he now has 20 + 14 = 34 grass type cards.\n\nSo, the new total number of cards is 30 + 34 + 32 = 96 cards.\n\nTo find the percentage chance that a randomly picked card will be a water type, we divide the number of water type cards by the total number of cards and multiply by 100:\n\n(32 / 96) * 100 = 33.33%\n\nRounded to the nearest integer, the percentage chance is 33%.\n\nAnswer:\n33", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the cost of the extras he adds to his burrito:\n\n- Extra meat: $2.00\n- Extra cheese: $1.00\n- Avocado: $1.00\n- 2 sauces: 2 * $0.25 = $0.50\n\nNow, let's add these extras to the base burrito cost:\n\nBase burrito: $6.50\nExtras: $2.00 + $1.00 + $1.00 + $0.50 = $4.50\n\nTotal cost before upgrade and gift card: $6.50 + $4.50 = $11.00\n\nNext, let's add the upgrade to the meal:\n\nUpgrade: $3.00\n\nNow, let's subtract the gift card:\n\nGift card: $5.00\n\nFinally, let's calculate the total amount he still owes:\n\nTotal cost before gift card: $11.00\nUpgrade: $3.00\nGift card: -$5.00\n\nTotal still owed: $11.00 + $3.00 - $5.00 = $9.00\n\nChad still owes $\\boxed{\\$9.00}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Kalinda can add 4 pieces per minute, so in one hour (60 minutes), she can add 4 * 60 = 240 pieces.\n\nHer mom can place half as many pieces per minute as Kalinda, so her mom can place 4 / 2 = 2 pieces per minute.\n\nIn one hour (60 minutes), her mom can place 2 * 60 = 120 pieces.\n\nTogether, in one hour, they can add 240 + 120 = 360 pieces.\n\nSince the puzzle has 360 pieces, they will complete the puzzle in 1 hour.\n\n#### 1\nThe answer is: 1", "answer": {"result": 1.0}}, "matches": true} +{"solution": {"solution": "\n\nAfter two months, 30% of the watermelons were ready for harvest, so Ashlyn took 30% of 120 melons, which is 0.30 * 120 = 36 melons.\n\nThis leaves 120 - 36 = 84 melons remaining.\n\nTwo weeks later, 3/4 of the remaining melons were ready for harvest, so Ashlyn harvested 3/4 * 84 = 63 melons.\n\nThis leaves 84 - 63 = 21 melons that were not ready to be harvested after the two weeks.\n\n#### 21\nThe answer is: 21", "answer": {"result": 21.0}}, "matches": true} +{"solution": {"solution": "\nFirst, let's calculate the total cost of the cars before tax and registration: \n12 cars * $20,000/car = $240,000.\n\nNext, we calculate the tax on the cars: \n10% of $240,000 = 0.10 * $240,000 = $24,000.\n\nNow, let's add the tax to the original cost of the cars: \n$240,000 + $24,000 = $264,000.\n\nFinally, we calculate the registration costs: \n12 cars * $1,000/car = $12,000.\n\nAdding the registration costs to the total cost of the cars and tax gives us: \n$264,000 + $12,000 = $276,000.\n\nSo, Mark pays a total of $276,000 for the fleet of cars, including tax and registration. \n\nThe answer is $276,000.\n\nAnswer: \\boxed{276000}", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "On Monday, Kylie collects 5 more shells than Robert, who collects 20 shells. So, Kylie collects 20 + 5 = 25 shells on Monday.\nOn Tuesday, Kylie collects 2 times more shells than she did on Monday. So, Kylie collects 25 x 2 = 50 shells on Tuesday.\n#### 50\nThe answer is: 50", "answer": {"result": 50.0}}, "matches": true} +{"solution": {"solution": "If Dax found half as many bugs as ants, then there were 50/2 = 25 bugs. \n\nThe total number of insects in the garden is the sum of the ants and bugs, which is 50 + 25 = 75 insects. \n\n#### 75\nThe answer is: 75", "answer": {"result": 75.0}}, "matches": true} +{"solution": {"solution": "One-third of the penguins, which is 36/3 = 12 penguins, jump in and swim in the ocean.\nAnother one-third of the penguins, which is also 12 penguins, go inside the cave to eat their dinner.\nSo, a total of 12 + 12 = 24 penguins are not left sunbathing.\nTherefore, 36 - 24 = 12 penguins are still left sunbathing.\n#### 12\nThe answer is: 12", "answer": {"result": 12.0}}, "matches": true} +{"solution": {"solution": "Steve eats twice as much as his girlfriend, so she eats 6/2 = 3 tomatoes per day.\n\nTogether, they eat 6 (Steve) + 3 (girlfriend) = 9 tomatoes per day.\n\nThere are 7 days in a week, so they eat 9 tomatoes/day * 7 days/week = 63 tomatoes per week.\n\nSince a vine can produce 3 tomatoes per week, Steve would need 63 tomatoes/week / 3 tomatoes/vine = $\\boxed{21}$ vines to meet their weekly consumption.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nJohn wants to ensure that each of the 20 friends can have 4 slices. Since pizzas are sold sliced into 8 portions, each pizza can provide 8/4 = 2 sets of 4 slices. \n\nTo find out how many pizzas John needs to order, we divide the total number of sets of 4 slices needed by the number of sets of 4 slices per pizza:\n\n20 friends * 4 slices per friend = 80 slices needed\n\n80 slices needed / 2 slices per pizza = 40 pizzas\n\nJohn needs to order $\\boxed{40}$ pizzas to ensure each friend gets 4 slices.\n\nAnswer: 40", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nWhen Ram uses one empty pen to make a new pen, he needs five empty pens to create one full pen. \nSo, if he starts with 25 pens, he can make 25/5 = 5 new pens. \nAfter using those 5 pens, he will have 25 - 5 = 20 pens left. \nHe can then use those 20 pens to make 20/5 = 4 more new pens. \nAfter using those 4 pens, he will have 20 - 4 = 16 pens left. \nHe can continue this process until he has no more pens left. \nSo, the total number of pens he gets to have is 5 + 4 + 16 = 25. \n#### 25\nThe answer is: 25", "answer": {"result": 25.0}}, "matches": false} +{"solution": {"solution": "Johnny took his allowance of $20 and added an extra $10, so he had a total of $20 + $10 = $30. \n\nThis sum of money tripled in a year, so he had $30 * 3 = $90 after a year. \n\nTherefore, Johnny had $90 after a year. \n\n#### 90\nThe answer is: 90", "answer": {"result": 90.0}}, "matches": true} +{"solution": {"solution": "1. **Determine Joan's Age**:\n - Jessa is 20 years old.\n - Joan is five years older than Jessa.\n - Joan's age:\n \\[\n \\text{Joan's age} = 20 + 5 = 25 \\text{ years}\n \\]\n\n2. **Determine Mary's Age**:\n - Mary is two years younger than Joan.\n - Mary's age:\n \\[\n \\text{Mary's age} = 25 - 2 = 23 \\text{ years}\n \\]\n\n3. **Calculate the Sum of Their Ages**:\n - Total age of Jessa, Joan, and Mary:\n \\[\n \\text{Total age} = 20 + 25 + 23 = 68 \\text{ years}\n \\]\n\nConclusion:\n\\[\n\\boxed{68}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. Calculate the total number of students who left through exit A:\n \\[\n 1000 \\times 0.30 = 300 \\text{ students}\n \\]\n\n2. Determine the number of students remaining after exit A:\n \\[\n 1000 - 300 = 700 \\text{ students}\n \\]\n\n3. Calculate the number of students who went out through exit B:\n \\[\n 700 \\times \\frac{3}{5} = 420 \\text{ students}\n \\]\n\n4. Determine the number of students remaining after exits A and B:\n \\[\n 700 - 420 = 280 \\text{ students}\n \\]\n\n5. Calculate the number of students who went out through exit C:\n \\[\n 280 \\text{ students}\n \\]\n\nConclusion:\n\\[\n\\boxed{280}\n\\]\n\n---\n\n2. The cost of 3 kilograms of mangoes is $C3$, the cost of 5 kilograms of apples is $C4$, and the cost of 2 kilograms of oranges is $C5$. If the cost of 2 kilograms of mangoes, 3 kilograms of apples, and 1 kilogram of oranges is $C6$, find the cost of 4 kilograms of mangoes, 6 kilograms of apples, and 2 kilograms of oranges.\n\n1. Establish the cost relationship for mangoes:\n \\[\n \\text{Cost of 2 kg of mangoes} = \\frac{C3}{3}\n \\]\n\n2. Establish the cost relationship for apples:\n \\[\n \\text{Cost of 3 kg of apples} = \\frac{C4}{5}\n \\]\n\n3. Establish the cost relationship for oranges:\n \\[\n \\text{Cost of 1 kg of oranges} = \\frac{C5}{2}\n \\]\n\n4. Combine these relationships to find the cost per kilogram for each fruit:\n \\[\n \\frac{C3}{3} = \\frac{C4}{5} = \\frac{C5}{2} = \\text{common cost per kg}\n \\]\n\n5. Solve for the common cost per kilogram from the equality:\n \\[\n \\frac{C3}{3} = \\frac{C4}{5} = \\frac{C5}{2}\n \\]\n Let this common cost be \\( k \\):\n \\[\n k = \\frac{C3}{3} = \\frac{C4}{5} = \\frac{C5}{2}\n \\]\n\n6. Find the cost for 4 kilograms of mangoes:\n \\[\n 4k = 4 \\times \\frac{C3}{3} = 4 \\times \\frac{C3}{3} = C3\n \\]\n\n7. Find the cost for 6 kilograms of apples:\n \\[\n 6k = 6 \\times \\frac{C4}{5} = 6 \\times \\frac{C4}{5} = \\frac{6C4}{5} = \\frac{6}{5}C4\n \\]\n\n8. Find the cost for 2 kilograms of oranges:\n \\[\n 2k = 2 \\times \\frac{C5}{2} = 2 \\times \\frac{C5}{2} = C5\n \\]\n\n9. Combine these costs to find the total cost:\n \\[\n C3 + \\frac{6}{5}C4 + C5\n \\]\n\nConclusion:\n\\[\n\\boxed{C3 + \\frac{6}{5}C4 + C5}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If John has twice as many candies as Robert, and John has 54 candies, then Robert has 54/2 = 27 candies.\n\nJames has 6 more candies than Robert, so James has 27 + 6 = 33 candies.\n\nTo find out how many more candies John has than James, we subtract James' candies from John's candies: 54 - 33 = 21.\n\nJohn has 21 more candies than James.\n#### 21\nThe answer is: 21", "answer": {"result": 21.0}}, "matches": true} +{"solution": {"solution": "Dolly has two books and Pandora has one. If they read each other's books, Dolly will read two additional books (Pandora's book) and Pandora will read two additional books (Dolly's books). \n\nSo, Dolly will have read a total of 2 (her own) + 2 (Pandora's) = 4 books.\nPandora will have read a total of 1 (her own) + 2 (Dolly's) = 3 books.\n\nTogether, they will have read 4 (Dolly's total) + 3 (Pandora's total) = $\\boxed{7}$ books. The answer is 7", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Mike started with 5 pen pals, and he stopped being pen pals with 2 of them, so he now has 5 - 2 = 3 pen pals.\n\nEach pen pal sends 2 letters a week, and Mike responds in kind, so he sends 2 letters to each of his 3 pen pals every week. That's a total of 2 * 3 = 6 letters.\n\nEach letter is 5 pages long, so Mike writes 5 * 6 = 30 pages a week in total.\n\nMike can write a page every 6 minutes, so to write 30 pages, he will take 30 * 6 = 180 minutes.\n\nThere are 60 minutes in an hour, so to convert the 180 minutes into hours, we divide by 60: 180 / 60 = 3 hours.\n\nTherefore, Mike spends $\\boxed{3}$ hours a week writing to his pen pals.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Jason has a phone plan of 1000 minutes per month.\nEach day, he has a 15-minute call with his boss, so he uses 15 minutes x 30 days = 450 minutes for his boss calls.\nHe has also had 300 extra minutes of call to other people.\nSo in total, Jason has used 450 minutes + 300 minutes = 750 minutes for all his calls.\nJason's phone plan is 1000 minutes, so he has 1000 minutes - 750 minutes = 250 minutes left.\n#### 250\nThe answer is: 250", "answer": {"result": 250.0}}, "matches": true} +{"solution": {"solution": "\nLet's break down the problem step by step:\n\n1. Griffin started with 24 fries.\n2. Kyle took 5 fries from Griffin, leaving Griffin with 24 - 5 = 19 fries.\n3. Billy took twice as many fries as Kyle, so Billy took 5 * 2 = 10 fries.\n4. After Billy took his fries, Griffin had 19 - 10 = 9 fries left.\n5. Ginger gave Griffin a certain number of fries, let's call this number G.\n6. Colby took 3 less than the number of fries that Kyle had taken, so Colby took 5 - 3 = 2 fries.\n7. After Colby took his fries, Griffin had 9 - 2 = 7 fries left.\n8. In the end, Griffin had 27 fries.\n\nNow, let's find out how many fries Ginger gave Griffin:\n\n9. Griffin had 7 fries before Ginger gave him some, and he ended up with 27 fries.\n10. So, the number of fries Ginger gave Griffin is 27 - 7 = 20 fries.\n\nTherefore, Ginger gave Griffin $\\boxed{20}$ fries.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Define Variables:**\n Let \\( x \\) be the number of fish in each aquarium.\n\n2. **Set Up the Equation:**\n The problem states that the difference in the number of snails between the two aquariums is twice the total number of fish in both aquariums.\n\n - Number of snails in the first aquarium: \\( 4 \\)\n - Number of snails in the second aquarium: \\( 32 \\)\n - Total number of snails: \\( 4 + 32 = 36 \\)\n\n This difference:\n \\[\n 36 - 4 = 32\n \\]\n\n According to the problem, this difference is twice the total number of fish in both aquariums:\n \\[\n 32 = 2 \\times (2x)\n \\]\n\n3. **Simplify the Equation:**\n Solve for \\( x \\):\n \\[\n 32 = 4x\n \\]\n\n4. **Solve for \\( x \\):**\n Divide both sides by 4:\n \\[\n x = \\frac{32}{4} = 8\n \\]\n\n5. **Conclusion:**\n Therefore, the number of fish in each aquarium is \\( 8 \\).\n\n\\[\n\\boxed{8}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the total cost Jean paid for the makeup artist, we follow these steps:\n\n1. **Calculate the daily cost:**\n - The makeup artist charges $250 per hour.\n - It takes 6 hours to do the makeup each day.\n - Therefore, the daily cost is $250 \\times 6 = $1500$.\n\n2. **Calculate the total cost for one week:**\n - There are 4 days in a week that the makeup is required.\n - So, the total cost for one week is $1500 \\times 4 = $6000$.\n\n3. **Calculate the total cost for the 5 weeks:**\n - The movie takes 5 weeks.\n - Thus, the total cost for 5 weeks is $6000 \\times 5 = $30,000$.\n\n4. **Apply the 10% discount:**\n - After completing the work, the makeup artist gives Jean a 10% discount.\n - The discount amount is $30,000 \\times 0.10 = $3000$.\n\n5. **Calculate the final amount Jean paid:**\n - Subtract the discount from the total cost to find the final amount.\n - Jean paid $30,000 - $3000 = $27,000$.\n\nTherefore, Jean paid a total of $\\boxed{27,000}$ for the makeup work.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Isabelle spent a total of $12 + $43 + $15 + $4 + $22 = $96 on party supplies. \n\nSince she split the cost evenly with her two parents, there are three people sharing the cost. \n\nEach person paid $96 / 3 = $\\boxed{\\$32}$ . \n\nThe answer is: 32", "answer": {"result": 32.0}}, "matches": true} +{"solution": {"solution": "The chef bought 4 bags of onions, and each bag weighs 50 pounds. So, the total weight of onions is 4 bags * 50 pounds/bag = 200 pounds. \n\nThe cost of onions is $1.50 per pound. To find the total cost, we multiply the weight of onions by the cost per pound: 200 pounds * $1.50/pound = $300. \n\nTherefore, the chef spent $\\$300$ on the onions.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nOn Monday, Sue ate 4 times as many cookies as her sister, so she ate 4 * 5 = 20 cookies.\nOn Tuesday, Sue ate twice as many cookies as her sister, so she ate 2 * 13 = 26 cookies.\n\nThe total number of cookies Sue ate is 20 + 26 = 46 cookies.\n\nHer sister ate a total of 5 + 13 = 18 cookies.\n\nEach cookie has 200 calories, so Sue consumed 46 * 200 = 9200 calories.\nHer sister consumed 18 * 200 = 3600 calories.\n\nThe difference in calories consumed by Sue and her sister is 9200 - 3600 = 5600 calories.\n\nTherefore, Sue consumed 5600 more calories than her sister.\n\n#### 5600\nThe answer is: 5600", "answer": {"result": 5600.0}}, "matches": true} +{"solution": {"solution": "1. **Determine the total number of girls in the school:**\n The school is 50% girls. Given that there are 3 classes, each class has 20 students.\n\n \\[\n \\text{Total number of students} = 3 \\times 20 = 60\n \\]\n\n Since the school is 50% girls,\n\n \\[\n \\text{Number of girls} = 50\\% \\times 60 = 0.5 \\times 60 = 30\n \\]\n\n2. **Determine the number of girls in the first and second classes:**\n Given the first class has 15 girls and the second class has 12 girls.\n\n \\[\n \\text{Number of girls in the first and second classes} = 15 + 12 = 27\n \\]\n\n3. **Find the number of girls in the third class:**\n Subtract the number of girls in the first and second classes from the total number of girls in the school.\n\n \\[\n \\text{Number of girls in the third class} = 30 - 27 = 3\n \\]\n\n4. **Determine the number of boys in the third class:**\n Since each class has 20 students and 3 girls in the third class, the remaining are boys.\n\n \\[\n \\text{Number of boys in the third class} = 20 - 3 = 17\n \\]\n\n### Conclusion:\n\nThe number of boys in the third class is \n\n\\[\n\\boxed{17}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Travis started with 61 apps on his tablet. He deleted 9 apps, so:\n\n61 - 9 = 52 apps\n\nThen, he downloaded 18 more apps, so:\n\n52 + 18 = 70 apps\n\nNow, Travis has $\\boxed{70}$ apps on his tablet.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nLast night Rick killed ten wolves and fifteen cougars, for a total of 10 + 15 = 25 animals.\n\nToday Rick killed three times as many wolves as cougars, so he killed 3 * (15 - 3) = 36 wolves.\n\nHe also killed three fewer cougars than the previous night, so he killed 15 - 3 = 12 cougars.\n\nIn total, Rick killed 36 + 12 = 48 animals today.\n\nTherefore, Rick killed 25 + 48 = 73 animals in total.\n\n#### 73\nThe answer is: 73", "answer": {"result": 73.0}}, "matches": true} +{"solution": {"solution": "To find the floor Bill is on, we multiply his starting floor by 4 and then add 6:\n\\[ 3 \\times 4 = 12 \\]\n\\[ 12 + 6 = 18 \\]\nSo, Bill is now on the $\\boxed{18th}$ floor.The answer is: 18", "answer": {"result": 18.0}}, "matches": true} +{"solution": {"solution": "Anne went down the slide 30% less than Mitchel.\n30% of 30 is 30/100 * 30 = 9\nSo Anne went down the slide 30 - 9 = 21 times.\nRobert went down the slide 4 times as much as Anne.\n4 times 21 is 84.\nTherefore, Robert went down the water slide 84 times.\n\n#### 84\nThe answer is: 84", "answer": {"result": 84.0}}, "matches": true} +{"solution": {"solution": "1. **Determine the total number of cows before the additional purchase**:\n - Each of the 10 stalls initially contains 20 cows.\n - Therefore, the total number of cows before Mr. Sylas's purchase is:\n \\[\n 10 \\times 20 = 200 \\text{ cows}\n \\]\n\n2. **Calculate the number of cows after the purchase**:\n - Mr. Sylas buys 40 more cows.\n - Adding these to the existing 200 cows, the new total number of cows is:\n \\[\n 200 + 40 = 240 \\text{ cows}\n \\]\n\n3. **Distribute the cows equally among the stalls**:\n - Mr. Sylas wants to put an equal number of cows in each of the 20 stalls.\n - To find the number of cows per stall, divide the total number of cows by the number of stalls:\n \\[\n \\frac{240}{20} = 12 \\text{ cows per stall}\n \\]\n\n4. **Determine the number of cows in 8 of the stalls**:\n - Since each of the 20 stalls now has 12 cows, the number of cows in 8 stalls is:\n \\[\n 12 \\times 8 = 96 \\text{ cows}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{96}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total value of the pennies.\n100 pennies * $0.01/penny = $1.00\n\nNext, let's calculate the total value of the nickels.\n40 nickels * $0.05/nickel = $2.00\n\nThen, let's calculate the total value of the dimes.\n20 dimes * $0.10/dime = $2.00\n\nFinally, let's calculate the total value of the dollar bills.\n40 dollar bills * $1.00/dollar bill = $40.00\n\nNow, let's add up all the values to find the total amount in Brady's piggy bank.\n$1.00 (pennies) + $2.00 (nickels) + $2.00 (dimes) + $40.00 (dollar bills) = $45.00\n\nBrady has $\\boxed{\\$45.00}$ in his piggy bank.The answer is: 45", "answer": {"result": 45.0}}, "matches": true} +{"solution": {"solution": "First, calculate the total weight of the redwood tree without considering the termite damage:\n- The tree is 200 feet tall, so it consists of 200 sections (each 10 feet).\n- Each section weighs 400 pounds, so the total weight of the tree before termites:\n\\[ 200 \\text{ sections} \\times 400 \\text{ pounds/section} = 80,000 \\text{ pounds} \\]\n\nNext, calculate the amount of wood eaten by the termites:\n- Termites ate 30% of the wood:\n\\[ 0.30 \\times 80,000 \\text{ pounds} = 24,000 \\text{ pounds} \\]\n\nFinally, subtract the weight of the eaten wood from the total weight to find the tree's weight after termite damage:\n\\[ 80,000 \\text{ pounds} - 24,000 \\text{ pounds} = \\boxed{56,000 \\text{ pounds}} \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Nancy owes $0.50 for each of the 8 books, so 8 books * $0.50/book = $4.00 for the overdue book fees.\n\nShe also has to pay a flat fee of $2.00 for having at least one book over a week overdue.\n\nTherefore, the total amount she has to pay is $4.00 (for the book fees) + $2.00 (for the late fee) = $\\boxed{\\$6.00}$ .\nThe answer is: 6", "answer": {"result": 6.0}}, "matches": true} +{"solution": {"solution": "Let's denote the number of apples Jamal has as \\( A \\) and the number of bananas Jamal has as \\( B \\).\n\nFrom the information given:\n1. Andrea has 8 more apples than Jamal, so if Andrea has 52 apples, Jamal has \\( 52 - 8 = 44 \\) apples.\n2. Andrea has half as many bananas as Jamal, so Andrea has \\( \\frac{B}{2} \\) bananas.\n3. Jamal has 4 more bananas than apples, so \\( B = A + 4 \\).\n\nSince we know Jamal has 44 apples, we can calculate the number of bananas he has:\n\\[ B = 44 + 4 = 48 \\]\n\nNow, Andrea has half as many bananas as Jamal:\n\\[ \\frac{B}{2} = \\frac{48}{2} = 24 \\]\n\nTo find the total number of fruits, we add up Andrea's and Jamal's fruits:\n\\[ \\text{Total fruits} = \\text{Andrea's apples} + \\text{Andrea's bananas} + \\text{Jamal's apples} + \\text{Jamal's bananas} \\]\n\\[ \\text{Total fruits} = 52 + 24 + 44 + 48 \\]\n\\[ \\text{Total fruits} = 168 \\]\n\nTherefore, there are $\\boxed{168}$ fruits in total.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To determine the total amount of flour needed for making 36 cookies today and 30 cookies tomorrow, we follow these steps:\n\n1. Calculate the number of batches needed for 36 cookies today:\n - Each batch makes 12 cookies.\n - Therefore, the number of batches for 36 cookies is calculated as $\\frac{36}{12} = 3$ batches.\n\n2. Calculate the number of batches needed for 30 cookies tomorrow:\n - Similarly, each batch makes 12 cookies.\n - Hence, the number of batches for 30 cookies is $\\frac{30}{12} = 2.5$ batches.\n\n3. Add the number of batches for both days to find the total number of batches:\n - Total batches = 3 batches for today + 2.5 batches for tomorrow = $3 + 2.5 = 5.5$ batches.\n\n4. Since 2 cups of flour are needed for each batch, calculate the total amount of flour needed:\n - Total flour needed = 5.5 batches $\\times$ 2 cups per batch = $11$ cups.\n\nTherefore, the total amount of flour Carla will need to bake the cookies today and tomorrow is $\\boxed{11}$ cups.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Determine the number of pennies in the stack**: The stack contains \\(2/3\\) of the total pennies in the cup. Given there are 9,300 pennies, the calculation is:\n \\[\n \\frac{2}{3} \\times 9,300 = 6,200\n \\]\n Thus, there are 6,200 pennies in the stack.\n\n2. **Calculate the total dollar amount**: Each penny is worth $0.01. Therefore, the total dollar amount in the stack is:\n \\[\n 6,200 \\times 0.01 = 62\n \\]\n\n3. **Conclusion**: The total dollar amount in the stack is \\(\\boxed{62}\\) dollars.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Maddison initially has 5 boxes with 50 marbles in each box, so she has 5 * 50 = 250 marbles.\nAfter receiving 20 more marbles from her friend, she now has 250 + 20 = 270 marbles.\n#### 270\nThe answer is: 270", "answer": {"result": 270.0}}, "matches": true} +{"solution": {"solution": "Chris has 6 trees.\nFerdinand has half the number of trees that Chris has, so Ferdinand has 6/2 = 3 trees.\nHarry has 5 more than twice the number of trees that Ferdinand has, so Harry has 2*3 + 5 = 11 trees.\nThe difference in the number of trees between Harry's yard and Ferdinand's yard is 11 - 3 = 8 trees.\n#### 8\nThe answer is: 8", "answer": {"result": 8.0}}, "matches": true} +{"solution": {"solution": "Carmen has $100. \nSamantha has $25 more than Carmen, so she has $100 + $25 = $125.\nDaisy has $50 more than Samantha, so she has $125 + $50 = $175.\nTo find the total amount all three girls have combined, we add up their individual amounts: $100 + $125 + $175 = $400.\n#### 400\nThe answer is: 400", "answer": {"result": 400.0}}, "matches": true} +{"solution": {"solution": "The brokerage fee is 5% of the selling price, so it is 5/100 * $350,000 = $17,500. \n\nThe transfer fee is 12% of the selling price, so it is 12/100 * $350,000 = $42,000. \n\nThe total additional cost is $17,500 + $42,000 = $59,500. \n\nTherefore, the total price of the house is $350,000 + $59,500 = $409,500. \n\nMrs. Cruz's budget is $400,000, so the total price of the house is $409,500 - $400,000 = $9,500 more than her budget. \n\n#### 9500\nThe answer is: 9500", "answer": {"result": 9500.0}}, "matches": true} +{"solution": {"solution": "To calculate Mr. Tan's net proceeds from selling the house, we need to subtract all the fees and the loan amount from the selling price.\n\nFirst, let's calculate the transfer fees:\nTransfer fees = 3% of the selling price\nTransfer fees = 0.03 * $400,000\nTransfer fees = $12,000\n\nNext, let's calculate the brokerage fee:\nBrokerage fee = 5% of the selling price\nBrokerage fee = 0.05 * $400,000\nBrokerage fee = $20,000\n\nNow, let's add the transfer fees and brokerage fees to find the total fees:\nTotal fees = Transfer fees + Brokerage fee\nTotal fees = $12,000 + $20,000\nTotal fees = $32,000\n\nFinally, let's subtract the total fees and the loan amount from the selling price to find the net proceeds:\nNet proceeds = Selling price - Total fees - Loan amount\nNet proceeds = $400,000 - $32,000 - $250,000\nNet proceeds = $118,000\n\nMr. Tan's net proceeds from selling the house are $\\boxed{\\$118,000}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how much time passes from starting the oil to having cooked chicken, we follow these steps:\n\n1. **Calculate the additional time needed to heat up the oil to 400 degrees:**\n - The initial heating time is 20 minutes.\n - The additional time is 40% of 20 minutes.\n - Calculation: $20 \\times 0.40 = 8$ minutes.\n - Therefore, the total heating time to 400 degrees is $20 + 8 = 28$ minutes.\n\n2. **Determine the total time taken including cooking:**\n - The cooking time is 5 minutes less than the heating time.\n - Calculation: $28 - 5 = 23$ minutes.\n\nThus, the total time from starting the oil to having cooked chicken is $23$ minutes.\n\nSo, the final answer is $\\boxed{23}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the total cost of the ads, we need to calculate the cost for newspaper ads and the cost for television ads separately, then add them together.\n\nFirst, let's calculate the cost for newspaper ads:\n- Each newspaper ad costs $5.\n- He bought 50 newspaper ads.\n- So, the total cost for newspaper ads = $5/ad * 50 ads = $250.\n\nNext, let's calculate the cost for television ads:\n- Each television ad costs $75.\n- He bought 15 television ads.\n- So, the total cost for television ads = $75/ad * 15 ads = $1125.\n\nNow, let's add the costs of both types of ads to find the total cost:\n- Total cost = Cost for newspaper ads + Cost for television ads\n- Total cost = $250 + $1125 = $1375.\n\nTherefore, the real estate agent spent a total of $\\boxed{1375}$ dollars on buying all the ads.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nHalf of the 16 balls are golf balls, so there are 16/2 = 8 golf balls.\nHalf of the golf balls are blue, so there are 8/2 = 4 blue golf balls.\nTherefore, there are 4 blue golf balls.\n#### 4\nThe answer is: 4", "answer": {"result": 4.0}}, "matches": true} +{"solution": {"solution": "The second bag has 300 + 12 = 312 M&Ms.\n\nThe third bag has 300 / 2 = 150 M&Ms.\n\nIn total, Mary has 300 + 312 + 150 = 762 M&Ms.\n\n#### 762\nThe answer is: 762", "answer": {"result": 762.0}}, "matches": true} +{"solution": {"solution": "John has 2 houses, and each house has 3 bedrooms, so there are 2 * 3 = 6 bedrooms in total.\n\nEach bedroom has 2 windows, so there are 6 * 2 = 12 windows in the bedrooms.\n\nThere are an additional 4 windows in each house not connected to bedrooms, so there are 2 * 4 = 8 additional windows.\n\nAdding the windows in the bedrooms and the additional windows, there are 12 + 8 = 20 windows in total.\n\nTherefore, there are $\\boxed{20}$ windows between the houses.The answer is: 20", "answer": {"result": 20.0}}, "matches": true} +{"solution": {"solution": "To find the change given by the cashier, we first need to calculate the total cost of the items the mother bought. \n\n- The cost of the cocoa is $4.20.\n- The cost of the laundry is $9.45.\n- The cost of the package of pasta is $1.35.\n\nAdding these amounts together gives us the total cost:\n\\[4.20 + 9.45 + 1.35 = 15.00\\]\n\nThe mother pays $20, so to find the change, we subtract the total cost from the amount paid:\n\\[20 - 15.00 = 5.00\\]\n\nTherefore, the cashier gives back $\\boxed{5.00}$ in change.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nTo solve for the number of stitches in each sleeve, we start by determining the stitch count for the collar and the rosette, and then subtract those from the total stitches to find the combined stitch count for the body and sleeves. \n\n1. **Calculate the stitches for the collar:**\n - The collar takes a tenth of the stitches needed for the body.\n - The body requires 900 stitches.\n - Therefore, the stitches for the collar are calculated as $\\frac{900}{10} = 90$ stitches.\n\n2. **Calculate the stitches for the rosette:**\n - The rosette requires twice the stitches of the collar.\n - The collar has 90 stitches.\n - Therefore, the stitches for the rosette are $90 \\times 2 = 180$ stitches.\n\n3. **Find the combined stitch count for the body and sleeves:**\n - The total stitch count for the sweater is 1800 stitches.\n - Subtract the stitches for the collar (90) and the rosette (180) from the total.\n - The calculation is $1800 - 90 - 180 = 1530$ stitches.\n\n4. **Determine the number of stitches per sleeve:**\n - The body and sleeves together require 1530 stitches.\n - Since the sweater has two sleeves, we divide the 1530 stitches by 2.\n - The calculation is $\\frac{1530}{2} = 765$ stitches.\n\n5. **Conclusion:**\n - Each sleeve of the sweater takes 765 stitches.\n\nTherefore, the number of stitches in each sleeve is $\\boxed{765}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Mrs. Rylan bought 20 packets of tomato seeds at $40 each, so she spent 20 * $40 = $800 on tomato seeds.\n\nShe also bought 80 packets of celery seeds at $30 each, so she spent 80 * $30 = $2400 on celery seeds.\n\nTo find the total amount of money she used to buy the seeds, we add the amounts spent on tomato seeds and celery seeds: $800 + $2400 = $3200.\n\nMrs. Rylan used a total of $3200 to buy the seeds. \n\nThe final answer is $\\boxed{3200}$ dollars.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nFirst, let's find out how many lines Sean has to memorize for the first scene. Since it has twice the number of lines as the song, it has 2 * 54 = 108 lines in total.\n\nHowever, only a third of these lines are his, so Sean has to memorize 108 / 3 = 36 lines for the first scene.\n\nNext, let's find out how many lines Sean has to memorize for the second scene. It has six more lines than the song, so it has 54 + 6 = 60 lines in total.\n\nSince four-fifths of these lines are his, Sean has to memorize 60 * 4/5 = 48 lines for the second scene.\n\nFinally, let's add up all the lines Sean has to memorize. He has 36 lines for the first scene, 54 lines for the song, and 48 lines for the second scene.\n\nSo, Sean has to memorize 36 + 54 + 48 = 138 lines in total.\n\n#### 138\nThe answer is: 138", "answer": {"result": 138.0}}, "matches": true} +{"solution": {"solution": "2/5 of the cards had the letter A on them, so there were 2/5 * 80 = 32 cards with the letter A.\nThe remaining cards are 80 - 32 = 48.\n1/2 of the remaining cards had the letter B, so there were 1/2 * 48 = 24 cards with the letter B.\nThe rest of the cards are 48 - 24 = 24.\n5/8 of the remaining cards had the letter C, so there were 5/8 * 24 = 15 cards with the letter C.\nThe cards that had the letter D are the remaining cards, which are 24 - 15 = 9 cards.\nTherefore, 9 of the cards had the letter D on them.\n#### 9\nThe answer is: 9", "answer": {"result": 9.0}}, "matches": true} +{"solution": {"solution": "To find the total time Matthew will take to dig 30 small holes and 15 large holes, we first calculate the time for each type of hole separately and then sum them up.\n\nFor the small holes:\n- Each small hole takes 3 minutes.\n- For 30 small holes, the total time is $30 \\times 3 = 90$ minutes.\n\nFor the large holes:\n- Each large hole takes 10 minutes.\n- For 15 large holes, the total time is $15 \\times 10 = 150$ minutes.\n\nAdding the times for both types of holes gives us the total time:\n- Total time = Time for small holes + Time for large holes\n- Total time = $90 + 150 = 240$ minutes.\n\nTo convert the total time into hours, we use the conversion factor that 1 hour equals 60 minutes:\n- Total time in hours = Total time in minutes / 60\n- Total time in hours = $240 / 60 = 4$ hours.\n\nTherefore, it will take Matthew $\\boxed{4}$ hours to dig 30 small holes and 15 large holes.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Determine their ages now:**\n Given that Mico and Marco's combined age is 20, we need to find the two possible pairs of ages for them. These pairs are:\n \\[\n M + N = 20\n \\]\n where \\( M \\) is Mico's age and \\( N \\) is Marco's age. The pairs can be:\n \\[\n \\begin{aligned}\n (M, N) &= (1, 19), \\\\\n (M, N) &= (2, 18), \\\\\n (M, N) &= (3, 17), \\\\\n &\\vdots \\\\\n (M, N) &= (10, 10), \\\\\n (M, N) &= (11, 9), \\\\\n (M, N) &= (12, 8), \\\\\n &\\vdots \\\\\n (M, N) &= (19, 1).\n \\end{aligned}\n \\]\n\n2. **Calculate their ages in 10 years:**\n For each pair, we add 10 to each age. Thus, if \\( M \\) and \\( N \\) are the current ages, their ages in 10 years will be \\( M + 10 \\) and \\( N + 10 \\).\n\n3. **Sum their ages after 10 years:**\n For each pair \\((M, N)\\), their combined age in 10 years will be:\n \\[\n (M + 10) + (N + 10) = M + N + 20.\n \\]\n Since \\( M + N = 20 \\):\n \\[\n M + N + 20 = 20 + 20 = 40.\n \\]\n\n4. **Conclusion:**\n Regardless of the actual ages of Mico and Marco, their combined age in 10 years will always be 40.\n\nTherefore, the sum of their ages in 10 years will be:\n\\[\n\\boxed{40}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote Sam's current age as \\( S \\) and Ruby's current age as \\( R \\).\n\nAccording to the information given, Ruby is 6 times older than Sam. This can be written as:\n\\[ R = 6S \\]\n\nIn 9 years, Ruby's age will be \\( R + 9 \\) and Sam's age will be \\( S + 9 \\). At that time, Ruby will be 3 times as old as Sam, so we can write:\n\\[ R + 9 = 3(S + 9) \\]\n\nNow we can substitute the expression for \\( R \\) from the first equation into the second equation:\n\\[ 6S + 9 = 3(S + 9) \\]\n\nExpanding the right side of the equation, we get:\n\\[ 6S + 9 = 3S + 27 \\]\n\nNow, let's solve for \\( S \\):\n\\[ 6S - 3S = 27 - 9 \\]\n\\[ 3S = 18 \\]\n\\[ S = 6 \\]\n\nSo, Sam is currently $\\boxed{6}$ years old.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Peter purchased 20 popsicles at $0.25 each, so he paid 20 * $0.25 = $5 for the popsicles.\nHe also purchased 4 ice cream bars at $0.50 each, so he paid 4 * $0.50 = $2 for the ice cream bars.\nIn total, Peter paid $5 + $2 = $7.\n#### 7\nThe answer is: 7", "answer": {"result": 7.0}}, "matches": true} +{"solution": {"solution": "First, let's find out how many spots a mamba has. Since a cobra has 70 spots and it has twice as many spots as a mamba, a mamba has 70 / 2 = 35 spots.\n\nNext, let's calculate the total number of spots for one cobra and one mamba:\nCobra spots + Mamba spots = 70 + 35 = 105 spots\n\nNow, let's find out the total number of spots for all the cobras and mambas in the park:\nTotal spots for cobras = 40 cobras * 70 spots/cobra = 2800 spots\nTotal spots for mambas = 60 mambas * 35 spots/mamba = 2100 spots\n\nCombined total spots = 2800 spots (cobras) + 2100 spots (mambas) = 4900 spots\n\nTo find half the number of spots they all have combined, we divide the total number of spots by 2:\n4900 spots / 2 = 2450 spots\n\nSo, half the number of spots they all have combined is 2450 spots.\n\nThe answer is: 2450", "answer": {"result": 2450.0}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total number of people attending the soccer game. \n\nThere are 12 team members, and each member brings 2 guests. So, the guests will add:\n12 team members * 2 guests each = 24 guests\n\nNow, let's add the 3 coaches to the total:\n24 guests + 3 coaches = 27 people\n\nSince each pizza serves 3 people, we'll divide the total number of people by 3 to find out how many pizzas Maddy needs:\n27 people \u00f7 3 people per pizza = 9 pizzas\n\nEach pizza costs $15, so to find the total cost, we multiply the number of pizzas by the cost per pizza:\n9 pizzas * $15 per pizza = $135\n\nMaddy will spend $\\boxed{\\$135}$ on pizzas.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total length of the topaz gemstones in the necklace. Since each gemstone is one inch long and Katerina uses 8 gemstones per necklace, the total length of the gemstones is:\n\n8 gemstones * 1 inch/gemstone = 8 inches\n\nNow, we know that the total length of the necklace is 25 inches. To find the length of the sterling silver beads, we subtract the length of the gemstones from the total length of the necklace:\n\n25 inches (total length) - 8 inches (length of gemstones) = 17 inches (length of silver beads)\n\nEach sterling silver bead is one-quarter of an inch long. To find out how many beads are needed to make up the 17 inches of silver beads, we divide the total length of the silver beads by the length of one bead:\n\n17 inches / (1/4 inch/bead) = 17 inches * 4 beads/inch = 68 beads\n\nTherefore, Katerina uses $\\boxed{68}$ sterling silver beads per necklace.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "In the first week, Alani wrote 20 stories, Braylen wrote 40 stories, and Margot wrote 60 stories. \n\nIn the second week, Alani doubled her number of stories, so she wrote 20 x 2 = 40 stories.\nBraylen also doubled his number of stories, so he wrote 40 x 2 = 80 stories.\nMargot also doubled her number of stories, so she wrote 60 x 2 = 120 stories.\n\nIn total, they wrote 20 + 40 + 40 + 60 + 80 + 120 = 360 stories altogether. \n\n#### 360\nThe answer is: 360", "answer": {"result": 360.0}}, "matches": true} +{"solution": {"solution": "Ann's brother is currently twice her age, so he is 9 * 2 = 18 years old. \nIn 3 years, her brother will be 18 + 3 = 21 years old. \n#### 21\nThe answer is: 21", "answer": {"result": 21.0}}, "matches": true} +{"solution": {"solution": "\n\nKelly has 5 quarters, which is equivalent to 5 * 25 = 125 cents.\n\nShe also has 2 dimes, which is equivalent to 2 * 10 = 20 cents.\n\nIn total, Kelly has 125 + 20 = 145 cents.\n\nIf she buys a can of pop for 55 cents, she will have 145 - 55 = 90 cents left.\n\nTherefore, Kelly will have 90 cents left.\n\nAnswer: 90 cents.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the total number of rows of 5 stars in the flag, I need to subtract the number of stars in the 8-star and 6-star rows from the total number of stars. I can use the formula for the sum of an arithmetic series to find the total number of stars in the 8-star and 6-star rows. The sum of an arithmetic series is given by S_n = n/2 (a_1 + a_n), where n is the number of terms, a_1 is the first term, and a_n is the last term. For the 8-star rows, n = 3, a_1 = 8, and a_n = 8, so S_n = 3/2 (8 + 8) = 24. For the 6-star rows, n = 2, a_1 = 6, and a_n = 6, so S_n = 2/2 (6 + 6) = 12. Therefore, the total number of stars in the 8-star and 6-star rows is 24 + 12 = 36. The remaining number of stars must be in the 5-star rows, so they are 76 - 36 = 40. Now I need to find how many 5-star rows there are. I can use the same formula, but this time with n as the unknown. I have S_n = n/2 (5 + 5) = 40, so n/2 (10) = 40, or n = 8. Therefore, there are 8 rows of 5 stars in the flag.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total weight of the flagstones. Each flagstone weighs 75 pounds, and there are 80 flagstones. \n\nTotal weight of flagstones = Number of flagstones \u00d7 Weight per flagstone\nTotal weight of flagstones = 80 \u00d7 75\nTotal weight of flagstones = 6000 pounds\n\nNow, we know that each delivery truck can carry a total weight of 2000 pounds. To find out how many trucks are needed, we divide the total weight of the flagstones by the weight capacity of each truck.\n\nNumber of trucks needed = Total weight of flagstones \u00f7 Weight capacity per truck\nNumber of trucks needed = 6000 \u00f7 2000\nNumber of trucks needed = 3\n\nSo, $\\boxed{3}$ trucks will be needed to transport 80 flagstones in one trip.The answer is: 3", "answer": {"result": 3.0}}, "matches": true} +{"solution": {"solution": "The car in the slow lane is traveling at half the speed of the car in the fast lane, so its speed is 60 miles/hour / 2 = 30 miles/hour.\n\nTo find the time it took for the car in the slow lane to cover 480 miles, we use the formula:\n\nTime = Distance / Speed\n\nSubstituting the given values:\n\nTime = 480 miles / 30 miles/hour = 16 hours\n\nSo, the car in the slow lane took 16 hours to cover the same distance.\n\nFinal answer: The car in the slow lane took 16 hours to cover 480 miles.\n\nAnswer: \\boxed{16}", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nAli has 22 medals. Izzy has 5 less medals than Ali, so Izzy has 22 - 5 = 17 medals. \n\nTogether, Ali and Izzy have 22 + 17 = 39 medals. \n\nThe total number of medals given out for counting is 10 times more than what Ali and Izzy have together. \n\nSo, the total number of medals given out for counting is 39 x 10 = $\\boxed{390}$ medals. \n\nAnswer: 390", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total number of chocolate bars. There are 8 packets, and each packet contains 5 chocolate bars, so there are 8 * 5 = 40 chocolate bars in total.\n\nNext, let's figure out how many chocolate bars the 4 adults will get. Since each adult gets 6 chocolate bars, the adults will get 4 adults * 6 chocolate bars/adult = 24 chocolate bars.\n\nNow, subtract the chocolate bars given to the adults from the total to find out how many are left for the children: 40 total chocolate bars - 24 chocolate bars for adults = 16 chocolate bars left for the children.\n\nThere are 8 children, and they will share the remaining 16 chocolate bars equally. To find out how many chocolate bars each child will get, divide the remaining chocolate bars by the number of children: 16 chocolate bars / 8 children = 2 chocolate bars per child.\n\nSo, each child will get $\\boxed{2}$ chocolate bars.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Susan works for a total of 3 hours, from 8 a.m. to 11 a.m. \n\nFirst, let's calculate the total number of 10-minute intervals she works in those 3 hours. \n\n3 hours = 180 minutes (since 1 hour = 60 minutes)\n\nNow, we divide the total minutes by the interval length (10 minutes):\n\n180 minutes / 10 minutes = 18 intervals\n\nHowever, Susan takes a half-hour pause. A half-hour is 30 minutes, which is 3 intervals of 10 minutes each. So, she loses 3 intervals of work.\n\n18 intervals - 3 intervals = 15 intervals\n\nSusan earns $5 for each interval, so we multiply the number of intervals by the amount she earns per interval:\n\n15 intervals * $5/interval = $75\n\nSusan earns $\\boxed{\\$75}$ for the online task.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Determine points after the third round:**\n\n - Mike's points: \\(21\\)\n - Jim's points: \\(21 - 3 = 18\\)\n - Tony's points: \\(21 \\times 2 = 42\\)\n\n2. **Determine points after the fourth round (distributing extra points):**\n\n - Check each player to see if they get an extra point:\n - Mike: \\(21 > 20\\), so Mike gets an extra point.\n - Jim: \\(18 \\leq 20\\), so Jim does not get an extra point.\n - Tony: \\(42 > 20\\), so Tony gets an extra point.\n\n - Now calculate the updated points:\n - Mike's points: \\(21 + 1 = 22\\)\n - Jim's points: \\(18\\) (unchanged)\n - Tony's points: \\(42 + 1 = 43\\)\n\n3. **Sum the total points after the fourth round:**\n\n \\[\n \\text{Total points} = 22 + 18 + 43 = 83\n \\]\n\n### Conclusion:\n\\[\n\\boxed{83}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The oldest son is 8 years old, so he washes 8 oranges. \n\nThe youngest son is half as old as the oldest, so he is 8 / 2 = 4 years old. \n\nThe youngest son washes 4 oranges. \n\nIn total, the sons wash 8 + 4 = 12 oranges. \n\nWill bought 15 oranges, so there are 15 - 12 = 3 oranges left unwashed. \n\n#### 3\nThe answer is: 3", "answer": {"result": 3.0}}, "matches": true} +{"solution": {"solution": ". On the first day, Darren does 100 pushups, 50 squats, and 20 dumbbell presses, for a total of 100 + 50 + 20 = 170 activities.\nOn the second day, he does 20 more pushups than the first day, so 100 + 20 = 120 pushups.\nHe does ten fewer squats than the first day, so 50 - 10 = 40 squats.\nHe doubles the number of dumbbell presses, so 20 x 2 = 40 dumbbell presses.\nOn the second day, Darren does 120 + 40 + 40 = 200 activities.\nThe total count of activities he's done in the two days is 170 + 200 = 370.\n#### 370\nThe answer is: 370", "answer": {"result": 370.0}}, "matches": true} +{"solution": {"solution": "Each person consumes 0.2 kg of rice every meal, and there are 2 meals (lunch and dinner) per day, so each person consumes 0.2 kg x 2 = 0.4 kg of rice per day.\nThere are 5 members of the household, so they consume a total of 0.4 kg x 5 = 2 kg of rice per day.\nThere are 7 days in a week, so they consume a total of 2 kg x 7 = 14 kg of rice per week.\nA 42 kg bag of rice will last 42 kg / 14 kg per week = 3 weeks.\n#### 3\nThe answer is: 3", "answer": {"result": 3.0}}, "matches": true} +{"solution": {"solution": "Sam had a target of selling 120 crates in a week. He was closed on Monday and Friday, so he had 5 days of selling bread.\n\nOver the weekend (Saturday and Sunday), he sold 20 crates.\nOn Tuesday, he sold 15 crates.\nOn Wednesday, he sold 12 crates.\nOn Thursday, he sold 18 crates.\n\nLet's add up the crates sold during these days:\n\nWeekend: 20 crates\nTuesday: 15 crates\nWednesday: 12 crates\nThursday: 18 crates\n\nTotal crates sold = 20 + 15 + 12 + 18 = 65 crates\n\nNow, let's compare this to his target of 120 crates:\n\nTarget - Crates sold = 120 - 65 = 55 crates\n\nSam was $\\boxed{55}$ crates off from his target for the week.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Carmen accepts the opening bid of $200 for the antique desk. \nThe bids on the desk rise by $50 each time, so after the first person bids, the price becomes $200 + $50 = $250. \nThe second person bids, raising the price to $250 + $50 = $300. \nThe third person bids, raising the price to $300 + $50 = $350. \nCarmen bids after each of the 3 other people, so she bids $400, $450, and $500. \nEventually, Carmen wins the desk at a final price of $500. \nThe desk costs Carmen $500. \n#### 500\nThe answer is: 500", "answer": {"result": 500.0}}, "matches": true} +{"solution": {"solution": "To calculate the total cost John pays for driving to work each year, we break down the problem into smaller, manageable parts.\n\n1. **Calculate the total miles driven per week**:\n - John's work is 30 miles away, and since he has to go there and back each day, the total miles per day are $30 \\times 2 = 60$ miles.\n - He goes to work 5 days a week, so the total miles per week are $60 \\times 5 = 300$ miles.\n\n2. **Calculate the total miles driven per year**:\n - He works for 50 weeks a year, so the total miles driven in a year are $300 \\times 50 = 15,000$ miles.\n\n3. **Calculate the total cost for driving per year**:\n - He is charged $2 per mile, so the total cost for driving is $15,000 \\times 2 = \\$30,000$.\n\n4. **Calculate the total cost for the driver's bonus per year**:\n - He gives his driver a $150 bonus per month, and since there are 12 months in a year, the total bonus per year is $150 \\times 12 = \\$1,800$.\n\n5. **Calculate the total annual cost**:\n - To find the total annual cost, we add the cost for driving and the driver's bonus: $\\$30,000 + \\$1,800 = \\$31,800$.\n\nTherefore, the total annual cost for driving to work, including the driver's bonus, is $\\boxed{31800}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "On Sunday, Peter exercised for 23 minutes.\nOn Monday, Peter exercised for 16 minutes.\nSo, the total time he exercised on Sunday and Monday is 23 + 16 = 39 minutes.\nPeter wants to exercise for twice the amount of time he did on Sunday and Monday combined.\nTherefore, he needs to exercise for 39 * 2 = 78 minutes on Tuesday.\n#### 78\nThe answer is: 78", "answer": {"result": 78.0}}, "matches": true} +{"solution": {"solution": "When we fold the newspaper vertically, we create four sections as follows:\n\n1. **Front Section (Left Front):** Pages 1 to 16.\n2. **Middle Section (Left Back):** Pages 17 to 32.\n3. **Back Section (Right Back):** Pages 1 to 16.\n4. **Front Section (Right Front):** Pages 17 to 32.\n\nLet's calculate the number of pieces of paper used for each section:\n\n- **Front Section:** Contains pages 1 to 16 (16 pages).\n- **Middle Section:** Contains pages 17 to 32 (16 pages).\n- **Back Section:** Contains pages 1 to 16 (16 pages).\n- **Front Section:** Contains pages 17 to 32 (16 pages).\n\nAdding these up:\n\\[ 16 + 16 + 16 + 16 = 64 \\]\n\nThus, a total of $\\boxed{64}$ pieces of paper would be used in a 32-page tabloid.The answer is: 64", "answer": {"result": 64.0}}, "matches": false} +{"solution": {"solution": "Annika spent half of her $50 on food and snacks, so she spent:\n\n$50 / 2 = $25 on food and snacks.\n\nShe also spent an additional $10 on rides.\n\nTo find out how much she spent in total, we add the amount spent on food and snacks to the amount spent on rides:\n\n$25 (food and snacks) + $10 (rides) = $35.\n\nTo find out how much money she has left, we subtract the total amount spent from the initial amount she brought to the fair:\n\n$50 (initial amount) - $35 (total spent) = $15.\n\nAnnika has $\\boxed{\\$15}$ left.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "There are 250 books in total, and 50 books are unsold, so Elise has sold 250 - 50 = 200 books in total. \n\nThe sales number this year is 45, so she sold 200 - 45 = 155 books in the first year. \n\nSince she sold twice as many books in the first year as she has sold in the current year, the number of books sold in the second year is 45. \n\nEach book sells for 20$, so the total amount of money she earned in the second year is 45 books * 20$ per book = 900$. \n\n#### 900\nThe answer is: 900", "answer": {"result": 900.0}}, "matches": false} +{"solution": {"solution": "Watson works 10 hours a day for 5 days a week, so he works a total of 10 hours/day * 5 days/week = 50 hours per week.\nHe earns $10 per hour, so he earns 50 hours/week * $10/hour = $500 per week from his regular wages.\nIf the company performs well, he gets a $300 bonus each week.\nSo, in total, he earns $500 + $300 = $800 per week.\nIn April, there are 4 weeks, so Watson earns $800/week * 4 weeks = $3200 in April.\n#### 3200\nThe answer is: 3200", "answer": {"result": 3200.0}}, "matches": true} +{"solution": {"solution": "John beats 80% of the 20 people he arm wrestles. To find out how many people he loses to, we first calculate 20% of the total number of people he competes against. \n\nThe calculation for the number of people John loses to is as follows:\n- Total people John arm wrestles = 20\n- Percentage of people John loses to = 100% - 80% = 20%\n\nNow, we calculate 20% of 20:\n\\[ \\frac{20}{100} \\times 20 = \\frac{1}{5} \\times 20 = 4 \\]\n\nTherefore, John loses to $\\boxed{4}$ people.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nTwo-thirds of the 60 loaves are sold in the morning, so 60 * 2/3 = 40 loaves are sold in the morning.\nThe remaining loaves are 60 - 40 = 20 loaves.\nHalf of these loaves are sold in the afternoon, so 20 / 2 = 10 loaves are sold in the afternoon.\nTherefore, 10 loaves of bread are sold in the afternoon.\n#### 10\nThe answer is: 10", "answer": {"result": 10.0}}, "matches": true} +{"solution": {"solution": "If Joey loses 8 pounds in 4 weeks, then he loses 8/4 = 2 pounds per week.\nSince Sandy needs 4 weeks to lose the same amount of weight that Joey loses in a single week, she will lose 2 pounds per week.\nTherefore, it will take Sandy 4 weeks to lose the same amount of weight that Joey loses in a single week.\n#### 4\nThe answer is: 4", "answer": {"result": 4.0}}, "matches": false} +{"solution": {"solution": "To calculate the total savings from buying 2 tubs of ice cream and 4 packets of milk, we follow these steps:\n\n1. **Calculate the savings per tub of ice cream:**\n - The original price of one tub of ice cream is $13.\n - The discounted price of one tub of ice cream is $11.\n - Thus, the savings per tub of ice cream is calculated as follows:\n \\[\n 13 - 11 = \\$2\n \\]\n\n2. **Calculate the savings per packet of milk:**\n - The discount on one packet of milk is $0.5.\n - Therefore, the savings per packet of milk is:\n \\[\n 0.5\n \\]\n\n3. **Calculate the total savings for 2 tubs of ice cream:**\n - With 2 tubs of ice cream, the total savings from the ice cream is:\n \\[\n 2 \\times 2 = \\$4\n \\]\n\n4. **Calculate the total savings for 4 packets of milk:**\n - With 4 packets of milk, the total savings from the milk is:\n \\[\n 4 \\times 0.5 = \\$2\n \\]\n\n5. **Calculate the total savings from both items:**\n - Adding the savings from the ice cream and the milk gives the total savings:\n \\[\n 4 + 2 = \\$6\n \\]\n\nTherefore, the total savings from buying 2 tubs of ice cream and 4 packets of milk is $\\boxed{\\$6}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To determine how many extra limbs Helena's Lots-of-Limbs Serum causes a person to grow after fifteen days, we need to calculate the number of extra arms and legs separately and then add them together.\n\n1. **Calculate Extra Arms:**\n - The serum causes the drinker to grow an extra arm every three days.\n - After fifteen days, the number of three-day periods is calculated by dividing the total days by the period of growth for arms:\n \\[\n \\frac{15}{3} = 5\n \\]\n - Therefore, the person grows $5$ extra arms.\n\n2. **Calculate Extra Legs:**\n - The serum causes the drinker to grow an extra leg every five days.\n - After fifteen days, the number of five-day periods is calculated by dividing the total days by the period of growth for legs:\n \\[\n \\frac{15}{5} = 3\n \\]\n - Therefore, the person grows $3$ extra legs.\n\n3. **Total Extra Limbs:**\n - To find the total number of extra limbs grown, we add the number of extra arms to the number of extra legs:\n \\[\n 5 + 3 = 8\n \\]\n\nTherefore, after fifteen days, Helena's Lots-of-Limbs Serum causes a person to grow a total of $\\boxed{8}$ new limbs.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total cost of the business suits and suitcases. \n\nThe cost of 6 business suits at $100 each is:\n6 suits * $100/suit = $600\n\nThe cost of 3 suitcases at $50 each is:\n3 suitcases * $50/suitcase = $150\n\nNow, let's find out the cost of the flight ticket. The flight ticket costs $700 more than 5 times the cost of a business suit. \n\n5 times the cost of a business suit is:\n5 * $100 = $500\n\nSo, the cost of the flight ticket is:\n$500 + $700 = $1200\n\nNow, let's calculate the total amount Theo has spent so far:\nCost of suits + Cost of suitcases + Cost of flight ticket = Total spent\n$600 + $150 + $1200 = $1950\n\nTheo wishes to save $2000 for this trip, so the total amount he has for spending on the trip is:\nHis total amount for the trip - Savings = Amount for spending\n$6000 - $2000 = $4000\n\nFinally, let's find out how much Theo has left to spend on buying gifts for his business partners:\nAmount for spending - Total spent = Amount for gifts\n$4000 - $1950 = $2050\n\nTheo has $\\boxed{\\$2050}$ left to spend on buying gifts for his business partners in South Africa.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nThere are 5 people in the family. \nThree people eat 3 eggs each day, so they eat a total of 3 x 3 = 9 eggs per day. \nThe remaining 2 people eat 2 eggs each day, so they eat a total of 2 x 2 = 4 eggs per day. \nIn total, the family consumes 9 + 4 = 13 eggs per day. \nIn a week, which consists of 7 days, the family will consume 13 x 7 = 91 eggs. \n#### 91\nThe answer is: 91", "answer": {"result": 91.0}}, "matches": true} +{"solution": {"solution": "If Quinn is 30, then Jane is 30 - 3 = 27 years old.\nSince Trent is 5 years older than Jane, Trent is 27 + 5 = 32 years old.\n#### 32\nThe answer is: 32", "answer": {"result": 32.0}}, "matches": true} +{"solution": {"solution": "1. **Determine the current ages**:\n - Cera is currently 46 years old.\n - Six years ago, Cera was \\(46 - 6 = 40\\) years old.\n\n2. **Calculate Noah's age six years ago**:\n - Six years ago, Noah was half the age of Cera, who was 40 years old.\n - Therefore, Noah's age six years ago was \\( \\frac{40}{2} = 20 \\) years old.\n\n3. **Determine Noah's current age**:\n - Noah was 20 years old six years ago, so his current age is \\( 20 + 6 = 26 \\) years old.\n\n4. **Calculate the population of Chile six years ago**:\n - The problem states that the population of Chile six years ago was 3000 times Noah's age at that time.\n - At the time, Noah was 20 years old, so the population of Chile was \\( 3000 \\times 20 = 60000 \\) people.\n\n5. **Determine the current population of Chile**:\n - The population has doubled since then, as it is given that the population now is twice the population six years ago.\n - Therefore, the current population of Chile is \\( 60000 \\times 2 = 120000 \\) people.\n\n### Conclusion:\n\\[\n\\boxed{120000}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The total number of players is 105.\nLet's represent the number of players on the defense as D.\nThe number of players on the offense is twice the number on the defense, so it's 2D.\nThe number of players on the special teams is half the number on the defense, so it's D/2.\nThe total number of players is the sum of the players on the defense, offense, and special teams, so it's D + 2D + D/2.\nWe know that the total number of players is 105, so we can set up the equation D + 2D + D/2 = 105.\nCombining like terms, we get 5D/2 = 105.\nTo solve for D, we multiply both sides of the equation by 2/5: (5D/2) * (2/5) = 105 * (2/5).\nThis simplifies to D = 42.\nTherefore, there are 42 players on the defense.\n#### 42\nThe answer is: 42", "answer": {"result": 42.0}}, "matches": false} +{"solution": {"solution": "Martha invited 2 families with 6 people each, so 2 * 6 = 12 people from those families.\nShe also invited 3 families with 4 people each, so 3 * 4 = 12 people from those families.\nIn total, she invited 12 + 12 = 24 people.\n8 people couldn't come due to illness, so 24 - 8 = 16 people are still coming.\n1/4 of the people who couldn't come had previous commitments, so 8 * 1/4 = 2 people had previous commitments.\nTherefore, 16 - 2 = 14 people show up for Martha's party.\n#### 14\nThe answer is: 14", "answer": {"result": 14.0}}, "matches": true} +{"solution": {"solution": "Solomon initially bought 20 marbles from Johanna, so he now has 20 marbles in the store. \n\nHis father gave him 2/5 times as many marbles as he bought from Johanna, which is 2/5 * 20 = 8 marbles.\n\nAdding these to the 20 marbles he already had, Solomon now has a total of 20 + 8 = 28 marbles in the store.\n\nEach marble weighs 2kgs, so the total weight of the marbles in the store is 28 * 2kgs = 56kgs.\n\nTherefore, the total weight of marbles Solomon has in the store is 56kgs.\n\n#### 56\nThe answer is: 56", "answer": {"result": 56.0}}, "matches": false} +{"solution": {"solution": "The volume of the pool is calculated by multiplying the length, width, and depth: 6 ft * 4 ft * 5 ft = 120 cubic feet.\n\nThe cost to fill the pool is then calculated by multiplying the volume by the cost per cubic foot: 120 cubic feet * $0.1 per cubic foot = $12.\n\nTherefore, it costs $12 to fill the pool.\n\nAnswer: \\boxed{12}", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If the classroom has 30 boys and 3 times as many girls as boys, then the number of girls is 30 * 3 = 90 girls.\nIf the classroom has 1/10 as many nongendered children as boys, then the number of nongendered children is 30 * 1/10 = 3 nongendered children.\nThe total number of children in the classroom is 30 boys + 90 girls + 3 nongendered children = 123 children.\n#### 123\nThe answer is: 123", "answer": {"result": 123.0}}, "matches": true} +{"solution": {"solution": "\n1. **Understanding the Ratio**: The problem states that the ratio of poles to wires is 1:3. This means for every 1 pole, there are 3 wires.\n\n2. **Given Information**: The total number of wires needed for the neighborhood is 45.\n\n3. **Setting Up the Proportion**: According to the given ratio, for every 1 pole, 3 wires are needed. We can represent this as:\n \\[\n \\frac{\\text{Poles}}{\\text{Wires}} = \\frac{1}{3}\n \\]\n or\n \\[\n \\text{Poles} = \\frac{1}{3} \\times \\text{Wires}\n \\]\n\n4. **Substituting the Given Value**: We substitute the number of wires (45) into our equation:\n \\[\n \\text{Poles} = \\frac{1}{3} \\times 45\n \\]\n\n5. **Performing the Multiplication**:\n \\[\n \\text{Poles} = \\frac{45}{3} = 15\n \\]\n\n6. **Calculating the Total Number of Poles**:\n \\[\n \\text{Total Poles} = 15\n \\]\n\n### Conclusion:\n\\[\n\\boxed{15}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Determine the initial total number of people:**\n \n Initially, there were 25 men and 15 women. The total number of people present at the beginning is:\n \\[\n 25 \\text{ men} + 15 \\text{ women} = 40 \\text{ people}\n \\]\n\n2. **Calculate the number of people who left:**\n \n After an hour, \\( \\frac{1}{4} \\) of the total number of people left. The number of people who left is:\n \\[\n \\frac{1}{4} \\times 40 = 10 \\text{ people}\n \\]\n\n3. **Determine the number of men who left:**\n \n According to the problem, 22 men stayed at the party. Therefore, the number of men who left is:\n \\[\n 25 \\text{ men} - 22 \\text{ men} = 3 \\text{ men}\n \\]\n\n4. **Calculate the number of women who left:**\n \n Since 10 people in total left and 3 of them were men, the number of women who left is:\n \\[\n 10 \\text{ people} - 3 \\text{ men} = 7 \\text{ women}\n \\]\n\n5. **Determine the number of women remaining:**\n \n Initially, there were 15 women. After 7 women left, the number of women remaining is:\n \\[\n 15 \\text{ women} - 7 \\text{ women} = 8 \\text{ women}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{8}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If the book costs $4, then the magazine costs $4 / 2 = $2. \n\nThe pen costs $1 less than a magazine, so the pen costs $2 - $1 = $1. \n\nTherefore, the pen costs $\\boxed{\\$1}$ .The answer is: 1", "answer": {"result": 1.0}}, "matches": true} +{"solution": {"solution": "Jam has 3 boxes of pencils and 2 loose pencils, for a total of 3 * 12 + 2 = 38 pencils.\nMeg has 46 pencils.\nTogether, Jam and Meg have 38 + 46 = 84 pencils.\nSince each box can hold 12 pencils, they will need 84 / 12 = 7 boxes to store all their pencils.\n#### 7\nThe answer is: 7", "answer": {"result": 7.0}}, "matches": false} +{"solution": {"solution": "To solve this problem, I need to find out how many ice cubes Shannon needs to cool her coffee by 65 degrees and how much liquid she needs to add to weaken it by 15 milliliters. I can use a proportion to relate the amount of cooling and the amount of weakening for each ice cube. If one ice cube cools the coffee by 13 degrees and weakens it by 12 milliliters, then two ice cubes would cool it by 26 degrees and weaken it by 24 milliliters, and so on. So to cool the coffee by 65 degrees, I need to find a number k such that 13k = 65. I can divide both sides by 13 to get k = 5. This means I need 5 ice cubes to cool the coffee by 65 degrees. Now I need to find out how many milliliters of liquid I need to add to weaken the coffee by 15 milliliters. I can use another proportion, where the amount of weakening is proportional to the amount of liquid. Let x be the amount of liquid in milliliters. Then I have 12x = 15. I can divide both sides by 12 to get x = 1.5. This means I need to add 1.5 milliliters of liquid to weaken the coffee by 15 milliliters. However, I also know that Shannon adds 15 milliliters of cream, which is more than enough to weaken the coffee by 15 milliliters. Therefore, the final answer is the same as the amount of cream she adds, which is 15 milliliters.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "For every 2 old records, people get 1 new record. So, for 7 new records, the equivalent number of old records brought in would be:\n\n7 new records * 2 old records per new record = 14 old records.\n\nSince this calculation is based on the number of new records people receive, and 5 people were involved in the trade, we can confirm that the total number of old records brought in by the 5 people is 14.\n\nThus, the 5 people brought in $\\boxed{14}$ old records.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nThe number of junior programmers is 2/5 * 100 = 40 people.\n\nEach junior programmer is paid $2000 per month, so the total amount paid to junior programmers is 40 * $2000 = $80,000.\n\nThe senior programmers are paid $400 more than the junior programmers, so each senior programmer is paid $2000 + $400 = $2400 per month.\n\nThe number of senior programmers is 100 - 40 = 60 people.\n\nThe total amount paid to senior programmers is 60 * $2400 = $144,000.\n\nThe total amount paid to all the programmers per month is $80,000 + $144,000 = $224,000.\n\n#### 224000\nThe answer is: 224000", "answer": {"result": 224000.0}}, "matches": true} +{"solution": {"solution": "Let's call the number of people who got on the bus at the terminal X. \n\nAt the first stop, 5 more people got on, so the total number of people on the bus is now X + 5.\n\nAt the second stop, 7 people got off, so the number of people on the bus becomes (X + 5) - 7 = X - 2.\n\nThen, 8 more people got on at the second stop, so the total number of people on the bus is now (X - 2) + 8 = X + 6.\n\nWe know that at the third stop, there are 20 people heading to the next destination. This means that the number of people on the bus at the second stop (X + 6) must equal 20.\n\nSo, X + 6 = 20.\n\nTo find the value of X, we subtract 6 from both sides of the equation:\n\nX + 6 - 6 = 20 - 6\n\nX = 14.\n\nTherefore, $\\boxed{14}$ people got on the bus at the terminal.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Oscar starts with 24 lollipops. \n\nHe eats 2 on his way to school, so he has 24 - 2 = 22 lollipops left.\n\nHe passes out 14 to his friends, so he has 22 - 14 = 8 lollipops left.\n\nHe buys twice as many lollipops on his way home as he gave to his friends, which is 14 * 2 = 28 lollipops.\n\nAdding the lollipops he bought to the ones he had left, he now has 8 + 28 = 36 lollipops.\n\nHe eats 3 more that night, so he has 36 - 3 = 33 lollipops left.\n\nHe eats 2 more in the morning, so he has 33 - 2 = 31 lollipops left.\n\nOscar has 31 lollipops. \n\nThe answer is: 31", "answer": {"result": 31.0}}, "matches": true} +{"solution": {"solution": "1. **Determine the total percentage increase needed**: \n The phone starts at 60% and needs to be fully charged at 100%.\n \\[\n 100\\% - 60\\% = 40\\%\n \\]\n So, the phone needs to increase its charge by 40 percentage points.\n\n2. **Calculate the time required per percentage point**:\n The phone charges at a rate of 1 percentage point every 3 minutes.\n \\[\n \\text{Time per percentage point} = 3 \\text{ minutes}\n \\]\n\n3. **Total time to fully charge the phone**:\n Multiply the time needed per percentage point by the total percentage points required.\n \\[\n \\text{Total time} = 40 \\text{ percentage points} \\times 3 \\text{ minutes per percentage point}\n \\]\n \\[\n \\text{Total time} = 120 \\text{ minutes}\n \\]\n\n4. **Convert minutes to hours**:\n There are 60 minutes in an hour.\n \\[\n 120 \\text{ minutes} = \\frac{120}{60} \\text{ hours} = 2 \\text{ hours}\n \\]\n\n5. **Conclusion**:\n It will take 2 hours to fully charge the phone.\n \\[\n \\boxed{2}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Erin initially has 7 lollipops. Her mother adds 10 more, so Erin now has:\n\n7 (initial lollipops) + 10 (from her mother) = 17 lollipops.\n\nErin then gives 3 of her lollipops to Ella, so she has:\n\n17 (total lollipops) - 3 (given to Ella) = 14 lollipops left. \n\nTherefore, Erin has $\\boxed{14}$ lollipops left.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nFirst, let's calculate how many rewards the customer earned from their last shopping trip. They spent $80, so they earned rewards for every $20 spent, which is $80 / $20 = 4 rewards. \n\nEach reward is worth $1 off their next purchase. Therefore, the customer earned 4 * $1 = $4 in rewards. \n\nOn this shopping trip, the customer spent $43 and used their rewards, which took $4 off the price. \n\nThey also applied a coupon that took twice the amount of rewards off the price. Since the rewards were worth $4, the coupon took 2 * $4 = $8 off. \n\nTo find out how much the customer paid on this shopping trip, we subtract the total discounts from the initial amount spent:\n\n$43 (initial amount spent) - $4 (rewards applied) - $8 (coupon applied) = $43 - $4 - $8 = $31. \n\nTherefore, the customer paid $\\boxed{31}$ dollars on this shopping trip. \n\nAnswer: 31", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the net pay for Job A after taxes. \n\nThe gross pay for Job A is $15 per hour * 2000 hours = $30,000.\n\nThe tax rate is 20%, so the tax amount is $30,000 * 20% = $6,000.\n\nThe net pay for Job A is $30,000 - $6,000 = $24,000.\n\nNow, let's calculate the net pay for Job B after taxes.\n\nThe gross pay for Job B is $42,000.\n\nThe property tax is $6,000, so the net pay before income tax is $42,000 - $6,000 = $36,000.\n\nThe income tax rate is 10%, so the income tax amount is $36,000 * 10% = $3,600.\n\nThe net pay for Job B is $36,000 - $3,600 = $32,400.\n\nNow, let's compare the net pay for both jobs. \n\nThe difference in net pay is $32,400 (Job B) - $24,000 (Job A) = $8,400.\n\nNick will make $\\boxed{\\$8,400}$ more at Job B compared to Job A.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "40 percent of the castles are ruins, so there are 220 * 0.40 = 88 ruined castles.\nHalf of the ruined castles are unmanned, so there are 88 * 0.50 = 44 unmanned ruined castles.\n#### 44\nThe answer is: 44", "answer": {"result": 44.0}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total cost of Furniture United's offer:\n\nAdvance payment: $1,350\nMonthly installments: 6 * $350 = $2,100\nTotal cost for Furniture United's offer: $1,350 + $2,100 = $3,450\n\nNow, let's calculate the total cost of Cozy Homes' offer:\n\nAdvance payment: $1,100\nMonthly installments: 9 * $250 = $2,250\nTotal cost for Cozy Homes' offer: $1,100 + $2,250 = $3,350\n\nFinally, let's find the cost difference between the two offers:\n\nCost difference: $3,450 (Furniture United) - $3,350 (Cozy Homes) = $100\n\nThe cost difference between the two offers is $100, with Furniture United being more expensive.\n\nAnswer: The cost difference is $100, with Furniture United being more expensive.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how many guns each person would have if they shared equally, we first need to find the total number of guns they have together. \n\n- DJ has 8 guns.\n- Nick has 10 guns.\n- Jason (not mentioned before, but presumably part of the group) has 7 guns (as per the hint).\n- Richard has 5 guns.\n\nAdding these together, we get the total number of guns:\n\\[8 + 10 + 7 + 5 = 30\\]\n\nNow, to distribute these guns equally among the four people (DJ, Nick, Jason, and Richard), we divide the total number of guns by the number of people:\n\\[30 \\div 4 = 7.5\\]\n\nHowever, since they can't share half a gun, we round down to the nearest whole number, which means each person gets 7 guns. \n\nTherefore, if they were to share their guns equally, each of them would have $\\boxed{7}$ guns.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Mason needs 30 ounces of sugar for each batch of suckers, so for 8 batches of suckers, he would need 30 * 8 = 240 ounces of sugar.\nHe also needs 70 ounces of sugar for each batch of fudge, so for 1 batch of fudge, he would need 70 * 1 = 70 ounces of sugar.\nIn total, Mason needs 240 + 70 = 310 ounces of sugar.\n#### 310\nThe answer is: 310", "answer": {"result": 310.0}}, "matches": true} +{"solution": {"solution": "\n\nMaria buys 8 shares of a stock for $8 each, so the total cost of the shares is 8 * $8 = $64. \n\nThe stock price increases 50% in the first year, so the value of the shares increases by 50% of $64, which is 0.5 * $64 = $32. \n\nThe new value of the shares after the first year is $64 + $32 = $96. \n\nIn the second year, the stock price decreases 25%, so the value of the shares decreases by 25% of $96, which is 0.25 * $96 = $24. \n\nThe final value of the shares after the second year is $96 - $24 = $72. \n\nTherefore, the final value of all Maria's shares is $72. \n\nAnswer: $72", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Luke ate 2 hot dogs.\nThomas ate three times more hot dogs than Luke, so Thomas ate 2 x 3 = 6 hot dogs.\nJohn ate half the amount Thomas ate, so John ate 6 / 2 = 3 hot dogs.\nTo find out how many more hot dogs John ate than Luke, we subtract the number of hot dogs Luke ate from the number of hot dogs John ate: 3 - 2 = 1.\nJohn ate 1 more hot dog than Luke.\n#### 1\nThe answer is: 1", "answer": {"result": 1.0}}, "matches": true} +{"solution": {"solution": "\n1. **Define Variables and Set Up Equations:**\n\n Let's denote the number of students in the two equal-sized groups as \\( x \\).\n\n According to the problem, the third group has 10 fewer students than each of the two equal-sized groups. \n\n Therefore, the number of students in the third group can be represented as \\( x - 10 \\).\n\n The total number of students in the class is 200. We can set up the equation based on this information:\n\n \\[\n 2x + (x - 10) = 200\n \\]\n\n2. **Combine Like Terms:**\n\n Combine the terms involving \\( x \\) on the left side of the equation:\n\n \\[\n 2x + x - 10 = 200\n \\]\n\n This simplifies to:\n\n \\[\n 3x - 10 = 200\n \\]\n\n3. **Solve for \\( x \\):**\n\n Add 10 to both sides to isolate the term with \\( x \\):\n\n \\[\n 3x - 10 + 10 = 200 + 10\n \\]\n\n Simplifying, we get:\n\n \\[\n 3x = 210\n \\]\n\n Divide both sides by 3 to solve for \\( x \\):\n\n \\[\n x = \\frac{210}{3}\n \\]\n\n Thus:\n\n \\[\n x = 70\n \\]\n\n4. **Determine the Size of the Third Group:**\n\n Now, substitute \\( x = 70 \\) back into the expression for the size of the third group:\n\n \\[\n x - 10 = 70 - 10\n \\]\n\n Therefore:\n\n \\[\n x - 10 = 60\n \\]\n\n### Conclusion:\n\nThe number of students in the third group is:\n\n\\[\n\\boxed{60}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Identify the number of cows**: \n Let the number of cows be \\( c \\). Given the information, the number of chickens is twice the number of cows, so the number of chickens is \\( 2c \\).\n\n2. **Total number of animals**:\n The total number of animals on the farm is 60. Therefore, we can write the equation:\n \\[\n c + 2c = 60\n \\]\n Simplifying this, we get:\n \\[\n 3c = 60 \\implies c = 20\n \\]\n So, Farmer Brown has 20 cows.\n\n3. **Calculate the number of chickens**:\n \\[\n 2c = 2 \\times 20 = 40\n \\]\n Hence, Farmer Brown has 40 chickens.\n\n4. **Legs per animal**:\n - Each cow has 4 legs.\n - Each chicken has 2 legs.\n\n5. **Total number of legs**:\n - Total legs from cows: \\( 20 \\text{ cows} \\times 4 \\text{ legs/cow} = 80 \\text{ legs} \\)\n - Total legs from chickens: \\( 40 \\text{ chickens} \\times 2 \\text{ legs/chicken} = 80 \\text{ legs} \\)\n\n Adding these together gives:\n \\[\n 80 \\text{ legs from cows} + 80 \\text{ legs from chickens} = 160 \\text{ legs}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{160}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Josh starts off juggling 3 balls and adds 1 ball each week for 4 weeks, so after the fourth week, he has 3 + 4 = 7 balls. \n\nHowever, during the talent show, Josh drops 3 balls. Two of these balls are caught by people in the crowd, but one gets lost completely. \n\nSo, Josh is left with 7 - 3 = 4 balls.\n\nSince 2 of the dropped balls were caught, they don't affect the number of balls Josh is left with. Only the one lost ball changes the count.\n\nTherefore, Josh starts juggling on stage with $\\boxed{4}$ balls.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Given:\n- The pink frog weighs 50 pounds.\n- A blue beetle, a green toad, and a red bird all weigh the same as the pink frog.\n- A yellow snake weighs 10 pounds more than the pink frog.\n\n1. Calculate the weight of the blue beetle, green toad, and red bird:\n - Since each weighs the same as the pink frog:\n \\[\n \\text{Weight of blue beetle} = 50 \\, \\text{pounds}\n \\]\n \\[\n \\text{Weight of green toad} = 50 \\, \\text{pounds}\n \\]\n \\[\n \\text{Weight of red bird} = 50 \\, \\text{pounds}\n \\]\n\n2. Calculate the weight of the yellow snake:\n - The yellow snake weighs 10 pounds more than the pink frog:\n \\[\n \\text{Weight of yellow snake} = 50 \\, \\text{pounds} + 10 \\, \\text{pounds} = 60 \\, \\text{pounds}\n \\]\n\n3. Calculate the total weight of all animals:\n - Sum the weights of the pink frog, blue beetle, green toad, red bird, and yellow snake:\n \\[\n \\text{Total weight of animals} = 50 \\, \\text{pounds} + 50 \\, \\text{pounds} + 50 \\, \\text{pounds} + 50 \\, \\text{pounds} + 60 \\, \\text{pounds}\n \\]\n \\[\n \\text{Total weight of animals} = 260 \\, \\text{pounds}\n \\]\n\n4. Include the weight of the container:\n - The container weighs 20 pounds:\n \\[\n \\text{Total weight of container and animals} = 260 \\, \\text{pounds} + 20 \\, \\text{pounds}\n \\]\n \\[\n \\text{Total weight of container and animals} = 280 \\, \\text{pounds}\n \\]\n\n### Conclusion:\nThe total weight of the container carrying one of each animal is:\n\\[\n\\boxed{280}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Laurel's friend gave her 24 baby outfits.\nAt her baby shower, she received twice that amount, so she received 24 * 2 = 48 new baby outfits.\nHer mom also gifted her with 15 baby outfits.\nIn total, Laurel has 24 + 48 + 15 = 87 baby outfits.\n#### 87\nThe answer is: 87", "answer": {"result": 87.0}}, "matches": true} +{"solution": {"solution": "If Tyson runs 5000 meters every day, then 1/5 times more is 1/5 * 5000 = 1000 meters more.\nSo, Tyson's new daily distance is 5000 + 1000 = 6000 meters.\nIn a month, which typically has 30 days, Tyson would cover 6000 * 30 = 180000 meters.\nTherefore, the total distance he covered in June is 180000 meters.\n#### 180000\nThe answer is: 180000", "answer": {"result": 180000.0}}, "matches": true} +{"solution": {"solution": "To find out how much more Juice Box C is than Juice Box B, we first need to determine the individual prices of Juice Box B and Juice Box C.\n\nJuice Box A costs 4 dollars.\nJuice Box B costs 5 dollars more than Juice Box A, so Juice Box B costs:\n4 dollars (A) + 5 dollars = 9 dollars.\n\nJuice Box C costs 7 dollars more than Juice Box A, so Juice Box C costs:\n4 dollars (A) + 7 dollars = 11 dollars.\n\nNow, to find out how much more Juice Box C is than Juice Box B, we subtract the price of Juice Box B from the price of Juice Box C:\n11 dollars (C) - 9 dollars (B) = 2 dollars.\n\nTherefore, Juice Box C is $\\boxed{2}$ dollars more than Juice Box B.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The number of legs on the 40 tables with 4 legs each is 40 * 4 = 160 legs.\nThe number of legs on the 50 tables with 3 legs each is 50 * 3 = 150 legs.\nTherefore, the total number of legs on all the tables is 160 + 150 = 310 legs.\n#### 310\nThe answer is: 310", "answer": {"result": 310.0}}, "matches": true} +{"solution": {"solution": "Jenny's son eats 4 cookies a day for 5 days, so he eats 4 * 5 = 20 cookies.\nJenny's husband eats 1 cookie a day for 7 days, so he eats 1 * 7 = 7 cookies.\n\nThe total number of cookies eaten by Jenny's son and husband is 20 + 7 = 27 cookies.\n\nJenny buys a bag with 36 cookies, and she has already accounted for 27 cookies (eaten by her son and husband).\n\nTo find out how many cookies Jenny eats, we subtract the cookies eaten by her son and husband from the total number of cookies in the bag:\n\n36 cookies in the bag - 27 cookies eaten = 9 cookies.\n\nJenny eats $\\boxed{9}$ cookies.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Each shirt originally cost $30, so the total cost before the discount is $30 x 2 = $60. \n\nIf Davos received a 40% discount, he would save $60 x 40/100 = $24. \n\nTherefore, Davos would only have to pay $60 - $24 = $36 for the 2 shirts. \n\n#### 36\nThe answer is: 36", "answer": {"result": 36.0}}, "matches": true} +{"solution": {"solution": "\nTo find the percentage increase in their daily earnings, we can follow these steps:\n\n1. **Calculate the original daily earnings from selling tractors:**\n The factory used to sell 10 tractors per day at $100 each. Therefore, the daily earnings from selling tractors are:\n \\[\n 10 \\text{ tractors} \\times \\$100/\\text{tractor} = \\$1000\n \\]\n\n2. **Calculate the new daily earnings from selling silos:**\n Now the factory sells 5 silos per day at $220 each. Thus, the daily earnings from selling silos are:\n \\[\n 5 \\text{ silos} \\times \\$220/\\text{silo} = \\$1100\n \\]\n\n3. **Determine the increase in daily earnings:**\n The increase in daily earnings is the difference between the new earnings and the original earnings:\n \\[\n \\$1100 - \\$1000 = \\$100\n \\]\n\n4. **Calculate the percentage increase in daily earnings:**\n The percentage increase in daily earnings is calculated using the formula:\n \\[\n \\text{Percentage Increase} = \\left( \\frac{\\text{Increase}}{\\text{Original}} \\right) \\times 100\\%\n \\]\n Substituting the values:\n \\[\n \\text{Percentage Increase} = \\left( \\frac{\\$100}{\\$1000} \\right) \\times 100\\% = 0.1 \\times 100\\% = 10\\%\n \\]\n\n### Conclusion:\n\nThe factory is making 10% more per day now compared to when they were making tractors.\n\n\\[\n\\boxed{10\\%}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the annual cost of food. \n\nThere are 4 weeks in a month, and food costs $25 per week. So, the monthly cost of food is:\n\n$25/week * 4 weeks/month = $100/month\n\nSince there are 12 months in a year, the annual cost of food is:\n\n$100/month * 12 months/year = $1200/year\n\nNext, let's calculate the annual cost of treats. Treats cost $20 per month. So, the annual cost of treats is:\n\n$20/month * 12 months/year = $240/year\n\nNow, let's calculate the annual cost of medicine. Medicine costs $100 per month. So, the annual cost of medicine is:\n\n$100/month * 12 months/year = $1200/year\n\nFinally, let's add up all the annual costs to find out how much Madeline spends on her dog per year:\n\nAnnual cost of food + Annual cost of treats + Annual cost of medicine\n= $1200 + $240 + $1200\n= $2640\n\nMadeline spends $\\boxed{\\$2640}$ per year on her dog.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the total hours Peyton will spend on her after-work activities, we break down each event and sum them up.\n\n1. **Yoga Class on Monday**: This is given as a one-hour activity.\n\n2. **Cooking Class on Tuesday**: The problem states this class lasts three times as long as Monday's yoga class. Therefore, the duration can be calculated as:\n \\[\n 1\\, \\text{hour} \\times 3 = 3\\, \\text{hours}\n \\]\n\n3. **Cheese-Tasting Event on Wednesday**: This event is a half-hour long, which can be calculated as:\n \\[\n \\frac{1}{2}\\, \\text{hour} = 0.5\\, \\text{hours}\n \\]\n\n4. **Museum Tour on Thursday**: The museum tour takes half as long as the cooking class. Given the cooking class is 3 hours long, the museum tour's duration is:\n \\[\n \\frac{3\\, \\text{hours}}{2} = 1.5\\, \\text{hours}\n \\]\n\n5. **Errands on Friday**: This activity is given as a two-hour commitment.\n\nAdding all these durations together gives the total time spent on activities:\n\\[\n1\\, \\text{hour} + 3\\, \\text{hours} + 0.5\\, \\text{hours} + 1.5\\, \\text{hours} + 2\\, \\text{hours} = 8\\, \\text{hours}\n\\]\n\nTherefore, the total hours Peyton will spend on her after-work activities is $\\boxed{8}$ hours.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nApril needs 30 plant pots for the daisies and twice as many for the roses, so she needs 30 x 2 = 60 plant pots for the roses.\n\nIn total, April needs 30 (for daisies) + 60 (for roses) = 90 plant pots.\n\nApril had already bought 100 plant pots from the garden center, so she had 100 - 90 = 10 plant pots left over.\n\nApril has 10 plant pots left over.\n\n#### 10\nThe answer is: 10", "answer": {"result": 10.0}}, "matches": true} +{"solution": {"solution": "Andrea started with $36. She spent $11 on a sweater and gave her brother $4. \n\nThe total amount spent is $11 (sweater) + $4 (brother) = $15.\n\nTo find out how much Andrea saved, we subtract the total amount spent from her initial amount:\n\n$36 (initial amount) - $15 (total spent) = $21.\n\nAndrea saved $\\boxed{\\$21}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "John spends 6 hours boating. \n\nHe spends half that time swimming, so he spends 6 / 2 = 3 hours swimming.\n\nHe watches 3 shows which are 2 hours each, so he spends 3 * 2 = 6 hours watching shows.\n\nThe time spent watching shows is 30% of his total vacation time, so let's denote his total vacation time as T.\n\n6 hours (watching shows) = 0.30 * T\n\nTo find T, we divide both sides by 0.30:\n\nT = 6 hours / 0.30\nT = 20 hours\n\nJohn spent 40% of his vacation time sightseeing.\n\n40% of T is the time spent sightseeing, so we calculate:\n\n0.40 * T = 0.40 * 20 hours\n0.40 * T = 8 hours\n\nJohn spent $\\boxed{8}$ hours sightseeing.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Annabelle earns $10 per hour for 20 hours of work, so she earns 10 * 20 = $200 from her first job.\n\nShe earns $5 per hour for 15 hours of work at her second job, so she earns 5 * 15 = $75 from her second job.\n\nIn total, Annabelle earns $200 + $75 = $275 from both jobs.\n\nAnnabelle already has $80 in her savings, so the total amount she has now is $80 + $275 = $355.\n\nThe phone costs $400, so Annabelle still needs to save $400 - $355 = $\\boxed{\\$45}$ .\nThe answer is: 45", "answer": {"result": 45.0}}, "matches": true} +{"solution": {"solution": "To solve the problem step by step, we start by identifying the heights of the trees as given:\n\n1. The shortest tree is 6 feet tall.\n2. The second tree is 5 feet taller than the shortest tree, which gives us:\n \\[\n 6 \\, \\text{feet} + 5 \\, \\text{feet} = 11 \\, \\text{feet}.\n \\]\n3. The height of the tallest tree is twice the combined height of the shortest and second trees. Therefore, we calculate the combined height as:\n \\[\n 6 \\, \\text{feet} + 11 \\, \\text{feet} = 17 \\, \\text{feet}.\n \\]\n4. Finally, to find the height of the tallest tree, we double the combined height:\n \\[\n 17 \\, \\text{feet} \\times 2 = 34 \\, \\text{feet}.\n \\]\n\nThus, the height of the tallest tree is $\\boxed{34 \\, \\text{feet}}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Dean spent $2 x 6 = $12 on toy cars.\n\nDean spent $1 x 5 = $5 on teddy bears.\n\nDean spent a total of $12 + $5 = $17 on toys.\n\nHis mother gave him an extra $10, so he now has $28 + $10 = $38.\n\nAfter subtracting the $17 he spent on toys, Dean has $38 - $17 = $21 left.\n\n#### 21\nThe answer is: 21", "answer": {"result": 21.0}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's break down the costs and calculate how much money Morgan will spend on each activity. \n\n1. **Mini-Golf Costs**: \n - Morgan and her friends plan to play one round of mini-golf each. Since a round of mini-golf costs $5, and there are $6 friends (including Morgan), the total cost for mini-golf is calculated as follows:\n \\[\n 6 \\times \\$5 = \\$30\n \\]\n\n2. **Arcade Tokens Costs**: \n - Morgan wants to have $5 in arcade tokens. Since she is sharing the tokens with her 6 friends, each person gets to spend $0.83 on tokens. This is calculated as:\n \\[\n \\$5 \\div 6 = \\$0.83 \\text{ per person}\n \\]\n\n3. **Go-Kart Ride Costs**: \n - Morgan plans to ride the go-karts twice. Each ride costs $10, so the total cost for go-karts is:\n \\[\n 2 \\times \\$10 = \\$20\n \\]\n\n4. **Total Budget Allocation**: \n - Adding up the costs for mini-golf, arcade tokens, and go-karts gives us the total amount Morgan will spend:\n \\[\n \\$30 + \\$20 + \\$5 = \\$55\n \\]\n\n5. **Remaining Budget**: \n - Morgan started with a budget of $90. Subtracting the total amount spent on activities from her initial budget gives us the remaining amount for friends:\n \\[\n \\$90 - \\$55 = \\$35\n \\]\n\n6. **Friends She Can Invite**: \n - Since Morgan has $35 left in her budget and each friend gets $0.83 in tokens, the number of friends she can invite is calculated by dividing the remaining budget by the amount each friend gets:\n \\[\n \\$35 \\div \\$0.83 \\approx 42 \\text{ friends}\n \\]\n\nTherefore, Morgan can invite $\\boxed{42}$ friends to her birthday party.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, we follow these steps:\n\n1. **Calculate the daily cost of lollipops**: Marisa buys 4 lollipops at 25 cents each. The total cost for lollipops per day is calculated as:\n \\[\n 4 \\times 25 \\text{ cents} = 100 \\text{ cents}\n \\]\n\n2. **Determine the remaining money**: Marisa gets $5 per day, which is equivalent to 500 cents (since $1 = 100 \\text{ cents}$). After buying the lollipops, she saves the remaining money from her pocket money. The amount saved each day is:\n \\[\n 500 \\text{ cents} - 100 \\text{ cents} = 400 \\text{ cents}\n \\]\n\n3. **Calculate the total amount saved over 5 days**: To find out how much Marisa saves in her piggy bank over 5 days, we multiply the daily savings by 5:\n \\[\n 400 \\text{ cents} \\times 5 = 2000 \\text{ cents}\n \\]\n\n4. **Convert the total cents to dollars**: Since we want the result in dollars, we convert 2000 cents to dollars:\n \\[\n 2000 \\text{ cents} = \\$20\n \\]\n\nTherefore, the total amount of money Marisa puts in her piggy bank over 5 days is $\\boxed{\\$20}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Billy starts with $10 and the candy costs $1.5 per pound. \n\nFirst, let's find out how much money he has left after buying candy. \n\nHe buys 40 gumballs at $0.05 each, so the cost for gumballs is:\n40 gumballs * $0.05/gumball = $2\n\nSince he takes half his remaining change to buy gumballs, let's find out his total remaining money before buying gumballs. If $2 is half his change, then he had $4 before buying gumballs.\n\nNow, let's find out how much money he spent on candy. He started with $10 and had $4 left after buying candy and gumballs, so he spent:\n$10 - $4 = $6 on candy\n\nTo find out how many pounds of candy he bought, we divide the total amount spent on candy by the cost per pound:\n$6 / $1.5/pound = 4 pounds\n\nSo, Billy bought $\\boxed{4}$ pounds of candy.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's assume the son's age is x years.\nAccording to the given information, Carver is 5 years less than twice the age of his son.\nSo, Carver's age can be represented as 2x - 5.\nWe know that Carver just turned 45 years old.\nTherefore, we can set up the equation 2x - 5 = 45.\nTo solve for x, we add 5 to both sides of the equation: 2x = 50.\nThen, we divide both sides of the equation by 2: x = 25.\nSo, Carver's son is 25 years old.\n#### 25\nThe answer is: 25", "answer": {"result": 25.0}}, "matches": true} +{"solution": {"solution": "To find out how many days the train goes between services, we first need to calculate the total distance the train travels in one round trip between all three cities. \n\n1. Calculate the distance from the third city back to the first city:\n - The train goes from the third city to the first city 50 miles less than the combined distance from the second city to the third city and from the first city to the second city.\n - Combined distance = 75 miles + 100 miles = 175 miles.\n - Distance from third to first city = 175 miles - 50 miles = 125 miles.\n\n2. Calculate the total distance for one round trip:\n - Round trip distance = Distance from first to second + Distance from second to third + Distance from third to first.\n - Round trip distance = 75 miles + 100 miles + 125 miles = 300 miles.\n\n3. Calculate the total daily distance the train travels:\n - The train makes 3 round trips per day, so daily distance = 300 miles * 3 = 900 miles.\n\n4. Determine how many days it takes to reach 18,000 miles for a service:\n - Days between services = Total miles for service / Daily distance.\n - Days between services = 18,000 miles / 900 miles per day = 20 days.\n\nTherefore, the train needs service every $\\boxed{20}$ days.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "A bed for a collie takes the average amount of stuffing between a Rottweiler bed and a Chihuahua bed, which is (8 + 2) / 2 = 5 pounds of stuffing.\n\nMark needs 2 pounds of stuffing for each Chihuahua bed, so for 4 Chihuahua beds, he needs 4 * 2 = 8 pounds of stuffing.\n\nFor 3 collie beds, he needs 3 * 5 = 15 pounds of stuffing.\n\nIn total, Mark needs 8 (for Chihuahua beds) + 15 (for collie beds) = $\\boxed{23}$ pounds of stuffing.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nJohn drives 200 miles to his friend's house at a speed of 70 mph, so the time it takes is 200 miles / 70 mph = 2.857 hours.\n\nHe then takes a detour that adds 10 miles to his trip, making the total distance 200 miles + 10 miles = 210 miles. \n\nAt a speed of 70 mph, the time it takes for the detour is 10 miles / 70 mph = 0.143 hours. \n\nSo the total time for the trip to his friend's house is 2.857 hours + 0.143 hours = 3 hours. \n\nOn the way back, John drives 240 miles at a speed of 80 mph, so the time it takes is 240 miles / 80 mph = 3 hours. \n\nTherefore, the total time for the entire trip is 3 hours + 3 hours = 6 hours. \n\n#### 6\nThe answer is: 6", "answer": {"result": 6.0}}, "matches": true} +{"solution": {"solution": "First, let's find out the total number of boys in the fourth grade at Small Tree School. We know there are 96 fourth-graders in total and 43 of them are girls. So, the number of boys would be:\n\nNumber of boys = Total number of fourth-graders - Number of girls\nNumber of boys = 96 - 43\nNumber of boys = 53\n\nNow, let's find out how many boys were absent on Friday. We know that 5 girls were absent, so we can subtract that from the total number of girls to find out how many girls were present:\n\nNumber of girls present = Total number of girls - Number of girls absent\nNumber of girls present = 43 - 5\nNumber of girls present = 38\n\nSince we know the total number of fourth-graders present is the sum of the girls and boys present, we can find out how many boys were present by subtracting the number of girls present from the total number of fourth-graders present. However, we don't need to calculate this explicitly because we already know the total number of boys in the fourth grade (53). Therefore, the number of boys present on Friday is:\n\nNumber of boys present = Total number of boys\nNumber of boys present = 53\n\nSo, there were 53 fourth-grade boys at Small Tree School on Friday.\n\nThe number of fourth-grade boys at Small Tree School on Friday was 53.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If there are 6 girls in the park, and there are twice the number of boys, then there are 2 * 6 = 12 boys in the park. \n\nTo find the total number of kids in the park, we add the number of girls and boys together: 6 girls + 12 boys = 18 kids. \n\nSo, there are $\\boxed{18}$ kids in the park.The answer is: 18", "answer": {"result": 18.0}}, "matches": true} +{"solution": {"solution": "To determine the minimum number of points Jane must score on the third test to pass, we start by calculating the total points she has scored on the first two tests:\n\n- On her first test, Jane scored 15 points.\n- On her second test, Jane scored 18 points.\n\nAdding these scores together gives us the total points from the first two tests:\n\\[15 + 18 = 33\\]\n\nJane needs to score a total of at least 42 points across all three tests to pass. Therefore, the minimum points she must score on the third test to meet this requirement is calculated by subtracting the total points from the first two tests from the target total:\n\\[42 - 33 = 9\\]\n\nThus, Jane must score at least $\\boxed{9}$ points on her third test to pass.The answer is: 9", "answer": {"result": 9.0}}, "matches": true} +{"solution": {"solution": "Let's break down the problem step by step, following the information given:\n\n1. **Customers Kicked Out for Not Wearing Masks**: It's given that 3 customers were kicked out for refusing to wear masks.\n\n2. **Customers Kicked Out for Shoplifting**: The number of shoplifters is four times the number of maskless customers minus 5. So, we calculate this as:\n $$4 \\times 3 - 5 = 12 - 5 = 7$$\n Therefore, 7 customers were kicked out for shoplifting.\n\n3. **Customers Kicked Out for Physical Violence**: It's stated that three times the number of shoplifters were kicked out for physical violence. Thus, we calculate:\n $$3 \\times 7 = 21$$\n Hence, 21 customers were kicked out for physical violence.\n\n4. **Total Customers Kicked Out**: We know the total number of people kicked out is 50. We need to find out how many were kicked out for other reasons. To do this, we subtract the number of customers kicked out for not wearing masks, shoplifting, and physical violence from the total.\n\n5. **Calculating Other Reasons**:\n $$50 - 3 - 7 - 21 = 50 - 31 = 19$$\n\nTherefore, the number of customers kicked out for other reasons is $\\boxed{19}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nIf Erin now has three times more points than Sara, who scored 8 points, then Erin has 8 * 3 = <<8*3=24>>24 points.\n\nSince Erin now has 24 points and scored 14 points, she had 24 - 14 = <<24-14=10>>10 points before.\n\n#### 10\nThe answer is: 10", "answer": {"result": 10.0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the cost of the picture frames. There are 44 seniors, and each frame costs $20, so the total cost for the frames is:\n\n44 seniors * $20/frame = $880\n\nNext, we need to calculate the cost of etching the logo on each frame. The logo etching adds an additional 20% to the cost of each frame. So, the cost of etching for each frame is:\n\n20% of $20 = 0.20 * $20 = $4\n\nThe cost for etching all 44 frames is:\n\n44 frames * $4/frame = $176\n\nNow, let's add the cost of the picture frames and the etching to find the total cost for the frames:\n\n$880 (frames) + $176 (etching) = $1056\n\nNext, we calculate the cost of the pins. Two seniors will receive a pin, and each pin costs $5. So, the total cost for the pins is:\n\n2 pins * $5/pin = $10\n\nNow, we need to find out how many seniors are officers. It's given that 1/4 of the seniors are officers, so:\n\n1/4 of 44 seniors = 44/4 = 11 officers\n\nThe cost for the cords for the officers is:\n\n11 officers * $12/cord = $132\n\nFinally, we add up all the costs to find the total cost for the senior gifts:\n\n$1056 (frames and etching) + $10 (pins) + $132 (cords) = $1198\n\nTherefore, the total amount spent on the senior gifts is $\\boxed{\\$1198}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Ethan makes his own hand-painted wallpaper, he saves 20% of the original cost. \n\nFirst, we calculate the savings:\n20% of $400 = 0.20 * $400 = $80\n\nNow, we subtract the savings from the original cost to find the total cost of Ethan's DIY hand-painted wallpaper:\n$400 - $80 = $320\n\nTherefore, the total cost of Ethan's DIY hand-painted wallpaper is $\\boxed{\\$320}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "On Friday, the store sold 14 pairs of tennis shoes.\n\nOn Saturday, they sold double that number, which is 14 x 2 = 28 pairs of tennis shoes.\n\nOn Sunday, they sold one-half the amount they sold on Saturday, which is 28 / 2 = 14 pairs of tennis shoes.\n\nHowever, six people returned their pairs, so we need to subtract those from the Sunday sales.\n\nTherefore, the total number of tennis shoes sold by the end of the sale is 14 (Friday) + 28 (Saturday) + 14 (Sunday) - 6 (returns) = 50 pairs of tennis shoes.\n\n#### 50\nThe answer is: 50", "answer": {"result": 50.0}}, "matches": true} +{"solution": {"solution": "Hallie had dance practice for 1 hour on Tuesdays and 2 hours on Thursdays. \n\nOn Tuesdays, she had 1 hour of practice.\nOn Thursdays, she had 2 hours of practice.\n\nOn Saturdays, her practice lasted twice as long as Tuesday's night class. So, it was 1 hour * 2 = 2 hours.\n\nTo find the total hours of dance practice in a week, we add the hours from each day:\n1 (Tuesday) + 2 (Thursday) + 2 (Saturday) = 5 hours.\n\nHallie had a total of $\\boxed{5}$ hours of dance practice per week.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If the company bought $400000 worth of equipment and 40% of it was faulty, then the amount spent on faulty pieces of equipment is 40/100 * $400000 = $160000.\n\nTo find the amount spent on functioning pieces of equipment, we subtract the amount spent on faulty equipment from the total amount spent: $400000 - $160000 = $240000.\n\nSo, the total amount of money spent on functioning pieces of equipment is $240000.\n\n#### 240000\nThe answer is: 240000", "answer": {"result": 240000.0}}, "matches": true} +{"solution": {"solution": "Mary has 30 sheep, and she gets 1 kg of milk from half of them, which is 30/2 = 15 sheep.\nShe also gets 2 kg of milk from the other half, which is also 15 sheep.\nSo, she collects 15 * 1 kg + 15 * 2 kg = 15 kg + 30 kg = 45 kg of milk every day.\n#### 45\nThe answer is: 45", "answer": {"result": 45.0}}, "matches": true} +{"solution": {"solution": "\nA dozen rolls is equal to 12 rolls. \nAfter feeding her 6 children with one each, she had 12 - 6 = 6 rolls remaining. \nShe broke each of the remaining rolls into 8 pieces, so she fed the chickens 6 x 8 = 48 pieces of rolls. \n#### 48\nThe answer is: 48", "answer": {"result": 48.0}}, "matches": true} +{"solution": {"solution": "Half of the class, which is 40/2 = 20 pupils, likes blue.\nThe remaining pupils are 40 - 20 = 20.\nOne-fourth of the remaining pupils, which is 20/4 = 5 pupils, likes green.\nTherefore, the rest, which is 20 - 5 = 15 pupils, likes yellow.\nSo, 15 pupils like the color yellow.\n#### 15\nThe answer is: 15", "answer": {"result": 15.0}}, "matches": true} +{"solution": {"solution": "If Lucy sold all the apples picked on Monday for $56, then she sold $56/$4 = 14 apples on that day. \n\nOn Tuesday, she picked 12 apples. \n\nOn Wednesday, she picked double the number of apples she did on Tuesday, which is 12 x 2 = 24 apples. \n\nIn total, Lucy picked 14 + 12 + 24 = $\\boxed{50}$ apples over the three days.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Lindsay has washed 10 pairs of socks, which means she has washed 10 x 2 = 20 socks in pairs. \n\nShe has also washed 15 loose socks. \n\nSo in total, she has washed 20 (from pairs) + 15 (loose) = 35 socks. \n\nSince she initially had 50 socks that needed washing, the number of socks she has missed is 50 - 35 = $\\boxed{15}$ socks.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Rachel originally had 23 cookies.\nJanet gave her 42 cookies, so she had a total of 23 + 42 = 65 cookies.\nHer brother ate 44 of those cookies, so she has 65 - 44 = 21 cookies left.\n#### 21\nThe answer is: 21", "answer": {"result": 21.0}}, "matches": true} +{"solution": {"solution": "To find out how much Karan has to pay each month, we need to calculate the monthly interest and add it to the principal amount.\n\nFirst, let's convert the annual interest rate to a monthly rate by dividing it by 12:\n10% / 12 = 0.8333% (or 0.008333 as a decimal)\n\nNext, we calculate the monthly interest by multiplying the principal amount by the monthly interest rate:\n$3,650 * 0.008333 = $30.45\n\nNow, we add the monthly interest to the principal amount to find out the total amount Karan has to pay each month:\n$3,650 + $30.45 = $3,680.45\n\nSo, Karan has to pay $3,680.45 every month for five months to pay off her loan with interest.\n\nTo find out the total amount she will pay over the five months, we multiply the monthly payment by the number of months:\n$3,680.45 * 5 = $18,402.25\n\nKeep in mind that this total amount includes the interest accrued over the five-month period. If Karan were to pay off the loan early, she would pay less than $18,402.25.\n\nThe final answer is $3,680.45 per month.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the distance Cho hiked:\nCho's speed = 14 kilometers per hour\nCho's time = 8 hours\nDistance Cho hiked = Cho's speed * Cho's time\nDistance Cho hiked = 14 km/h * 8 h = 112 kilometers\n\nNow, let's calculate the distance Chloe hiked:\nChloe's speed = 9 kilometers per hour\nChloe's time = 5 hours\nDistance Chloe hiked = Chloe's speed * Chloe's time\nDistance Chloe hiked = 9 km/h * 5 h = 45 kilometers\n\nTo find out how many kilometers farther Cho hiked, we subtract the distance Chloe hiked from the distance Cho hiked:\nDistance Cho hiked - Distance Chloe hiked = 112 km - 45 km = 67 kilometers\n\nCho hiked $\\boxed{67}$ kilometers farther.The answer is: 67", "answer": {"result": 67.0}}, "matches": true} +{"solution": {"solution": "Axel has 50 silver pesos and Anna has twice as many, so Anna has 50 * 2 = 100 silver pesos.\nAxel has 80 gold pesos and Anna has 40 more gold pesos, so Anna has 80 + 40 = 120 gold pesos.\nThe total number of silver pesos they have together is 50 + 100 = 150 silver pesos.\nThe total number of gold pesos they have together is 80 + 120 = 200 gold pesos.\nTherefore, the total number of pesos they have together is 150 + 200 = 350 pesos.\n#### 350\nThe answer is: 350", "answer": {"result": 350.0}}, "matches": true} +{"solution": {"solution": "\nMillie spends $18 to buy enough supplies to make 3 pitchers of lemonade. Each pitcher holds 12 cups of lemonade, so she can make 3 x 12 = 36 cups of lemonade.\n\nShe sells each cup of lemonade for $1, so if she sells all of the lemonade, she will make 36 cups x $1/cup = $36.\n\nMillie sells an average of 4 cups per hour, so if she sells all of the lemonade, she will sell 36 cups / 4 cups per hour = 9 hours of lemonade.\n\nTo calculate her profit per hour, we need to subtract her expenses from her revenue. Her expenses are $18, and her revenue is $36.\n\nHer profit is $36 - $18 = $18.\n\nSince she sells 4 cups per hour, her profit per hour is $18 / 9 hours = $2.\n\nSo, Millie will make a profit of $2 per hour that she spends running the lemonade stand.\n\n#### 2\nThe answer is: 2", "answer": {"result": 2.0}}, "matches": true} +{"solution": {"solution": "\nIf Mr. Ruther sold 3/5 of his land and had 12.8 hectares left, then 3/5 of his land is equal to 12.8 hectares.\n\nTo find the total amount of land he had at first, we need to divide 12.8 hectares by 3/5.\n\n12.8 hectares / (3/5) = 12.8 hectares * (5/3) = 21.3333 hectares\n\nSo, Mr. Ruther had 21.3333 hectares of land at first.\n\n#### 21.3333\nThe answer is: 21.3333", "answer": {"result": 21.3333}}, "matches": false} +{"solution": {"solution": "The choir has 52 members, and 50% of them are girls, so there are 52 * 0.50 = 26 girls in the choir.\nHalf of the girls can't make it to the performance, so only 26 / 2 = 13 girls are able to perform.\nThe choir's 3 teachers also decide to sing with them, so there are 13 + 3 = 16 people who are able to sing in the performance.\n#### 16\nThe answer is: 16", "answer": {"result": 16.0}}, "matches": true} +{"solution": {"solution": "To calculate Wilson's current math grade, we need to find the average of his 5 test scores. \n\nFirst, we add up all the test scores: 65 + 94 + 81 + 86 + 74 = 400\n\nNext, we divide the total by the number of tests to find the average: 400 / 5 = 80\n\nTherefore, Wilson's current math grade is 80. \n\n#### 80\nThe answer is: 80", "answer": {"result": 80.0}}, "matches": true} +{"solution": {"solution": "To find the total cost, we first calculate the cost of the erasers and the pencils separately, and then add them together.\n\n1. Calculate the cost of 6 erasers:\n\\[ \\text{Cost of 6 erasers} = 6 \\times 2 = \\$12 \\]\n\n2. Calculate the cost of 8 pencils:\n\\[ \\text{Cost of 8 pencils} = 8 \\times 3 = \\$24 \\]\n\n3. Add the cost of the erasers and pencils:\n\\[ \\text{Total cost} = \\$12 + \\$24 = \\$36 \\]\n\nTherefore, the total cost for 6 erasers and 8 pencils is $\\boxed{\\$36}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, calculate the number of messages James delivers to Mr. Yu, which is 1/3 of the messages he delivers to Ms. Thompson. Given that he delivers 66 messages to Ms. Thompson, the calculation for Mr. Yu's messages is:\n\\[ \\frac{1}{3} \\times 66 = 22 \\text{ messages} \\]\n\nNext, add the messages delivered to both teachers to find the total number of messages James delivers:\n\\[ 66 + 22 = 88 \\text{ messages} \\]\n\nThus, the total number of messages James delivers is $\\boxed{88}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "David buys a ride bracelet for $30, which gives him 9 rides. \n\nDasha buys tickets for each ride, and each ride costs 2 tickets at $2 per ticket. So, each ride costs 2 * $2 = $4. \n\nSince they both ride all 9 rides, Dasha will spend 9 * $4 = $36 on tickets.\n\nDavid saves the difference between the cost of the bracelet and the cost of the tickets for Dasha. \n\nDavid saves $36 (Dasha's cost) - $30 (David's cost) = $\\boxed{\\$6}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Monica has a total of 6 gifts for family + 4 gifts for friends + 2 gifts for teachers = 12 gifts to wrap.\n\nShe has 144 inches of ribbon and wants to make a bow for each gift, so she needs to divide the total amount of ribbon by the number of gifts to find out how much ribbon she can use for each bow.\n\n144 inches of ribbon \u00f7 12 gifts = 12 inches of ribbon per bow.\n\nTherefore, Monica can use $\\boxed{12}$ inches of ribbon for each gift bow.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how many more popsicles Sam has than Betty, we first need to determine the number of popsicles each person has based on their ratio.\n\nThe ratio of popsicles between Betty and Sam is 5:6. This means for every 5 popsicles Betty has, Sam has 6. To find out how many sets of 5:6 popsicles there are in total, we divide the total number of popsicles by the sum of the parts of the ratio (5 + 6 = 11):\n\n165 \u00f7 11 = 15\n\nThis means there are 15 sets of 5:6 popsicles. Now we can find out how many popsicles each person has:\n\nBetty's popsicles = 5 parts per set \u00d7 15 sets = 75 popsicles\nSam's popsicles = 6 parts per set \u00d7 15 sets = 90 popsicles\n\nTo find out how many more popsicles Sam has than Betty, we subtract the number of popsicles Betty has from the number Sam has:\n\n90 (Sam's popsicles) - 75 (Betty's popsicles) = 15\n\nSam has $15$ more popsicles than Betty.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the cost of the streaming services after the bundle discount. \n\nThe cost of Hulu and Disney Plus without the bundle discount would be:\n$10 (Hulu) + $10 (Disney Plus) = $20 per month\n\nWith a 20% discount for bundling, the cost would be:\n20% of $20 = $4\n\nSo, the discounted cost for Hulu and Disney Plus combined is:\n$20 - $4 = $16 per month\n\nNow, let's add the cost of Netflix to the discounted streaming bundle:\n$10 (Netflix) + $16 (Hulu + Disney Plus bundle) = $26 per month\n\nTim was previously paying $60 for his cable subscription. Now, he pays $26 for the streaming services. \n\nThe amount he saves per month is:\n$60 (cable) - $26 (streaming) = $34\n\nTherefore, Tim saves $\\boxed{\\$34}$ per month by canceling his cable package and opting for the streaming services.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nFirst, let's convert all the time spent into minutes for easier calculation. \n\n- Writing the song: 4 hours = 4 * 60 = 240 minutes.\n- Recording the song: Half of the writing time = 240 / 2 = 120 minutes.\n- Editing the song: 90 minutes.\n\nNow, let's add up all the time spent:\n\nTotal work time = 240 (writing) + 120 (recording) + 90 (editing) = 450 minutes.\n\nNext, we calculate the percentage of time spent editing:\n\nPercentage of time spent editing = (Time spent editing / Total work time) * 100%\n= (90 / 450) * 100%\n= 0.2 * 100%\n= 20%\n\nSo, Carol spent $\\boxed{20\\%}$ of her total work time editing the song.\n\nAnswer: 20", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the number of books Wendy needs, we first calculate double the number of books in a single row or column, which is $6 \\times 2 = 12$ books. Then, we add 20 more books to this, resulting in $12 + 20 = 32$ books per row or column. \n\nSince the shelving system has 6 rows, we multiply the number of books per row or column by the number of rows to find the total number of books needed: $32 \\times 6 = 192$ books. \n\nTherefore, Wendy needs to carry $\\boxed{192}$ books to complete her task.The answer is: 192", "answer": {"result": 192.0}}, "matches": false} +{"solution": {"solution": "Erica made 20 Valentine's cards and her dad brought her 2 boxes, each with 15 cards, so she had 20 + (2 * 15) = 50 Valentine's cards in total. \n\nShe passed out 24 cards to her classmates and 5 cards to her family, so she gave away a total of 24 + 5 = 29 cards.\n\nShe also received 17 cards from family and friends. \n\nTo find out how many cards Erica has now, we subtract the number of cards she gave away and the number she received from her initial total:\n\n50 - 29 (given away) - 17 (received) = 50 - 46 = 4 cards.\n\nErica now has $\\boxed{4}$ Valentine's cards left.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. Jenny initially has 12 slices of pizza.\n2. She gives Bill 1/3 of the pizza: \n \\[\n \\frac{1}{3} \\times 12 = 4 \\text{ slices}\n \\]\n3. She gives Mark 1/4 of the pizza:\n \\[\n \\frac{1}{4} \\times 12 = 3 \\text{ slices}\n \\]\n4. Total slices given away:\n \\[\n 4 + 3 = 7 \\text{ slices}\n \\]\n5. Slices left after giving away to Bill and Mark:\n \\[\n 12 - 7 = 5 \\text{ slices}\n \\]\n6. Jenny eats 2 slices:\n \\[\n 5 - 2 = 3 \\text{ slices}\n \\]\n7. Therefore, the number of slices left is:\n \\[\n \\boxed{3}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how many days Mark needs to save his money, we first need to determine how much money he needs to save in total. \n\nMark wants to buy a bike that costs $300. He currently has $50 in his bank account. So, he needs to save an additional amount of $300 - $50 = $250.\n\nSince Mark earns $10 per day at his work, we can calculate the number of days he needs to save by dividing the total amount he needs to save by his daily earnings.\n\nNumber of days = Total amount to save / Daily earnings\nNumber of days = $250 / $10\nNumber of days = 25\n\nTherefore, Mark needs to save his money for $\\boxed{25}$ days to buy the bike.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's find out how many millipedes Nancy saw. Since there are 1/3 as many millipedes as spiders, we calculate:\n\nMillipedes = 1/3 * Spiders\nMillipedes = 1/3 * 90\nMillipedes = 30\n\nNext, let's find out how many stink bugs she saw. The number of stink bugs is equal to twice the number of millipedes minus 12:\n\nStink Bugs = 2 * Millipedes - 12\nStink Bugs = 2 * 30 - 12\nStink Bugs = 60 - 12\nStink Bugs = 48\n\nNow, let's add up all the bugs she counted:\n\nTotal Bugs = Spiders + Millipedes + Stink Bugs\nTotal Bugs = 90 + 30 + 48\nTotal Bugs = 168\n\nNancy counted a total of $\\boxed{168}$ bugs in her woodshed.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Erica is 30 years old, then Beth is 30 + 5 = 35 years old.\nSince Alice is 7 years older than Beth, Alice is 35 + 7 = 42 years old.\nThe difference between the ages of Alice and Erica is 42 - 30 = 12 years.\n#### 12\nThe answer is: 12", "answer": {"result": 12.0}}, "matches": true} +{"solution": {"solution": "John drinks 2 glasses of milk, so he consumes 2 * 8 = 16 ounces of milk.\n\nSince milk has 3 calories per ounce, the total number of calories John consumed is 16 * 3 = $\\boxed{48}$ calories.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The builder works for 4 weeks every month and for 6 days every week. \n\nIn a month, there are 4 weeks * 6 days = 24 days. \n\nIn a year, there are 12 months, so the builder works for 12 months * 24 days = 288 days. \n\nIf he gets paid $50 every day, then in a year, he earns 288 days * $50/day = $14,400. \n\n#### 14400\nThe answer is: 14400", "answer": {"result": 14400.0}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's break down the requirements and calculations step by step:\n\n1. **Calculating the amount of flour needed**: The normal recipe calls for 3 cups of flour. Since Mark is making a quadruple batch, we multiply the amount of flour by 4.\n\\[3 \\, \\text{cups} \\times 4 = 12 \\, \\text{cups}\\]\n\n2. **Finding out how many bags of flour are needed**: Flour is sold in 2-cup bags. To find out how many bags Mark needs, we divide the total amount of flour required by the amount of flour in each bag.\n\\[12 \\, \\text{cups} \\div 2 \\, \\text{cups/bag} = 6 \\, \\text{bags}\\]\n\n3. **Calculating the amount of milk needed**: The recipe calls for 1 cup of milk, and since Mark is making a quadruple batch, we multiply this amount by 4.\n\\[1 \\, \\text{cup} \\times 4 = 4 \\, \\text{cups}\\]\n\n4. **Determining the number of bottles of milk needed**: Milk is sold in 2-cup bottles. To find out how many bottles Mark needs, we divide the total amount of milk required by the amount of milk in each bottle.\n\\[4 \\, \\text{cups} \\div 2 \\, \\text{cups/bottle} = 2 \\, \\text{bottles}\\]\n\n5. **Finding the difference in the number of bags and bottles**: To find out how many more bags of flour Mark needs to buy than bottles of milk, we subtract the number of bottles of milk from the number of bags of flour.\n\\[6 \\, \\text{bags} - 2 \\, \\text{bottles} = 4 \\, \\text{more bags of flour}\\]\n\nTherefore, Mark needs to buy $\\boxed{4}$ more bags of flour than bottles of milk.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nFirst, let's calculate the daily energy consumption of the air conditioner. Since the AC uses 900 watts per hour and Mel uses it for 8 hours a day, the daily energy consumption is:\n\n900 watts/hour * 8 hours/day = 7200 watts/day\n\nNow, let's find out how many kilowatts this is. Since 1 kilowatt is equal to 1000 watts, the daily energy consumption in kilowatts is:\n\n7200 watts/day / 1000 watts/kilowatt = 7.2 kilowatts/day\n\nNext, let's calculate the reduced time Mel uses the air conditioner. He reduces it by 5 hours a day, so the new usage is:\n\n8 hours/day - 5 hours/day = 3 hours/day\n\nNow, let's find out the reduced daily energy consumption:\n\n900 watts/hour * 3 hours/day = 2700 watts/day\n\nConverting this to kilowatts, we get:\n\n2700 watts/day / 1000 watts/kilowatt = 2.7 kilowatts/day\n\nTo find out how many kilowatts Mel saves per day by reducing his usage, we subtract the reduced daily energy consumption from the original daily energy consumption:\n\n7.2 kilowatts/day - 2.7 kilowatts/day = 4.5 kilowatts/day\n\nFinally, to find out how many kilowatts Mel saves in 30 days, we multiply the daily savings by 30:\n\n4.5 kilowatts/day * 30 days = 135 kilowatts\n\nSo, Mel will save 135 kilowatts of electric energy in 30 days by reducing his air conditioner usage.\n\nAnswer: 135", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Jane counts two zebras with 17 stripes each, so that's 2 zebras x 17 stripes/zebra = 34 stripes.\nThere's also a zebra with 36 stripes.\nThe last zebra has half the stripes of the zebra with 36 stripes, so that's 36 stripes / 2 = 18 stripes.\nNow, let's add up all the stripes: 34 stripes + 36 stripes + 18 stripes = 88 stripes.\nTo find the average, we divide the total number of stripes by the number of zebras: 88 stripes / 4 zebras = 22 stripes per zebra.\nSo, the zebras have an average of 22 stripes each.\n#### 22\nThe answer is: 22", "answer": {"result": 22.0}}, "matches": true} +{"solution": {"solution": "Each sandwich requires 1 pound of meat and 1 pound of cheese, so for 20 people, Tyson would need 20 sandwiches.\nSince each sandwich serves 4 people, Tyson would need 20 / 4 = 5 sandwiches.\nFor each sandwich, Tyson would need 1 pound of meat and 1 pound of cheese, so he would need 5 * 1 = 5 pounds of meat and 5 pounds of cheese.\nThe meat would cost $7.00 per pound, so 5 pounds of meat would cost 5 * $7.00 = $35.00.\nThe cheese would cost $3.00 per pound, so 5 pounds of cheese would cost 5 * $3.00 = $15.00.\nTherefore, Tyson would spend $35.00 + $15.00 = $50.00 on the meat and cheese to make enough sandwiches to serve 20 people.\n#### 50\nThe answer is: 50", "answer": {"result": 50.0}}, "matches": true} +{"solution": {"solution": "If Allan has twice as much corn as cannolis, and he has 40 cannolis, then he has 2 * 40 = 80 corn.\n\nAfter buying 60 more cannolis at the store, Allan will have 40 + 60 = 100 cannolis in total.\n\nHe bought 40 fewer corns than the number of cannolis, which is 100 - 40 = 60 corns.\n\nSo, the combined total of the number of corns and cannolis Allan has in the house is 60 (corns) + 100 (cannolis) = $\\boxed{160}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Elliott finished half of his steps on his walks to and from school, so he took 10,000 / 2 = 5,000 steps on each walk. \n\nHe also did another 1,000 steps going for a short walk with his friend.\n\nAfter these, he had 1,000 + 5,000 + 5,000 = 11,000 steps.\n\nHe then went for a short jog and had 2,000 steps left to take.\n\nThis means he took 11,000 - 2,000 = 9,000 steps during his jog.\n\n#### 9000\nThe answer is: 9000", "answer": {"result": 9000.0}}, "matches": false} +{"solution": {"solution": "\n\nTo find out how many minutes Toby will be early, I need to calculate how long it will take him to finish the book and then subtract that from the time he has until he needs to leave.\n\nTo calculate how long it will take him to finish the book, I need to find out how many words are in the book and then divide that by his reading rate.\n\nThe book is 45 pages long and each page has an average of 200 words, so the total number of words in the book is 45 * 200 = 9000 words.\n\nToby can read at a rate of 300 words per minute, so it will take him 9000 / 300 = 30 minutes to finish the book.\n\nToby needs to leave 10 minutes before he needs to be at the airport, which is 60 minutes, so he has 60 - 10 = 50 minutes to spare.\n\nSince it will take him 30 minutes to finish the book, he will be 50 - 30 = 20 minutes early.\n\nSo Toby will be 20 minutes early.\n\nAnswer:\n\n20", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "In May, the company hired 40 employees, and each employee worked for a 40-hour workweek at a rate of $15 per hour. \nSo, the total hours worked by each employee in May is 40 hours/week * 4 weeks = 160 hours.\nThe total amount paid to each employee in May is 160 hours * $15/hour = $2400.\nSince there were 40 employees, the total amount paid to all employees in May is 40 employees * $2400/employee = $96000.\nIn June, 1/4 of the employees' contracts expired, so the number of employees remaining is 40 employees - (1/4 * 40 employees) = 40 employees - 10 employees = 30 employees.\nEach employee still worked a 40-hour workweek at the same rate of $15 per hour, so the total hours worked by each employee in June is 40 hours/week * 4 weeks = 160 hours.\nThe total amount paid to each employee in June is 160 hours * $15/hour = $2400.\nSince there were 30 employees remaining, the total amount paid to all employees in June is 30 employees * $2400/employee = $72000.\nTherefore, the total amount of money the company paid to the employees in the two months is $96000 + $72000 = $168000.\n#### 168000\nThe answer is: 168000", "answer": {"result": 168000.0}}, "matches": true} +{"solution": {"solution": "First, let's calculate the cost of the taffy. Since Sally is buying 2 pounds, she gets 1 pound at full price and 1 pound at half price. \n\nThe full-price pound of taffy costs $3. \n\nThe half-price pound of taffy costs $3 / 2 = $1.50.\n\nSo, the total cost for the taffy is $3 + $1.50 = $4.50.\n\nNext, let's calculate the cost of the magnets. There are 4 magnets at $0.25 each, so the total cost for the magnets is 4 * $0.25 = $1.\n\nNow, let's add up all the costs:\nCost of taffy: $4.50\nCost of seashells: $1.50\nCost of magnets: $1\n\nTotal cost = $4.50 + $1.50 + $1 = $7.00\n\nSally started with $10, so the amount of money she has left is:\n$10 - $7.00 = $3.00\n\nSally has $\\boxed{\\$3.00}$ left.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The first pack of fireworks costs $400, and the second pack costs twice that amount, so $400 * 2 = $800.\n\nThe total cost of the two packs before the discount is $400 + $800 = $1200.\n\nTim gets a 20% discount on the $1200, which is 20/100 * $1200 = $240.\n\nSo, the discounted price of the two packs is $1200 - $240 = $960.\n\nHe also buys a finale firework for $150.\n\nTherefore, the total amount Tim spent is $960 + $150 = $\\boxed{\\$1110}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Shannon eats 2 madeleine cookies per night. \n\nTo find out how many cookies she needs for 30 days, we multiply the number of cookies she eats per day by the number of days:\n\n2 cookies/night * 30 nights = 60 cookies\n\nSince her recipe makes 1 dozen (12) cookies, we divide the total number of cookies needed by the number of cookies in a dozen to find out how many dozens she needs:\n\n60 cookies / 12 cookies/dozen = 5 dozens\n\nShannon will need to make $\\boxed{5}$ dozens of madeleine cookies to last her for 30 days.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": ": \n\n1. **Determine the number of dangerous candles:**\n - The problem states that 5% of the candles are dangerous.\n - Given that Marcy makes 50,000 candles, the number of dangerous candles is calculated as follows:\n \\[\n 50000 \\times 0.05 = 2500\n \\]\n Therefore, 2500 candles are dangerous.\n\n2. **Determine the number of dangerous candles with the defect:**\n - 5% of the 2500 dangerous candles have a defect causing them to smell like wet dog.\n - The calculation for this is:\n \\[\n 2500 \\times 0.05 = 125\n \\]\n Thus, there are 125 dangerous candles that smell like wet dog.\n\n3. **Determine the total number of candles that will not explode:**\n - The problem states that 99% of the candles are guaranteed not to explode.\n - Given 50,000 candles, the number of candles that won't explode is:\n \\[\n 50000 \\times 0.99 = 49500\n \\]\n\n4. **Determine the number of candles that will both smell like wet dog and explode:**\n - The total number of dangerous candles is 2500.\n - Out of these, 125 have the defect (smell like wet dog).\n - Therefore, the number of candles that are both dangerous and have the defect is:\n \\[\n 2500 - 125 = 2375\n \\]\n\n5. **Conclusion:**\n - The number of candles that will both smell like wet dog and explode is:\n \\[\n \\boxed{2375}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The regular price for each blouse is $20. \nSince the blouses are 30% off, Misha is only paying 70% of the regular price. \nTo find the discounted price, we multiply the regular price by 70%: $20 * 0.70 = $14. \nMisha picked out 4 blouses, so the total cost of the discounted blouses is $14 * 4 = $56. \n#### 56\nThe answer is: 56", "answer": {"result": 56.0}}, "matches": true} +{"solution": {"solution": "Let's denote the number of apples Joanne gathers from the average trees as A.\n\nFrom the tallest trees, Joanne gathers 30 apples. Her sister gathers twice as many, which is 2 * 30 = 60 apples.\n\nFrom the shortest trees, Joanne gathers half the amount of the tallest trees, which is 30 / 2 = 15 apples. Her sister gathers 3 times as many, which is 3 * 15 = 45 apples.\n\nThe sisters do not gather from the average trees, so Joanne's gathering from the average trees is the only contribution from that category.\n\nThe total number of apples gathered by both sisters is 500.\n\nSo, the equation representing the total apples gathered is:\n\nJoanne's tallest trees + Joanne's shortest trees + Joanne's average trees = Total apples\n30 + 15 + A = 500\n\nCombining the known quantities:\n45 + A = 500\n\nSubtracting 45 from both sides to solve for A:\nA = 500 - 45\nA = 455\n\nJoanne gathered $\\boxed{455}$ apples from the average trees.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. Let \\( x \\) be the number of camels and \\( y \\) be the number of dromedaries in the herd.\n\n2. We are given two key pieces of information:\n - The total number of heads (i.e., animals) is 180.\n - The total number of humps is 304.\n\n3. From the problem, we know the following characteristics:\n - Camels have two humps each.\n - Dromedaries have one hump each.\n\n4. Based on this, we can set up two equations:\n \\[\n x + y = 180\n \\]\n \\[\n 2x + y = 304\n \\]\n\n5. To solve these equations, we first isolate \\( x \\) from the first equation:\n \\[\n x = 180 - y\n \\]\n\n6. Next, substitute \\( x = 180 - y \\) into the second equation:\n \\[\n 2(180 - y) + y = 304\n \\]\n\n7. Simplify the equation:\n \\[\n 360 - 2y + y = 304\n \\]\n \\[\n 360 - y = 304\n \\]\n\n8. Solve for \\( y \\):\n \\[\n -y = 304 - 360\n \\]\n \\[\n -y = -56\n \\]\n \\[\n y = 56\n \\]\n\n9. Therefore, the number of dromedaries \\( y \\) is 56.\n\n### Conclusion:\n\\[\n\\boxed{56}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Calculate the distance traveled in the first 4 days**:\n Tom traveled 200 kilometers every day for the first 4 days.\n \\[\n 4 \\times 200 = 800 \\text{ kilometers}\n \\]\n\n2. **Calculate the distance traveled over the next two days**:\n Over the next two days, he traveled 30% of the distance traveled in the first four days.\n \\[\n 0.30 \\times 800 = 240 \\text{ kilometers}\n \\]\n\n3. **Sum the distance traveled in the first 6 days**:\n Adding the distances from steps 1 and 2:\n \\[\n 800 + 240 = 1040 \\text{ kilometers}\n \\]\n\n4. **Calculate the distance traveled during the rest of the trip**:\n There were 7 days left in the trip (14 days total minus the 7 already calculated). Since the remaining days were in the second week, he traveled 300 kilometers each day.\n \\[\n 7 \\times 300 = 2100 \\text{ kilometers}\n \\]\n\n5. **Sum the total distance traveled**:\n Adding the distances from steps 3 and 4:\n \\[\n 1040 + 2100 = 3140 \\text{ kilometers}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{3140}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. Peter's locker is 1/4 the size of Zack's locker, so Zack's locker is 4 times bigger than Peter's. Given that Peter's locker is 5 cubic inches, we calculate the size of Zack's locker as follows:\n \\[\n \\text{Size of Zack's locker} = 4 \\times 5 = 20 \\text{ cubic inches}\n \\]\n\n2. Zack's locker is half the size of Timothy's locker. Therefore, Timothy's locker has twice the size of Zack's locker:\n \\[\n \\text{Size of Timothy's locker} = 2 \\times 20 = 40 \\text{ cubic inches}\n \\]\n\n3. Conclusion:\n \\[\n \\boxed{40}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how many feet Oliver must climb to reach Stanley's comb, we need to subtract Oliver's elevation from the elevation where Stanley's comb landed.\n\nStanley's comb landed at an elevation of 10,000 feet.\nOliver's elevation is 3,000 feet.\n\nThe calculation is as follows:\n\n10,000 feet (elevation of comb) - 3,000 feet (Oliver's elevation) = 7,000 feet\n\nOliver must climb $\\boxed{7,000}$ feet to reach the elevation of Stanley's comb.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The first bank gave him $4000, and the second bank gave him twice as much, so the second bank gave him $4000 * 2 = $8000.\n\nIn total, Mr. Josue received $4000 + $8000 = $12000 from the two banks.\n\nHe initially had $5000 in capital, so now he has $5000 + $12000 = $\\boxed{\\$17000}$ in total.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Initial Number of Cats:**\n - There were initially 50 cats on the rock.\n\n2. **Cats Carried Away by Boats:**\n - Four boats each took away 5 cats.\n - The total number of cats taken away by the boats is calculated as:\n \\[\n 4 \\text{ boats} \\times 5 \\text{ cats per boat} = 20 \\text{ cats}\n \\]\n\n3. **Remaining Cats After Boats:**\n - Subtract the number of cats taken away by the boats from the initial number:\n \\[\n 50 \\text{ cats} - 20 \\text{ cats} = 30 \\text{ cats}\n \\]\n\n4. **Cats Chasing the Mouse:**\n - Later, 3/5 of the remaining cats chased a mouse.\n - The number of cats chasing the mouse is:\n \\[\n \\frac{3}{5} \\times 30 \\text{ cats} = 18 \\text{ cats}\n \\]\n\n5. **Cats Left on the Rock:**\n - Subtract the number of cats chasing the mouse from the remaining cats:\n \\[\n 30 \\text{ cats} - 18 \\text{ cats} = 12 \\text{ cats}\n \\]\n\n6. **Conclusion:**\n - The number of cats left on the rock is:\n \\[\n \\boxed{12}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the total cost of 2 years of the streaming service, we break down the cost into different periods based on the rate changes:\n\n1. **First 6 months at $8 per month**:\n - The cost for these 6 months is $8 \\times 6 = \\$48$.\n\n2. **Next 3 months at $12 per month (after the introductory offer)**:\n - The cost for these 3 months is $12 \\times 3 = \\$36$.\n\n3. **Next 3 months at $12 per month (still on the introductory rate for 6 months)**:\n - There is an overlap of 1 month between this period and the previous one, so the cost for 2 months at $12 per month is $12 \\times 2 = \\$24$.\n\n4. **Next 8 months at $14 per month**:\n - The cost for these 8 months is $14 \\times 8 = \\$112$.\n\n5. **Next 12 months at $14 per month**:\n - The cost for these 12 months is $14 \\times 12 = \\$168$.\n\nAdding all these costs together gives the total cost for 2 years:\n\n- Total Cost = \\$48 + \\$36 + \\$24 + \\$112 + \\$168 = \\$388.\n\nTherefore, the total cost of the service for 2 years is $\\boxed{\\$388}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote the original cost of the jogger jeans as J. \n\nAccording to the information given, the jogger jeans cost $6 less than the tattered jeans, so we can write:\nJ = $28 - $6\nJ = $22\n\nCole saved a total of $6 on both pairs of jeans. He saved 1/3 of this total from the jogger jeans and the rest from the tattered jeans. So, he saved 2/3 of $6 from the tattered jeans.\n\nLet's calculate the savings from each pair of jeans:\nSavings from jogger jeans = 1/3 of $6\nSavings from jogger jeans = $6 * (1/3)\nSavings from jogger jeans = $2\n\nSavings from tattered jeans = 2/3 of $6\nSavings from tattered jeans = $6 * (2/3)\nSavings from tattered jeans = $4\n\nNow, we know the original cost of the jogger jeans (J) is $22, and we need to find out how much more they originally cost than the tattered jeans.\n\nThe original cost of the tattered jeans is $28, so the difference in original cost between the jogger jeans and the tattered jeans is:\nDifference = Original cost of tattered jeans - Original cost of jogger jeans\nDifference = $28 - $22\nDifference = $6\n\nSo, the jogger jeans originally cost $\\boxed{\\$6}$ more than the tattered jeans.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nEach bus can hold 60 employees, and there are 4 buses, so the buses can hold a total of 60 * 4 = 240 employees.\nEach minibus can hold 30 employees, and there are 6 minibuses, so the minibuses can hold a total of 30 * 6 = 180 employees.\nEach minivan can hold 15 employees, and there are 10 minivans, so the minivans can hold a total of 15 * 10 = 150 employees.\nTo find the total number of employees that can join the day trip, we add the capacities of all the vehicles: 240 + 180 + 150 = 570.\nTherefore, 570 employees can join the day trip.\n#### 570\nThe answer is: 570", "answer": {"result": 570.0}}, "matches": true} +{"solution": {"solution": "\nLillian built 3 bird feeders herself, and each of these attracts 20 birds, but she noticed that the feeders she made herself attract 10 more birds each, so they attract 20 + 10 = 30 birds each.\n\nShe also bought 3 bird feeders, and each of these attracts 20 birds each.\n\nSo, the total number of birds attracted by the bird feeders she made herself is 3 * 30 = 90 birds.\n\nThe total number of birds attracted by the store-bought bird feeders is 3 * 20 = 60 birds.\n\nTherefore, the total number of birds Lillian can expect to see in her garden each day is 90 + 60 = 150 birds.\n\n#### 150\nThe answer is: 150", "answer": {"result": 150.0}}, "matches": true} +{"solution": {"solution": "\n1. **Calculate the cost of the soup:**\n - The bagel costs $4.\n - The soup costs 25% more than the bagel.\n - Hence, the additional cost for the soup is:\n \\[\n 4 \\times 0.25 = 1\n \\]\n - Therefore, the cost of the soup is:\n \\[\n 4 + 1 = 5 \\text{ dollars}\n \\]\n\n2. **Calculate the cost of the cake:**\n - The cake is half the price of the bagel.\n - Hence, the cost of the cake is:\n \\[\n \\frac{4}{2} = 2 \\text{ dollars}\n \\]\n\n3. **Calculate the total cost of the dinner:**\n - The total cost is the sum of the costs of the soup, bagel, and cake:\n \\[\n 5 + 4 + 2 = 11 \\text{ dollars}\n \\]\n\n### Conclusion:\n\nThe total cost of Aleksandra's dinner is:\n\\[\n\\boxed{11}\n\\]\n\nTo enhance the solution, we've broken down the calculation into detailed steps, clarifying each part of the computation. This ensures a clear and coherent understanding of how to reach the final answer.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. Let \\( x \\) be the total number of Pokemon cards Kenny has.\n2. Kenny keeps \\(\\frac{1}{3}\\) of the cards and sells the remaining \\(\\frac{2}{3}\\).\n3. He sells each of the \\(\\frac{2}{3}\\) cards for $1.5 each. The total revenue from selling these cards is:\n \\[\n \\frac{2}{3} x \\times 1.5\n \\]\n4. Simplify the expression for the revenue:\n \\[\n \\frac{2}{3} x \\times 1.5 = \\frac{2}{3} x \\times \\frac{3}{2} = x\n \\]\n5. The total cost of the amusement park ticket is $100, and Kenny has $50 left for additional spending. Therefore, the total amount he earned from selling the cards is:\n \\[\n 100 + 50 = 150\n \\]\n6. Equate the total revenue from selling cards to the total money he has:\n \\[\n x = 150\n \\]\n\nConclusion:\nKenny started with \\( \\boxed{150} \\) Pokemon cards.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The caterer prepared enough hotdogs for 36/2 = 18 guests to have two hotdogs.\n\nSince 40 guests showed up, and everyone wanted a second hotdog, there were 40 hotdogs needed in total.\n\nThe 18 guests who were prepared for would have consumed 18 * 2 = 36 hotdogs.\n\nThere were only 40 hotdogs available, so all 40 were consumed.\n\nThis means that there were no hotdogs left for the remaining 2 guests (40 - 36 = 2).\n\nTherefore, $\\boxed{2}$ guests did not get a second hotdog.\n\nThe answer is: 2", "answer": {"result": 2.0}}, "matches": false} +{"solution": {"solution": "1. Calculate half of the letters in Indras' name: \n \\[\n \\frac{6}{2} = 3\n \\]\n2. Determine the number of letters in her sister's name:\n \\[\n 3 + 4 = 7\n \\]\n3. Add the total number of letters in Indras' and her sister's names:\n \\[\n 6 + 7 = 13\n \\]\n\nConclusion:\n\\[\n\\boxed{13}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total cost of the items before the discount:\n\n- The set of pots and pans costs $120.00\n- The set of mixing bowls costs $20.00\n- The 5 separate utensils cost $5.00 each, so 5 * $5.00 = $25.00\n\nNow, let's add up the costs of all the items:\n\n$120.00 (pots and pans) + $20.00 (mixing bowls) + $25.00 (utensils) = $165.00\n\nNow, we need to calculate the 20% discount on the total cost:\n\n20% of $165.00 is (20/100) * $165.00 = $33.00\n\nFinally, let's subtract the discount from the total cost to find out how much Charlotte will pay:\n\n$165.00 - $33.00 = $132.00\n\nCharlotte's order will cost her $\\boxed{\\$132.00}$ after the discount.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how much more money Dora needs, we first need to calculate the total cost of the skipping rope, the board game, and the playground ball. \n\nThe cost of the skipping rope is $6.\nThe cost of the board game is $11.\nThe cost of the playground ball is $2.\n\nAdding these together gives us the total cost:\n\\[6 + 11 + 2 = \\$19\\]\n\nDora has saved $2 from her allowance and received $16 from her mother, making a total of:\n\\[2 + 16 = \\$18\\]\n\nTo find out how much more money Dora needs, we subtract the total amount she has from the total cost of the items:\n\\[19 - 18 = \\$1\\]\n\nTherefore, Dora needs $\\boxed{1}$ more dollar to buy the skipping rope, the game, and the ball.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nPrince Arthur slew three quarters as many dragons as Prince Thaddeus, so he slew 100 * 3/4 = 75 dragons.\n\nPrince Walter slew twice as many dragons as Prince Arthur, so he slew 75 * 2 = 150 dragons.\n\nPrince Bruce slew one-fifth as many dragons as Prince Walter, so he slew 150 * 1/5 = 30 dragons.\n\nTherefore, Prince Bruce has slain 30 dragons.\n\n#### 30\nThe answer is: 30", "answer": {"result": 30.0}}, "matches": true} +{"solution": {"solution": "First, determine how much gas is in each container. Since 15 gallons are divided equally into 5 containers, each container holds:\n\\[ \\frac{15 \\text{ gallons}}{5} = 3 \\text{ gallons per container} \\]\n\nJosey needs 1/4 of a container for her lawnmower. To find the volume in gallons:\n\\[ \\frac{1}{4} \\text{ of 3 gallons} = \\frac{1}{4} \\times 3 = 0.75 \\text{ gallons} \\]\n\nSince 1 gallon equals 8 pints, we convert the gallons to pints:\n\\[ 0.75 \\text{ gallons} \\times 8 \\text{ pints/gallon} = 6 \\text{ pints} \\]\n\nThus, Josey needs $\\boxed{6}$ pints of gasoline.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "George had 1% of his money left after spending $5, so he spent 99% of $5, which is 0.99 * $5 = $4.95.\n\nHe bought 3 bags of chips, and each bag costs 40 cents, so the total cost for the chips is 3 * 40 cents = 120 cents.\n\nSince he spent $4.95 in total, the remaining $0.05 must have been used to buy candy bars. Each candy bar costs 75 cents, so the number of candy bars he bought is $0.05 / $0.75 = 0.0667 candy bars.\n\nSince George cannot buy a fraction of a candy bar, he must have bought 0 candy bars.\n\nTherefore, George bought 0 candy bars.\n\n#### 0\nThe answer is: 0", "answer": {"result": 0.0}}, "matches": false} +{"solution": {"solution": "Ray kept 5 lollipops, so he had 25 - 5 = 20 lollipops left to share with his friends.\nHe shared these 20 lollipops equally with his four friends, so each friend received 20 / 4 = 5 lollipops.\nEach of Ray's friends received 5 lollipops.\n#### 5\nThe answer is: 5", "answer": {"result": 5.0}}, "matches": true} +{"solution": {"solution": "Rory and her mom have 2 pieces, so they have eaten 2/8 = 1/4 of the cake.\nThe remaining cake is 1 - 1/4 = 3/4 of the original weight.\nThe remaining cake weighs 3/4 * 20 ounces = 15 ounces.\n#### 15\nThe answer is: 15", "answer": {"result": 15.0}}, "matches": true} +{"solution": {"solution": "Sitti and Juris bought a total of 34 + 22 = 56 oranges.\n\nIf they decide to share equally with 6 other friends, there will be a total of 6 + 2 = 8 people sharing the oranges.\n\nTo find out how many oranges each person will get, we divide the total number of oranges by the total number of people:\n\n56 oranges \u00f7 8 people = 7 oranges per person.\n\nSo, everyone will get $\\boxed{7}$ oranges.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nAntoine wants to double the amount of onions in the recipe, so he will need 2 pounds * 2 = 4 pounds of onions.\n\nThe cost of the onions is 4 pounds * $2.00/pound = $8.00.\n\nAntoine needs 2 boxes of beef stock, so the cost of the beef stock is 2 boxes * $2.00/box = $4.00.\n\nThe total cost of the ingredients is $8.00 + $4.00 = $12.00.\n\nThe soup serves 6 people, so the cost per serving is $12.00 / 6 people = $2.00.\n\nRounding to the nearest integer, the cost per serving is $2.\n\n#### 2\nThe answer is: 2", "answer": {"result": 2.0}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's break down the information given and the steps to find the answer:\n\n1. **Wayne's Drive Time:**\n - Wayne's drive to the theater takes 4 minutes.\n\n2. **Bernadette's Drive Time:**\n - Bernadette's drive to the theater takes four times as long as Wayne's drive. Therefore, we calculate Bernadette's drive time as follows:\n \\[\n 4 \\text{ minutes} \\times 4 = 16 \\text{ minutes}\n \\]\n\n3. **Bernadette's Total Time to Arrive Before Wayne:**\n - Bernadette wants to arrive 5 minutes before Wayne. Since Wayne's total time to the theater (including drive time) is 4 minutes, the total time for Bernadette to arrive 5 minutes earlier is:\n \\[\n 4 \\text{ minutes} + 5 \\text{ minutes} = 9 \\text{ minutes}\n \\]\n\n4. **Bernadette's Total Time Accounting for Drive Time:**\n - To find out when Bernadette should leave, we add her drive time to her total arrival time:\n \\[\n 16 \\text{ minutes} + 9 \\text{ minutes} = 25 \\text{ minutes}\n \\]\n\n5. **Earlier Departure Time for Bernadette:**\n - Since Wayne takes 4 minutes to get to the theater, Bernadette should leave 21 minutes earlier than Wayne to arrive 5 minutes before him:\n \\[\n 25 \\text{ minutes} - 4 \\text{ minutes} = 21 \\text{ minutes}\n \\]\n\nTherefore, Bernadette should leave $\\boxed{21}$ minutes earlier than Wayne to arrive at the theater 5 minutes before him.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the perimeter of Billie's room, we first need to determine the width of the room. We know the area of the room is 360 square feet and the length is 3 yards. \n\n1. Convert the length from yards to feet:\n\\[3 \\, \\text{yards} = 3 \\times 3 \\, \\text{feet} = 9 \\, \\text{feet}\\]\n\n2. Use the area formula to find the width:\n\\[360 \\, \\text{square feet} = 9 \\, \\text{feet} \\times \\text{width}\\]\n\\[\\text{width} = \\frac{360}{9} = 40 \\, \\text{feet}\\]\n\n3. Calculate the perimeter of the rectangle:\n\\[ \\text{Perimeter} = 2 \\times (\\text{length} + \\text{width}) \\]\n\\[ \\text{Perimeter} = 2 \\times (9 \\, \\text{feet} + 40 \\, \\text{feet}) \\]\n\\[ \\text{Perimeter} = 2 \\times 49 \\, \\text{feet} \\]\n\\[ \\text{Perimeter} = 98 \\, \\text{feet} \\]\n\nTherefore, the perimeter of Billie's bedroom is $\\boxed{98 \\, \\text{feet}}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Calculate the total number of beads Elizabeth bought:**\n - Elizabeth bought 1 pack of red beads and 2 packs of clear beads.\n - Each pack contains 20 beads.\n\n Therefore, the total number of beads Elizabeth bought is:\n \\[\n 1 \\text{ pack of red beads} \\times 20 \\text{ beads/pack} + 2 \\text{ packs of clear beads} \\times 20 \\text{ beads/pack} = 20 + 40 = 60 \\text{ beads}\n \\]\n\n2. **Calculate the total number of beads Margareth bought:**\n - Margareth bought 3 packs of blue beads and 4 packs of red beads.\n - Each pack contains 20 beads.\n\n Therefore, the total number of beads Margareth bought is:\n \\[\n 3 \\text{ packs of blue beads} \\times 20 \\text{ beads/pack} + 4 \\text{ packs of red beads} \\times 20 \\text{ beads/pack} = 60 + 80 = 140 \\text{ beads}\n \\]\n\n3. **Determine the difference in the number of beads between the two sisters:**\n - Elizabeth has 60 beads.\n - Margareth has 140 beads.\n\n The difference is:\n \\[\n 140 \\text{ beads} - 60 \\text{ beads} = 80 \\text{ beads}\n \\]\n\n### Conclusion:\n\nMargareth has 80 more beads than Elizabeth.\n\n\\[\n\\boxed{80}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "After baking for 3 hours, the oven raises the house's temperature by 5 degrees per hour, so it raises the temperature by 5 * 3 = 15 degrees.\n\nThe new house temperature after baking is 40 + 15 = 55 degrees.\n\nMarcus then opens a window for 30 minutes, or 0.5 hours. The house cools down by 2 degrees for every 10 minutes the window is open, so it cools down by 2 * (0.5 / 0.1) = 2 * 5 = 10 degrees.\n\nThe final house temperature after opening the window is 55 - 10 = 45 degrees.\n\nTherefore, the final temperature of the house is 45 degrees.\n\nThe final answer is 45 degrees.\n\nAnswer: \\boxed{45}", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's find out how long it took Jon to complete the triathlon by adding up the times for each part: swim, bike, and run. \n\nSwim time: 40 minutes\nBike time: 1 hour and 20 minutes = 80 minutes\nRun time: 50 minutes\n\nTotal time for Jon: 40 + 80 + 50 = 170 minutes\n\nNow, let's find out how long James took for each part of the triathlon.\n\nFor the swim, James is 10% faster than Jon. Since Jon swam for 40 minutes, we need to find 10% of 40 minutes:\n\n10% of 40 minutes = 0.10 * 40 = 4 minutes\n\nSo, James swam 4 minutes faster than Jon, which means James swam for:\n\n40 minutes - 4 minutes = 36 minutes\n\nFor the bike ride, James takes 5 minutes longer than Jon. Since Jon took 80 minutes for the bike, James took:\n\n80 minutes + 5 minutes = 85 minutes\n\nNow, let's add up the times for James's swim and bike:\n\nSwim time for James: 36 minutes\nBike time for James: 85 minutes\n\nTotal time for James (swim and bike): 36 + 85 = 121 minutes\n\nWe know that Jon won the triathlon by 10 minutes, so let's find out the total time James took to complete the triathlon:\n\nTotal time for Jon: 170 minutes\n\nSince Jon won by 10 minutes, James's total time must be 10 minutes more than Jon's:\n\nTotal time for James = 170 minutes + 10 minutes = 180 minutes\n\nWe already know the time for James's swim and bike, so we can find the time for the run by subtracting the swim and bike times from James's total time:\n\nRun time for James = Total time for James - Swim time for James - Bike time for James\nRun time for James = 180 minutes - 36 minutes - 85 minutes\nRun time for James = 59 minutes\n\nTherefore, James took $\\boxed{59}$ minutes to complete the run.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Convert Movie C's length from hours to minutes:**\n - Movie C is 1.25 hours long.\n - Convert hours to minutes: \\(1.25 \\text{ hours} \\times 60 \\text{ minutes/hour} = 75 \\text{ minutes}\\).\n\n2. **Determine the length of Movie B:**\n - Movie B is 5 minutes longer than Movie C.\n - Calculate the length of Movie B: \\(75 \\text{ minutes} + 5 \\text{ minutes} = 80 \\text{ minutes}\\).\n\n3. **Calculate the length of Movie A:**\n - Movie A is one-fourth the length of Movie B.\n - Calculate the length of Movie A: \\(\\frac{1}{4} \\times 80 \\text{ minutes} = 20 \\text{ minutes}\\).\n\n### Conclusion\nMovie A is \\(20\\) minutes long.\nThe final answer is $\\boxed{20}$", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nFirst, let's calculate how many miles the horse runs in 30 minutes at 32MPH. \n\n32 miles per hour * 0.5 hours (30 minutes) = 16 miles \n\nNext, let's calculate how many bails of hay the horse eats for 16 miles. \n\n16 miles * 1/2 bail per mile = 8 bails of hay \n\nNow, let's calculate the cost of the hay. \n\n8 bails of hay * $3 per bail = $24 \n\nFinally, let's calculate how much change Michael has after buying the hay. \n\nMichael has 6 * $5 = $30 \n\n$30 - $24 = $6 \n\nMichael has $6 in change after buying the hay. \n\nAnswer: \\boxed{6}", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's find out the total number of eggs Rozanne has. She has 4 dozen eggs in cases. Since 1 dozen equals 12, she has:\n\n4 dozen * 12 eggs/dozen = 48 eggs\n\nShe also has 2 loose eggs, so the total number of eggs is:\n\n48 eggs + 2 eggs = 50 eggs\n\nNow, if each glass of eggnog needs 5 eggs, and she wants to put out trays that each hold 5 glasses, then each tray will need:\n\n5 glasses * 5 eggs/glass = 25 eggs\n\nTo find out how many trays she can put out with 50 eggs, we divide the total number of eggs by the number of eggs needed per tray:\n\n50 eggs / 25 eggs/tray = 2 trays\n\nSo, Rozanne can put out $\\boxed{2}$ trays of eggnog.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Before Joey's turn, he has 214 points.\nAfter his turn, he scores 26 points, so his new score is 214 + 26 = 240 points.\nMarcy has 225 points, and she scores 10 points, so her new score is 225 + 10 = 235 points.\nTo find out by how many points Joey is now winning, we subtract Marcy's score from Joey's score: 240 - 235 = 5 points.\nTherefore, Joey is now winning by 5 points.\n#### 5\nThe answer is: 5", "answer": {"result": 5.0}}, "matches": true} +{"solution": {"solution": "The salesman bought 48 sneakers for $576, so the cost of each sneaker was $576 / 48 = $12.\nOn Monday, he sold 17 sneakers for $20 each, so he earned 17 * $20 = $340.\nHe sold the remaining sneakers to a department store for $25 each, so he sold 48 - 17 = 31 sneakers.\nHe earned 31 * $25 = $775 from the department store.\nIn total, he earned $340 + $775 = $1115 from selling the sneakers.\nSince he bought the sneakers for $576, his profit is $1115 - $576 = $539.\n#### 539\nThe answer is: 539", "answer": {"result": 539.0}}, "matches": true} +{"solution": {"solution": "Beatrice bought a total of 6 packets with 8 crayons each and 4 packets with 16 crayons each. \n\nFor the 6 packets with 8 crayons each:\n6 packets * 8 crayons/packet = 48 crayons\n\nFor the 4 packets with 16 crayons each:\n4 packets * 16 crayons/packet = 64 crayons\n\nAdding these together gives the total number of crayons Beatrice bought:\n48 crayons + 64 crayons = 112 crayons\n\nTherefore, Beatrice bought a total of $\\boxed{112}$ crayons.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote the regular price of popcorn as P. \n\nIf you buy the super ticket for $20, you get a popcorn and soda for $1 extra, so the total cost is $20 + $1 = $21.\n\nIf you buy a movie ticket for $12 and popcorn and soda at regular price, the total cost would be $12 + P + $3 (since the soda costs $3).\n\nAccording to the information given, you saved $2 by not buying the super ticket. Therefore, the cost of the regular ticket and popcorn and soda should be $2 less than the super ticket.\n\nSo, we set up the equation:\n\n$20 + $1 (super ticket) = $12 + P + $3 (regular ticket) + $2 (savings)\n\n$21 = $12 + P + $3 + $2\n\nNow, we simplify and solve for P:\n\n$21 = $12 + P + $5\n$21 = $17 + P\nP = $21 - $17\nP = $4\n\nThe regular price of the popcorn is $\\boxed{\\$4}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Determine the initial cost per balloon:**\n\n Let \\( x \\) be the original cost per balloon before the price increase. Given that the total cost for 20 balloons is $900, we can write the equation:\n \\[\n 20x = 900\n \\]\n\n2. **Solve for \\( x \\):**\n\n To find \\( x \\), divide both sides of the equation by 20:\n \\[\n x = \\frac{900}{20} = 45\n \\]\n So, the initial cost per balloon was $45.\n\n3. **Determine the new cost per balloon:**\n\n After the price increase, the cost per balloon rose by $20. Hence, the new cost per balloon is:\n \\[\n 45 + 20 = 65\n \\]\n\n4. **Calculate the total cost for 170 balloons at the new price:**\n\n With the new cost per balloon being $65, the total cost for 170 balloons is:\n \\[\n 170 \\times 65\n \\]\n\n5. **Perform the multiplication:**\n\n Calculate \\( 170 \\times 65 \\) step-by-step:\n \\[\n 170 \\times 65 = (170 \\times 60) + (170 \\times 5)\n \\]\n First, calculate \\( 170 \\times 60 \\):\n \\[\n 170 \\times 60 = 10200\n \\]\n Next, calculate \\( 170 \\times 5 \\):\n \\[\n 170 \\times 5 = 850\n \\]\n Add the two results:\n \\[\n 10200 + 850 = 11050\n \\]\n\n6. **Conclusion:**\n\n Bentley paid $11050 to fill 170 balloons after the price increase.\n\n\\[\n\\boxed{11050}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the average speed, we need to find the total distance traveled and divide it by the total time taken.\n\nFor the first part of the trip, the car travels at 60 mph for 2 hours.\nDistance = speed \u00d7 time = 60 mph \u00d7 2 hours = 120 miles.\n\nFor the second part of the trip, the car travels at 30 mph for 1 hour.\nDistance = speed \u00d7 time = 30 mph \u00d7 1 hour = 30 miles.\n\nThe total distance traveled is the sum of the distances from each part of the trip:\nTotal distance = 120 miles + 30 miles = 150 miles.\n\nThe total time taken is the sum of the times for each part of the trip:\nTotal time = 2 hours + 1 hour = 3 hours.\n\nNow, we can find the average speed by dividing the total distance by the total time:\nAverage speed = total distance / total time = 150 miles / 3 hours = 50 mph.\n\nThe car's average speed during this trip is $\\boxed{50}$ mph.The answer is: 50", "answer": {"result": 50.0}}, "matches": true} +{"solution": {"solution": "Jenna starts with 8 sapphires, which are worth $800 each. So, the total value of her sapphires is:\n8 sapphires * $800/sapphire = $6400\n\nShe trades 3 sapphires for two rubies. The value of the sapphires she trades away is:\n3 sapphires * $800/sapphire = $2400\n\nThe value of the rubies she gets in return is:\n2 rubies * $1200/ruby = $2400\n\nNow, let's calculate her total worth after the trade. She loses the value of the sapphires she traded away, which is $2400, but gains the value of the rubies, which is also $2400. So, her net change in value is:\n$2400 (value of traded sapphires) - $2400 (value of new rubies) = $0\n\nTherefore, her total worth remains unchanged by the trade. She started with $6400 worth of sapphires and traded them for rubies of equal value, so her total worth of jewels is still:\n$6400 (from sapphires) + $2400 (from rubies) = $8800\n\nSo, all her jewels are worth $\\boxed{\\$8800}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Marin eats 4 apples a day, so in 30 days he eats 4 * 30 = 120 apples.\nNancy also eats 4 apples a day, so in 30 days she eats 4 * 30 = 120 apples.\nTogether, Marin and Nancy eat 120 + 120 = 240 apples in 30 days.\n#### 240\nThe answer is: 240", "answer": {"result": 240.0}}, "matches": false} +{"solution": {"solution": "\n\nFirst, we need to calculate the volume of soil needed for one raised bed. The volume of a rectangular prism (which is the shape of the raised bed) is given by the formula:\n\nVolume = Length \u00d7 Width \u00d7 Height\n\nFor one raised bed:\n\nVolume = 8 feet \u00d7 2 feet \u00d7 2 feet = 32 cubic feet\n\nSince Bob has 10 raised beds, we need to find the total volume of soil needed:\n\nTotal volume = 32 cubic feet/bed \u00d7 10 beds = 320 cubic feet\n\nNow, we know that each bag of potting soil holds 2 cubic feet and costs $12. To find out how many bags Bob needs:\n\nNumber of bags = Total volume / Volume per bag = 320 cubic feet / 2 cubic feet/bag = 160 bags\n\nFinally, to find the total cost:\n\nTotal cost = Number of bags \u00d7 Cost per bag = 160 bags \u00d7 $12/bag = $1920\n\nThe potting soil will cost Bob $1920.\n\nAnswer:\n\n$1920", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Determine the number of green cards:**\n\n We are given that there are 15 red cards in the set. Green cards are 60% more than the red cards. Therefore, to find the number of green cards, we calculate:\n\n \\[\n \\text{Number of green cards} = 15 + 0.6 \\times 15\n \\]\n\n First, calculate $0.6 \\times 15$:\n\n \\[\n 0.6 \\times 15 = 9\n \\]\n\n Then, add this to the number of red cards:\n\n \\[\n 15 + 9 = 24\n \\]\n\n So, there are 24 green cards.\n\n2. **Determine the number of yellow cards:**\n\n The problem states that the number of yellow cards equals the sum of the red and green cards. Thus, the number of yellow cards is:\n\n \\[\n \\text{Number of yellow cards} = 15 + 24 = 39\n \\]\n\n3. **Calculate the total number of cards:**\n\n To find the total number of cards in the set, sum the number of red, green, and yellow cards:\n\n \\[\n \\text{Total number of cards} = 15 + 24 + 39\n \\]\n\n Calculate the sum:\n\n \\[\n 15 + 24 = 39\n \\]\n\n Then add 39:\n\n \\[\n 39 + 39 = 78\n \\]\n\n### Conclusion:\n\nThus, the total number of cards in the set is \\(\\boxed{78}\\).", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Katelyn saw 50 fairies flying above the forest. \n\nHer friend saw half as many fairies as Katelyn saw come from the east and join the fairies that were there. \n\nSo, her friend saw 50 / 2 = 25 fairies. \n\nThe total number of fairies at this point is 50 (Katelyn's original count) + 25 (her friend's count) = 75 fairies. \n\nTen minutes later, 30 fairies flew away. \n\nSo, the number of fairies remaining is 75 - 30 = $\\boxed{45}$ fairies.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Jennifer has 3 puppies with spots out of 8 total puppies, so the percentage of her puppies with spots is 3/8 * 100 = 37.5%.\nBrandon has 4 puppies with spots out of 12 total puppies, so the percentage of his puppies with spots is 4/12 * 100 = 33.33%.\nTo find the overall percentage of puppies with spots, we add the two percentages together: 37.5% + 33.33% = 70.83%.\n#### 71\nThe answer is: 71", "answer": {"result": 71.0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total weight of each type of feed the farmer is buying:\n\n- Sugar cubes: 2 boxes * 1 pound each = 2 pounds\n- Carrots: 4 bags * 12 pounds each = 48 pounds\n- Hay: 42 bales * 75 pounds each = 3150 pounds\n- Oats: 20 sacks * 65 pounds each = 1300 pounds\n\nNow, let's add up the total weight of all the feed:\n\nTotal weight = 2 pounds (sugar cubes) + 48 pounds (carrots) + 3150 pounds (hay) + 1300 pounds (oats)\nTotal weight = 2 + 48 + 3150 + 1300\nTotal weight = 4500 pounds\n\nThe truck can carry 2250 pounds at a time. To find out how many trips the farmer needs to make, we divide the total weight by the truck's carrying capacity:\n\nNumber of trips = Total weight / Truck capacity\nNumber of trips = 4500 pounds / 2250 pounds per trip\nNumber of trips = 2\n\nThe farmer needs to make $\\boxed{2}$ trips to transport all the feed.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Grayson drinks 3 aluminum cans of soda each week, so she earns 3 cans * 2 cents per can = 6 cents from aluminum cans each week.\n\nGrayson drinks 5 plastic bottles of water each week, so she earns 5 bottles * 3 cents per bottle = 15 cents from plastic bottles each week.\n\nIn a four-week month, Grayson earns 6 cents * 4 weeks = 24 cents from aluminum cans.\n\nIn the same month, Grayson earns 15 cents * 4 weeks = 60 cents from plastic bottles.\n\nTherefore, Grayson earns a total of 24 cents + 60 cents = 84 cents from recycling in a four-week month.\n\n#### 84\nThe answer is: 84", "answer": {"result": 84.0}}, "matches": true} +{"solution": {"solution": "If Frederick has 10 plants, Toni has 60% more plants than Frederick. \n\n60% of 10 plants is (60/100) * 10 = 6 plants.\n\nSo, Toni has 10 plants + 6 plants = 16 plants.\n\nShondra has 7 fewer plants than Toni, so Shondra has 16 plants - 7 plants = $\\boxed{9}$ plants.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Leila gave Ali half of her $100, which is $100 / 2 = $50. \n\nAli originally had $21. \n\nAfter receiving $50 from Leila, Ali now has $21 + $50 = $71. \n\nTherefore, Ali has $\\boxed{\\$71}$ now.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nIf Ashley wants to give a tip that is equal to 1/5 of the amount she ordered, she should calculate 1/5 of $15. \n1/5 of $15 is calculated by multiplying $15 by 1/5, which is equal to $3. \nTherefore, Ashley should give the delivery man $15 (the cost of the pizza) + $3 (the tip) = $18 in total. \n#### 18\nThe answer is: 18", "answer": {"result": 18.0}}, "matches": true} +{"solution": {"solution": "Finley started in first place but fell back 5 spots, so she was in 6th place.\nShe then moved ahead 2 spots, so she was in 4th place.\nNext, she fell behind 3 spots, so she was in 7th place.\nFinally, she jumped ahead 1 spot to finish the race, so she was in 6th place.\nTherefore, Finley finished the race in 6th place.\n#### 6\nThe answer is: 6", "answer": {"result": 6.0}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total number of basketball cards Miss Maria has. \n\nShe has 6 decks with 25 basketball cards in each deck, so:\n6 decks * 25 cards/deck = 150 basketball cards\n\nNext, let's calculate the total number of baseball cards she has.\n\nShe has 5 boxes with 40 baseball cards in each box, so:\n5 boxes * 40 cards/box = 200 baseball cards\n\nNow, let's find the total number of cards she has before giving some away.\n\nTotal cards = Basketball cards + Baseball cards\nTotal cards = 150 basketball cards + 200 baseball cards\nTotal cards = 350 cards\n\nMiss Maria keeps 50 cards for herself, so she gives away the remaining cards.\n\nCards given away = Total cards - Cards kept\nCards given away = 350 cards - 50 cards\nCards given away = 300 cards\n\nEach student receives 10 cards, so to find out how many students she has given cards to, we divide the number of cards given away by the number of cards each student receives.\n\nNumber of students = Cards given away / Cards per student\nNumber of students = 300 cards / 10 cards/student\nNumber of students = 30 students\n\nMiss Maria has $\\boxed{30}$ students in her class.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total cost for each person after their respective discounts.\n\nFor Becky:\nEach apple costs 45 cents, and she bought 20 apples.\nTotal cost before discount = 20 apples * $0.45/apple = $9.00\nShe received a $1 discount, so the total cost for Becky is $9.00 - $1.00 = $8.00.\n\nFor Kelly:\nEach apple costs 50 cents, and she bought 20 apples.\nTotal cost before discount = 20 apples * $0.50/apple = $10.00\nShe received a 10 percent discount. To calculate the discount amount:\nDiscount amount = 10% of $10.00 = 0.10 * $10.00 = $1.00\nTotal cost for Kelly after discount = $10.00 - $1.00 = $9.00.\n\nNow, let's find out how much more Kelly paid than Becky:\nKelly paid $9.00 and Becky paid $8.00.\nDifference = $9.00 - $8.00 = $1.00.\n\nKelly paid $\\boxed{\\$1.00}$ more than Becky.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "In each room, there are 2 sheets, so for 80 rooms, there are 2*80 = 160 sheets of laundry.\nIn each room, there is 1 comforter, so for 80 rooms, there are 1*80 = 80 comforters.\nIn each room, there are twice as many pillow cases as sheets, so for 80 rooms, there are 2*2*80 = 320 pillow cases.\nIn each room, there are twice as many towels as pillow cases, so for 80 rooms, there are 2*320 = 640 towels.\nAdding up all the pieces of laundry, there are 160 sheets + 80 comforters + 320 pillow cases + 640 towels = 1120 pieces of laundry in total.\n#### 1120\nThe answer is: 1120", "answer": {"result": 1120.0}}, "matches": false} +{"solution": {"solution": "Frank starts with 200 shoes. \n\nOn Monday, he gets 5 pairs of shoes. Since 1 pair equals 2 shoes, he gets 5 * 2 = 10 shoes.\n\nSo after Monday, he has 200 + 10 = 210 shoes.\n\nOn Wednesday, he gains 15 new pairs. Again, 1 pair equals 2 shoes, so he gains 15 * 2 = 30 shoes.\n\nAfter Wednesday, he has 210 + 30 = 240 shoes.\n\nOn Friday, he gains 30 pairs of shoes. That's an additional 30 * 2 = 60 shoes.\n\nAfter Friday, he has 240 + 60 = 300 shoes.\n\nOn Saturday, he gets rid of 180 shoes. So, he subtracts 180 from 300.\n\n300 - 180 = 120 shoes.\n\nTherefore, Frank will have 120 shoes on Sunday.\n\nThe final answer is: 120 shoes.\n\nFinal answer: $\\boxed{120}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Mary has 6 jars of sprinkles, and each jar can decorate 8 cupcakes.\nTo find out how many cupcakes she can decorate in total, we multiply 6 jars by 8 cupcakes per jar: 6 * 8 = 48 cupcakes.\nEach pan holds 12 cupcakes, so to find out how many pans she needs, we divide the total number of cupcakes by the number of cupcakes per pan: 48 / 12 = 4 pans.\nTherefore, Mary should bake 4 pans worth of cupcakes.\n#### 4\nThe answer is: 4", "answer": {"result": 4.0}}, "matches": true} +{"solution": {"solution": "The price of the pen is $2. \n\nThree times the price of the pen is 3 * $2 = $6. \n\nThe piece of paper cost $1 less than three times the price of the pen, so it cost $6 - $1 = $5. \n\nThe total cost of the pen and the paper is $2 (pen) + $5 (paper) = $7. \n\nTheo gave the cashier $10, so the change she received is $10 - $7 = $3. \n\nThe amount of change Theo received is $\\boxed{\\$3}$ .The answer is: 3", "answer": {"result": 3.0}}, "matches": true} +{"solution": {"solution": "\n1. Calculate the initial total number of pencils in the class:\n - Each student started with 10 pencils.\n - There are 30 students.\n - Therefore, the total initial number of pencils is:\n \\[\n 10 \\times 30 = 300 \\text{ pencils}\n \\]\n\n2. Calculate the number of pencils used after two months:\n - After two months, \\(\\frac{1}{5}\\) of the total pencils in the class were used.\n - The number of pencils used is:\n \\[\n \\frac{1}{5} \\times 300 = 60 \\text{ pencils}\n \\]\n\n3. Determine the number of pencils remaining after two months:\n - Subtract the number of used pencils from the total initial number of pencils:\n \\[\n 300 - 60 = 240 \\text{ pencils}\n \\]\n\n4. Calculate the number of pencils remaining at the end of the year:\n - At the end of the year, only \\(\\frac{1}{3}\\) of the remaining pencils were left.\n - The number of pencils remaining is:\n \\[\n \\frac{1}{3} \\times 240 = 80 \\text{ pencils}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{80}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's represent the number of carrot sticks Matt has to eat as x.\nAccording to Matt's dad, he can have half as many cookies as the number of carrot sticks he eats, plus two extra. So, the total number of cookies he can have is x/2 + 2.\nWe know that Matt wants to eat five cookies in total, so we can set up the equation x/2 + 2 = 5.\nTo solve for x, we can subtract 2 from both sides of the equation: x/2 = 3.\nThen, we can multiply both sides of the equation by 2 to isolate x: x = 6.\nTherefore, Matt has to eat 6 carrot sticks.\n#### 6\nThe answer is: 6", "answer": {"result": 6.0}}, "matches": true} +{"solution": {"solution": "First, we need to convert the length of the remoras from inches to feet. Since there are 12 inches in a foot, 2 6-inch remoras are 2 * 6/12 = 1 foot in total.\n\nNext, we need to calculate the combined length of the remoras as a percentage of the shark's body length. The shark is 10 feet long, and the remoras are 1 foot long.\n\nTo find the percentage, we use the formula: (part / whole) * 100.\n\nIn this case, the \"part\" is the length of the remoras (1 foot), and the \"whole\" is the length of the shark (10 feet).\n\n(1 / 10) * 100 = 10%\n\nTherefore, the combined length of the remoras is 10% of the shark's body length.\n\nThe answer is: 10", "answer": {"result": 10.0}}, "matches": true} +{"solution": {"solution": "Let's say the total number of students at the grade level is $x$.\nAccording to the problem, three-fourths of the students have a desktop computer, so one-fourth do not have a desktop computer.\nWe are given that 20 students do not have a desktop computer, so one-fourth of the total number of students is 20.\nWe can write this as $\\frac{1}{4}x = 20$.\nTo find $x$, we can multiply both sides of the equation by 4:\n$x = 20 \\times 4 = 80$.\nTherefore, there are $\\boxed{80}$ students at that grade level.The answer is: 80", "answer": {"result": 80.0}}, "matches": true} +{"solution": {"solution": "There are 7 days in a week, so in three weeks, there are 3 x 7 = 21 days.\nJason wants to walk 4 days a week, so in three weeks, he will walk 4 x 3 = 12 days.\nIt takes 240 minutes to break in a new pair of shoes, so Jason needs to spend 240 / 12 = 20 minutes walking each day.\n#### 20\nThe answer is: 20", "answer": {"result": 20.0}}, "matches": true} +{"solution": {"solution": "To find out how many books each child received, we first need to determine how many books Sarah bought in total. Since each book costs $15 and she spent $300, we can calculate the number of books by dividing the total amount spent by the cost per book.\n\nNumber of books = Total amount spent / Cost per book\nNumber of books = $300 / $15\nNumber of books = 20\n\nNow that we know Sarah bought 20 books, we can find out how many books each child received by dividing the total number of books by the number of children.\n\nBooks per child = Total number of books / Number of children\nBooks per child = 20 / 4\nBooks per child = 5\n\nSo, each child received $\\boxed{5}$ books.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how many kids aren't allergic to anything, we can use the principle of inclusion-exclusion. \n\nFirst, we add the number of kids allergic to dairy and the number of kids allergic to peanuts:\n\n9 (dairy allergic) + 6 (peanut allergic) = 15\n\nHowever, this count includes the 3 kids who are allergic to both, so we've counted them twice. To correct for this, we subtract the number of kids allergic to both dairy and peanuts:\n\n15 - 3 (both allergic) = 12\n\nSo, there are 12 kids who are allergic to either dairy or peanuts (or both). \n\nNow, to find out how many kids aren't allergic to anything, we subtract this number from the total number of kids in the class:\n\n32 (total kids) - 12 (allergic to dairy or peanuts) = 20\n\nTherefore, there are $20$ kids in Gina's class who aren't allergic to either dairy or peanuts.\n\nAnswer: \\boxed{20}", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nTo find the total number of people going on the tour, we need to calculate the number of employees and the number of tour guides separately, then add them together.\n\n1. Number of Employees:\n - There are 3 groups, each consisting of 200 employees.\n - Therefore, the total number of employees is:\n \\[\n 3 \\times 200 = 600\n \\]\n\n2. Number of Tour Guides:\n - Each group is assigned 7 tour guides, and there are 3 groups.\n - Therefore, the total number of tour guides is:\n \\[\n 3 \\times 7 = 21\n \\]\n\n3. Total Number of People:\n - To find the total number of people going on the tour, we add the number of employees to the number of tour guides:\n \\[\n 600 + 21 = 621\n \\]\n\n### Conclusion:\n\nThe total number of people going on the tour is:\n\\[\n\\boxed{621}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The normal price of the hotel per day is $1500.\nThe hotel is 20% more expensive than normal, so the increased price is 1500 + (1500 * 20%) = $1800 per day.\nThey are there for 3 days, so the total cost for the hotel is 1800 * 3 = $5400.\nThe plane tickets cost $5000 each, so for both of them, it's 5000 * 2 = $10000.\nThe total cost of the trip is the cost of the hotel plus the cost of the plane tickets, so it's 5400 + 10000 = $15400.\n#### 15400\nThe answer is: 15400", "answer": {"result": 15400.0}}, "matches": true} +{"solution": {"solution": "Ben has 4 tubes of blue paint and 3 tubes of yellow paint.\nJasper has half as many tubes of blue paint as Ben, so he has 4 / 2 = 2 tubes of blue paint.\nJasper also has three times as many tubes of yellow paint as Ben, so he has 3 * 3 = 9 tubes of yellow paint.\nIn total, Jasper has 2 + 9 = 11 tubes of paint.\n#### 11\nThe answer is: 11", "answer": {"result": 11.0}}, "matches": true} +{"solution": {"solution": "1. **Determine the weight of the 2010 penny**: Given that the 2010 penny is three-quarters the weight of the 1959 penny:\n \\[\n \\text{Weight of 2010 penny} = \\frac{3}{4} \\times 48 = 36 \\text{ grains}\n \\]\n\n2. **Calculate the total weight of the two pennies**: Add the weights of the 1959 penny and the 2010 penny:\n \\[\n \\text{Total weight} = 48 \\text{ grains (1959 penny)} + 36 \\text{ grains (2010 penny)} = 84 \\text{ grains}\n \\]\n\n3. **Conclusion**: The total combined weight of the two pennies is:\n \\[\n \\boxed{84 \\text{ grains}}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Keegan had earned $83 and Tasha had earned $91, so together they had earned $83 + $91 = $174. \n\nThey needed to raise $200 in total, so they still needed to earn $200 - $174 = $26. \n\nTherefore, they needed to earn $26 more to reach their goal. \n\n#### 26\nThe answer is: 26", "answer": {"result": 26.0}}, "matches": true} +{"solution": {"solution": "Gabriel has 20 songs on his player, so he has 100 - 20 = 80 songs available to add.\nLuri has 3 times as many songs as Gabriel, so Luri has 3 * 20 = 60 songs on her player.\nLuri also has 100 - 60 = 40 songs available to add.\nTherefore, Luri can add 80 - 40 = 40 fewer songs to her player than Gabriel can add to his.\n#### 40\nThe answer is: 40", "answer": {"result": 40.0}}, "matches": true} +{"solution": {"solution": "\nStetson ate 2/5 of the 60 oranges, so he ate 2/5 * 60 = 24 oranges.\nFor each orange he ate, he gave up $10, so he gave up 24 * $10 = $240.\n#### 240\nThe answer is: 240", "answer": {"result": 240.0}}, "matches": true} +{"solution": {"solution": "To find out how much Jillian's handbag cost, we start by calculating three times the cost of her shoes. Given that her shoes cost $80, the calculation is as follows:\n\n- First, we find 3 times the cost of her shoes: $80 \\times 3 = \\$240.\n\nNext, we subtract the $20 difference from this total to find the cost of her handbag:\n\n- Subtracting $20 from the total cost of 3 times her shoes: \\$240 - \\$20 = \\$220.\n\nTherefore, the cost of Jillian's handbag is $\\boxed{\\$220}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "James runs 12 miles a day for 5 days a week, so he runs a total of 12 miles/day * 5 days = 60 miles in a week. \n\nIf he runs 10 miles an hour, then to find out how many hours he runs in a week, we divide the total miles by his running speed: \n\n60 miles / 10 miles/hour = 6 hours. \n\nTherefore, James runs for $\\boxed{6}$ hours a week.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Each horse consumes 5 pounds of oats per meal, so each horse consumes 5 x 2 = 10 pounds of oats per day. \nSince Uncle Ben has four horses, he needs 10 x 4 = 40 pounds of oats per day. \nHe needs oats for five days, so he needs 40 x 5 = 200 pounds of oats in total. \nOne bag contains 50 pounds of oats, so Uncle Ben needs 200 / 50 = 4 bags of oats. \n#### 4\nThe answer is: 4", "answer": {"result": 4.0}}, "matches": true} +{"solution": {"solution": "Two thirds of Jana's puppies are Pomeranians, so there are 27 * 2/3 = 18 Pomeranians.\nOne third of the Pomeranians are girls, so there are 18 * 1/3 = 6 girl Pomeranians.\nJana has 6 girl Pomeranians.\n#### 6\nThe answer is: 6", "answer": {"result": 6.0}}, "matches": true} +{"solution": {"solution": "To find the average highest temperature of Southlandia, Northlandia, and Midlandia, we need to sum their highest recorded temperatures and then divide by the number of countries. \n\n1. Sum of highest temperatures:\n - Southlandia: -48\u00b0F\n - Northlandia: 21\u00b0F\n - Midlandia: -3\u00b0F\n\n \\[\n \\text{Sum} = (-48) + 21 + (-3) = -48 + 21 - 3 = -30\u00b0F\n \\]\n\n2. Count of countries:\n - There are 3 countries: Southlandia, Northlandia, and Midlandia.\n\n3. Calculate average:\n \\[\n \\text{Average} = \\frac{\\text{Sum}}{\\text{Count}} = \\frac{-30}{3} = -10\u00b0F\n \\]\n\nConclusion:\n\\[\n\\boxed{-10 \\text{ Fahrenheit}}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The child needs to save $12 - $4 = $8 more.\n\nIf he saves $2 daily, it will take him $8 / $2 = 4 days to save the remaining amount of money.\n\n#### 4\nThe answer is: 4", "answer": {"result": 4.0}}, "matches": true} +{"solution": {"solution": "To solve this problem, we follow these steps:\n\n1. Calculate the total capacity of the trays: Since each tray can hold 24 eggs and Jaime has 2 trays, the total capacity is calculated as:\n\\[24 \\, \\text{eggs/tray} \\times 2 \\, \\text{trays} = 48 \\, \\text{eggs}\\]\n\n2. Determine how many eggs Jaime has: Jaime has 64 eggs in total.\n\n3. Find out how many eggs he won't be able to place: To do this, subtract the total capacity of the trays from the total number of eggs Jaime has:\n\\[64 \\, \\text{eggs} - 48 \\, \\text{eggs} = 16 \\, \\text{eggs}\\]\n\nTherefore, Jaime won't be able to place $\\boxed{16}$ eggs on the trays.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The family-size pizza costs 3 times as much as the small pizza, so it costs 3 * $8 = $24. \n\nThe total cost for both pizzas is $8 (small pizza) + $24 (family-size pizza) = $32. \n\nTherefore, Sally spends $\\boxed{\\$32}$ in all.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Heather buys 2 packs of razors, so she will have a total of 2 x 4 = 8 razors.\n\nThe cost of one pack is $4.00, and she is getting a buy one get one free deal, so she will only pay for one pack.\n\nThe cost of one pack is $4.00, and she has a $2.00 coupon, so the total cost after the coupon is $4.00 - $2.00 = $2.00.\n\nHeather bought 2 packs, so the total cost for 8 razors is $2.00.\n\nTo find the cost per razor, we divide the total cost by the number of razors: $2.00 / 8 = $0.25 per razor.\n\nTo convert this to cents, we multiply by 100: $0.25 x 100 = 25 cents.\n\nSo, each individual razor will cost 25 cents after the discount.\n\n#### 25\nThe answer is: 25", "answer": {"result": 25.0}}, "matches": true} +{"solution": {"solution": "To solve this problem, we need to calculate the total height of the cheerleaders in the human pyramid by considering the number of cheerleaders at each level and their heights. \n\n1. **Calculate the height of the bottom level**: There are 4 cheerleaders at the bottom, and each is 64 inches tall. Therefore, the total height of the bottom level is calculated as follows:\n \\[\n 4 \\times 64 = 256 \\text{ inches}\n \\]\n\n2. **Calculate the height of the second level**: On top of the 4 cheerleaders, there are 3 more cheerleaders, each of whom is 64 inches tall. Thus, the total height of the second level is:\n \\[\n 3 \\times 64 = 192 \\text{ inches}\n \\]\n\n3. **Calculate the height of the third level**: On top of the 3 cheerleaders, there are 2 more cheerleaders, both of whom are 64 inches tall. The total height of the third level is:\n \\[\n 2 \\times 64 = 128 \\text{ inches}\n \\]\n\n4. **Calculate the total height of the pyramid**: To find the total height of the pyramid, we add the heights of each level together:\n \\[\n 256 + 192 + 128 = 576 \\text{ inches}\n \\]\n\n5. **Convert the total height from inches to feet**: Since 1 foot is equal to 12 inches, we divide the total height in inches by 12 to convert it to feet:\n \\[\n \\frac{576}{12} = 48 \\text{ feet}\n \\]\n\nTherefore, the total height of the human pyramid is $\\boxed{48}$ feet.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Charisma works 8 hours every day, so she has 8 x 5 = 40 hours in a week.\nShe gets up to walk for 5 minutes every hour, so she walks 5 x 40 = 200 minutes in a week.\n#### 200\nThe answer is: 200", "answer": {"result": 200.0}}, "matches": true} +{"solution": {"solution": "\nIn four years, Brett will be 14 + 4 = 18 years old.\nIn four years, Angela will be three times as old as Brett is now, so she will be 3 * 14 = 42 years old.\nSince Angela will be 42 years old in four years, she is currently 42 - 4 = 38 years old.\n#### 38\nThe answer is: 38", "answer": {"result": 38.0}}, "matches": true} +{"solution": {"solution": "\n1. **Calculate the total number of days**: \n Paul drives his car for 14 days.\n\n2. **Determine the number of morning rides per day**: \n Each day, Paul drives his car twice, once in the morning and once in the afternoon.\n\n3. **Calculate the total number of morning rides**:\n \\[\n 14 \\text{ days} \\times 1 \\text{ morning ride/day} = 14 \\text{ morning rides}\n \\]\n\n4. **Calculate the total number of afternoon rides**:\n Since Paul drives his car twice a day, the number of afternoon rides will also be:\n \\[\n 14 \\text{ days} \\times 1 \\text{ afternoon ride/day} = 14 \\text{ afternoon rides}\n \\]\n\n5. **Determine the cost of morning rides**:\n Each morning ride costs $6. Therefore, the total cost for all morning rides is:\n \\[\n 14 \\text{ morning rides} \\times \\$6/\\text{ride} = \\$84\n \\]\n\n6. **Determine the cost of afternoon rides**:\n Each afternoon ride costs $2. Therefore, the total cost for all afternoon rides is:\n \\[\n 14 \\text{ afternoon rides} \\times \\$2/\\text{ride} = \\$28\n \\]\n\n7. **Calculate the total cost for both morning and afternoon rides**:\n Sum the costs of morning and afternoon rides:\n \\[\n \\$84 + \\$28 = \\$112\n \\]\n\n8. **Conclusion**:\n Paul spent a total of $\\$112$ on driving his car over the two weeks.\n\n\\[\n\\boxed{\\$112}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Ashley brought 5 boxes x 10 oranges/box = 50 oranges.\nBrianne brought 50 oranges + 20 oranges = 70 oranges.\nTogether, they have 50 oranges + 70 oranges = 120 oranges.\nThey can make 120 oranges / 3 oranges per pie = 40 greek orange pies.\n#### 40\nThe answer is: 40", "answer": {"result": 40.0}}, "matches": true} +{"solution": {"solution": "Let's denote the number of guests as \\( x \\).\n\nFor the first venue, the total cost is a flat fee of $200 plus $5 per person for food, so the total cost is \\( 200 + 5x \\).\n\nFor the second venue, the cost is $25 per person for attendance, and there is no additional cost for food since it's included. So the total cost is \\( 25x \\).\n\nTo find out when the two venues cost the same, we set the two expressions equal to each other:\n\n\\( 200 + 5x = 25x \\)\n\nNow, we solve for \\( x \\):\n\nSubtract \\( 5x \\) from both sides:\n\n\\( 200 = 25x - 5x \\)\n\n\\( 200 = 20x \\)\n\nDivide both sides by 20:\n\n\\( x = \\frac{200}{20} \\)\n\n\\( x = 10 \\)\n\nSo, Mark would need 10 guests for the two venues to be equal in cost. However, this would result in a higher cost for the first venue because the flat fee of $200 would be added to the cost of feeding 10 guests at $5 each. Let's check if this is indeed correct:\n\nFor the first venue:\n\n\\( 200 + 5 \\times 10 = 200 + 50 = 250 \\)\n\nFor the second venue:\n\n\\( 25 \\times 10 = 250 \\)\n\nIndeed, both venues would cost $250 for 10 guests, but the first venue's cost does not include food if fewer guests are invited. Therefore, to make the two venues equal in cost regardless of the number of guests, we need to adjust the flat fee of the first venue to include the cost of feeding all the guests.\n\nLet's calculate the flat fee required for the first venue to be equal in cost for any number of guests:\n\n\\( 25x = 200 + 5x \\)\n\n\\( 20x = 200 \\)\n\n\\( x = \\frac{200}{20} \\)\n\n\\( x = 10 \\)\n\nSo, if Mark wants the two venues to be equal in cost for any number of guests, he should choose the venue with the flat fee of $200, as long as he accounts for the $5 per person food cost in the flat fee. This way, for any number of guests, the cost will be the same as the second venue, which includes food in its per-person charge.\n\nThe final answer is that Mark should choose the venue with the flat fee of $200, as it will be equal in cost to the second venue for any number of guests, as long as he accounts for the food cost in the flat fee.\n\n\\[\n\\boxed{200 \\text{ flat fee}}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote the number of insects David found as $D$. According to the problem, Lily found 7 more than David, so Lily found $D + 7$ insects. David found half of what Bodhi found, so Bodhi found $2D$ insects.\n\nThe total number of insects found by all three is 43. Therefore, we can write the equation:\n\n$$D + (D + 7) + 2D = 43$$\n\nCombining like terms, we get:\n\n$$4D + 7 = 43$$\n\nSubtracting 7 from both sides, we have:\n\n$$4D = 36$$\n\nDividing both sides by 4, we find:\n\n$$D = 9$$\n\nNow that we know David found 9 insects, we can find out how many Lily found:\n\n$$Lily = D + 7 = 9 + 7 = 16$$\n\nSo, Lily found $\\boxed{16}$ insects.The answer is: 16", "answer": {"result": 16.0}}, "matches": true} +{"solution": {"solution": "Mariah used 1/4 of a skein of yarn, which means she used (1/4) * 364 = 91 yards of yarn.\nHer grandma used 1/2 of a skein of yarn, which means she used (1/2) * 364 = 182 yards of yarn.\nAltogether, they used 91 + 182 = 273 yards of yarn.\n#### 273\nThe answer is: 273", "answer": {"result": 273.0}}, "matches": true} +{"solution": {"solution": "Cherrie has 5 friends and 2 of them want 5 gifts each, so that's 2 x 5 = 10 gifts. \n\nThe other 3 friends want 2 gifts each, so that's 3 x 2 = 6 gifts. \n\nCherrie also decides to buy 10 more random gifts, so that's an additional 10 gifts. \n\nIn total, Cherrie bought 10 (for the first 2 friends) + 6 (for the other 3 friends) + 10 (random gifts) = $\\boxed{26}$ gifts.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The width of the rug is 5 feet wider than the chair, so it is 3 + 5 = 8 feet wide.\n\nTwice the width of the rug is 2 * 8 = 16 feet.\n\nThe couch is 2 feet longer than twice the width of the rug, so it is 16 + 2 = 18 feet long.\n\nTherefore, the couch is $\\boxed{18}$ feet long.The answer is: 18", "answer": {"result": 18.0}}, "matches": true} +{"solution": {"solution": "Let's call the cost of each pack of strawberry gum \"S\". Suzie bought two packs of strawberry gum, so she spent 2S dollars on those. She also bought a pack of grape gum for $2 and a small pack of green apple gum for half the price of the grape gum, which is 2/2 = $1. \n\nThe total amount she spent is the sum of the money spent on strawberry gum, grape gum, and green apple gum, which is 2S + $2 + $1 = $7. \n\nSo, 2S + $3 = $7. \n\nSubtracting $3 from both sides of the equation gives us 2S = $7 - $3 = $4. \n\nDividing both sides by 2 gives us S = $4 / 2 = $2. \n\nTherefore, each pack of strawberry gum cost $\\boxed{\\$2}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To determine the most popsicle sticks Frederick can make with the $24 he has, we need to calculate the maximum number of sticks he can get from each type of lumber and then choose the option that gives him the most sticks for the least amount of money.\n\n1. **Calculate sticks from a 2 x 4:**\n - Cost of a 2 x 4: $4\n - Sticks per 2 x 4: 200\n - Maximum sticks from a 2 x 4 with $24: \\(\\frac{24}{4} = 6\\) (since each 2 x 4 costs $4, he can buy 6 of them)\n - Total sticks from 2 x 4: \\(6 \\times 200 = 1200\\)\n\n2. **Calculate sticks from a 2 x 8:**\n - Cost of a 2 x 8: $6\n - Sticks per 2 x 8: 400\n - Maximum sticks from a 2 x 8 with $24: \\(\\frac{24}{6} = 4\\) (since each 2 x 8 costs $6, he can buy 4 of them)\n - Total sticks from 2 x 8: \\(4 \\times 400 = 1600\\)\n\n3. **Compare the total sticks:**\n - Total sticks from 2 x 4: 1200\n - Total sticks from 2 x 8: 1600\n\nSince Frederick can get more sticks by choosing the 2 x 8 lumber, the most popsicle sticks he can make is 1600.\n\nFinal Answer: $\\boxed{1600}$", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Mario has 6 sled dogs, and each dog has 4 legs.\nSo, he needs a total of 6 x 4 = 24 snowshoes.\nEach pair of snowshoes costs $12.00, so Mario will need to spend 24 / 2 x $12.00 = $72.00 to buy snowshoes for all of his dogs.\n#### 72\nThe answer is: 72", "answer": {"result": 72.0}}, "matches": false} +{"solution": {"solution": "First, let's calculate how much Janet spends on bus trips in a week without the pass.\n\n1. Each bus trip costs $2.20.\n2. Janet takes two bus trips a day.\n3. There are five days in a week.\n4. So, the total cost per week without the pass is $2.20/trip * 2 trips/day * 5 days/week = $22.\n\nNext, let's calculate how much Janet would save by buying a weekly bus pass for $20:\n\n1. The cost of the weekly bus pass is $20.\n2. Without the pass, Janet spends $22 per week.\n3. Therefore, the savings per week with the pass is $22 - $20 = $2.\n\nFinal answer: Janet would save $\\$2$ per week by buying a weekly bus pass.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The farm has 30 cows.\nThe zoo has twice as many cows as the farm, so the zoo has 2 * 30 = 60 cows.\nThe farm has half as many sheep as the zoo, so the farm has 1/2 * 20 = 10 sheep.\nThe zoo has 20 sheep.\nThe total number of animals on the farm is 30 cows + 10 sheep = 40 animals.\nThe total number of animals on the zoo is 60 cows + 20 sheep = 80 animals.\nCombined, the farm and zoo have 40 + 80 = 120 animals.\n#### 120\nThe answer is: 120", "answer": {"result": 120.0}}, "matches": true} +{"solution": {"solution": "If Rose bought 12 onions and 4 potatoes, and she bought 4 times the number of onions and potatoes that Sophia bought, then Sophia bought 12/4 = 3 onions.\nSimilarly, Sophia bought 4/4 = 1 potato.\nTherefore, Sophia bought a total of 3 onions + 1 potato = 4 onions and potatoes at the market.\n#### 4\nThe answer is: 4", "answer": {"result": 4.0}}, "matches": true} +{"solution": {"solution": "To lose 30 pounds, Andy needs to burn 30 pounds * 3500 calories/pound = 105000 calories in total.\n\nAndy has 6 months (from December 31st to July 19th) to achieve this goal.\n\nThe total number of days in 6 months is 6 * 30 = 180 days.\n\nTo find out how much of a calorie deficit Andy needs each day, we divide the total calories to be burned by the total number of days:\n\n105000 calories / 180 days = 583.33 calories/day\n\nSo, Andy needs to create a daily calorie deficit of approximately $\\boxed{583}$ calories to reach his goal.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Gerald worked for an entire week, which is 7 days.\nHe earns $30 every day, so in total, he earned 7 * $30 = $210.\nHe spent a total of $100, so he has $210 - $100 = $110 left.\n#### 110\nThe answer is: 110", "answer": {"result": 110.0}}, "matches": true} +{"solution": {"solution": "\n\nIf each lap is 0.25 km, then 8 laps is 8 * 0.25 = 2 km. \n\nHannah needs to drink 60 ml of water for each kilometer she runs, so for 2 km, she needs to drink 2 * 60 = 120 ml of water. \n\nTherefore, Hannah will need to drink 120 ml of water. \n\n#### 120\nThe answer is: 120", "answer": {"result": 120.0}}, "matches": true} +{"solution": {"solution": "Julie spent 20% of $500 on clothes, which is 0.20 * $500 = $100. \nAfter spending $100 on clothes, Julie had $500 - $100 = $400 remaining. \nThen, Julie spent 25% of the remaining $400 on CDs, which is 0.25 * $400 = $100. \nAfter spending $100 on CDs, Julie had $400 - $100 = $300 left. \n\n#### 300\nThe answer is: 300", "answer": {"result": 300.0}}, "matches": true} +{"solution": {"solution": "Let's assume the cost of the lot is x dollars.\nSince the house cost three times as much as the lot, the cost of the house is 3x dollars.\nThe total cost of the house and the lot is x + 3x = 4x dollars.\nWe know that the total cost is $120,000, so 4x = $120,000.\nTo find the cost of the house, we need to solve for x.\nDividing both sides of the equation by 4, we get x = $120,000 / 4 = $30,000.\nTherefore, the cost of the house is 3x = 3 * $30,000 = $90,000.\n#### 90000\nThe answer is: 90000", "answer": {"result": 90000.0}}, "matches": true} +{"solution": {"solution": "Tara bought 8 packs of 5 canvas bags, so she bought a total of 8 * 5 = 40 canvas bags. \n\nEach pack cost $4, so the total cost for all the bags was 40 * $4 = $160. \n\nShe sold each bag for $8, so for 40 bags, she earned 40 * $8 = $320. \n\nTo find the profit, we subtract the total cost from the total earnings: $320 - $160 = $160. \n\nTara earned a profit of $\\boxed{\\$160}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Joe throws 25 punches per minute, and each round lasts 3 minutes, so in one round, he throws 25 punches/minute x 3 minutes = 75 punches.\n\nSince there are 5 rounds in a fight, the total number of punches Joe throws in the fight is 75 punches/round x 5 rounds = 375 punches. \n\nTherefore, Joe threw a total of $\\boxed{375}$ punches in the fight.The answer is: 375", "answer": {"result": 375.0}}, "matches": true} +{"solution": {"solution": "If Suzanne made 36 cookies, then Josh made 1/4 * 36 = 9 cookies.\n\nSince Kelsie made two times more cookies than Josh, she made 2 * 9 = 18 cookies.\n\nTherefore, Kelsie made $\\boxed{18}$ cookies.The answer is: 18", "answer": {"result": 18.0}}, "matches": true} +{"solution": {"solution": "\nAli has four $10 bills, so he has a total of 4 * $10 = $40 from the $10 bills.\nHe also has six $20 bills, so he has a total of 6 * $20 = $120 from the $20 bills.\nIn total, Ali has $40 + $120 = $160.\n\nAli gives half of his total money to his sister, so he gives away 1/2 * $160 = $80.\n\nAfter giving away $80, Ali is left with $160 - $80 = $80.\n\nAli uses 3/5 of the remaining amount to buy dinner, so he spends 3/5 * $80 = $48 on dinner.\n\nAfter buying dinner, Ali has $80 - $48 = $32 left.\n\n#### 32\nThe answer is: 32", "answer": {"result": 32.0}}, "matches": true} +{"solution": {"solution": "To solve the problem, we follow these steps:\n\n1. First, we convert the time Rob takes to shingle a house from hours to minutes. Since there are 60 minutes in an hour, Rob takes $2 \\times 60 = 120$ minutes to shingle a house.\n\n2. Next, we calculate double the time Rob takes. Double Rob's time is $2 \\times 120 = 240$ minutes.\n\n3. Finally, we add the additional 40 minutes Royce takes compared to double Rob's time. Therefore, Royce takes $240 + 40 = 280$ minutes to shingle a house.\n\nPutting it all together, Royce takes $\\boxed{280}$ minutes to shingle a house.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the total number of skeins Martha needs to buy for her three grandchildren, we need to sum up the skeins required for each item of clothing for one grandchild and then multiply by three. \n\n- For a hat, it takes 2 skeins. \n- For a scarf, it takes 4 skeins. \n- For a sweater, it takes 12 skeins. \n- For a pair of mittens, it takes 1 skein. \n- For a pair of socks, it takes 2 skeins. \n\nAdding these together for one grandchild gives us:\n\\[2 + 4 + 12 + 1 + 2 = 21\\] skeins.\n\nSince Martha is making these items for three grandchildren, we multiply the total skeins needed for one grandchild by three:\n\\[21 \\times 3 = 63\\] skeins.\n\nTherefore, Martha will need to buy $\\boxed{63}$ skeins of wool.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Chris completes 12 problems on Monday. On Tuesday, he completes 3 times as many problems as he did on Monday, so he completes 3 * 12 = 36 problems on Tuesday.\n\nThe total problems completed after Monday and Tuesday is 12 + 36 = 48 problems.\n\nThe remaining problems after Tuesday are 100 - 48 = 52 problems.\n\nOn Wednesday, he completes one-quarter of the remaining 52 problems, which is 52 * 1/4 = 13 problems.\n\nThe number of problems remaining after Wednesday is 52 - 13 = 39 problems.\n\nTherefore, Chris has $\\boxed{39}$ math problems left to complete on Thursday.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Tony can pick 6 quarts of strawberries per hour.\nBobby picks one less quart than Tony, so Bobby picks 6 - 1 = 5 quarts of strawberries per hour.\nKathy picks twice as many strawberries per hour as Bobby, so Kathy picks 5 * 2 = 10 quarts of strawberries per hour.\nRicky picks two fewer quarts than Kathy, so Ricky picks 10 - 2 = 8 quarts of strawberries per hour.\n\nIn total, Tony, Bobby, Ricky, and Kathy can pick 6 + 5 + 10 + 8 = 29 quarts of strawberries per hour.\n\n#### 29\nThe answer is: 29", "answer": {"result": 29.0}}, "matches": true} +{"solution": {"solution": "The bakers started with 200 loaves. They sold 93 in the morning and 39 in the afternoon, which totals 93 + 39 = 132 loaves sold. \n\nAfter selling, they had 200 - 132 = 68 loaves left. \n\nThe grocery store returned 6 unsold loaves, so the bakers now have 68 + 6 = 74 loaves left. \n\nTherefore, they have 74 loaves of bread left.\n\nAnswer:\n\n$74$", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nJackson can fit 6 red tulips in a row, so he will have 36 red tulips / 6 red tulips per row = 6 rows of red tulips.\n\nJackson can fit 8 blue tulips in a row, so he will have 24 blue tulips / 8 blue tulips per row = 3 rows of blue tulips.\n\nIn total, Jackson will plant 6 rows of red tulips + 3 rows of blue tulips = 9 rows of flowers.\n\n#### 9\nThe answer is: 9", "answer": {"result": 9.0}}, "matches": true} +{"solution": {"solution": "First, calculate the total amount of raisins Heather will use for the cookies:\n- 3/4 of a cup per batch of cookies\n- To find out how many batches of cookies she can make, divide the total cups of raisins by the amount per batch:\n \\[\n \\text{Number of batches} = \\frac{27 \\text{ cups}}{3/4 \\text{ cup/batch}} = 27 \\times \\frac{4}{3} = 36 \\text{ batches}\n \\]\n\nNext, account for the equal distribution among cookies, granola, and snack mix:\n- Divide the calculated batches by 3 (one for each type):\n \\[\n \\text{Batches per type} = \\frac{36 \\text{ batches}}{3} = 12 \\text{ batches}\n \\]\n\nThus, Heather can make $\\boxed{12}$ batches of oatmeal cookies.\n\nConclusion:\nHeather can make 12 batches of oatmeal cookies with the remaining raisins for granola and snack mix after equally distributing the total quantity.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Ada's daily electric consumption is 12 kilowatts per hour, so her weekly electric consumption is 12 kilowatts/hour x 24 hours/day x 7 days/week = 2016 kilowatt-hours.\nAfter adding the new device, her total daily consumption will be 12 kilowatts/hour + 2 kilowatts/hour = 14 kilowatts/hour.\nHer new weekly electric consumption will be 14 kilowatts/hour x 24 hours/day x 7 days/week = 2352 kilowatt-hours.\nThe difference in her weekly electric bill before and after adding the new device is 2352 kilowatt-hours - 2016 kilowatt-hours = 336 kilowatt-hours.\nSince a kilowatt-hour is $1.50, the difference in her weekly electric bill is 336 kilowatt-hours x $1.50/kilowatt-hour = $504.\n#### 504\nThe answer is: 504", "answer": {"result": 504.0}}, "matches": false} +{"solution": {"solution": "If one person can paint half a house in 5 days, then that person can paint the entire house in 10 days (since painting half a house twice is equivalent to painting a whole house). \n\nNow, if 5 people are working together, we can consider their combined work as the work of 5 individuals, each working at the rate of one person. \n\nSince one person can do the job in 10 days, 5 people working together would theoretically do the job in 1/5 of the time it takes one person. \n\nSo, the time it would take for 5 people to paint a whole house is 10 days divided by 5, which equals 2 days.\n\nTo convert this into hours, we know there are 24 hours in a day, so:\n\n2 days * 24 hours/day = 48 hours\n\nTherefore, it would take 5 people $\\boxed{48}$ hours to paint a whole house.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Ophelia has 20 sofas, and she has 2 fewer sofas than chairs, then she has 20 + 2 = 22 chairs.\n\nJenna has 3 times as many chairs as Ophelia, so Jenna has 3 * 22 = 66 chairs.\n\nSince Jenna has 2 fewer sofas than chairs, Jenna has 66 - 2 = 64 sofas.\n\nTogether, Ophelia and Jenna have 20 (Ophelia's sofas) + 64 (Jenna's sofas) = 84 sofas in total.\n\nThey also have 22 (Ophelia's chairs) + 66 (Jenna's chairs) = 88 chairs in total.\n\nTherefore, the total number of sofas and chairs they have together is 84 sofas + 88 chairs = $\\boxed{172}$ pieces of furniture.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. Identify the cost of the CD and the headphone set.\n - Cost of the CD: $4\n - Cost of the headphone set: $48 - $4 = $44\n\n2. Calculate how many CDs Tom could have bought with the amount spent on the headphone set.\n - Number of CDs = Cost of headphone set / Cost of one CD\n - Number of CDs = $44 / $4 = 11\n\n3. State the final answer.\n - Tom could have bought $\\boxed{11}$ more CDs if he had not bought the headphone set.\n\nConclusion:\n- The problem is solvable with the given information.\n- Each step logically follows from the previous one.\n- The answer is unique and directly derived from the calculations.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Josh spent 4 hours working out every week except on some occasions. \n\nFor 6 weeks (8 weeks - 2 weeks of extra hours), he spent 4 hours each week. \nSo, for these 6 weeks, he spent 4 hours/week * 6 weeks = 24 hours.\n\nDuring the two consecutive weeks, he spent 5 hours each week.\nSo, for these 2 weeks, he spent 5 hours/week * 2 weeks = 10 hours.\n\nIn another week, he spent 6 hours.\n\nAdding up all the hours, Josh spent 24 hours + 10 hours + 6 hours = 40 hours working out across the 8 weeks.\n\n#### 40\nThe answer is: 40", "answer": {"result": 40.0}}, "matches": false} +{"solution": {"solution": "1. **Initial Number of Passengers:**\n The bus starts with 48 passengers.\n\n2. **At the First Stop:**\n - 8 passengers get off the bus.\n - Number of passengers on the bus after getting off:\n \\[\n 48 - 8 = 40\n \\]\n - 5 times as many people as got off get on the bus. Therefore, the number of new passengers getting on the bus is:\n \\[\n 5 \\times 8 = 40\n \\]\n - Number of passengers on the bus after new passengers get on:\n \\[\n 40 + 40 = 80\n \\]\n\n3. **At the Second Stop:**\n - 21 passengers get off the bus.\n - Number of passengers on the bus after getting off:\n \\[\n 80 - 21 = 59\n \\]\n - 3 times fewer passengers get on the bus than got off at the first stop. Therefore, the number of new passengers getting on the bus is:\n \\[\n \\frac{8}{3} = 2.667 \\approx 2 \\quad \\text{(since we can't have a fraction of a person)}\n \\]\n - Number of passengers on the bus after new passengers get on:\n \\[\n 59 + 2 = 61\n \\]\n\n### Conclusion:\nAfter the second stop, there are 61 passengers on the bus.\n\n\\[\n\\boxed{61}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nIn 5 years, Jame will be 27 + 5 = 32 years old. \n\nIn 8 years, his cousin will be 32 * 2 - 5 = 59 years old. \n\nCurrently, Jame is 27 - 5 = 22 years old. \n\nCurrently, his cousin is 59 - 8 = 51 years old. \n\nThe age difference between them now is 51 - 22 = 29 years. \n\n#### 29\nThe answer is: 29", "answer": {"result": 29.0}}, "matches": false} +{"solution": {"solution": "Errol bought a computer for $1,100 and paid $400 less for the printer than the computer. \n\nSo, the printer cost $1,100 - $400 = $700.\n\nThe total cost of the computer and printer is $1,100 + $700 = $1,800.\n\nThe total cost of the computer, 2 monitors, and the printer is $2,400.\n\nTo find the cost of the two monitors, we subtract the cost of the computer and printer from the total cost: $2,400 - $1,800 = $600.\n\nSince Errol bought 2 monitors, we divide the cost of the monitors by 2 to find the cost of one monitor: $600 / 2 = $300.\n\nTherefore, one monitor cost $\\boxed{\\$300}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. First, let's determine the total number of boys and girls. Since there are 20 kids in total and they are divided into two equal groups, there are:\n\\[ \\frac{20}{2} = 10 \\]\nboys and 10 girls.\n\n2. Each boy brought back 60 seashells. Therefore, the total number of seashells brought by the boys is:\n\\[ 60 \\times 10 = 600 \\]\nseashells.\n\n3. The problem states that the girls brought an amount equal to the number of shells brought by the boys plus four times as many seashells as the boys.\n\n4. The additional seashells brought by the girls, which is four times the number brought by the boys, is:\n\\[ 4 \\times 600 = 2400 \\]\nseashells.\n\n5. Therefore, the total number of seashells brought by the girls is:\n\\[ 600 + 2400 = 3000 \\]\nseashells.\n\n6. Since there are 10 girls, the number of seashells brought by each girl is:\n\\[ \\frac{3000}{10} = 300 \\]\nseashells.\n\n### Conclusion:\n\\[ \\boxed{300} \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Initial Relationship**: \n It is stated that Nick initially had twice as many candies as George. Let's denote the number of candies George originally had by \\( G \\). Therefore, Nick had \\( 2G \\) candies.\n\n2. **George's Candy Consumption**:\n It is given that George ate 5 candies, so after eating, George had:\n \\[\n G - 5\n \\]\n\n3. **Current Number of George's Candies**:\n It is also given that after eating 5 candies, George has 3 candies left. Thus, before eating, George had:\n \\[\n G - 5 = 3 \\implies G = 3 + 5 = 8\n \\]\n\n4. **Nick's Candies Calculation**:\n Since Nick initially had twice as many candies as George, and George originally had 8 candies, Nick initially had:\n \\[\n 2G = 2 \\times 8 = 16\n \\]\n\n5. **Conclusion**:\n Nick, therefore, still has:\n \\[\n 16\n \\]\n\nThus, the number of candies Nick has is:\n\\[\n\\boxed{16}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Alyana is 10 - 4 = 6 years old.\n\nSo, Anne is 6 + 2 = 8 years old.\n\n#### 8\nThe answer is: 8", "answer": {"result": 8.0}}, "matches": true} +{"solution": {"solution": "\n1. **Calculate the thickness of the third book:**\n\n - The second book is 50 mm thick.\n - The third book is 5 mm less thick than the second book.\n - Therefore, the thickness of the third book is:\n \\[\n 50 \\, \\text{mm} - 5 \\, \\text{mm} = 45 \\, \\text{mm}\n \\]\n\n2. **Determine the thickness of the fourth book:**\n\n - The first book is 31 mm thick.\n - The fourth book is twice as thick as the first book.\n - Therefore, the thickness of the fourth book is:\n \\[\n 31 \\, \\text{mm} \\times 2 = 62 \\, \\text{mm}\n \\]\n\n3. **Sum the thicknesses of all four books:**\n\n - First book: \\( 31 \\, \\text{mm} \\)\n - Second book: \\( 50 \\, \\text{mm} \\)\n - Third book: \\( 45 \\, \\text{mm} \\)\n - Fourth book: \\( 62 \\, \\text{mm} \\)\n\n - Total thickness:\n \\[\n 31 \\, \\text{mm} + 50 \\, \\text{mm} + 45 \\, \\text{mm} + 62 \\, \\text{mm} = 188 \\, \\text{mm}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{188 \\, \\text{mm}}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Emma has already made a total of 18 + 21 + 15 = 54 vlogs in the first three weeks.\n\nShe needs to make 72 - 54 = $\\boxed{18}$ more vlogs to complete the 72 vlogs per month.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, we calculate the total cost of the meal, including the 20% tip on the $50 dinner bill. The tip amount is calculated as follows:\n\n\\[ \\text{Tip} = 50 \\times 0.20 = 10. \\]\n\nAdding this tip to the original bill gives us the total amount to be paid:\n\n\\[ \\text{Total} = 50 + 10 = 60. \\]\n\nSince the total amount to be split evenly between the two of you is $60, each person's share is:\n\n\\[ \\text{Each Person's Share} = \\frac{60}{2} = 30. \\]\n\nTherefore, the amount you personally paid is:\n\n\\[ \\boxed{30}. \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. Initially, the total amount of money shared among the three boys is $18.\n2. The eldest boy, let's call him E, starts with an equal share of $18 divided by 3.\n \\[\n \\text{E's initial share} = \\frac{18}{3} = 6 \\text{ dollars}\n \\]\n\n3. The eldest boy then adds $5 to his share:\n \\[\n \\text{E's share after adding $5} = 6 + 5 = 11 \\text{ dollars}\n \\]\n\n4. On the following day, he adds another $10:\n \\[\n \\text{E's share after adding an additional $10} = 11 + 10 = 21 \\text{ dollars}\n \\]\n\n5. The boy later spends $8 from his total:\n \\[\n \\text{E's remaining amount after spending $8} = 21 - 8 = 13 \\text{ dollars}\n \\]\n\n6. After spending $8, he decides to save some more, and this amount he saves triples the remaining amount of money. Let \\( x \\) be the additional amount saved.\n \\[\n 3(13 + x) = 13 + x + x\n \\]\n Simplifying the equation:\n \\[\n 39 + 3x = 2x + 13\n \\]\n \\[\n 39 + 13 = 2x - 3x\n \\]\n \\[\n 52 = -x\n \\]\n \\[\n x = -52\n \\]\n\n7. The negative value of \\( x \\) indicates an error in the setup of the problem. Let's re-evaluate the correct path based on the problem's intent. The boy triples the remaining amount, which is $13, after spending $8.\n \\[\n \\text{Tripled amount} = 3 \\times 13 = 39 \\text{ dollars}\n \\]\n\n8. To find the additional amount saved (which triples the amount), we subtract the tripled amount from the original amount before spending:\n \\[\n x = 39 - 13 = 26 \\text{ dollars}\n \\]\n\n9. Thus, the additional amount saved is 26 dollars.\n\n10. Consequently, the boy's final total amount is the sum of the remaining amount after spending $8 and the additional amount saved:\n \\[\n \\text{Final total} = 13 + 26 = 39 \\text{ dollars}\n \\]\n\n### Conclusion\n\n\\[\n\\boxed{39}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Elvis wants to save twice as much daily in the second half of the month as he saves in the first half. Let's denote the amount he saves daily in the first half of the month as $x$. Therefore, in the second half, he saves $2x$ per day.\n\nThe total savings for the month are $1125, which is spread over 30 days. This means the total daily savings need to be $\\frac{1125}{30}$.\n\nFor the first half of the month, there are 15 days, so the total savings from the first half would be $15x$. For the second half, there are also 15 days, and the total savings would be $15 \\times 2x = 30x$.\n\nSetting up the equation for the total monthly savings:\n\\[ 15x + 30x = 1125 \\]\n\\[ 45x = 1125 \\]\n\\[ x = \\frac{1125}{45} \\]\n\\[ x = 25 \\]\n\nSo, Elvis saves $25 each day in the first half of the month. For the second half, he saves twice as much, which is:\n\\[ 2x = 2 \\times 25 = 50 \\]\n\nElvis needs to save $\\boxed{50}$ each day in the second half of the month to meet his target.\n\nConclusion:\nElvis's daily saving in the second half of the month is $50, which is twice his daily saving in the first half. This calculation confirms that he can achieve his monthly savings goal of $1125.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how much change Verna received, we first need to calculate the total cost of the fruits she bought.\n\nFor the apples:\n3 apples * $1.50 each = $4.50\n\nFor the oranges:\n5 oranges * $0.80 each = $4.00\n\nFor the peaches:\n6 peaches * $0.75 each = $4.50\n\nNow, we add up the total cost of all the fruits:\n$4.50 (apples) + $4.00 (oranges) + $4.50 (peaches) = $13.00\n\nVerna gave $20, so to find out how much change she received, we subtract the total cost of the fruits from the amount she gave:\n$20.00 - $13.00 = $7.00\n\nTherefore, Verna received $\\$7.00$ in change.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Jairus gets $0.8 per task, so if he finished 20 tasks, he will get 20 * $0.8 = $<<20*0.8=16>>16\nJenny gets $0.5 per task, so if she finished 20 tasks, she will get 20 * $0.5 = $<<20*0.5=10>>10\nJairus will get $16 - $10 = $<<16-10=6>>6 more than Jenny.\n#### 6\nThe answer is: 6", "answer": {"result": 6.0}}, "matches": true} +{"solution": {"solution": "Let's denote the amount of money Brad gets as \\( x \\). Since Jeff gets 4 times as much as Brad, Jeff gets \\( 4x \\). \n\nAccording to the problem, the total amount of money they have to divide is 100 dollars. So we can set up the following equation:\n\n\\[ x + 4x = 100 \\]\n\nCombining like terms, we get:\n\n\\[ 5x = 100 \\]\n\nTo find the value of \\( x \\), we divide both sides of the equation by 5:\n\n\\[ x = \\frac{100}{5} \\]\n\\[ x = 20 \\]\n\nNow that we know Brad gets 20 dollars, we can find out how much Jeff gets by multiplying Brad's share by 4:\n\n\\[ Jeff = 4x \\]\n\\[ Jeff = 4 \\times 20 \\]\n\\[ Jeff = 80 \\]\n\nSo, Jeff gets $\\boxed{80}$ dollars.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Jeff walks to work and back each day, so that's 3 miles each way, for a total of 3 + 3 = 6 miles per day.\nIf he has to work 5 times a week, then he walks 6 miles x 5 days = 30 miles in total.\n#### 30\nThe answer is: 30", "answer": {"result": 30.0}}, "matches": true} +{"solution": {"solution": "1. **Identify the total number of letters in the alphabet**: \n The English alphabet consists of 26 letters.\n\n2. **First full writing**: \n Elise writes the alphabet in full the first time. This contributes:\n \\[\n 26 \\text{ letters}\n \\]\n\n3. **Second full writing**: \n Elise writes the alphabet in full again. This contributes:\n \\[\n 26 \\text{ letters}\n \\]\n\n4. **Half the alphabet**: \n Elise writes half of the alphabet, which is \\(\\frac{1}{2} \\times 26 = 13 \\text{ letters}\\).\n\n5. **Total letters written so far**: \n Add the letters written in full and half:\n \\[\n 26 + 26 + 13 = 65 \\text{ letters}\n \\]\n\n6. **Re-writing everything**: \n Elise re-writes all that she has written so far. This means she re-writes the 65 letters she has already written.\n\n7. **Conclusion**: \n Elise has written 65 letters in total, and then re-writes all these letters, contributing another 65 letters.\n \\[\n 65 + 65 = 130 \\text{ letters}\n \\]\n\nTherefore, the total number of letters Elise has written is:\n\\[\n\\boxed{130}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The number of families called in each round forms a geometric sequence.\n- In the first round, Ali calls 3 families.\n- In the second round, each of the 3 families calls 3 more families, resulting in $3 \\times 3 = 9$ families.\n- In the third round, each of the 9 families calls 3 more families, resulting in $9 \\times 3 = 27$ families.\n- In the fourth round, each of the 27 families calls 3 more families, resulting in $27 \\times 3 = 81$ families.\n\nThus, the number of families notified during the fourth round of calls is $\\boxed{81}$.The answer is: 81", "answer": {"result": 81.0}}, "matches": true} +{"solution": {"solution": "If Mark lost 10 pounds per month for 3 months, he lost a total of 10 pounds/month * 3 months = 30 pounds. \n\nIf his final weight after losing 30 pounds was 70 pounds, then his initial weight before losing any weight was 70 pounds + 30 pounds = 100 pounds. \n\nTherefore, Mark's initial weight was $\\boxed{100}$ pounds.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. First, determine the size of James's play set: \n \\[\n \\text{Size of James's play set} = 80 \\text{ toys}\n \\]\n\n2. Then, calculate the size of Jonathan's play set:\n \\[\n \\text{Size of Jonathan's play set} = 5 \\times \\text{Size of James's play set} = 5 \\times 80 = 400 \\text{ toys}\n \\]\n\n3. Since Jonathan needs 2 more toys to complete his play set, determine how many toys he currently has:\n \\[\n \\text{Number of toys Jonathan currently has} = 400 - 2 = 398 \\text{ toys}\n \\]\n\n4. Therefore, the number of toys Jonathan currently has is:\n \\[\n \\boxed{398}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nTo calculate the total cost for Daniel's purchase, we need to follow these steps:\n\n1. **Determine the cost of each item before discount**:\n - Cost of one notebook: $1.50\n - Cost of one pen: $0.25\n - Cost of one calculator: $12\n - Cost of one geometry set: $10\n\n2. **Calculate the total cost of each item type before discount**:\n - Total cost of notebooks: $1.50 \\times 5 = \\$7.50$\n - Total cost of pens: $0.25 \\times 2 = \\$0.50$\n - Total cost of calculator: $12 \\times 1 = \\$12$\n - Total cost of geometry set: $10 \\times 1 = \\$10$\n\n3. **Sum the costs to find the total before discount**:\n - Total before discount: $\\$7.50 + \\$0.50 + \\$12 + \\$10 = \\$30$\n\n4. **Apply the 10% discount**:\n - Discount amount: $10\\%$ of $\\$30$\n - Calculation: $0.10 \\times 30 = \\$3$\n\n5. **Calculate the final cost after discount**:\n - Final cost: $\\$30 - \\$3 = \\$27$\n\nConclusion:\n\nThe total amount Daniel has to spend on all the items he wants to buy, after the 10% discount, is $\\boxed{\\$27}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the total cost of Carly's order and the change she will receive, we break down the calculation as follows:\n\n1. For the hamburgers:\n\\[5 \\times \\$4 = \\$20\\]\n\n2. For the packs of potato fries:\n\\[10 \\times \\$0.30 = \\$3\\]\n\n3. For the cans of fruit drinks:\n\\[5 \\times \\$2 = \\$10\\]\n\nCombining these amounts gives us the total cost of Carly's order:\n\\[\\$20 + \\$3 + \\$10 = \\$33\\]\n\nSince Carly pays with a fifty-dollar bill, the change she receives is calculated by subtracting the total cost from fifty dollars:\n\\[\\$50 - \\$33 = \\$17\\]\n\nTherefore, Carly gets back $\\boxed{\\$17}$ in change.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Antonella sold goods worth $2500.\nFor the first $1000, she earns a 30% commission, which is $1000 * 0.30 = $300.\nFor the remaining $1500, she earns an additional 10% commission, which is $1500 * 0.10 = $150.\nIn total, Antonella earned $300 + $150 = $450.\n#### 450\nThe answer is: 450", "answer": {"result": 450.0}}, "matches": true} +{"solution": {"solution": "Bill starts with 2 cases of water, and each case has 24 bottles.\nSo he already has 2 x 24 = 48 bottles of water.\nHe wants to have 2 bottles of water for each of his 70 guests.\nTherefore, he needs 2 x 70 = 140 bottles of water for his guests.\nHe already has 48 bottles, so he needs to buy an additional 140 - 48 = 92 bottles of water.\n#### 92\nThe answer is: 92", "answer": {"result": 92.0}}, "matches": true} +{"solution": {"solution": "\nLet's first calculate the time it takes Ray to swim 1 mile in cold water. According to the information given, Ray swims 1 mile in 16 minutes when the water is cold.\n\nNext, let's calculate the time it takes Ray to swim 1 mile in warm water. Ray swims 1 mile in 2 minutes more than twice as long as it takes him in cold water. \n\nSo, first, we find twice the time it takes Ray to swim 1 mile in cold water:\n\\[ 2 \\times 16 \\text{ minutes} = 32 \\text{ minutes} \\]\n\nSince Ray takes 2 minutes more to swim 1 mile in warm water, we add those 2 minutes to the twice-cold-water time:\n\\[ 32 \\text{ minutes} + 2 \\text{ minutes} = 34 \\text{ minutes} \\]\n\nNow we know that Ray swims 1 mile in warm water in 34 minutes.\n\nTo find out how much longer it takes Ray to swim 3 miles in warm water than in cold water, we calculate the total time for 3 miles in each condition:\n\nFor cold water:\n\\[ 3 \\text{ miles} \\times 16 \\text{ minutes/mile} = 48 \\text{ minutes} \\]\n\nFor warm water:\n\\[ 3 \\text{ miles} \\times 34 \\text{ minutes/mile} = 102 \\text{ minutes} \\]\n\nThe difference in time between swimming 3 miles in warm water and in cold water is:\n\\[ 102 \\text{ minutes} - 48 \\text{ minutes} = 54 \\text{ minutes} \\]\n\nTherefore, it takes Ray $\\boxed{54}$ more minutes to swim 3 miles on a hot day than a cold day.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "John works 5 hours a day for 4 days a week, so he works a total of 5 * 4 = 20 hours in a week. \n\nHe earns $2 per hour, so his weekly earnings are 20 * $2 = $40. \n\nHe wants to save $80, so the number of weeks it will take him to save $80 is $80 / $40 = 2 weeks. \n\n#### 2\nThe answer is: 2", "answer": {"result": 2.0}}, "matches": true} +{"solution": {"solution": "\nIf you pay $40 for a foot-long fish sub, then the cost of the six-inch cold-cut combo sub would be 3 times that amount, which is $40 x 3 = $120.\nSo, the total cost for both subs is $40 + $120 = $160.\nTherefore, it cost you $160 for lunch today at Subway.\n#### 160\nThe answer is: 160", "answer": {"result": 160.0}}, "matches": true} +{"solution": {"solution": "First, let's find out how many buttons had four holes. Since there were 21 buttons in total and 7 buttons had two holes, we subtract the 7 buttons with two holes from the total number of buttons:\n\n21 buttons - 7 buttons = 14 buttons\n\nThese 14 buttons had four holes each. To find the total number of holes from these buttons, we multiply the number of buttons by the number of holes each button had:\n\n14 buttons * 4 holes/button = 56 holes\n\nNext, we need to calculate the total number of holes from the 7 buttons with two holes:\n\n7 buttons * 2 holes/button = 14 holes\n\nFinally, we add the holes from both types of buttons to find the total number of holes:\n\n56 holes (from four-hole buttons) + 14 holes (from two-hole buttons) = 70 holes\n\nSo, there were 70 holes in all the buttons in the bag.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Timothy's locker is 24 cubic inches.\nZack's locker is half as big as Timothy's locker, so Zack's locker is 24/2 = 12 cubic inches.\nPeter's locker is 1/4 as big as Zack's locker, so Peter's locker is 12/4 = 3 cubic inches.\nTherefore, Peter's locker is 3 cubic inches.\n#### 3\nThe answer is: 3", "answer": {"result": 3.0}}, "matches": true} +{"solution": {"solution": "Octavia drinks half the daily recommended cups of coffee, so she drinks 4/2 = 2 cups of coffee.\nJuan drinks 10 times the amount of coffee that Octavia drinks, so he drinks 10 * 2 = 20 cups of coffee.\nJuan's doctor has asked him to reduce his coffee intake to the daily recommendation of 4 cups.\nTo find out by how many cups Juan must reduce his daily coffee intake, we subtract the recommended amount from the current amount: 20 - 4 = 16.\nJuan must reduce his daily coffee intake by 16 cups.\n#### 16\nThe answer is: 16", "answer": {"result": 16.0}}, "matches": true} +{"solution": {"solution": "The pet shop had 3 cages with 10 hamsters each, so there are 3 * 10 = 30 hamsters.\nThe pet shop also had 3 cages with 5 guinea pigs each, so there are 3 * 5 = 15 guinea pigs.\nIn total, the pet shop had 30 hamsters + 15 guinea pigs = 45 rodents.\n#### 45\nThe answer is: 45", "answer": {"result": 45.0}}, "matches": true} +{"solution": {"solution": "Mark weighs 150 pounds.\nSusan weighs 20 pounds less than Mark, so Susan weighs 150 - 20 = 130 pounds.\nBob weighs twice as much as Susan, so Bob weighs 130 x 2 = 260 pounds.\n\nTo find the average weight of the three friends, we add their weights together and divide by the number of friends:\n\n(150 + 130 + 260) / 3 = 540 / 3 = 180 pounds.\n\nThe average weight of the three friends is 180 pounds.\n\n#### 180\nThe answer is: 180", "answer": {"result": 180.0}}, "matches": true} +{"solution": {"solution": "1. **Initial Angle:** The sun starts at the tip of the pyramid, which is at a 32-degree angle from the ground.\n\n2. **Sun's Movement:** The sun moves upward at a rate of 5 degrees per hour. Over 10 hours, the total angle the sun moves upward is:\n \\[\n 5 \\text{ degrees/hour} \\times 10 \\text{ hours} = 50 \\text{ degrees}\n \\]\n\n3. **Final Angle from Ground:** Adding the sun's movement to the initial angle:\n \\[\n 32 \\text{ degrees} + 50 \\text{ degrees} = 82 \\text{ degrees}\n \\]\n\nConclusion:\nThe sun will be at an angle of $\\boxed{82}$ degrees from the ground after 10 hours.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "James has 2 sons, and one is 12 years old, while the other is 4 years younger, so the younger son is 12 - 4 = 8 years old. \n\nFor the 12-year-old son, James needs 12 candles (since the age is the number of candles needed). \nFor the 8-year-old son, James needs 8 candles. \n\nIn total, James needs 12 + 8 = 20 candles.\n\nA pack of 5 candles costs $3, so to get 20 candles, James needs 20 / 5 = 4 packs of candles.\n\nTherefore, James spends 4 packs * $3 per pack = $\\boxed{\\$12}$ on candles.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nIn the first week, Judy read 15 minutes each night before going to sleep. Since there are 7 nights in a week, she read a total of 15 minutes/night * 7 nights = 105 minutes in the first week.\n\nWe know that Judy can read 2 pages per 1.5 minutes. To find out how many pages she can read in 105 minutes, we divide the total minutes by the time it takes to read 2 pages:\n\n105 minutes / (1.5 minutes/2 pages) = 70 pages\n\nSo, Judy read 70 pages in the first week.\n\nIn the second week, she read a total of 100 pages.\n\nTo find out how many pages she read in two weeks, we add the pages from the first week and the second week:\n\n70 pages (first week) + 100 pages (second week) = 170 pages\n\nTherefore, Judy read a total of 170 pages in two weeks.\n\nAnswer:\n\n170", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Cody ate a third of the sandwiches, so he ate 12 * 1/3 = 4 sandwiches.\nTrevor ate a quarter of the sandwiches, so he ate 12 * 1/4 = 3 sandwiches.\nTogether, Cody and Trevor ate 4 + 3 = 7 sandwiches.\nTherefore, there are 12 - 7 = 5 sandwiches left.\n#### 5\nThe answer is: 5", "answer": {"result": 5.0}}, "matches": true} +{"solution": {"solution": "In 7 years, Shiloh will be 44 + 7 = 51 years old.\nIn 7 years, his nephew will be 1/3 * 51 = 17 years old.\nTherefore, his nephew is currently 17 - 7 = 10 years old.\n#### 10\nThe answer is: 10", "answer": {"result": 10.0}}, "matches": true} +{"solution": {"solution": "\n\nFirst, let's calculate the amount Sharon received for each set of teeth.\n\n1. For the first tooth, Sharon received $5.00.\n\n2. For the next three teeth, Sharon received $1.00 each, so that's $1.00 * 3 = $3.00.\n\n3. For the last two teeth, Sharon received half the amount per tooth as she had for the previous three teeth. Since each of those teeth gave her $1.00, she received $1.00 / 2 = $0.50 for each of the last two teeth. So, that's $0.50 * 2 = $1.00.\n\nNow, let's add up all the amounts to find the total amount the tooth fairy left Sharon:\n\n$5.00 (first tooth) + $3.00 (next three teeth) + $1.00 (last two teeth) = $9.00.\n\nTherefore, the tooth fairy left Sharon a total of $9.00.\n\n$9.00\n\nThe answer is: 9", "answer": {"result": 9.0}}, "matches": true} +{"solution": {"solution": "If Richie scored 80 goals, and he scored 20 more goals than Mark, then Mark scored 80 - 20 = 60 goals.\n\nIf Richie scored 45 more goals than Anna, then Anna scored 80 - 45 = 35 goals.\n\nTo find the total number of goals scored by all three teenagers, we add up their individual scores:\n\nRichie's goals + Mark's goals + Anna's goals = Total goals\n80 + 60 + 35 = 175\n\nTherefore, all three teenagers scored a total of $\\boxed{175}$ goals.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Mitchell sold 21 lemonades at $4 apiece, so he made 21 x $4 = $84.\nLiam made $63.\nTo find out how many more dollars Mitchell made than Liam, we subtract Liam's earnings from Mitchell's earnings: $84 - $63 = $21.\nTherefore, Mitchell made $21 more than Liam selling lemonade that weekend.\n#### 21\nThe answer is: 21", "answer": {"result": 21.0}}, "matches": true} +{"solution": {"solution": "1. **Determine the amount spent on wooden action figures:**\n - Peter spends $5 per wooden action figure.\n - The number of days he spends on wooden action figures is from Sunday through Wednesday, which is 4 days.\n - Total amount spent on wooden action figures:\n \\[\n 4 \\times 5 = 20 \\text{ dollars}\n \\]\n\n2. **Calculate the remaining amount after spending on wooden action figures:**\n - Initial amount Peter had: $70\n - Amount spent on wooden action figures: $20\n - Remaining amount:\n \\[\n 70 - 20 = 50 \\text{ dollars}\n \\]\n\n3. **Determine the number of plastic action figures Peter can buy with the remaining amount:**\n - Each plastic action figure costs $2.\n - Remaining amount of money: $50\n - Number of plastic action figures he can buy:\n \\[\n \\frac{50}{2} = 25 \\text{ plastic action figures}\n \\]\n\n4. **Find the total number of action figures by the end of the week:**\n - Number of wooden action figures bought: 4\n - Number of plastic action figures bought: 25\n - Total number of action figures:\n \\[\n 4 + 25 = 29 \\text{ action figures}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{29}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The cost of spaying the kitten is $200. \n\nThe cost of the 3 vaccines is 3 * $20 = $60. \n\nThe kitten broke 4 vases, and each vase costs $12, so the total cost for the broken vases is 4 * $12 = $48. \n\nTo find the total cost so far, we add up these individual costs: $200 (spaying) + $60 (vaccines) + $48 (broken vases) = $308. \n\nTherefore, the kitten has cost Leah $\\boxed{\\$308}$ so far.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nFirst, let's calculate how many roses Ford supplies to each flower shop per week:\n\n- First flower shop: 20 roses\n- Second flower shop: 15 roses\n- Third flower shop: 30 roses\n\nTotal roses supplied per week = 20 + 15 + 30 = 65 roses\n\nSince Ford grows 40 roses every week, he needs to find out how many more roses he needs to supply to meet the weekly demand of the flower shops:\n\nRoses needed per week = 65 roses\nRoses Ford grows per week = 40 roses\n\nRoses Ford lacks per week = 65 - 40 = 25 roses\n\nNow, let's calculate how many roses Ford lacks per month. Since there are approximately 4 weeks in a month, we multiply the weekly shortage by 4:\n\nRoses Ford lacks per month = 25 roses/week * 4 weeks/month = 100 roses\n\nFord lacks $\\boxed{100}$ roses per month to supply all the flower shops.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Katina has $3000 in her savings account. \nIf she removes $100 from the account every month, she will remove a total of $100 x 12 months = $1200 in one year. \nAfter one year, the remaining amount in her account will be $3000 - $1200 = $1800. \nIf she continues to remove $100 every month for another year, she will remove another $1200. \nAfter two years, the remaining amount in her account will be $1800 - $1200 = $600. \n#### 600\nThe answer is: 600", "answer": {"result": 600.0}}, "matches": true} +{"solution": {"solution": "To calculate the net profit of the food truck, we break down the costs and revenues as follows:\n\n1. **Cost of Bread**: The cost per loaf of bread is $3.00, and each loaf makes 10 sandwiches. Therefore, the cost per sandwich for bread is calculated as:\n \\[\n \\frac{\\$3.00}{10 \\text{ sandwiches}} = \\$0.30 \\text{ per sandwich}\n \\]\n\n2. **Cost of Cheese and Condiments**: The total cost for cheese and condiments per 10 sandwiches is $30.00. Thus, the cost per sandwich for these ingredients is:\n \\[\n \\frac{\\$30.00}{10 \\text{ sandwiches}} = \\$3.00 \\text{ per sandwich}\n \\]\n\n3. **Total Cost per Sandwich**: Adding the cost of bread and the cost of cheese and condiments gives us the total cost per sandwich:\n \\[\n \\$0.30 + \\$3.00 = \\$3.30 \\text{ per sandwich}\n \\]\n\n4. **Revenue per Sandwich**: The food truck sells each sandwich for $7.00. Therefore, the revenue per sandwich is simply $7.00.\n\n5. **Net Profit per Sandwich**: To find the net profit per sandwich, we subtract the total cost per sandwich from the revenue per sandwich:\n \\[\n \\$7.00 - \\$3.30 = \\$3.70 \\text{ per sandwich}\n \\]\n\n6. **Total Profit**: If the food truck sells 10 sandwiches, the total profit is:\n \\[\n \\$3.70 \\times 10 = \\$37.00 \\text{ total profit}\n \\]\n\nTherefore, the net profit for the food truck after selling 10 sandwiches is $\\boxed{\\$37.00}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, we need to calculate the total number of crayon pieces Kate has. Since she has 3 boxes of 64 crayons each, we multiply 64 by 3:\n\n64 crayons/box * 3 boxes = 192 crayons\n\nNext, we determine how many sets of 8 crayon pieces she can make from the 192 crayons. We divide 192 by 8:\n\n192 crayons / 8 crayons/set = 24 sets\n\nNow, since each set of 8 crayons can be melted into a crayon muffin and sold for $1.50, we calculate the total earnings by multiplying the number of sets by the selling price:\n\n24 muffin crayons * $1.50/muffin crayon = $36\n\nTherefore, Kate can make $36 from selling her crayon muffins.\n\n$36\n\nThe answer is: 36", "answer": {"result": 36.0}}, "matches": true} +{"solution": {"solution": "1. **Calculate the area of the bedroom**: \n The bedroom is 18 feet by 12 feet. The area is calculated as follows:\n \\[\n \\text{Area} = 18 \\text{ ft} \\times 12 \\text{ ft} = 216 \\text{ square feet}\n \\]\n\n2. **Calculate the cost of the new carpet**:\n The new carpet costs $12 per square foot. Therefore, the cost for 216 square feet is:\n \\[\n \\text{Cost of carpet} = 12 \\text{ dollars/square foot} \\times 216 \\text{ square feet} = 2592 \\text{ dollars}\n \\]\n\n3. **Calculate the cost of padding**:\n The padding costs $2 per square foot, so for 216 square feet, the cost is:\n \\[\n \\text{Cost of padding} = 2 \\text{ dollars/square foot} \\times 216 \\text{ square feet} = 432 \\text{ dollars}\n \\]\n\n4. **Calculate the cost of removing the old carpet**:\n The contractor charges $4 per square foot to remove the old carpet. Therefore, the cost for removing the old carpet from 216 square feet is:\n \\[\n \\text{Cost of removal} = 4 \\text{ dollars/square foot} \\times 216 \\text{ square feet} = 864 \\text{ dollars}\n \\]\n\n5. **Calculate the cost of installing the new carpet**:\n The installation costs $34 per square foot. Therefore, the cost for installing the new carpet on 216 square feet is:\n \\[\n \\text{Cost of installation} = 34 \\text{ dollars/square foot} \\times 216 \\text{ square feet} = 7304 \\text{ dollars}\n \\]\n\n6. **Calculate the total cost**:\n To find the total cost, add the costs of the new carpet, padding, removal, and installation:\n \\[\n \\text{Total cost} = 2592 \\text{ dollars} + 432 \\text{ dollars} + 864 \\text{ dollars} + 7304 \\text{ dollars}\n \\]\n \\[\n \\text{Total cost} = 11192 \\text{ dollars}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{11192 \\text{ dollars}}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the average number of birds Mack saw each day, we first sum up the total number of birds he saw over the seven days and then divide by seven.\n\nOn day one, Mack saw $50$ birds.\nOn day two, Mack saw the same number of birds as day one, which is $50$ birds.\nOn day three, Mack saw $0$ birds.\nOn day four, Mack saw $120$ birds.\nOn day five, Mack saw $120$ birds, the same as day four.\nOn day six, Mack saw $20$ birds.\nOn day seven, Mack saw $90$ birds.\n\nAdding these up, we get:\n\\[50 + 50 + 0 + 120 + 120 + 20 + 90 = 450\\]\n\nTo find the average, we divide the total number of birds by the number of days, which is $7$:\n\\[450 \\div 7 = 64.2857\\]\n\nRounding to the nearest whole number, Mack saw an average of $\\boxed{64}$ birds per day.The answer is: 64", "answer": {"result": 64.0}}, "matches": false} +{"solution": {"solution": "1. **Start with the given initial value and operation:**\n - Initial value: \\(20\\)\n - First operation: \\( \\frac{20 + \\frac{20}{2}}{5} \\)\n\n2. **Perform the first calculation inside the parentheses:**\n \\[\n 20 + \\frac{20}{2} = 20 + 10 = 30\n \\]\n\n3. **Divide the result by 5:**\n \\[\n \\frac{30}{5} = 6\n \\]\n\n4. **Next, form the second part of the expression:**\n \\[\n 20 - 12 = 8\n \\]\n\n5. **Multiply the results from the first and second parts:**\n \\[\n 6 \\times 8 = 48\n \\]\n\n6. **Conclude with the final value of the number train:**\n \\[\n \\boxed{48}\n \\]\n\n**Conclusion:**\n\nThe final value of the number train is \\(48\\).", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, we start by determining the number of cards the brother has. Since the brother has 3 fewer cards than the boy, we calculate the number of cards the brother has as follows:\n\n- Number of cards the brother has = Number of cards the boy has - 3\n- Number of cards the brother has = 5 - 3\n- Number of cards the brother has = 2\n\nNext, we find the total number of cards they have together by adding the number of cards the boy has to the number of cards the brother has:\n\n- Total number of cards = Number of cards the boy has + Number of cards the brother has\n- Total number of cards = 5 + 2\n- Total number of cards = 7\n\nTherefore, the boy and his brother have a total of $\\boxed{7}$ cards together.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the percentage error between the set temperature and the actual temperature, we calculate:\n\n\\[\n\\text{Percentage error} = \\left(\\frac{\\text{Actual temperature} - \\text{Set temperature}}{\\text{Set temperature}}\\right) \\times 100\\%\n\\]\n\nGiven the set temperature is 450 and the actual temperature is 468, the percentage error is:\n\n\\[\n\\text{Percentage error} = \\left(\\frac{468 - 450}{450}\\right) \\times 100\\% = \\left(\\frac{18}{450}\\right) \\times 100\\% = 4\\%\n\\]\n\nTo find the correct temperature setting for a recipe that calls for 520 degrees, we apply the same percentage error:\n\n\\[\n\\text{Correct temperature} = \\text{Recipe temperature} + (\\text{Recipe temperature} \\times \\text{Percentage error})\n\\]\n\nSubstituting the given values:\n\n\\[\n\\text{Correct temperature} = 520 + (520 \\times 0.04) = 520 + 20.8 = 540.8\n\\]\n\nRounding to the nearest whole number, the correct setting for Maggie's oven is:\n\n\\[\n\\boxed{541^\\circ}\n\\]\n\nConclusion:\nMaggie should set her oven to 541 degrees to achieve a temperature of 520 degrees with the given malfunction.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nFirst, let's convert the duration of the first movie from hours and minutes to just minutes: \n1 hour is 60 minutes, and 30 minutes is already in minutes. \nSo, the first movie is 60 + 30 = 90 minutes long. \n\nNext, let's convert the duration of the second movie from hours and minutes to just minutes: \n2 hours is 2 * 60 = 120 minutes, and 5 minutes is already in minutes. \nSo, the second movie is 120 + 5 = 125 minutes long.\n\nNow, let's add the durations of both movies to find the total time Max spends watching them: \n90 (first movie) + 125 (second movie) = 215 minutes. \n\nTherefore, it will take Max a total of $\\boxed{215}$ minutes to watch the two movies.The answer is: 215", "answer": {"result": 215.0}}, "matches": true} +{"solution": {"solution": "Herb's house is worth $76,000.\n\nJuan's house is 30% less expensive than Herb's, so Juan's house is worth 100% - 30% = 70% of Herb's house.\n\nTo find Juan's house value, we calculate 70% of $76,000:\n70% of $76,000 = 0.70 * $76,000 = $53,200.\n\nNow, to find the total value of both houses combined:\nJuan's house value + Herb's house value = $53,200 + $76,000 = $129,200.\n\nTherefore, the combined value of the two houses is $\\boxed{\\$129,200}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Judy bought a dozen cups, which is 12 cups. \nShe also bought twice as many dishes as cups, so she bought 2 * 12 = 24 dishes. \n\nHer friend brought 40 cups. \n\nHer friend also brought 20 more dishes than Judy, so her friend brought 24 + 20 = 44 dishes.\n\nThe total number of cups brought by both is 12 (Judy's cups) + 40 (friend's cups) = 52 cups.\n\nThe total number of dishes brought by both is 24 (Judy's dishes) + 44 (friend's dishes) = 68 dishes.\n\nTherefore, the total number of utensils brought by the two is 52 (cups) + 68 (dishes) = 120 utensils.\n\n#### 120\nThe answer is: 120", "answer": {"result": 120.0}}, "matches": true} +{"solution": {"solution": "1. Calculate the total cost of 2 boxes of contacts at the original price:\n \\[\n 2 \\times 100 = 200 \\text{ dollars}\n \\]\n\n2. Determine the discount on the total cost:\n \\[\n 200 \\times 0.10 = 20 \\text{ dollars}\n \\]\n\n3. Calculate the discounted total cost:\n \\[\n 200 - 20 = 180 \\text{ dollars}\n \\]\n\n4. Find the cost per pair of contacts by dividing the total cost by the number of pairs:\n \\[\n \\frac{180}{90} = 2 \\text{ dollars per pair}\n \\]\n\n5. Box the final answer:\n \\[\n \\boxed{2 \\text{ dollars per pair}}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nJill worked 2 hours on Saturday and 1 hour on Sunday, so she worked a total of 2 + 1 = 3 hours.\nJohn worked twice as long as Jill on Saturday, so he worked 2 * 2 = 4 hours on Saturday.\nJohn also worked three times as long as Jill on Sunday, so he worked 3 * 1 = 3 hours on Sunday.\nIn total, John worked 4 + 3 = 7 hours.\nTabitha agreed to pay $10 an hour, so Jill earned 3 * $10 = $30.\nJohn earned 7 * $10 = $70.\nTherefore, John earned $70 - $30 = $40 more than Jill.\n#### 40\nThe answer is: 40", "answer": {"result": 40.0}}, "matches": true} +{"solution": {"solution": "Hannah burns 500 calories/hour x 2 hours = 1000 calories from aerobics.\nShe also burns 600 calories/hour x 1 hour = 600 calories from running.\nIn total, she burns 1000 calories + 600 calories = 1600 calories.\nFor every 200 calories burned, she needs to drink 100 ml of water, so she needs to drink 1600 calories / 200 calories = 8 sets of 100 ml of water.\nTherefore, she needs to drink 8 sets x 100 ml = 800 ml of water.\n#### 800\nThe answer is: 800", "answer": {"result": 800.0}}, "matches": true} +{"solution": {"solution": "Let the number of blue jelly beans be denoted as $b$. According to the problem, the number of red jelly beans is $0.99b$ and the number of green jelly beans is $1.01b$. The total number of jelly beans in the jar is the sum of these, which equals 4500. Therefore, we can write the equation:\n\\[ b + 0.99b + 1.01b = 4500. \\]\n\nCombining like terms, this simplifies to:\n\\[ 2.99b = 4500. \\]\n\nTo find $b$, we divide both sides of the equation by 2.99:\n\\[ b = \\frac{4500}{2.99}. \\]\n\nCalculating the value of $b$:\n\\[ b = 1503.340909. \\]\n\nNow, we can calculate the number of red and green jelly beans:\nRed jelly beans: $0.99 \\times 1503.340909 = 1488.500000$.\nGreen jelly beans: $1.01 \\times 1503.340909 = 1518.173333$.\n\nThe difference between green and red jelly beans is:\n\\[ 1518.173333 - 1488.500000 = 29.673333. \\]\n\nRounding to the nearest whole number, the difference in jelly beans is $\\boxed{30}$.The answer is: 30", "answer": {"result": 30.0}}, "matches": true} +{"solution": {"solution": "To find the average of three measurements, we need to add them up and then divide by 3.\n\nFirst measurement: 47 WPM\nSecond measurement: 52 WPM\nThird measurement: 52 WPM + 5 WPM = 57 WPM\n\nNow, add the three measurements together:\n47 WPM + 52 WPM + 57 WPM = 156 WPM\n\nFinally, divide the sum by 3 to find the average:\n156 WPM / 3 = 52 WPM\n\nTherefore, the average of the three measurements is $\\boxed{52}$ WPM.The answer is: 52", "answer": {"result": 52.0}}, "matches": true} +{"solution": {"solution": "If Martin eats Cheerios every day for breakfast, he'll lose 1.25 pounds/week, so in 5 weeks, he'll lose 1.25 * 5 = 6.25 pounds.\nIf he eats donuts every day for breakfast, he'll gain 1.75 pounds/week, so in 5 weeks, he'll gain 1.75 * 5 = 8.75 pounds.\nThe difference in his weight at the end of 5 weeks between the two breakfast options is 6.25 - 8.75 = -2.5 pounds.\n#### 2.5\nThe answer is: 2.5", "answer": {"result": 2.5}}, "matches": false} +{"solution": {"solution": "\nAlex initially invites 100 people via email, and each of these people will bring 2 friends, so there will be an additional 100 * 2 = 200 people invited by the initial invitees.\n\nNext, Alex calls 10 friends and 8 of them say they will bring their spouses. So, there will be an additional 8 spouses.\n\nAdding these numbers together, Alex will need seats for 100 (initial invitees) + 200 (invitees brought by initial invitees) + 8 (spouses) = 308 people.\n\nTherefore, Alex will need seats for 308 people. \n\nThe answer is: 308", "answer": {"result": 308.0}}, "matches": false} +{"solution": {"solution": "The Dachshund weighed twice as much as the Affenpinscher, so it weighed 10 pounds * 2 = 20 pounds.\n\nThe Papillon weighed one-fourth as much as the Dachshund, so it weighed 20 pounds / 4 = 5 pounds.\n\nThe Mastiff weighed 44 times the weight of the Papillon, so it weighed 5 pounds * 44 = 220 pounds.\n\nTherefore, the Mastiff weighed 220 pounds.\n\nThe answer is 220", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total cost of the boots on Amazon. The cost of the boots is $16, and the shipping is $4. \n\nTotal cost on Amazon = Cost of boots + Shipping\nTotal cost on Amazon = $16 + $4\nTotal cost on Amazon = $20\n\nNext, let's calculate the total cost of the boots on eBay. The cost of the boots is $13, and the shipping is twice as much as on Amazon, which is $4. \n\nTotal cost on eBay = Cost of boots + Shipping\nTotal cost on eBay = $13 + ($4 * 2)\nTotal cost on eBay = $13 + $8\nTotal cost on eBay = $21\n\nNow, let's find out how much more expensive the boots are on eBay compared to Amazon.\n\nDifference in cost = Total cost on eBay - Total cost on Amazon\nDifference in cost = $21 - $20\nDifference in cost = $1\n\nThe boots work out to be $\\boxed{\\$1}$ more expensive on eBay.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Calculate the initial height of the beanstalk**: Given the beanstalk starts at 4 feet.\n2. **Determine the exponential growth**: The beanstalk doubles in height each day.\n3. **Find the day when the beanstalk surpasses 20 feet**:\n - **Day 1**: The beanstalk is \\( 4 \\times 2 = 8 \\) feet.\n - **Day 2**: The beanstalk is \\( 8 \\times 2 = 16 \\) feet.\n - **Day 3**: The beanstalk is \\( 16 \\times 2 = 32 \\) feet.\n4. **Conclusion**: On the third day, the beanstalk reaches 32 feet, which is taller than the 20-foot window.\n\n\\[\n\\boxed{3 \\text{ days}}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "John eats 200 grams of mushrooms every day, so in a week, he eats 200 grams/day * 7 days/week = 1400 grams of mushrooms.\n\nEach cup of mushrooms contains 100 grams, so 1400 grams of mushrooms is equivalent to 1400 grams / 100 grams/cup = 14 cups of mushrooms.\n\nEach cup of mushrooms contains 3 grams of protein, so 14 cups of mushrooms contain 14 cups * 3 grams/cup = 42 grams of protein.\n\nTherefore, John gets 42 grams of protein per week from eating 200 grams of mushrooms every day.\n\n#### 42\nThe answer is: 42", "answer": {"result": 42.0}}, "matches": true} +{"solution": {"solution": "Let's denote Jerry's current age as \\( J \\).\n\nAccording to the problem, Jerry is twice as old as he was 5 years ago. So, we can write the equation:\n\n\\[ J = 2(J - 5) \\]\n\nNow, let's solve for \\( J \\):\n\n\\[ J = 2J - 10 \\]\n\\[ J - 2J = -10 \\]\n\\[ -J = -10 \\]\n\\[ J = 10 \\]\n\nSo, Jerry is currently 10 years old.\n\nNow, to find out how old Jerry will be in 3 years, we simply add 3 to his current age:\n\n\\[ J + 3 = 10 + 3 \\]\n\\[ J + 3 = 13 \\]\n\nTherefore, Jerry will be $\\boxed{13}$ years old in 3 years.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total cost of the two implants. \n\nThe base price for one implant is $2000, so for two implants, it would be:\n2 implants * $2000/implant = $4000\n\nGeorge wants a crown made of porcelain for one of the implants, which costs an extra $500. So the additional cost for the crown is:\n$500\n\nNow, let's add the additional cost of the crown to the base price of the two implants to get the total cost:\n$4000 (base price for two implants) + $500 (additional cost for crown) = $4500\n\nGeorge has already put down a deposit of $600. So, the remaining amount he needs to pay is:\n$4500 (total cost) - $600 (deposit) = $3900\n\nGeorge makes $15 per hour at work. To find out how many hours he needs to work to earn $3900, we divide the remaining amount by his hourly wage:\n$3900 / $15/hour = 260 hours\n\nGeorge needs to work $\\boxed{260}$ hours to earn enough money to pay for the dental work.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, I will use algebra to represent the three angles in terms of a single variable, x, which is the measure of the smallest angle. Then I will use the fact that the angles add up to 180 degrees to write an equation in x. Finally, I will solve for x and use it to find the largest angle.\n\nLet x be the measure of the smallest angle. Then the second angle, which is twice the smallest, is 2x. And the third angle, which is three times the smallest, is 3x.\n\nThe sum of the three angles is 180 degrees, so I can write the equation:\n\nx + 2x + 3x = 180\n\nCombining like terms, I get:\n\n6x = 180\n\nTo find x, I will divide both sides by 6:\n\nx = 180 / 6\n\nx = 30\n\nNow that I know x, I can find the largest angle by multiplying x by 3:\n\n3x = 3 * 30\n\n3x = 90\n\nSo the largest angle in the triangle is 90 degrees.\n\nThe largest angle in the triangle is 90 degrees.\n\nAnswer:\n\n90", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To determine how many gumballs Colby can buy, I need to convert all his coins to cents and add them up. A quarter is worth 25 cents, a dime is worth 10 cents, a nickel is worth 5 cents, and a penny is worth 1 cent. So, 8 quarters are worth 8 times 25, which is 200 cents. 6 dimes are worth 6 times 10, which is 60 cents. 14 nickels are worth 14 times 5, which is 70 cents. 15 pennies are worth 15 times 1, which is 15 cents. Adding these up, I get 200 + 60 + 70 + 15, which is 345 cents. Now, I need to divide this by the cost of each gumball, which is 5 cents. 345 divided by 5 is 69. That means Colby can buy 69 gumballs.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nEach dog has 4 legs, so 5 dogs have 5 x 4 = 20 legs.\nEach cat has 4 legs, so 2 cats have 2 x 4 = 8 legs.\nEach bird has 2 legs, so 10 birds have 10 x 2 = 20 legs.\nIn total, the pets in the store have 20 + 8 + 20 = 48 legs.\n#### 48\nThe answer is: 48", "answer": {"result": 48.0}}, "matches": true} +{"solution": {"solution": "To solve the problem, we follow these steps:\n\n1. Calculate the new weight after increasing the original weight by 50%. Since Jamaal uses an 8-pound weight and increases it by 50%, we calculate the increase as:\n\\[8 \\, \\text{pounds} \\times 50\\% = 8 \\, \\text{pounds} \\times 0.5 = 4 \\, \\text{pounds}\\]\n\n2. Add this increase to the original weight to find the new weight:\n\\[8 \\, \\text{pounds} + 4 \\, \\text{pounds} = 12 \\, \\text{pounds}\\]\n\n3. Since the 12-pound weight turns out to be too heavy, Jamaal uses a weight two pounds lighter. To find this weight, we subtract 2 pounds from the 12-pound weight:\n\\[12 \\, \\text{pounds} - 2 \\, \\text{pounds} = 10 \\, \\text{pounds}\\]\n\nTherefore, the weight that Jamaal now uses is $\\boxed{10 \\, \\text{pounds}}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nSteve starts with 5 games from his parents. \nIn the first year, he buys 1 game per month for 12 months, so he buys 1 x 12 = 12 games. \nIn the second year, he buys 2 games per month for 12 months, so he buys 2 x 12 = 24 games. \nIn the third year, he buys 4 games per month for 12 months, so he buys 4 x 12 = 48 games. \nHe also receives 5 games for Christmas every year, so he receives 5 x 3 = 15 games over the 3 years. \nAdding up all the games, Steve has 5 + 12 + 24 + 48 + 15 = 104 games after 3 years. \n#### 104\nThe answer is: 104", "answer": {"result": 104.0}}, "matches": true} +{"solution": {"solution": "1. First, determine the rate at which the plane is traveling. The plane covers 1200 miles in 3 hours. So, the speed is:\n \\[\n \\frac{1200 \\text{ miles}}{3 \\text{ hours}} = 400 \\text{ miles per hour}\n \\]\n\n2. Next, calculate the number of additional hours required to travel 2000 miles at this rate. The time \\( t \\) needed to travel a distance \\( d \\) at a constant speed \\( v \\) is given by:\n \\[\n t = \\frac{d}{v}\n \\]\n Substituting the given values:\n \\[\n t = \\frac{2000 \\text{ miles}}{400 \\text{ miles per hour}} = 5 \\text{ hours}\n \\]\n\n3. Conclusion:\n \\[\n \\boxed{5 \\text{ hours}}\n \\]\n\nNote: The problem can also be solved using the original rate and distance, as the rate remains constant, but calculating through the distance traveled aligns better with the problem's setup.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's find out how many pounds of chocolate Ruiz makes in one hour. Since he makes 120 pounds in two hours, he makes:\n\n120 pounds / 2 hours = 60 pounds per hour\n\nMarissa makes 3/4 times as many pounds of chocolate as Ruiz in one hour. So, Marissa makes:\n\n3/4 * 60 pounds = 45 pounds per hour\n\nNow, let's calculate how much chocolate they make in 12 hours if they work together.\n\nRuiz's total production in 12 hours:\n60 pounds/hour * 12 hours = 720 pounds\n\nMarissa's total production in 12 hours:\n45 pounds/hour * 12 hours = 540 pounds\n\nTogether, in 12 hours, they make:\n720 pounds (Ruiz) + 540 pounds (Marissa) = 1260 pounds\n\nTherefore, Ruiz and Marissa make a total of $\\boxed{1260}$ pounds of chocolate in 12 hours.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "On Monday, Howard spends $8.\n\nOn Tuesday, he spends twice as much as he did on Monday, so he spends 2 * $8 = $16.\n\nOn Wednesday, he spends 4 times as much as he spent on Tuesday, so he spends 4 * $16 = $64.\n\nTo find out how much money he has left, we need to subtract the total amount he spent from his original amount.\n\nTotal amount spent = $8 + $16 + $64 = $88.\n\nOriginal amount of money = $100.\n\nMoney left = $100 - $88 = $12.\n\nHoward has $\\boxed{\\$12}$ left.The answer is: 12", "answer": {"result": 12.0}}, "matches": true} +{"solution": {"solution": "Patrick sold 15 cups of lemonade per hour for 4 hours, so he sold a total of 15 cups/hour * 4 hours = 60 cups of lemonade.\n\nAt a price of $0.50 per cup, Patrick earned 60 cups * $0.50/cup = $30 from the first 4 hours.\n\nIn the next 2 hours, Patrick sold 10 cups of lemonade per hour, so he sold a total of 10 cups/hour * 2 hours = 20 cups of lemonade.\n\nAt a price of $0.60 per cup, Patrick earned 20 cups * $0.60/cup = $12 from the next 2 hours.\n\nIn total, Patrick earned $30 + $12 = $\\boxed{\\$42}$ from selling lemonade for 6 hours.The answer is: 42", "answer": {"result": 42.0}}, "matches": true} +{"solution": {"solution": "To solve the problem, we follow these steps:\n\n1. First, we calculate the total number of rotations for 400 miles. Since every 2 miles corresponds to 725 rotations, we divide 400 miles by 2 miles to find how many 2-mile segments there are, and then multiply by 725 rotations per segment:\n\\[ \\frac{400 \\, \\text{miles}}{2 \\, \\text{miles/segment}} \\times 725 \\, \\text{rotations/segment} = 1250 \\times 725 \\, \\text{rotations} \\]\n\n2. Next, we calculate the total number of rotations for a full year (12 months) by multiplying the monthly rotations by 12:\n\\[ 1250 \\times 725 \\times 12 \\, \\text{rotations} \\]\n\n3. To find out how many years it takes for the tire to need to be replaced, given that each tire can undergo 10,440,000 rotations, we divide the annual rotations by the lifespan of the tire:\n\\[ \\frac{1250 \\times 725 \\times 12 \\, \\text{rotations}}{10,440,000 \\, \\text{rotations}} \\]\n\n4. Performing the calculations step by step:\n\\[ \\frac{1250 \\times 725 \\times 12}{10,440,000} = \\frac{1250 \\times 8,700}{10,440,000} \\]\n\\[ = \\frac{10,875,000}{10,440,000} \\]\n\\[ \\approx 1.04 \\, \\text{years} \\]\n\nTherefore, the tire needs to be replaced every $\\boxed{1.04}$ years.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how much each pump costs, we need to calculate the total cost per wash and then divide it by the number of pumps used per wash.\n\n1. Calculate the total cost per wash using 2 pumps:\n - Cost per wash with 2 pumps = Total cost of the bottle / Number of washes\n - Cost per wash with 2 pumps = $24.00 / 120 washes\n - Cost per wash with 2 pumps = $0.20\n\n2. Calculate the cost per pump:\n - Cost per pump = Cost per wash with 2 pumps / 2\n - Cost per pump = $0.20 / 2\n - Cost per pump = $0.10\n\n3. Convert the cost per pump from dollars to cents:\n - $0.10 = 10 cents\n\nSo, each pump costs 10 cents.\n\nFinal answer: Each pump costs 10 cents.\n\n[/SOLUTION]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nFirst, let's calculate the total price of the shirt and shorts before the discount:\n\nShirt: $25\n\nShorts: $35\n\nTotal before discount: $25 + $35 = $60\n\nNow, let's calculate the discount amount:\n\nDiscount percentage: 30%\n\nDiscount amount: $60 * 0.30 = $18\n\nNext, let's calculate the total price after the discount:\n\nTotal price after discount: $60 - $18 = $42\n\nNow, let's calculate how much money Joe will have left after the purchase:\n\nMoney Joe has: $50\n\nTotal price after discount: $42\n\nMoney left: $50 - $42 = $8\n\nJoe will have $\\$8$ left after the purchase.\n\nAnswer: $8", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how many pounds of butter Juan will need to make 4 dozen croissants a day for a week, we follow these steps:\n\n1. Calculate the daily butter requirement for 4 dozen croissants:\n - Since 1 dozen croissants require $\\frac{1}{4}$ pound of butter, for 4 dozen, we multiply the butter requirement by 4.\n - This gives us $\\frac{1}{4} \\times 4 = 1$ pound of butter per day.\n\n2. Calculate the total butter requirement for a week (7 days):\n - Knowing that Juan plans to make 4 dozen croissants every day for a week, we multiply the daily butter requirement by the number of days in a week.\n - This results in $1 \\times 7 = 7$ pounds of butter needed for a week.\n\nTherefore, Juan will need $\\boxed{7}$ pounds of butter to make 4 dozen croissants a day for a week.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the cost of repaving Monica's street, we multiply the cost per meter by the length of the street:\n\nCost for Monica's street = Cost per meter \u00d7 Length of Monica's street\nCost for Monica's street = $194/meter \u00d7 150 meters\nCost for Monica's street = $29,100\n\nTo find the cost of repaving Lewis' street, we do the same calculation:\n\nCost for Lewis' street = Cost per meter \u00d7 Length of Lewis' street\nCost for Lewis' street = $194/meter \u00d7 490 meters\nCost for Lewis' street = $95,060\n\nNow, to find out how much more it costs to repave Lewis' street compared to Monica's, we subtract the cost of Monica's street from the cost of Lewis' street:\n\nExtra cost = Cost for Lewis' street - Cost for Monica's street\nExtra cost = $95,060 - $29,100\nExtra cost = $65,960\n\nThe difference in cost to repave Lewis' street compared to Monica's street is $65,960.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The initial funding for the first 5 months is $100,000.\nAfter the first 5 months, the research took 10 times longer, so it took a total of 5 * 10 = 50 months.\nFor the remaining 45 months, each month required 50% more funding than the initial funding.\nSo, the funding per month increased by $100,000 * 50% = $50,000.\nThe funding for the remaining 45 months is $100,000 + $50,000 = $150,000 per month.\nTherefore, the total cost for the remaining 45 months is $150,000 * 45 = $6,750,000.\nAdding the initial 5 months of funding, the total cost of John's research is $100,000 + $6,750,000 = $6,850,000.\n#### 6850000\nThe answer is: 6850000", "answer": {"result": 6850000.0}}, "matches": false} +{"solution": {"solution": "The first player ate a 6-ounce steak.\n\nThe second player ate 8 beef tips, each an ounce in size, so a total of 8 ounces of beef tips.\n\nThe third player ate a one-pound steak, which is equivalent to 16 ounces.\n\nThe fourth and fifth players ordered vegetarian meals, so they did not consume any meat.\n\nIn total, the team consumed 6 + 8 + 16 = $\\boxed{30}$ ounces of meat.The answer is: 30", "answer": {"result": 30.0}}, "matches": true} +{"solution": {"solution": "To calculate the total number of posts in March, we need to first determine the total number of posts made per day by all members. \n\n1. There are 1000 members in the group.\n2. Each member posts an average of 3 posts per day.\n\nTherefore, the total number of posts per day is calculated by multiplying the number of members by the average number of posts per member:\n\\[ \\text{Total posts per day} = 1000 \\times 3 = 3000 \\]\n\nNext, we need to find out how many days are in March. March has 31 days.\n\nFinally, to find the total number of posts in March, we multiply the total posts per day by the number of days in March:\n\\[ \\text{Total posts in March} = 3000 \\times 31 = 93000 \\]\n\nThus, the total number of posts in March for the group is $\\boxed{93000}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Gary does laundry twice a week, so he does laundry 2 * 52 = 104 times in a year. \n\nEach load of laundry uses 20 gallons of water, so in a year, Gary uses 104 * 20 = 2080 gallons of water for laundry. \n\nA gallon of water costs $0.15, so Gary spends 2080 * $0.15 = $<<2080*0.15=312>>312 on water for laundry in a year. \n\n#### 312\nThe answer is: 312", "answer": {"result": 312.0}}, "matches": true} +{"solution": {"solution": "Scarlett bought 2 bags of rocks for $2.50 each, so she spent 2 * $2.50 = $5.00 on rocks.\nShe bought 3 pieces of coral at $2.00 each, so she spent 3 * $2.00 = $6.00 on coral.\nShe bought 20 fish at $0.50 each, so she spent 20 * $0.50 = $10.00 on fish.\nShe also bought fish food for $2.00.\nIn total, Scarlett spent $10.00 (aquarium) + $5.00 (rocks) + $6.00 (coral) + $10.00 (fish) + $2.00 (fish food) = $33.00.\n#### 33\nThe answer is: 33", "answer": {"result": 33.0}}, "matches": true} +{"solution": {"solution": "The beanstalk was 3 inches tall after the first week. \nIn the second week, it doubled in height, so it became 3 inches x 2 = 6 inches tall. \nIn the third week, it grew another 4 inches, so it became 6 inches + 4 inches = 10 inches tall. \nTherefore, the beanstalk was 10 inches tall after 3 weeks. \n#### 10\nThe answer is: 10", "answer": {"result": 10.0}}, "matches": true} +{"solution": {"solution": "\nFirst, let's calculate how much meat Prince can sell in one day. He sells 15kg of meat every hour, and he works 10 hours a day. So, in one day, he can sell:\n\n15kg/hour * 10 hours/day = 150kg/day\n\nNow, let's calculate how many days it will take Prince to sell the meat from Bill's bull. The bull weighs 750kg, so:\n\n750kg / 150kg/day = 5 days\n\nTherefore, it will take Prince $\\boxed{5}$ days to sell the meat from Bill's bull.\n\nAnswer: 5", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\n1. **Calculate the total number of seats in the auditorium:**\n\n Given that there are 4 rows and each row has 18 seats, the total number of seats in the auditorium is:\n \\[\n 4 \\text{ rows} \\times 18 \\text{ seats per row} = 72 \\text{ seats}\n \\]\n\n2. **Determine the number of seats occupied by administrators:**\n\n One-fourth of the total seats are occupied by administrators:\n \\[\n \\frac{1}{4} \\times 72 = 18 \\text{ seats}\n \\]\n\n3. **Calculate the remaining unoccupied seats:**\n\n The remaining seats after administrators occupy their portion are:\n \\[\n 72 \\text{ seats} - 18 \\text{ seats} = 54 \\text{ seats}\n \\]\n\n4. **Determine the number of seats occupied by parents:**\n\n One-third of the remaining seats are occupied by parents:\n \\[\n \\frac{1}{3} \\times 54 = 18 \\text{ seats}\n \\]\n\n5. **Calculate the number of seats occupied by students:**\n\n The number of seats occupied by students is the remaining seats after accounting for administrators and parents:\n \\[\n 54 \\text{ seats} - 18 \\text{ seats} = 36 \\text{ seats}\n \\]\n\n6. **Conclusion:**\n\n Therefore, the number of students in the auditorium is:\n \\[\n \\boxed{36}\n \\]\n\nAnswer: 36", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Determine the total number of street lights at one intersection:**\n Each pole at an intersection has 4 street lights. There are 6 poles at each intersection:\n \\[\n 6 \\text{ poles} \\times 4 \\text{ street lights per pole} = 24 \\text{ street lights per intersection}\n \\]\n\n2. **Calculate the total number of street lights for all four intersections:**\n There are 4 intersections, so:\n \\[\n 24 \\text{ street lights per intersection} \\times 4 \\text{ intersections} = 96 \\text{ street lights}\n \\]\n\n3. **Subtract the number of non-functioning street lights:**\n Given that 20 street lights are not working:\n \\[\n 96 \\text{ total street lights} - 20 \\text{ non-functioning street lights} = 76 \\text{ functioning street lights}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{76}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nTo find out how many times both DVDs can be played before they break, we need to add the number of times each DVD has been played and then subtract 1 (since we're counting the point at which one of them breaks).\n\nThe first DVD has been played 356 times, and the second DVD has been played 135 times. Together, they have been played:\n\n356 (first DVD) + 135 (second DVD) = 491 times\n\nSince a DVD can be played 1000 times before it breaks, we subtract 1 from this total to find out how many times they can be played before one of them breaks:\n\n491 - 1 = 490\n\nSo, both DVDs can be played a total of $\\boxed{490}$ times before one of them breaks.The answer is: 490", "answer": {"result": 490.0}}, "matches": false} +{"solution": {"solution": "John went to physical therapy for 6 weeks, and he went twice each week. So, he had a total of 6 * 2 = 12 sessions.\n\nEach session lasted for 2 hours, so he spent 12 * 2 = 24 hours in physical therapy.\n\nThe cost per hour is $125, so the total cost for the physical therapy is 24 hours * $125/hour = $3000.\n\nTherefore, the physical therapy cost John $3000.\n\nThe final answer is $\\boxed{3000}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Jim is at school for 8 hours and chews 1 piece of gum for every 2 hours, so he chews 8/2 = 4 pieces of gum during school.\nHe also chews 1 piece on the way home from school and 1 piece after dinner, so he chews 4 + 1 + 1 = 6 pieces of gum in total.\nJim started with a 20 pack of gum and has chewed 6 pieces, so he has 20 - 6 = 14 pieces of gum remaining.\nJim gives half of his remaining gum to his sister, so he gives 14 / 2 = 7 pieces of gum to his sister.\nTherefore, Jim has 14 - 7 = 7 pieces of gum left at the end of the day.\n#### 7\nThe answer is: 7", "answer": {"result": 7.0}}, "matches": true} +{"solution": {"solution": "Charmaine will be 16 years old in 12 years, which means she is currently 16 - 12 = 4 years old. \n\nTo find out how old she will be 4 years from now, we simply add those 4 years to her current age. \n\nSo, 4 (her current age) + 4 (years from now) = 8.\n\nCharmaine will be 8 years old 4 years from now.\n\n$8$\n\nThe answer is: 8", "answer": {"result": 8.0}}, "matches": true} +{"solution": {"solution": "The baseball coach spent 9 * $3 = $<<9*3=27>>27 on baseballs.\n\nThe basketball coach spent 8 * $14 = $<<8*14=112>>112 on basketballs.\n\nThe basketball coach spent $112 - $27 = $<<112-27=85>>85 more than the baseball coach.\n\n#### 85\nThe answer is: 85", "answer": {"result": 85.0}}, "matches": true} +{"solution": {"solution": "\nArianna has 10 rows of flowers with 20 flowers in each row, so she has a total of 10 * 20 = 200 flowers in her garden.\nCurrently, only 4/5 of the planted flowers have bloomed, so 4/5 * 200 = 160 flowers have bloomed.\nTherefore, 160 flowers in Arianna's garden have bloomed.\n#### 160\nThe answer is: 160", "answer": {"result": 160.0}}, "matches": true} +{"solution": {"solution": "To find Ashley's internet connection speed in Mb per hour, we first need to convert her speed from kb per second to Mb per second, and then multiply by the number of seconds in an hour.\n\n1. Convert Ashley's speed from kb per second to Mb per second:\n - 1 Mb = 1000 kb\n - Therefore, Ashley's speed is 20 kb / 1000 = 0.02 Mb per second.\n\n2. Calculate Ashley's speed in Mb per hour:\n - There are 60 seconds in a minute and 60 minutes in an hour.\n - Total seconds in an hour = 60 * 60 = 3600 seconds.\n - Ashley's speed in Mb per hour = 0.02 Mb/second * 3600 seconds/hour = 72 Mb/hour.\n\nThus, Ashley's internet connection speed is 72 Mb per hour.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "On the first three days, the tow truck towed a total of 10 cars per day, so in three days, it towed:\n\\[ 3 \\times 10 = 30 \\text{ cars} \\]\n\nFor the remaining four days, the truck towed four fewer cars each day. Therefore, the number of cars towed per day became:\n\\[ 10 - 4 = 6 \\text{ cars per day} \\]\n\nOver these four days, the total number of cars towed is:\n\\[ 4 \\times 6 = 24 \\text{ cars} \\]\n\nAdding these together, the total number of cars towed for the week is:\n\\[ 30 + 24 = \\boxed{54} \\text{ cars} \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how many years it will take for Adam to be tall enough to ride the roller coaster, we first need to determine how much taller he needs to be.\n\nThe height requirement for the roller coaster is 4 feet. Adam's current height is 40 inches. To compare these measurements, we need to convert Adam's height to feet. Since there are 12 inches in a foot, we divide Adam's height by 12:\n\n40 inches / 12 inches/foot = 3.333... feet\n\nNow, we subtract Adam's current height from the required height to find out how much taller he needs to be:\n\n4 feet - 3.333... feet = 0.666... feet\n\nTo find out how many years it will take for Adam to grow this additional height, we divide the required growth by his annual growth rate:\n\n0.666... feet / 2 inches/year = 0.333... years\n\nSince we can't have a fraction of a year, we'll round up to the nearest whole year because Adam will need to grow past the 0.666... feet mark to meet the height requirement. Therefore, it will take Adam 1 year to grow enough to ride the roller coaster.\n\nSo, Adam will be tall enough to ride the biggest roller coaster after $1$ year.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the cost for James to acquire each car. Since the company paid 30% of the $25,000 price, we calculate the cost as follows:\n\nCost per car = 30% of $25,000\nCost per car = 0.30 * $25,000\nCost per car = $7,500\n\nNext, we find out how much profit James made on each car. The profit is the selling price minus the cost price:\n\nProfit per car = $25,000 - $7,500\nProfit per car = $17,500\n\nNow, James gets a 10% commission on the profits. So, we calculate the commission per car:\n\nCommission per car = 10% of $17,500\nCommission per car = 0.10 * $17,500\nCommission per car = $1,750\n\nFinally, to find out how much James made in total, we multiply the commission per car by the number of cars sold:\n\nTotal commission = Commission per car * Number of cars sold\nTotal commission = $1,750 * 10\nTotal commission = $17,500\n\nSo, James made a total of $\\boxed{\\$17,500}$ from selling the used cars.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Calculate the number of riders who stay upright when a wave over 30 feet arrives:**\n Given that 25% of the riders can stay upright, we calculate this number for 100 riders:\n \\[\n 100 \\times 0.25 = 25 \\text{ riders}\n \\]\n\n2. **Determine the number of these riders who are women:**\n Since 60% of the riders who stay upright are women, we compute:\n \\[\n 25 \\times 0.60 = 15 \\text{ women}\n \\]\n\n3. **Calculate the number of men who stay upright:**\n The remaining riders who stay upright are men:\n \\[\n 25 - 15 = 10 \\text{ men}\n \\]\n\nThus, the number of men who can stay upright on the wave is $\\boxed{10}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Determine the price of the gold Jewell:**\n\n The price of a diamond Jewell is given as $2000. According to the problem, the price of a gold Jewell is \\( \\frac{4}{5} \\) times the price of a diamond Jewell. We can calculate this as follows:\n \\[\n \\text{Price of gold Jewell} = \\frac{4}{5} \\times 2000 = 1600\n \\]\n\n2. **Determine the price of the silver Jewell:**\n\n The price of a silver Jewell is $400 less than the price of the gold Jewell. Thus, we calculate:\n \\[\n \\text{Price of silver Jewell} = 1600 - 400 = 1200\n \\]\n\n3. **Calculate the total price of all three Jewells:**\n\n Now, we sum the prices of all three Jewells:\n \\[\n \\text{Total price} = \\text{Price of diamond Jewell} + \\text{Price of gold Jewell} + \\text{Price of silver Jewell}\n \\]\n Substituting the known values:\n \\[\n \\text{Total price} = 2000 + 1600 + 1200 = 4800\n \\]\n\n### Conclusion:\n\nThe total price of all three Jewells is \\( \\boxed{4800} \\).", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Max bought 16 snowflake stamps. \n\nHe bought 3 more truck stamps than snowflake stamps, so he bought 16 + 3 = 19 truck stamps.\n\nHe bought 9 fewer rose stamps than truck stamps, so he bought 19 - 9 = 10 rose stamps.\n\nIn total, Max bought 16 (snowflake) + 19 (truck) + 10 (rose) = $\\boxed{45}$ stamps.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": ": \n\nTo determine how long it will take Tom to catch up with Bob, we will follow these steps:\n\n1. **Define Variables:**\n - Let \\( x \\) be the time it takes for Tom to catch up with Bob, measured in hours.\n - Bob travels at a speed of \\( 55 \\) miles per hour.\n - Tom travels at a speed of \\( 70 \\) miles per hour.\n - Bob is initially \\( 75 \\) miles ahead of Tom.\n\n2. **Set Up the Equation:**\n - The distance that Bob travels in \\( x \\) hours is given by \\( 55x \\) miles.\n - The distance that Tom travels in \\( x \\) hours is given by \\( 70x \\) miles.\n - For Tom to catch up with Bob, the distances they travel must be equal. Therefore, we set up the equation:\n \\[\n 55x = 75 + 70x\n \\]\n\n3. **Solve for \\( x \\):**\n - First, subtract \\( 55x \\) from both sides of the equation to isolate terms involving \\( x \\):\n \\[\n 55x - 55x = 75 + 70x - 55x\n \\]\n \\[\n 0 = 75 + 15x\n \\]\n - Next, subtract \\( 75 \\) from both sides to isolate the \\( x \\)-term:\n \\[\n 0 - 75 = 75 + 15x - 75\n \\]\n \\[\n -75 = 15x\n \\]\n - Finally, divide both sides by \\( 15 \\) to solve for \\( x \\):\n \\[\n x = \\frac{-75}{15}\n \\]\n \\[\n x = -5\n \\]\n\n4. **Interpret the Solution:**\n - The negative value of \\( x \\), \\( -5 \\), indicates a miscalculation or misunderstanding. This negative value is not physically meaningful in our context, as time cannot be negative.\n\n5. **Re-evaluate the Problem:**\n - Notice that in the original problem, Tom is catching up to Bob, not being overtaken with a negative time. Therefore, the issue arises from a misinterpretation of the equation.\n\n6. **Use Correct Approach:**\n - The correct setup should account for the fact that Tom is closing the \\( 75 \\)-mile gap. Rewrite the equation correctly:\n \\[\n 55x + 75 = 70x\n \\]\n - Subtract \\( 55x \\) from both sides:\n \\[\n 75 = 70x - 55x\n \\]\n \\[\n 75 = 15x\n \\]\n - Solve for \\( x \\):\n \\[\n x = \\frac{75}{15}\n \\]\n \\[\n x = 5\n \\]\n\n7. **Conclusion:**\n - Tom will catch up with Bob in \\( 5 \\) hours.\n\n\\[\n\\boxed{5}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Naomi caught 17 fish, and Darren caught 6 less than Naomi, then Darren caught 17 - 6 = 11 fish.\n\nTommy caught 3 more fish than Darren, so Tommy caught 11 + 3 = $\\boxed{14}$ fish.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Manny signed up for $60 worth of classes, so the maximum amount they will pay per class is $60 / 10 = $6.\nIf the classes cost more than $10 per class, then they won't sign him up again.\nSo, Manny can miss a maximum of $10 - $6 = $4 worth of classes per class.\nSince each class is worth $6, Manny can miss a maximum of $4 / $6 = 2/3 of a class.\nSince he can't miss a fraction of a class, we round down to the nearest whole number.\nTherefore, Manny can miss a maximum of 2 classes before they don't sign him up again.\n#### 2\nThe answer is: 2", "answer": {"result": 2.0}}, "matches": false} +{"solution": {"solution": "1. **Determine Jewel's Daily Production**: Jewel processes 50 customers per day.\n2. **Calculate Julie's Daily Production**: Since Julie is twice as fast as Jewel, she processes \\( 2 \\times 50 = 100 \\) customers per day.\n3. **Calculate Total Daily Production**: Both together process \\( 50 + 100 = 150 \\) customers per day.\n4. **Calculate Weekly Production**: With 7 days in a week, the total weekly production is \\( 150 \\times 7 = 1050 \\) customers.\n\n$\\boxed{1050}$ customers per week.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Reggie ran 5 times what Paisley ran, so he ran 5 * 4 = 20 miles.\n\nReggie also ran 3 miles farther than Lynn, so Lynn ran 20 - 3 = 17 miles.\n\nTherefore, Lynn ran $\\boxed{17}$ miles.The answer is: 17", "answer": {"result": 17.0}}, "matches": true} +{"solution": {"solution": "1. First, determine the cost of one apple. Since four apples cost $5.20, the cost of one apple is $\\frac{5.20}{4} = 1.30$ dollars.\n2. Next, determine the cost of one orange. Since three oranges cost $3.30, the cost of one orange is $\\frac{3.30}{3} = 1.10$ dollars.\n3. Now, calculate the total cost for 5 apples: $5 \\times 1.30 = 6.50$ dollars.\n4. Similarly, calculate the total cost for 5 oranges: $5 \\times 1.10 = 5.50$ dollars.\n5. Finally, add the total costs of apples and oranges together: $6.50 + 5.50 = 12.00$ dollars.\n\nConclusion:\nClyde will pay $\\boxed{12.00}$ dollars for 5 apples and 5 oranges.The answer is: 12.00", "answer": {"result": 12.0}}, "matches": true} +{"solution": {"solution": "First, we calculate the volume of the hole Bob wants to dig. The volume \\( V \\) of a rectangular prism (hole) is given by the formula:\n\\[ V = \\text{length} \\times \\text{width} \\times \\text{depth} \\]\n\nSubstituting the given dimensions:\n\\[ V = 6 \\text{ feet} \\times 4 \\text{ feet} \\times 3 \\text{ feet} = 72 \\text{ cubic feet} \\]\n\nGiven that Bob can shovel 1 cubic foot of earth in 3 seconds, to find the time \\( T \\) required to shovel 72 cubic feet, we use the relationship:\n\\[ T = \\text{time per cubic foot} \\times \\text{number of cubic feet} \\]\n\nTherefore:\n\\[ T = 3 \\text{ seconds/cubic foot} \\times 72 \\text{ cubic feet} = 216 \\text{ seconds} \\]\n\nThus, it will take Bob:\n\\[ \\boxed{216} \\text{ seconds} \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the total cost of Bill's new truck, we start by identifying the cost of each additional feature:\n\n1. **King Cab Upgrade**: The cost of the king cab upgrade is given directly as $7,500.\n\n2. **Leather Seats**: The cost of the leather seats is one-third the cost of the king cab upgrade. Therefore, the cost is calculated as:\n \\[\n \\frac{7500}{3} = 2500 \\text{ dollars}\n \\]\n\n3. **Running Boards**: Running boards are priced $500 less than the leather seats. Thus, the cost is:\n \\[\n 2500 - 500 = 2000 \\text{ dollars}\n \\]\n\n4. **Upgraded Exterior Light Package**: This package costs $1,500.\n\nAdding these costs to the base price of the truck, which is $30,000, gives us the total cost:\n\\[\n30000 + 7500 + 2500 + 2000 + 1500 = 43500 \\text{ dollars}\n\\]\n\nTherefore, the total cost of Bill's new truck is $\\boxed{43500 \\text{ dollars}}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Tim's monthly salary is $20000. \n\nA 5% raise on his salary is calculated as:\n5% of $20000 = 0.05 * $20000 = $1000\n\nSo, his new monthly salary will be:\n$20000 + $1000 = $21000\n\nHis bonus is worth half of his monthly salary:\nHalf of $20000 = $20000 / 2 = $1000\n\nAdding the bonus to his new monthly salary gives us:\n$21000 + $1000 = $22000\n\nTo find out how much he will make in a year, we multiply his new monthly salary by 12 (months in a year):\n$22000 * 12 = $264000\n\nTherefore, Tim will make $\\boxed{\\$264000}$ in a year.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The cost of the suits is 10 suits * $750 per suit = $7500\nThe cost of the dress pants is 1/5 * $750 per suit = $150 per pair of pants\nSo the total cost of the dress pants is 10 pairs of pants * $150 per pair of pants = $1500\nThe cost of the dress shirts is 3 shirts per suit * $60 per shirt = $180 per suit\nSo the total cost of the dress shirts is 10 suits * $180 per suit = $1800\nAdding up all the costs, the total cost is $7500 + $1500 + $1800 = $10800\n#### 10800\nThe answer is: 10800", "answer": {"result": 10800.0}}, "matches": true} +{"solution": {"solution": "The first website publishes an average of 20 political and weather news articles every day. \n\nIn February, there are 28 days. \n\nSo, the total number of political and weather news articles published by the first website in February is:\n20 articles/day * 28 days = 560 articles.\n\nThe sister company publishes an average of 10 business news articles daily. \n\nAgain, over the 28 days of February, the total number of business news articles published is:\n10 articles/day * 28 days = 280 articles.\n\nTo find the total number of articles published by both websites together in February, we add the totals from each website:\n560 articles (political and weather) + 280 articles (business) = 840 articles.\n\nTherefore, the total number of articles published by the two websites together in February is $\\boxed{840}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Steve's wife is 4 years older than him, so she is 60 + 4 = 64 years old.\nTheir son is currently half as old as his mom, so he is 64 / 2 = 32 years old.\nSteve's son's wife is 3 years younger than her husband, so she is 32 - 3 = 29 years old.\nTherefore, Steve's son's wife is 29 years old.\n#### 29\nThe answer is: 29", "answer": {"result": 29.0}}, "matches": true} +{"solution": {"solution": "The total amount of flour in one bag is 8 portions * 2 kilograms per portion = 16 kilograms.\n\nSince there were three bags, the total amount of flour was 3 bags * 16 kilograms per bag = $\\boxed{48}$ kilograms.The answer is: 48", "answer": {"result": 48.0}}, "matches": true} +{"solution": {"solution": "Alisa biked at a speed of 12 miles per hour for 4.5 hours, so she biked:\n12 miles/hour * 4.5 hours = 54 miles\n\nStanley biked at a speed of 10 miles per hour for 2.5 hours, so he biked:\n10 miles/hour * 2.5 hours = 25 miles\n\nTogether, Alisa and Stanley biked:\n54 miles + 25 miles = 79 miles\n\nTherefore, Alisa and Stanley biked a total of $\\boxed{79}$ miles.The answer is: 79", "answer": {"result": 79.0}}, "matches": true} +{"solution": {"solution": "Bill can dig 4 feet/hour through soil, so it will take him 24/4 = 6 hours to dig through the soil.\nHe can dig half that fast through clay, so it will take him 8/2 = 4 hours to dig through the clay.\nTherefore, it will take Bill a total of 6 + 4 = 10 hours to dig the well.\n#### 10\nThe answer is: 10", "answer": {"result": 10.0}}, "matches": true} +{"solution": {"solution": "Howie wants to buy 2 cupcakes for each person, including himself, his teacher, and his 25 classmates. \n\nSo, he needs to buy 2 cupcakes for 1 person (himself), 2 cupcakes for 1 person (his teacher), and 2 cupcakes for 25 classmates. \n\nThat's a total of 2 + 2 + (2 * 25) cupcakes. \n\n2 + 2 = 4 (for himself and his teacher)\n2 * 25 = 50 (for his classmates)\n\n4 + 50 = 54 cupcakes in total.\n\nHowie should buy $\\boxed{54}$ cupcakes.The answer is: 54", "answer": {"result": 54.0}}, "matches": true} +{"solution": {"solution": "\n1. **Initial Likes:**\n Fishio received 2000 likes on her photo after 1 week.\n\n2. **Likes After 3 Weeks:**\n After 3 weeks, the number of likes was 70 times the initial number of likes. Therefore, the number of likes after 3 weeks is:\n \\[\n 70 \\times 2000 = 140000\n \\]\n\n3. **New Likes Recently:**\n Fishio recently received an additional 20000 likes. So, the total number of likes after these new likes is:\n \\[\n 140000 + 20000 = 160000\n \\]\n\n4. **Final Total Likes:**\n To find the final total number of likes, we add the initial likes to the likes after 3 weeks and the recent 20000 likes:\n \\[\n 2000 + 140000 + 20000 = 162000\n \\]\n\n### Conclusion:\n\\[\n\\boxed{162000}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "On Tuesday, Clara bought 20 pomegranates at $20 each, so the total cost was 20 * 20 = $400.\nShe got $2 off with her voucher, so she paid 400 - 2 = $398.\nThe next day, the price of each pomegranate was $30, so the total cost for Sheila's 20 pomegranates would have been 20 * 30 = $600.\nHowever, Sheila received a 10% discount on the total cost, which is 10/100 * 600 = $60.\nSo, Sheila paid 600 - 60 = $540 for her pomegranates.\nThe difference between the final prices paid on the two days is 540 - 398 = $142.\n#### 142\nThe answer is: 142", "answer": {"result": 142.0}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the sales of red hats**:\n - The sales from red hats in the first month are given as $400.\n\n2. **Determine the sales of green hats (first month)**:\n - The sales from red hats in the first month are half of the total sales from green hats. Therefore, the total sales from green hats in the first month can be calculated as follows:\n \\[\n \\text{Total sales from green hats in the first month} = 2 \\times \\text{Sales from red hats} = 2 \\times 400 = 800 \\text{ dollars}\n \\]\n\n3. **Calculate the total sales in the first month**:\n - The total sales in the first month are the sum of sales from red hats and green hats:\n \\[\n \\text{Total sales in the first month} = \\text{Sales from red hats} + \\text{Sales from green hats} = 400 + 800 = 1200 \\text{ dollars}\n \\]\n\n4. **Determine the sales in the second month**:\n - In the second month, the sales from green hats were 3/4 of the total sales from the first month:\n \\[\n \\text{Sales from green hats in the second month} = \\frac{3}{4} \\times \\text{Total sales in the first month} = \\frac{3}{4} \\times 1200 = 900 \\text{ dollars}\n \\]\n\n5. **Determine the sales of red hats in the second month**:\n - The sales from red hats in the second month were 1/4 of the total sales from the first month:\n \\[\n \\text{Sales from red hats in the second month} = \\frac{1}{4} \\times \\text{Total sales in the first month} = \\frac{1}{4} \\times 1200 = 300 \\text{ dollars}\n \\]\n\n6. **Calculate the total sales in the second month**:\n - The total sales in the second month are the sum of sales from red hats and green hats:\n \\[\n \\text{Total sales in the second month} = \\text{Sales from red hats in the second month} + \\text{Sales from green hats in the second month} = 300 + 900 = 1200 \\text{ dollars}\n \\]\n\n7. **Calculate the total sales over two months**:\n - The total sales over the two months are the sum of the sales from the first and second months:\n \\[\n \\text{Total sales over two months} = \\text{Total sales in the first month} + \\text{Total sales in the second month} = 1200 + 1200 = 2400 \\text{ dollars}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{2400 \\text{ dollars}}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "James gets 1 hour free, so the first paid hour starts at 6 PM. \n\nThe cost for the first paid hour is $15. \n\nEach hour after the first is twice the cost, so the second hour costs $15 * 2 = $30. \n\nSince he rented the carriage from 5 PM to 9 PM, that's a total of 4 hours of paid time. \n\nThe cost for the second hour is $30. \n\nThe cost for the third hour is $30 * 2 = $60. \n\nThe cost for the fourth hour is $60 * 2 = $120. \n\nThe total cost for the 4 hours of paid time is $15 + $30 + $60 + $120 = $225. \n\nTherefore, James paid a total of $225. \n\n#### 225\nThe answer is: 225", "answer": {"result": 225.0}}, "matches": false} +{"solution": {"solution": "\nTo find out how much money was withheld from Sally's wage, we need to calculate the difference between her expected weekly wage and the current balance in her bank account.\n\nSally's expected weekly wage is $300.\nThe current balance in her bank account is $420.\n\nThe calculation to find the amount withheld is:\n\n$420 (current balance) - $300 (expected wage) = $120\n\nThus, $\\boxed{\\$120}$ was withheld from Sally's wage.\n\nAnswer: $120 ", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Lori needs 1 whole egg to make 2 deviled egg halves. \nSo, for each deviled egg half, she needs 1/2 of an egg. \nIf each guest will eat 3 deviled egg halves, then each guest will need 3 * (1/2) = 1.5 eggs. \nLori is inviting 16 guests, so she will need 16 * 1.5 = 24 eggs. \nSince there are 12 eggs in a dozen, Lori will need 24 / 12 = 2 dozens of eggs. \n\n#### 2\nThe answer is: 2", "answer": {"result": 2.0}}, "matches": true} +{"solution": {"solution": "If Sheila already finished writing 1/3 of the paper, that means she has written 15 x 1/3 = 5 pages.\n\nTo find out how many pages she has left to write, we subtract the number of pages she has already written from the total number of pages required:\n\n15 - 5 = 10 pages.\n\nSo, Sheila has $\\boxed{10}$ pages left to write.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To determine how many days before the deadline Mike will finish reading his 200-page book at a rate of 10 pages per day, we follow these steps:\n\n1. **Identify the total number of pages in the book**: Mike has to read 200 pages.\n\n2. **Determine the daily reading rate**: Mike plans to read 10 pages each day.\n\n3. **Calculate the number of days required to finish reading the book**:\n - We divide the total number of pages by the number of pages Mike reads per day.\n \\[\n \\text{Number of days} = \\frac{\\text{Total pages}}{\\text{Daily reading rate}} = \\frac{200}{10}\n \\]\n\n4. **Perform the division**:\n \\[\n \\frac{200}{10} = 20\n \\]\n\n5. **Interpret the result**: Mike will finish reading the book in 20 days.\n\n6. **Determine how many days before the deadline Mike will be done**:\n - The deadline is 30 days from now.\n - Since Mike takes 20 days to finish, we subtract the number of days he needs from the total number of days until the deadline.\n \\[\n \\text{Days before deadline} = 30 - 20\n \\]\n\n7. **Perform the subtraction**:\n \\[\n 30 - 20 = 10\n \\]\n\n8. **Conclusion**: Mike will finish reading the book 10 days before the deadline.\n\nTherefore, the final answer is $\\boxed{10}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the monthly costs for hanging the plane and fuel. \n\nThe cost to rent a hanger is $5000 per month. \n\nThe cost for fuel is twice the cost of the hanger, so that's $5000 * 2 = $10,000 per month. \n\nNow, let's add these two costs to find the total monthly maintenance cost: $5000 (hanger) + $10,000 (fuel) = $15,000 per month. \n\nTo find the annual cost, we multiply the monthly cost by 12: $15,000 * 12 = $180,000 per year. \n\nNow, let's add the initial cost of the plane to the annual maintenance cost: $150,000 (plane cost) + $180,000 (annual maintenance) = $330,000. \n\nTherefore, the total cost for James to get and maintain the plane for the first year is $330,000. \n\nThe final answer is $\\boxed{330,000}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If it took Finley 30 minutes to cook rice, then it took her 30 + 20 = 50 minutes to cook pork. \n\nThe combined cooking time of pork and rice is 30 + 50 = 80 minutes. \n\nThe beans took half the combined cooking time of pork and rice, so they took 80 / 2 = 40 minutes to cook. \n\nTherefore, it took Finley 30 (rice) + 50 (pork) + 40 (beans) = 120 minutes to cook all the food. \n\n#### 120\nThe answer is: 120", "answer": {"result": 120.0}}, "matches": true} +{"solution": {"solution": "First, let's calculate the cost of each mixture separately.\n\nFor the first mixture with 1/2 pound of almonds and 1/3 pound of walnuts:\n- Cost of almonds = 1/2 pound * $10/pound = $5\n- Cost of walnuts = 1/3 pound * $15/pound = $5\n- Total cost for the first mixture = $5 (almonds) + $5 (walnuts) = $10\n\nFor the second mixture with 1/5 pound of almonds and 1/3 pound of walnuts:\n- Cost of almonds = 1/5 pound * $10/pound = $2\n- Cost of walnuts = 1/3 pound * $15/pound = $5\n- Total cost for the second mixture = $2 (almonds) + $5 (walnuts) = $7\n\nNow, let's find the difference in cost between the two mixtures:\n- Difference in cost = $10 (first mixture) - $7 (second mixture) = $3\n\nThe first mixture costs $\\boxed{\\$3}$ more than the second mixture.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let S be the number of sheep and G be the number of geese.\nWe know that each sheep has 4 legs and each goose has 2 legs.\nWe also know that the total number of animal legs is 70, so we can write: 4S + 2G = 70.\nWe also know that the total number of animal heads is 20, so we can write: S + G = 20.\nWe can solve this system of equations to find the values of S and G.\nMultiplying the second equation by 2, we get: 2S + 2G = 40.\nSubtracting this equation from the first equation, we get: 4S + 2G - (2S + 2G) = 70 - 40.\nSimplifying, we get: 2S = 30.\nDividing both sides by 2, we get: S = 15.\nTherefore, there are 15 sheep on Lee's farm.\n#### 15\nThe answer is: 15", "answer": {"result": 15.0}}, "matches": true} +{"solution": {"solution": "To calculate the total cost, we break down the expenses into two main categories: the cost of coffee and the cost of donuts.\n\nFirst, let's calculate the cost of the more expensive brand of coffee. The regular brand costs $5 per pound, and the more expensive brand costs 20% more. \n\n- The additional cost per pound for the more expensive brand is $5 * 20% = $1.\n- Therefore, the cost of the more expensive brand per pound is $5 + $1 = $6.\n\nRoger buys a week's worth of coffee, which is 7 days, and he uses 1 pound of coffee per day. So, he needs 7 pounds of coffee.\n\n- The total cost for the more expensive brand is 7 pounds * $6/pound = $42.\n\nNext, we calculate the cost of donuts. Roger buys a donut for $2 each day for a week.\n\n- The total cost for donuts is 7 days * $2/day = $14.\n\nFinally, to find the total cost, we add the cost of the coffee and the cost of the donuts.\n\n- Total cost = Cost of coffee + Cost of donuts = $42 + $14 = $56.\n\nTherefore, the total cost for Roger's coffee and donuts for a week is $\\boxed{56}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Gus spent $2.00 x 2 = $4.00 on bag of chips.\nHe spent $4.00 + $8.00 = $12.00 on the bucket of fried chicken and bottle of soda.\nTherefore, the apple pie cost $20.00 - $12.00 = $8.00.\nThe answer is 8", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how many newspapers James delivers to District B, we can subtract the number of newspapers delivered to District A and District C from the total number of newspapers delivered in a day.\n\nTotal newspapers delivered = 600\nNewspapers delivered to District A = 198\nNewspapers delivered to District C = 209\n\nNewspapers delivered to District B = Total newspapers delivered - (Newspapers delivered to District A + Newspapers delivered to District C)\nNewspapers delivered to District B = 600 - (198 + 209)\nNewspapers delivered to District B = 600 - 407\nNewspapers delivered to District B = 193\n\nJames delivers $\\boxed{193}$ newspapers to District B.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, we follow these steps:\n\n1. **Calculate the total hours of class time**: Since the class meets 4 times a week for 2 hours each time, and there are 6 weeks, we calculate the total hours of class time as follows:\n\\[4 \\text{ times/week} \\times 2 \\text{ hours/time} \\times 6 \\text{ weeks} = 48 \\text{ hours}\\]\n\n2. **Determine how many recipes John learns per hour**: Given that he learns a new recipe for every 1.5 hours of class time, we find out how many recipes he learns per hour by dividing the total hours by 1.5:\n\\[48 \\text{ hours} \\div 1.5 \\text{ hours/recipe} = 32 \\text{ recipes/hour}\\]\n\n3. **Calculate the total number of recipes learned**: Finally, to find out how many recipes John learns in total, we multiply the number of recipes learned per hour by the total hours of class time:\n\\[32 \\text{ recipes/hour} \\times 48 \\text{ hours} = 1536 \\text{ recipes}\\]\n\nTherefore, John learns $\\boxed{1536}$ recipes in the class.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Out of the 150 teachers, 60% are history teachers, so there are 150 * 0.60 = 90 history teachers. \n\nThe remaining teachers are math teachers, so there are 150 - 90 = 60 math teachers. \n\nIf each teacher sleeps for 6 hours a day, then the math teachers collectively spend 60 * 6 = 360 hours sleeping in one day. \n\n#### 360\nThe answer is: 360", "answer": {"result": 360.0}}, "matches": true} +{"solution": {"solution": "\n\nFirst, let's find out how much money Kassidy has. Since Kassidy has 3/4 times as much money as Aurelia, and Aurelia has $120, we can calculate Kassidy's money as follows:\n\nKassidy's money = (3/4) * Aurelia's money\nKassidy's money = (3/4) * $120\nKassidy's money = $90\n\nNow, let's find out how much money Rayna has. Rayna has 60 more dollars than Kassidy, so:\n\nRayna's money = Kassidy's money + $60\nRayna's money = $90 + $60\nRayna's money = $150\n\nNext, let's find out the total amount of money they have together:\n\nTotal money = Rayna's money + Kassidy's money + Aurelia's money\nTotal money = $150 + $90 + $120\nTotal money = $360\n\nNow, if they decide to share the money equally among the three of them, each person would get:\n\nEach person's share = Total money / 3\nEach person's share = $360 / 3\nEach person's share = $120\n\nSo, each person would have $\\$120$ after sharing the money equally.\n\nAnswer: $120", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the total duration of the basketball game, we follow these steps:\n\n1. Calculate the duration of the first three quarters. Since each quarter is 12 minutes long, for three quarters, we have:\n\\[3 \\times 12 = 36 \\text{ minutes}\\]\n\n2. Add the extra five minutes to the last quarter because of the tie, making the last quarter 17 minutes long:\n\\[12 + 5 = 17 \\text{ minutes}\\]\n\n3. Finally, add the duration of the first three quarters and the extended last quarter to find the total game time:\n\\[36 + 17 = 53 \\text{ minutes}\\]\n\nTherefore, the entire game lasted $\\boxed{53}$ minutes.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Out of 50 employees, 20% are management, so there are 50 * 0.20 = 10 management employees.\n\nOut of these 10 management employees, 30% oversee the entire company, so there are 10 * 0.30 = $\\boxed{3}$ employees who oversee the company.\nThe answer is: 3", "answer": {"result": 3.0}}, "matches": true} +{"solution": {"solution": "To find out the total amount of dry ingredients needed for 16 muffins, we first calculate the total amount needed for one muffin and then multiply by 16.\n\nFor one muffin:\n- Flour: $5$ tablespoons\n- Sugar: $3$ tablespoons\n- Salt: $0.25$ tablespoon\n\nAdding these together gives the total dry ingredients needed for one muffin:\n\\[5 \\, \\text{tablespoons (flour)} + 3 \\, \\text{tablespoons (sugar)} + 0.25 \\, \\text{tablespoons (salt)} = 8.25 \\, \\text{tablespoons}\\]\n\nFor 16 muffins, the total dry ingredients needed would be:\n\\[8.25 \\, \\text{tablespoons/muffin} \\times 16 \\, \\text{muffins} = 132 \\, \\text{tablespoons}\\]\n\nTherefore, Svetlana would need $\\boxed{132}$ tablespoons of dry ingredients to make 16 muffins.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, we need to find the total amount of candy they have combined:\n\nRobert's candy: 3 pounds\nCindy's candy: 5 pounds\nAaron's candy: 4 pounds\n\nTotal candy = Robert's candy + Cindy's candy + Aaron's candy\nTotal candy = 3 + 5 + 4\nTotal candy = 12 pounds\n\nNow, they want to share the candy equally between the three of them. To find out how much candy each person would have, we divide the total amount of candy by the number of people:\n\nCandy per person = Total candy / Number of people\nCandy per person = 12 / 3\nCandy per person = 4 pounds\n\nSo, each person would have $\\boxed{4}$ pounds of candy after sharing equally.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Identify costs:**\n - Cost of one type A candy: $\\$0.5$\n - Cost of one type B candy: $\\$0.75$\n\n2. **Determine the total number of candies and their respective costs:**\n - Number of type A candies: $7$\n - Number of type B candies: $10$\n\n3. **Calculate the total cost of type A candies:**\n \\[\n \\text{Total cost of type A candies} = 7 \\times \\$0.5 = \\$3.5\n \\]\n\n4. **Calculate the total cost of type B candies:**\n \\[\n \\text{Total cost of type B candies} = 10 \\times \\$0.75 = \\$7.5\n \\]\n\n5. **Find the total amount spent:**\n \\[\n \\text{Total amount spent} = \\$3.5 + \\$7.5 = \\$11\n \\]\n\n6. **Determine the change given by Adam:**\n - Adam paid $\\$15$\n - Total cost is $\\$11$\n\n Therefore, the change received by Adam is:\n \\[\n \\$15 - \\$11 = \\$4\n \\]\n\n### Conclusion:\n\\[\n\\boxed{\\$4}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Christina recorded her mood for thirty days in total. According to the information provided:\n- Twelve days were good.\n- Eight days were bad.\n- This leaves $30 - 12 - 8 = 10$ days neutral.\n\nThe mood sequence over the thirty days is described as follows:\n- Days 1 through 8: 8 good days.\n- Days 9 through 16: 8 bad days.\n- Days 17 through 24: 8 neutral days.\n- Days 25 through 30: The moods of these days are given as good, neutral, and good.\n\nTo determine the number of good days left, we analyze the remaining days:\n- The sequence of moods in the last three days is good, neutral, and good.\n- Therefore, the good moods in the last three days are on days 25 and 27.\n\nSince Christina already had 8 good days (from days 1 to 8), and she had 2 more good days (on days 25 and 27), the total number of good days is:\n\\[ 8 + 2 = 10 \\]\n\nThus, Christina had $\\boxed{10}$ good days in total.The answer is: 10", "answer": {"result": 10.0}}, "matches": false} +{"solution": {"solution": "Let's denote the number of books Sally has as S. According to the problem, Janey has 3 more than twice the number of books Sally has. This can be expressed as:\n\nJaney's books = 2 * Sally's books + 3\n\nWe know Janey has 21 books, so we can substitute this value into our equation:\n\n21 = 2S + 3\n\nNow, we need to solve for S (Sally's books). First, we'll subtract 3 from both sides of the equation to isolate the term with S:\n\n21 - 3 = 2S\n18 = 2S\n\nNext, we'll divide both sides by 2 to solve for S:\n\n18 / 2 = S\n9 = S\n\nTherefore, Sally has $\\boxed{9}$ books.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nFirst, we need to convert the height of the bamboo from feet to inches. Since 1 foot is equal to 12 inches, 20 feet is equal to 20 * 12 = 240 inches.\n\nNext, we need to find out how many inches the bamboo needs to grow to reach a height of 600 inches. This can be calculated by subtracting the current height from the desired height: 600 - 240 = 360 inches.\n\nNow, we know that the bamboo grows 30 inches per day. To find out how many days it will take for the bamboo to reach a height of 600 inches, we can divide the total growth needed by the daily growth rate: 360 / 30 = 12 days.\n\nTherefore, it will take 12 days for the bamboo's height to reach 600 inches.\n\nThe answer is: 12", "answer": {"result": 12.0}}, "matches": true} +{"solution": {"solution": "James initially has 4 toys for 4 dogs, which means each dog has 1 toy. \n\nWhen there are 8 more dogs, the total number of dogs becomes 4 (initial) + 8 (new) = 12 dogs. \n\nSince each dog needs one toy, James needs 12 toys for these 12 dogs. \n\nHowever, when James comes back for the second time, there are twice as many more dogs as when he left. This means there are 2 * 8 = 16 more dogs than the 12 he initially planned for. \n\nSo, the total number of dogs now becomes 12 (initial) + 16 (additional) = 28 dogs. \n\nJames had already purchased 12 toys for the 12 dogs, so he now needs to buy enough toys for the 16 additional dogs. \n\nTherefore, James needs to buy 16 toys for these 16 dogs. \n\nWhen James comes back the third time, 3 dogs are gone. Since these 3 dogs are no longer in the shelter, James no longer needs the toys he had bought for them. \n\nIn total, James needs to buy 16 toys for the 16 dogs that are still in the shelter. \n\nSo, James needs $\\boxed{16}$ toys in total.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nFirst, let's determine how much Dylan invested. Since Dylan invested 2/5 of the total amount, we can calculate his investment as follows:\n\nDylan's investment = 2/5 * $1200 = $480\n\nNow, let's find out how much money was remaining after Dylan's investment:\n\nRemaining amount = Total amount - Dylan's investment\nRemaining amount = $1200 - $480 = $720\n\nNext, we need to calculate Frances' investment, which is 2/3 of the remaining amount:\n\nFrances' investment = 2/3 * $720 = $480\n\nFinally, we can determine Skyler's investment by subtracting Frances' investment from the remaining amount:\n\nSkyler's investment = Remaining amount - Frances' investment\nSkyler's investment = $720 - $480 = $240\n\nTherefore, Skyler's investment was $240.\n\nAnswer:\n\nSkyler invested $240.\n\nThe final answer is $240.\n\nAnswer:\n\nSkyler invested $240.\n\nFinal answer: $\\boxed{240}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nCarol and Jennifer have already collected a total of 20 + 44 = 64 signatures.\n\nThey want to reach a total of 100 signatures by the end of the summer.\n\nSo, they need to collect an additional 100 - 64 = 36 signatures.\n\nTherefore, the sisters need to collect 36 signatures to reach their goal.\n\nAnswer: 36", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, we need to calculate Karen's hourly wage. Since Karen earns twice what Lorie earns, and Lorie earns $10 per hour, Karen earns:\n\n$10 per hour * 2 = $20 per hour\n\nNext, we need to calculate Karen's daily earnings. She works 3 hours per day, so her daily earnings are:\n\n$20 per hour * 3 hours = $60 per day\n\nFinally, to find out how much Karen earns in two days, we multiply her daily earnings by 2:\n\n$60 per day * 2 days = $120\n\nTherefore, Karen earns $\\$120$ in two days.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nTo find out how many hash browns can be made from 96 potatoes, we can set up a proportion based on the given information. We know that 6 potatoes make 36 hash browns. We want to find out how many hash browns, \\( x \\), can be made from 96 potatoes. \n\n1. **Set up the proportion:**\n \\[\n \\frac{6 \\text{ potatoes}}{36 \\text{ hash browns}} = \\frac{96 \\text{ potatoes}}{x \\text{ hash browns}}\n \\]\n \n2. **Cross-multiply to solve for \\( x \\):**\n \\[\n 6 \\times x = 36 \\times 96\n \\]\n \\[\n 6x = 3456\n \\]\n\n3. **Solve for \\( x \\) by dividing both sides by 6:**\n \\[\n x = \\frac{3456}{6}\n \\]\n \\[\n x = 576\n \\]\n\n4. **Conclusion:**\n \\[\n \\boxed{576}\n \\]\n\nThus, 96 potatoes can make 576 hash browns.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Jack rides the elevator with 8 other adults, there will be a total of 9 adults in the elevator. \n\nThe total weight of 9 adults can be calculated as follows: \n\n9 adults * 80 kg/adult = 720 kg\n\nThe maximum load the elevator can support is 700 kg, so the excess weight is: \n\n720 kg - 700 kg = 20 kg\n\nTherefore, by riding the elevator with 8 other adults, they will have exceeded the maximum load of the elevator by 20 kg. \n\nThe answer is: 20", "answer": {"result": 20.0}}, "matches": true} +{"solution": {"solution": "To solve the problem, we start by determining the number of cookies each person has based on the information given:\n\n1. **Find Max's Cookies**:\n - Katarina has 5 less cookies than Max. Given Katarina has 68 cookies, we calculate Max's cookies as:\n \\[\n \\text{Max's Cookies} = \\text{Katarina's Cookies} + 5 = 68 + 5 = 73\n \\]\n\n2. **Find Cookie Monster's Cookies**:\n - Max has 12 more cookies than the Cookie Monster. With Max having 73 cookies, we find the Cookie Monster's cookies as:\n \\[\n \\text{Cookie Monster's Cookies} = \\text{Max's Cookies} - 12 = 73 - 12 = 61\n \\]\n\n3. **Find Summer's Cookies**:\n - Summer has 23 more cookies than Max. With Max having 73 cookies, Summer's cookies are calculated as:\n \\[\n \\text{Summer's Cookies} = \\text{Max's Cookies} + 23 = 73 + 23 = 96\n \\]\n\n4. **Calculate the Total Cookies**:\n - To find the total number of cookies they all have, we add up the cookies each person has:\n \\[\n \\text{Total Cookies} = \\text{Katarina's Cookies} + \\text{Max's Cookies} + \\text{Cookie Monster's Cookies} + \\text{Summer's Cookies}\n \\]\n Substituting the values we found:\n \\[\n \\text{Total Cookies} = 68 + 73 + 61 + 96 = 298\n \\]\n\nTherefore, the total number of cookies they all have is $\\boxed{298}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nLet's denote the original length of the dress as L. \nShania extends the dress by 50% of its original length, which means she adds 0.5L to the original length. \nShe also adds 20cm to the bottom of the dress with a lace trim. \nThe final design is 140cm long, so we can set up the equation: \n\nL + 0.5L + 20 = 140\n\nCombining like terms, we get: \n\n1.5L + 20 = 140\n\nSubtracting 20 from both sides, we get: \n\n1.5L = 120\n\nDividing both sides by 1.5, we get: \n\nL = 80\n\nSo, the original length of the dress was 80cm. \n\n#### 80\nThe answer is: 80", "answer": {"result": 80.0}}, "matches": true} +{"solution": {"solution": "1. **Convert the time for each mode into minutes:**\n - Turtle mode: 1 hour = 60 minutes\n - Rabbit mode: 40 minutes\n\n2. **Calculate the time taken for half the lawn in each mode:**\n - Half in turtle mode: \\( \\frac{60 \\text{ minutes}}{2} = 30 \\text{ minutes} \\)\n - Half in rabbit mode: \\( \\frac{40 \\text{ minutes}}{2} = 20 \\text{ minutes} \\)\n\n3. **Add the times from both modes:**\n \\[\n 30 \\text{ minutes} + 20 \\text{ minutes} = 50 \\text{ minutes}\n \\]\n\nThus, it took Chris a total of:\n\\[\n\\boxed{50 \\text{ minutes}}\n\\]\n\nConclusion:\nThe problem is solvable and the solution is consistent with the given conditions. The calculation correctly combines the mowing times for half the lawn in each mode and provides a clear, final answer.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "John and Jack have a total of 30 minutes to get to school. They spend 6 minutes to reach the corner where the library is and an additional 13 minutes to reach the fire station. To find out how much time they have left, we subtract the time spent so far from the total time available.\n\nTime spent so far = Time to library + Time to fire station\nTime spent so far = 6 minutes + 13 minutes\nTime spent so far = 19 minutes\n\nTime left to get to school = Total time available - Time spent so far\nTime left to get to school = 30 minutes - 19 minutes\nTime left to get to school = 11 minutes\n\nJohn and Jack have $\\boxed{11}$ minutes remaining to get to school without being late.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Catherine buys 1 kilo of apples for $4, so she pays 1 * $4 = $4 for apples.\n\nShe buys 2 kilos of bananas for $2 per kilo, so she pays 2 * $2 = $4 for bananas.\n\nShe buys 2 kilos of oranges for $3 per kilo, so she pays 2 * $3 = $6 for oranges.\n\nIn total, she pays $4 for apples + $4 for bananas + $6 for oranges = $14.\n\n#### 14\nThe answer is: 14", "answer": {"result": 14.0}}, "matches": true} +{"solution": {"solution": "Greta bakes 30 cookies.\nCelinda bakes twice as many as Greta, so she bakes 2 * 30 = 60 cookies.\nTogether, they bake 30 + 60 = 90 cookies.\nThey eat 10 cookies while they are cooling, so there are 90 - 10 = 80 cookies left in the box.\n#### 80\nThe answer is: 80", "answer": {"result": 80.0}}, "matches": true} +{"solution": {"solution": "Let's denote the ages of the twins as T1 and T2, and the ages of the triplets as Tr1, Tr2, and Tr3. \n\nFrom the information given, we know that T1 is 7 years older than Tr1. So we can write:\n\nT1 = Tr1 + 7\n\nWe also know that the combined ages of all four children are 44 years. So we can write:\n\nT1 + T2 + Tr1 + Tr2 + Tr3 = 44\n\nSince T1 and T2 are twins, they have the same age, and the same applies to Tr1, Tr2, and Tr3, who are triplets. So we can simplify the equation to:\n\n2T1 + 3Tr1 = 44\n\nNow, we need to find a combination of T1 and Tr1 that satisfies this equation. Since T1 is 7 years older than Tr1, we can express T1 in terms of Tr1:\n\n2(Tr1 + 7) + 3Tr1 = 44\n\nExpanding the equation, we get:\n\n2Tr1 + 14 + 3Tr1 = 44\n\nCombining like terms:\n\n5Tr1 + 14 = 44\n\nSubtracting 14 from both sides:\n\n5Tr1 = 30\n\nDividing both sides by 5:\n\nTr1 = 6\n\nNow that we know Tr1 is 6 years old, we can find T1, which is 7 years older:\n\nT1 = Tr1 + 7\nT1 = 6 + 7\nT1 = 13\n\nTherefore, one of the twins is $\\boxed{13}$ years old.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nFirst, let's convert the total time John has before dinner into minutes:\n3 hours = 3 * 60 minutes = 180 minutes\n\nNext, let's add up the time for each type of homework:\nMath homework = 20 minutes\nReading homework = 40 minutes\nHistory homework = 20 minutes\n\nTotal homework time = 20 + 40 + 20 = 80 minutes\n\nNow, let's subtract the homework time from the total time John has before dinner:\n180 minutes - 80 minutes = 100 minutes\n\nJohn has 100 minutes to nap before he has to eat dinner.\n\nAnswer:\n\nJohn has 100 minutes to nap.\n\nAnswer: \\boxed{100}", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. First, we need to determine the cost of one candy. We know that Manolo bought 5 lollipops and 4 candies for a total of $3.20. Each lollipop costs $0.40.\n2. Calculate the total cost of the 5 lollipops:\n \\[\n 5 \\times 0.40 = 2.00\n \\]\n3. Subtract the cost of the lollipops from the total cost to find the cost of the candies:\n \\[\n 3.20 - 2.00 = 1.20\n \\]\n4. Determine the cost of one candy by dividing the total cost of the candies by the number of candies:\n \\[\n \\frac{1.20}{4} = 0.30\n \\]\n5. Now calculate the total cost for 10 lollipops and 10 candies. First, find the total cost of 10 lollipops:\n \\[\n 10 \\times 0.40 = 4.00\n \\]\n6. Then, find the total cost of 10 candies:\n \\[\n 10 \\times 0.30 = 3.00\n \\]\n7. Sum the costs of the lollipops and candies to find the total cost:\n \\[\n 4.00 + 3.00 = 7.00\n \\]\n\n### Conclusion:\nThe total cost for 10 lollipops and 10 candies is $\\boxed{7.00}$ dollars.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Rong saves 20 coins every month, so after ten years (120 months), he will have saved:\n20 coins/month * 120 months = 2400 coins.\n\nNeil saves 2/5 times more coins than Rong each month, so he saves:\n20 coins/month * (1 + 2/5) = 20 coins/month * 7/5 = 28 coins/month.\n\nAfter ten years (120 months), Neil will have saved:\n28 coins/month * 120 months = 3360 coins.\n\nTogether, Rong and Neil will have saved:\n2400 coins (Rong) + 3360 coins (Neil) = 5760 coins.\n\nThey will have a total of 5760 coins after ten years.\n\n#### 5760\nThe answer is: 5760", "answer": {"result": 5760.0}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total cost of the vaccines. Since each vaccine costs $20 and he needs 2 vaccines, the total cost for the vaccines is:\n\n2 vaccines * $20/vaccine = $40\n\nNext, we need to find out the total cost of the heartworm check. The heartworm check is 60% of the total bill. Let's call the total bill \"T\". Therefore, the cost of the heartworm check is 0.60 * T.\n\nThe total bill (T) is the sum of the cost of the vaccines and the cost of the heartworm check:\n\nT = $40 (vaccines) + 0.60 * T\n\nTo find the total bill (T), we need to solve for T in the equation above. First, let's isolate 0.60 * T on one side:\n\n0.60 * T = T - $40\n\nNow, divide both sides by 0.60 to solve for T:\n\nT = ($40 / 0.60)\n\nT = $66.67 (rounded to the nearest cent)\n\nNow that we have the total bill, we can calculate the cost of the heartworm check, which is 60% of the total bill:\n\nCost of heartworm check = 0.60 * $66.67 = $40\n\nFinally, let's calculate how much John leaves with after paying for the services:\n\nAmount left = Amount brought - Total bill\nAmount left = $125 - $66.67\nAmount left = $58.33\n\nJohn leaves with $\\boxed{\\$58.33}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Identify the cost of each type of fruit per piece:**\n - One apple costs \\( \\$0.50 \\).\n - One banana costs \\( 2 \\times \\$0.50 = \\$1.00 \\).\n - One orange costs \\( 3 \\times \\$1.00 = \\$3.00 \\).\n\n2. **Calculate the total cost for each type of fruit in the crate:**\n - Bananas: \\( 5 \\times \\$1.00 = \\$5.00 \\).\n - Apples: \\( 12 \\times \\$0.50 = \\$6.00 \\).\n - Oranges: \\( 7 \\times \\$3.00 = \\$21.00 \\).\n\n3. **Sum the costs of all types of fruit to find the total cost of the crate:**\n \\[\n \\$5.00 + \\$6.00 + \\$21.00 = \\$32.00\n \\]\n\n4. **Conclusion:**\n The total price for the crate of fruit is \\( \\$32.00 \\).\n\n\\[\n\\boxed{32}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nTo find the total number of squares on Brittany's comforter, we can add up the number of squares for each color.\n\n- Red squares: 14\n- Blue squares: 14 + 4 = 18\n- Green squares: 18 + 6 = 24\n- White squares: 24 - 12 = 12\n\nNow, we add up all the squares to find the total number of squares:\n\n14 (red) + 18 (blue) + 24 (green) + 12 (white) = 68 squares\n\nSince each square is 1-foot by 1-foot, we can find the total square footage by multiplying the number of squares by the area of each square:\n\n68 squares * 1 square foot/square = 68 square feet\n\nBrittany's comforter is $\\boxed{68}$ square feet.The answer is: 68", "answer": {"result": 68.0}}, "matches": true} +{"solution": {"solution": "Mia needs to accommodate 42 adults and 15 babies, making a total of 42 + 15 = 57 chairs needed. \n\nCurrently, Mia has 8 high chairs. Since there are 5 times as many regular chairs as high chairs, there are 5 * 8 = 40 regular chairs. \n\nAdding the high chairs and regular chairs together, Mia currently has 8 high chairs + 40 regular chairs = 48 chairs. \n\nTo find out how many more chairs Mia needs, subtract the number of chairs she currently has from the total number needed: \n\n57 total chairs needed - 48 chairs currently available = 9 more chairs needed. \n\nTherefore, Mia needs to get $\\boxed{9}$ more chairs.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If 50 percent of the deer are bucks, then there are 50 * 0.50 = 25 bucks.\n\nIf 20 percent of the bucks are 8 points, then there are 25 * 0.20 = 5 bucks that are 8 points.\n\nTherefore, there are $\\boxed{5}$ 8 point bucks.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Determine the number of points collected by Betty:**\n Since Betty collected 30% more points than Adam, we can calculate the points collected by Betty as follows:\n \\[\n \\text{Points collected by Betty} = 50 + 0.3 \\times 50 = 50 + 15 = 65 \\text{ points}\n \\]\n\n2. **Determine the number of points collected by Tom:**\n Tom has 30 points less than Betty. Therefore, Tom's points can be calculated as:\n \\[\n \\text{Points collected by Tom} = 65 - 30 = 35 \\text{ points}\n \\]\n\n3. **Determine the number of points collected by Martha:**\n Martha collected 3 times more points than Tom. Hence, the points collected by Martha are:\n \\[\n \\text{Points collected by Martha} = 3 \\times 35 = 105 \\text{ points}\n \\]\n\n4. **Calculate the total points collected by the class:**\n Summing up the points collected by all students in Class 3B:\n \\[\n \\text{Total points} = 50 + 65 + 35 + 105 = 255 \\text{ points}\n \\]\n\n5. **Determine the difference between the total points collected and the required points for the trip:**\n The class needs 400 points to go on the trip, thus:\n \\[\n \\text{Points needed} = 400 - 255 = 145 \\text{ points}\n \\]\n\n### Conclusion:\nThe class is missing:\n\\[\n\\boxed{145 \\text{ points}}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Great Grandma Jones has 3 children.\nEach of her children has 3 grandchildren, so there are 3 x 3 = 9 grandchildren in total.\nEach grandchild has 3 great grand-babies, so there are 9 x 3 = 27 great grand-babies in total.\nGreat Grandma Jones will have 27 great grand-babies to kiss at the family reunion.\n#### 27\nThe answer is: 27", "answer": {"result": 27.0}}, "matches": true} +{"solution": {"solution": "Greta puts 50% of her paycheck into her retirement account, which is 50/100 * $2400.00 = $1200.00.\n\nAfter contributing to her retirement account, she has $2400.00 - $1200.00 = $1200.00 left.\n\nGreta then uses 20% of her paycheck for her monthly car payment, which is 20/100 * $2400.00 = $480.00.\n\nAfter making her car payment, she has $1200.00 - $480.00 = $720.00 left to spend. \n\nSo, Greta has $\\boxed{\\$720.00}$ left to spend after funding her retirement and paying for her car.The answer is: 720", "answer": {"result": 720.0}}, "matches": true} +{"solution": {"solution": "If there are 4 pencils missing from the box, then there are 20 - 4 = 16 pencils in the box.\nSince each pair of pencils consists of 2 pencils, the number of pairs of pencils in the box is 16 / 2 = 8.\n#### 8\nThe answer is: 8", "answer": {"result": 8.0}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total number of fireworks set off by the city:\n\n15 boxes * 20 fireworks per box = 300 fireworks\n\nNow, let's calculate the number of fireworks Hannah's backyard will add:\n\n3 boxes * 5 fireworks per box = 15 fireworks\n\nAdding these together gives us the total number of fireworks:\n\n300 + 15 = 315 fireworks\n\nNext, we need to find out how many fireworks Hannah will see, which is 40% of the total:\n\n40% of 315 = 0.40 * 315 = 126 fireworks\n\nSo, Hannah will see a total of $\\boxed{126}$ fireworks.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nAiden and his 13 friends (12 + 1) are going to the cinema, so they need 13 seats. They meet up with 7 more friends, making a total of 20 people. Therefore, they need 20 seats.\n\nEach seat can hold one person, two drinks, and three snacks. Since they have 20 seats, they need:\n\n- 20 people\n- 20 * 2 = 40 drinks\n- 20 * 3 = 60 snacks\n\nSince each drink and snack costs $2, the total cost for drinks and snacks is:\n\n- 40 drinks * $2/drink = $80\n- 60 snacks * $2/snack = $120\n\nAdding these together, the group has spent a total of $80 + $120 = $200 on drinks and snacks.\n\nAnswer:\n\n$200", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's find out how much gravel Gordy's truck can carry. Since Gordy's truck can haul 800 pounds more than Gissela's truck, and Gissela's truck can carry 4,000 pounds, Gordy's truck can carry:\n\n4,000 pounds + 800 pounds = 4,800 pounds\n\nNow, let's find out the combined capacity of Gissela's and Gordy's trucks:\n\n4,000 pounds (Gissela's truck) + 4,800 pounds (Gordy's truck) = 8,800 pounds\n\nSince the three trucks combined can haul a total of 11,600 pounds of gravel, we can find out how much Gary's truck can carry by subtracting the combined capacity of Gissela's and Gordy's trucks from the total capacity:\n\n11,600 pounds (total capacity) - 8,800 pounds (combined capacity of Gissela and Gordy) = 2,800 pounds\n\nTherefore, Gary's truck can carry $\\boxed{2,800}$ pounds of gravel.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote the number of dumplings eaten by each female as \\( f \\). According to the problem, each female ate 3 dumplings, so \\( f = 3 \\).\n\nSince there are 6 females, the total number of dumplings eaten by females is \\( 6f \\).\n\nEach male ate 1 more dumpling than each female, so each male ate \\( f + 1 \\). Therefore, each male ate \\( 3 + 1 = 4 \\) dumplings.\n\nThere are 8 males, including Larry, so the total number of dumplings eaten by males is \\( 8(f + 1) \\).\n\nSubstituting \\( f = 3 \\) into the equation, the total number of dumplings eaten by males is \\( 8(3 + 1) = 8 \\times 4 = 32 \\).\n\nThe total number of dumplings eaten by all friends is the sum of dumplings eaten by females and males, which is \\( 6f + 8(f + 1) \\).\n\nSubstituting \\( f = 3 \\) into the equation, the total number of dumplings eaten is \\( 6 \\times 3 + 8(3 + 1) = 18 + 32 = 50 \\).\n\nTherefore, Larry cooked $\\boxed{50}$ dumplings.The answer is: 50", "answer": {"result": 50.0}}, "matches": true} +{"solution": {"solution": "1. **Determine the total ratio parts**: The ratio given is 3:2, which means there are a total of \\(3 + 2 = 5\\) parts.\n\n2. **Calculate the value of one part**:\n \\[\n \\text{Value of one part} = \\frac{\\text{Total amount}}{\\text{Total parts}} = \\frac{100}{5} = 20 \\text{ dollars}\n \\]\n\n3. **Determine Gerald's share**:\n - Gerald's share is 3 parts, so:\n \\[\n \\text{Gerald's share} = 3 \\times 20 = 60 \\text{ dollars}\n \\]\n\n4. **Calculate the amount Gerald has left after spending $10**:\n - After spending $10 on a book:\n \\[\n \\text{Money left} = \\text{Gerald's share} - \\text{Amount spent} = 60 - 10 = 50 \\text{ dollars}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{50}\n\\]\n\n---\n\n\n1. **Determine the total sum**: The total sum of the ages is 54 years.\n\n2. **Set up the equation**:\n Let \\( x \\) be the current age of Mr. Smith.\n - His daughter's age is \\( x + 7 \\) years old.\n - His son's age is \\( x + 14 \\) years old.\n - The equation representing their combined ages is:\n \\[\n x + (x + 7) + (x + 14) = 54\n \\]\n\n3. **Solve for \\( x \\)**:\n Combine like terms:\n \\[\n 3x + 21 = 54\n \\]\n Subtract 21 from both sides:\n \\[\n 3x = 33\n \\]\n Divide by 3:\n \\[\n x = 11\n \\]\n\n4. **Determine the ages**:\n - Mr. Smith's age: \\( x = 11 \\) years.\n - Daughter's age: \\( 11 + 7 = 18 \\) years.\n - Son's age: \\( 11 + 14 = 25 \\) years.\n\n### Conclusion:\n\\[\n\\boxed{\\text{Son: 25 years, Daughter: 18 years, Father: 11 years}}\n\\]\n\n---\n\n\n1. **Identify the variables**:\n Let \\( x \\) be the number of rabbits Daisy initially had.\n\n2. **Calculate the number of rabbits after 1 month**:\n Each rabbit reproduces, so the number of rabbits becomes:\n \\[\n 2x + 1\n \\]\n\n3. **Calculate the number of rabbits after 2 months**:\n Each of these rabbits also reproduces, so the total becomes:\n \\[\n (2x + 1) \\times 2 + 1 = 4x + 3\n \\]\n\n4. **Set up the equation based on the total rabbits**:\n The total number of rabbits after 2 months is 95:\n \\[\n 4x + 3 = 95\n \\]\n\n5. **Solve for \\( x \\)**:\n Subtract 3 from both sides:\n \\[\n 4x = 92\n \\]\n Divide by 4:\n \\[\n x = 23\n \\]\n\n### Conclusion:\n\\[\n\\boxed{23}\n\\]\n\n---\n\n\n1. **Determine the number of tickets sold**:\n Let \\( x \\) be the number of tickets sold.\n\n2. **Calculate the total sales**:\n Each ticket is sold for $10, so the total sales are:\n \\[\n 10x\n \\]\n\n3. **Calculate the total cost of printing**:\n The cost to print each ticket is $0.05, and there are 500 tickets:\n \\[\n 0.05 \\times 500 = 25\n \\]\n\n4. **Set up the equation based on profit**:\n The profit is $500, so:\n \\[\n 10x - 25 = 500\n \\]\n\n5. **Solve for \\( x \\)**:\n Add 25 to both sides:\n \\[\n 10x = 525\n \\]\n Divide by 10:\n \\[\n x = 52.5\n \\]\n\n### Conclusion:\nSince the number of tickets must be a whole number, an adjustment is needed. There seems to be a miscalculation or misunderstanding in the problem setup. Let's reevaluate the total sales and profit given:\n\n- The formula for total sales with profit \\( P \\) should be:\n \\[\n 10x - 25 = P\n \\]\n\n- Given \\( P = 500 \\):\n \\[\n 10x - 25 = 500\n \\]\n Add 25 to both sides:\n \\[\n 10x = 525\n \\]\n Divide by 10:\n \\[\n x = 52.5\n \\]\n\nThis indicates a potential error in the problem setup or calculations. Assuming the profit is correctly given as $500, the calculation for ticket sales should be:\n\n \\[\n 10x = 525 \\implies x = 52.5 \\text{ (not possible since tickets can't be fractional)}\n \\]\n\n This suggests there might be a mistake in the problem statement or calculations. Please verify the problem details for accuracy.\n\n---\n\nGiven the complexity and the need for clarity, a reevaluation of the initial setup or problem statement is advised.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If the cat is 5 times faster than the turtle, then the turtle's speed is 1/5 of the cat's speed. \n\nThe cat's speed is 15 feet/second, so the turtle's speed is:\n\n1/5 * 15 = 3 feet/second\n\nNow, to find out how far the turtle can crawl in 40 seconds, we multiply its speed by the time:\n\n3 feet/second * 40 seconds = 120 feet\n\nSo, the turtle can crawl $\\boxed{120}$ feet in 40 seconds.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, we start by determining how much money the firefighters need to raise in the remaining time to meet their goal. The goal is to raise $6300, and after the first 3 hours, they have already raised $2100. \n\n1. Calculate the remaining amount to be raised after the first 3 hours:\n \\[\n \\$6300 - \\$2100 = \\$4200\n \\]\n\n2. Since the fundraiser is conducting an equal amount of money in every hour, we need to find out how many hours it will take to raise the remaining $4200. Given that they raised $2100 in 3 hours, we can calculate the hourly fundraising rate:\n \\[\n \\frac{\\$2100}{3 \\text{ hours}} = \\$700 \\text{ per hour}\n \\]\n\n3. Finally, to find out how many hours it will take to reach the goal by raising $4200 at the rate of $700 per hour, we divide the remaining amount by the hourly rate:\n \\[\n \\frac{\\$4200}{\\$700 \\text{ per hour}} = 6 \\text{ hours}\n \\]\n\nTherefore, the firefighters need to fundraise for a total of $3 + 6 = 9$ hours to reach their goal of $6300.\n\n\\[\n\\boxed{9}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote the total water from the Colorado River as $100\\%$.\n\nSince Colorado City uses $40\\%$ of this water, the remaining $60\\%$ is used by other entities.\n\nOut of the $40\\%$ used by Colorado City, $80\\%$ is allocated for industrial purposes. Therefore, the percentage of the total river's water used for industrial purposes by Colorado City is:\n\\[ 0.40 \\times 0.80 = 0.32 \\text{ or } 32\\% \\]\n\nTo find the percentage of the river's total water used by Colorado City for non-industrial purposes, we subtract the industrial usage from the total usage:\n\\[ 40\\% - 32\\% = 8\\% \\]\n\nThus, the city uses $\\boxed{8\\%}$ of the river's total water for non-industrial purposes.The answer is: 8", "answer": {"result": 8.0}}, "matches": true} +{"solution": {"solution": "Alex charges $12 per day for tutoring. \n\nFor 2 weeks, there are 14 days (7 days/week * 2 weeks).\n\nTo find out how much she charges for 2 weeks of tutoring, we multiply the daily rate by the number of days:\n\n$12/day * 14 days = $168\n\nSo, Alex charges $\\boxed{\\$168}$ for 2 weeks of tutoring.The answer is: 168", "answer": {"result": 168.0}}, "matches": true} +{"solution": {"solution": "\n\nTo find the total quarts of ice cream made in 48 hours, we need to calculate the production rate for each flavor and then combine them. \n\nFirst, let's find the production rate for chocolate ice cream:\n- In 2 hours, the factory makes 100 quarts of chocolate ice cream.\n- Therefore, in 1 hour, it makes \\( \\frac{100}{2} = 50 \\) quarts of chocolate ice cream.\n- In 48 hours, it would make \\( 50 \\times 48 = 2400 \\) quarts of chocolate ice cream.\n\nNext, let's find the production rate for vanilla ice cream:\n- In 4 hours, the factory makes 50 quarts of vanilla ice cream.\n- Therefore, in 1 hour, it makes \\( \\frac{50}{4} = 12.5 \\) quarts of vanilla ice cream.\n- In 48 hours, it would make \\( 12.5 \\times 48 = 600 \\) quarts of vanilla ice cream.\n\nFinally, to find the total quarts of ice cream made in 48 hours, we add the quarts of chocolate and vanilla ice cream:\n- Total quarts of ice cream = Quarts of chocolate ice cream + Quarts of vanilla ice cream\n- Total quarts of ice cream = \\( 2400 + 600 = 3000 \\) quarts.\n\nTherefore, the total quarts of ice cream made in 48 hours is \\( 3000 \\).\n\nAnswer: 3000", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "5 croissants at $3.00 each cost 5*$3= $15.00\n4 cinnamon rolls at $2.50 each cost 4*$2.50= $10.00\n3 mini quiches for $4.00 each cost 3*$4= $12.00\n13 blueberry muffins at $1.00 each cost 13*$1= $13.00\nHis total bill comes to 15+10+12+13= $50.00\n10% off of $50.00 is .10*50= $5.00\nHis final bill after the discount is 50-5= $45.00\nThe answer is 45", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Erin can buy 2 scoops of ice cream for $1.50 each, so the total cost for 2 scoops is 2 * $1.50 = $3.00.\n\nSince she gets 1 scoop free with the deal, she can effectively buy 3 scoops for the price of 2.\n\nWith $6.00, Erin can buy 4 sets of 2 scoops (8 scoops) because $6.00 / $3.00 = 2 sets.\n\nHowever, since she gets a free scoop with each set of 2, she would actually be getting 2 additional scoops (1 free per set of 2).\n\nSo, the total number of scoops Erin can buy with $6.00 is 8 (from the sets) + 2 (free scoops) = 10 scoops.\n\nErin should buy $\\boxed{10}$ scoops of ice cream.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Ginger eats 4 pieces of candy a day, so after two weeks (14 days), she eats 4 x 14 = 56 pieces of candy.\nAmy eats 3 pieces of candy a day, so after two weeks, she eats 3 x 14 = 42 pieces of candy.\nGinger starts with 100 pieces of candy and eats 56 pieces, so she has 100 - 56 = 44 pieces left.\nAmy starts with 100 pieces of candy and eats 42 pieces, so she has 100 - 42 = 58 pieces left.\nAmy has 58 - 44 = 14 more pieces of candy than Ginger after two weeks. \n#### 14\nThe answer is: 14", "answer": {"result": 14.0}}, "matches": true} +{"solution": {"solution": "To find out how many mosaic tiles Mr. Boarden needs to cover two-thirds of his 36 sq ft bathroom, we follow these steps:\n\n1. Calculate the total area that needs to be covered, which is two-thirds of the bathroom's area:\n\\[ \\frac{2}{3} \\times 36 = 24 \\, \\text{sq ft} \\]\n\n2. Determine how many tiles are required per square foot, which is 24 tiles:\n\\[ 24 \\, \\text{tiles/sq ft} \\]\n\n3. Multiply the number of tiles needed per square foot by the area to be covered to find the total number of tiles required:\n\\[ 24 \\, \\text{tiles/sq ft} \\times 24 \\, \\text{sq ft} = 576 \\, \\text{tiles} \\]\n\nTherefore, Mr. Boarden would need $\\boxed{576}$ mosaic tiles to cover two-thirds of his 36 sq ft bathroom.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate how much James saved compared to buying blueberries at the store, we follow these steps:\n\n1. First, we determine the cost of the blueberries James picked. He picked 30 pounds, and the cost per pound is $1.5. Therefore, the cost for the blueberries picked is:\n\\[30 \\, \\text{pounds} \\times \\$1.5/\\text{pound} = \\$45\\]\n\n2. Next, we add the initial cost of going picking, which is $20, to the cost of the blueberries to find the total cost. So, the total cost is:\n\\[\\$20 + \\$45 = \\$65\\]\n\n3. To find out how much he would have spent at the store, we multiply the price per pound at the store, $2.5, by the number of pounds he picked, 30:\n\\[30 \\, \\text{pounds} \\times \\$2.5/\\text{pound} = \\$75\\]\n\n4. Finally, to find the savings, we subtract the total cost of picking and buying from the cost of buying at the store:\n\\[\\$75 - \\$65 = \\$10\\]\n\nTherefore, James saved $\\boxed{\\$10}$ by picking his own blueberries.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The original price of each computer was $700.\nHowever, the price increased by 10%, so the new price is $700 + ($700 * 10%) = $700 + $70 = $770.\nThey wanted to buy 500 computers, so the total amount of money they paid is $770 * 500 = $385,000.\n#### 385000\nThe answer is: 385000", "answer": {"result": 385000.0}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total calories from the eggs. Since John uses 6 eggs and each egg is 75 calories, the total calories from eggs are:\n\n6 eggs * 75 calories/egg = 450 calories\n\nNext, let's calculate the total calories from the cheese. John uses 2 ounces of cheese, and each ounce is 120 calories, so the total calories from cheese are:\n\n2 ounces * 120 calories/ounce = 240 calories\n\nNow, let's calculate the total calories from the ham. John uses an equal amount of ham as cheese, which is also 2 ounces, and each ounce is 40 calories, so the total calories from ham are:\n\n2 ounces * 40 calories/ounce = 80 calories\n\nFinally, to find the total calories in the omelet, we add the calories from eggs, cheese, and ham:\n\n450 calories (eggs) + 240 calories (cheese) + 80 calories (ham) = 770 calories\n\nTherefore, the omelet has a total of $\\boxed{770}$ calories.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total cost of the pencils:\n\n6 pencils * $0.50 per pencil = $3.00\n\nNext, let's calculate the total cost of the erasers:\n\n8 erasers * $0.25 per eraser = $2.00\n\nNow, let's add the cost of the pencils and erasers to find the total cost:\n\n$3.00 (pencils) + $2.00 (erasers) = $5.00\n\nYou paid $10, so to find the change, we subtract the total cost from the amount paid:\n\n$10.00 - $5.00 = $5.00\n\nTherefore, you would receive $\\$5.00$ in change.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Identify the fraction of applicants who get interviews:** Given that 30% of the applicants receive interviews, calculate this fraction:\n \\[\n \\frac{30}{100} = 0.3\n \\]\n\n2. **Calculate the number of people who receive interviews:**\n \\[\n 100 \\times 0.3 = 30\n \\]\n\n3. **Identify the fraction of interviewees who receive job offers:** Given that 20% of the interviewees receive job offers, calculate this fraction:\n \\[\n \\frac{20}{100} = 0.2\n \\]\n\n4. **Calculate the number of people who receive job offers:**\n \\[\n 30 \\times 0.2 = 6\n \\]\n\n5. **Identify the fraction of offer recipients who accept the position:** Given that one-third of those who receive job offers accept the position, calculate this fraction:\n \\[\n \\frac{1}{3}\n \\]\n\n6. **Calculate the number of people who accept the job offer:**\n \\[\n 6 \\times \\frac{1}{3} = 2\n \\]\n\n### Conclusion:\nThe number of people who accept the position is \n\\[\n\\boxed{2}.\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Goldy bought 20 sacks of rice, so she initially had 20 * 25 = 500 kilograms of rice.\nShe gave 3 sacks to her cousin, which is 3 * 25 = 75 kilograms of rice.\nShe also gave 4 sacks to her brother, which is 4 * 25 = 100 kilograms of rice.\nTherefore, Goldy gave a total of 75 + 100 = 175 kilograms of rice to her cousin and brother.\n#### 175\nThe answer is: 175", "answer": {"result": 175.0}}, "matches": true} +{"solution": {"solution": "Castle bought 3 boxes of Coco Crunch and 5 boxes of Fruit Loops this week, so she bought a total of 3 + 5 = 8 boxes of cereal this week.\n\nLast week she bought 4 boxes of cereal.\n\nTo find out how many more boxes of cereal she bought this week than last week, we subtract the number of boxes bought last week from the number bought this week: 8 - 4 = 4.\n\nTherefore, Castle bought $\\boxed{4}$ more boxes of cereal this week than last week.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, we'll break it down into parts based on the conditions given:\n\n1. **Clog dancing with arms down**: Helga taps her right foot at a rate of 300 taps per minute and her left foot at a rate of 250 taps per minute. This means in one minute, the total taps for both feet combined are $300 + 250 = 550$ taps. Over 5 minutes, with her arms down, she would tap $5 \\times 550 = 2750$ times.\n\n2. **Clog dancing with arms raised**: When Helga raises her arms, her tap rate slows down to 200 taps per minute for each foot. Therefore, in one minute, the total taps for both feet combined are $200 + 200 = 400$ taps. Over 2 minutes with her arms raised, she would tap $2 \\times 400 = 800$ times.\n\n3. **Combining both scenarios**: To find the total number of taps over the entire 5 minutes, we add the taps from when her arms are down to the taps from when her arms are raised. This gives us $2750 + 800 = 3550$ taps.\n\nTherefore, the combined total number of times Helga taps both of her feet over the course of 5 minutes is $\\boxed{3550}$ times.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nFirst, let's calculate the total cost of the asphalt Ron needs to buy:\n3 buckets * $25/bucket = $75\n\nNext, let's add the cost of the asphalt to the fine Ron would receive from the city council:\n$75 + $120 = $195\n\nNow, let's subtract the total cost of fixing the pothole from the damage the pothole would do to Ron's car:\n$450 - $195 = $255\n\nRon saves $\\boxed{\\$255}$ by fixing the pothole himself. \n\nAnswer:\nRon saves $255 by fixing the pothole himself.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The restaurant originally had 170 normal chairs and 23 baby chairs, for a total of 170 + 23 = 193 chairs.\nAfter sending 20 normal chairs and 13 baby chairs to the carpenter for repair, the restaurant has 193 - 20 - 13 = 160 chairs left.\n#### 160\nThe answer is: 160", "answer": {"result": 160.0}}, "matches": true} +{"solution": {"solution": "Bryce and two friends ate 2/3 of their pizzas, which means they ate 2/3 x 12 = 8 slices each.\nSo, Bryce and two friends ate a total of 8 x 3 = 24 slices.\nThe two remaining friends ate \u00be of their pizzas, which means they ate 3/4 x 12 = 9 slices each.\nSo, the two remaining friends ate a total of 9 x 2 = 18 slices.\nIn total, Bryce and his friends ate 24 + 18 = 42 slices of pizza.\nSince each pizza had 12 slices, there were 12 x 5 = 60 slices of pizza in total.\nTherefore, there are 60 - 42 = 18 slices of pizza left.\n#### 18\nThe answer is: 18", "answer": {"result": 18.0}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the time taken by the dog to eat 9 sausages**:\n\n Given that the cat eats 9 sausages in 30 minutes, the time taken by the dog to eat the same number of sausages can be calculated using the information that the dog takes \\( \\frac{2}{3} \\) of the time the cat takes.\n\n \\[\n \\text{Time taken by dog} = \\frac{2}{3} \\times 30 \\text{ minutes}\n \\]\n\n Simplify the multiplication:\n\n \\[\n \\frac{2}{3} \\times 30 = 2 \\times 10 = 20 \\text{ minutes}\n \\]\n\n2. **Calculate the average time taken by both animals to eat the sausages**:\n\n The average time \\( T \\) taken by both animals to eat the sausages can be found using the formula for the average of two values:\n\n \\[\n T = \\frac{\\text{Time taken by cat} + \\text{Time taken by dog}}{2}\n \\]\n\n Substitute the known values:\n\n \\[\n T = \\frac{30 \\text{ minutes} + 20 \\text{ minutes}}{2}\n \\]\n\n Perform the addition inside the numerator:\n\n \\[\n T = \\frac{50 \\text{ minutes}}{2}\n \\]\n\n Simplify the division:\n\n \\[\n T = 25 \\text{ minutes}\n \\]\n\n### Conclusion:\n\n\\[\n\\boxed{25 \\text{ minutes}}\n\\]\n\nThus, the average time taken by the cat and the dog to eat the 9 sausages is 25 minutes.\n\n---\n\n#### Problem 2:\n\n1. **Find the number of ways to choose 3 balls from 15**:\n\n The number of ways to choose 3 balls from 15 is given by the combination formula \\( C(n, k) = \\frac{n!}{k!(n-k)!} \\), where \\( n = 15 \\) and \\( k = 3 \\):\n\n \\[\n C(15, 3) = \\frac{15!}{3!(15-3)!} = \\frac{15!}{3!12!}\n \\]\n\n2. **Simplify the factorials**:\n\n First, calculate \\( 15! \\):\n\n \\[\n 15! = 15 \\times 14 \\times 13 \\times 12!\n \\]\n\n Next, calculate \\( 3! \\):\n\n \\[\n 3! = 3 \\times 2 \\times 1 = 6\n \\]\n\n3. **Substitute back into the combination formula**:\n\n \\[\n C(15, 3) = \\frac{15 \\times 14 \\times 13 \\times 12!}{3! \\times 12!}\n \\]\n\n Since \\( 12! \\) is in both the numerator and the denominator, they cancel out:\n\n \\[\n C(15, 3) = \\frac{15 \\times 14 \\times 13}{6}\n \\]\n\n4. **Perform the multiplication and division**:\n\n Compute the numerator:\n\n \\[\n 15 \\times 14 \\times 13 = 2730\n \\]\n\n Then divide by 6:\n\n \\[\n C(15, 3) = \\frac{2730}{6} = 455\n \\]\n\n### Conclusion:\n\n\\[\n\\boxed{455}\n\\]\n\nThus, there are 455 different ways to choose 3 balls from 15.\n\n---\n\n#### Problem 3:\n\n1. **Find the number of ways to choose 3 balls from 15 and arrange them**:\n\n The number of ways to choose 3 balls from 15, as calculated in Problem 2, is 455.\n\n The number of ways to arrange 3 balls is given by \\( 3! \\):\n\n \\[\n 3! = 3 \\times 2 \\times 1 = 6\n \\]\n\n2. **Calculate the total number of permutations**:\n\n Multiply the number of ways to choose by the number of ways to arrange:\n\n \\[\n \\text{Total permutations} = 455 \\times 6\n \\]\n\n3. **Perform the multiplication**:\n\n \\[\n 455 \\times 6 = 2730\n \\]\n\n### Conclusion:\n\n\\[\n\\boxed{2730}\n\\]\n\nThus, the total number of different permutations of 3 balls out of 15 is 2730.\n\n---\n\n#### Problem 4:\n\n1. **Calculate the probability that the first ball is red**:\n\n There are 11 red balls and 4 blue balls, making a total of 15 balls.\n\n The probability \\( P \\) that the first ball drawn is red is:\n\n \\[\n P(\\text{Red on first draw}) = \\frac{\\text{Number of red balls}}{\\text{Total number of balls}} = \\frac{11}{15}\n \\]\n\n2. **Calculate the probability that the second ball is blue given the first is red**:\n\n After drawing one red ball, there are 10 red balls and 4 blue balls left, making a total of 14 balls.\n\n The probability \\( P(\\text{Blue on second draw | Red on first draw}) \\) is:\n\n \\[\n P(\\text{Blue on second draw} | \\text{Red on first draw}) = \\frac{\\text{Number of blue balls}}{\\text{Total balls remaining}} = \\frac{4}{14} = \\frac{2}{7}\n \\]\n\n3. **Calculate the probability of both events happening**:\n\n The probability of both events (first ball red and second ball blue) happening is the product of their individual probabilities:\n\n \\[\n P(\\text{Red on first draw and Blue on second draw}) = P(\\text{Red on first draw}) \\times P(\\text{Blue on second draw} | \\text{Red on first draw})\n \\]\n\n Substitute the values:\n\n \\[\n P(\\text{Red on first draw and Blue on second draw}) = \\frac{11}{15} \\times \\frac{2}{7}\n \\]\n\n Perform the multiplication:\n\n \\[\n P(\\text{Red on first draw and Blue on second draw}) = \\frac{11 \\times 2}{15 \\times 7} = \\frac{22}{105}\n \\]\n\n### Conclusion:\n\n\\[\n\\boxed{\\frac{22}{105}}\n\\]\n\nThus, the probability that the first ball drawn is red and the second ball drawn is blue is \\( \\frac{22}{105} \\).\n\n---\n\n#### Problem 5:\n\n1. **Calculate the number of ways to choose 4 balls from 12**:\n\n The number of ways to choose 4 balls from 12 is given by the combination formula \\( C(n, k) = \\frac{n!}{k!(n-k)!} \\), where \\( n = 12 \\) and \\( k = 4 \\):\n\n \\[\n C(12, 4) = \\frac{12!}{4!(12-4)!} = \\frac{12!}{4!8!}\n \\]\n\n2. **Simplify the factorials**:\n\n First, calculate \\( 12! \\):\n\n \\[\n 12! = 12 \\times 11 \\times 10 \\times 9 \\times 8!\n \\]\n\n Next, calculate \\( 4! \\):\n\n \\[\n 4! = 4 \\times 3 \\times 2 \\times 1 = 24\n \\]\n\n3. **Substitute back into the combination formula**:\n\n \\[\n C(12, 4) = \\frac{12 \\times 11 \\times 10 \\times 9 \\times 8!}{4! \\times 8!}\n \\]\n\n Since \\( 8! \\) is in both the numerator and the denominator, they cancel out:\n\n \\[\n C(12, 4) = \\frac{12 \\times 11 \\times 10 \\times 9}{4!}\n \\]\n\n4. **Perform the multiplication and division**:\n\n Compute the numerator:\n\n \\[\n 12 \\times 11 \\times 10 \\times 9 = 11880\n \\]\n\n Then divide by 24:\n\n \\[\n C(12, 4) = \\frac{11880}{24} = 495\n \\]\n\n### Conclusion:\n\n\\[\n\\boxed{495}\n\\]\n\nThus, there are 495 different ways to choose 4 balls from 12.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's convert the length of Topher's shoe from feet and inches to inches only. \n\n8 feet is equal to 8 * 12 = 96 inches.\n\nAdding the 4 inches to this gives us 96 + 4 = 100 inches.\n\nAccording to the problem, Topher's shoe length is 10 inches longer than 9 times the length of Bobby's shoe. \n\nSo, we can write the equation: \n100 = 9 * Bobby's shoe length + 10\n\nTo find Bobby's shoe length, we subtract 10 from both sides of the equation:\n100 - 10 = 9 * Bobby's shoe length\n90 = 9 * Bobby's shoe length\n\nNow, we divide both sides by 9 to solve for Bobby's shoe length:\n90 / 9 = Bobby's shoe length\n10 = Bobby's shoe length\n\nSo, one of Bobby's shoes is $\\boxed{10}$ inches long.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nIf there are 64 students' cars with four windows each, the total number of student car windows is 64 * 4 = 256 windows.\n\nIf 1/4 of the student's car windows are smashed, then the number of student car windows smashed is 256 * 1/4 = 64 windows.\n\nIf there are 32 teachers' cars with two windows each, the total number of teacher car windows is 32 * 2 = 64 windows.\n\nIf 3/4 of the teacher's car windows are smashed, then the number of teacher car windows smashed is 64 * 3/4 = 48 windows.\n\nTherefore, the total number of windows Hannah smashes is 64 (student car windows) + 48 (teacher car windows) = 112 windows.\n\nThe answer is: 112", "answer": {"result": 112.0}}, "matches": true} +{"solution": {"solution": "To find the percentage of Candy's spools that are blue, we first need to calculate the total number of blue spools. This includes both light blue and dark blue spools.\n\n- Number of light blue spools: 15\n- Number of dark blue spools: 45\n\nTotal blue spools = 15 + 45 = 60\n\nNext, we calculate the total number of spools Candy has by adding all the spools together:\n\nTotal spools = 15 (light blue) + 45 (dark blue) + 40 (light green) + 50 (dark green) = 150\n\nNow, we find the percentage of blue spools out of the total number of spools:\n\nPercentage of blue spools = (Total blue spools / Total spools) * 100%\n\nPercentage of blue spools = (60 / 150) * 100%\n\nPercentage of blue spools = 0.4 * 100%\n\nPercentage of blue spools = 40%\n\nTherefore, the percentage of Candy's spools that are blue is $40\\%$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Determine the number of people who voted by midday (12:00 PM):**\n\n - The total number of people initially lined up to vote is 5000.\n - By midday, \\( \\frac{2}{5} \\) of these people have voted.\n - Calculate the number of people who voted by midday:\n \\[\n \\frac{2}{5} \\times 5000 = 2000\n \\]\n\n2. **Determine the remaining number of people who had not voted by midday:**\n\n - Subtract the number of people who voted from the total initial number:\n \\[\n 5000 - 2000 = 3000\n \\]\n - Therefore, there were 3000 people still waiting to vote by midday.\n\n3. **Determine the number of people who voted between midday and 4:00 PM:**\n\n - By 4:00 PM, \\( \\frac{2}{3} \\) of the remaining 3000 people had voted.\n - Calculate the number of people who voted between midday and 4:00 PM:\n \\[\n \\frac{2}{3} \\times 3000 = 2000\n \\]\n\n4. **Determine the number of people who had not voted by 4:00 PM:**\n\n - Subtract the number of people who voted between midday and 4:00 PM from the remaining people:\n \\[\n 3000 - 2000 = 1000\n \\]\n - Therefore, there were 1000 people still waiting to vote by 4:00 PM.\n\n5. **Determine the total number of people who had not voted by 4:00 PM:**\n\n - Include the people who had not voted by midday:\n \\[\n 1000 + 2000 = 3000\n \\]\n\n6. **Conclusion:**\n\n - The number of people who had not voted by 4:00 PM is:\n \\[\n \\boxed{3000}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, we first need to determine how many pieces of gum Parker chews in 30 days. Since he chews 4 pieces a day, the total number of pieces he consumes over 30 days is calculated as follows:\n\n\\[4 \\, \\text{pieces/day} \\times 30 \\, \\text{days} = 120 \\, \\text{pieces}\\]\n\nNext, we need to find out how many packs of gum this equates to, given that each pack contains 15 pieces. The number of packs required is found by dividing the total number of pieces by the number of pieces per pack:\n\n\\[120 \\, \\text{pieces} \\div 15 \\, \\text{pieces/pack} = 8 \\, \\text{packs}\\]\n\nTherefore, Parker will need $\\boxed{8}$ packs of gum to last him 30 days.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total number of smores needed for the kids:\n\n9 kids * 2 smores per kid = 18 smores\n\nNow, let's calculate the total number of smores needed for the adults:\n\n6 adults * 1 smore per adult = 6 smores\n\nAdding the smores needed for kids and adults together:\n\n18 smores (kids) + 6 smores (adults) = 24 smores\n\nEach sleeve of graham crackers makes 8 large smores, so we'll divide the total number of smores by the number of smores per sleeve to find out how many sleeves are needed:\n\n24 smores / 8 smores per sleeve = 3 sleeves\n\nSince there are 3 sleeves in a box, and we need 3 sleeves, we will need:\n\n3 sleeves / 3 sleeves per box = 1 box\n\nTherefore, they will need $\\boxed{1}$ box of graham crackers.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's find out Dora's father's age. According to the information given, Dora's father's age is eight more than twice Dora's age. So,\n\nFather's age = 2 * Dora's age + 8\n\nGiven that Dora is 15 years old,\n\nFather's age = 2 * 15 + 8 = 30 + 8 = 38 years\n\nNext, let's find out Dora's mother's age. We know that Dora's mother is four years younger than Dora's father. So,\n\nMother's age = Father's age - 4\n\nSubstituting the father's age we found,\n\nMother's age = 38 - 4 = 34 years\n\nNow, to find the total combined age of Dora, her father, and her mother, we simply add their ages together:\n\nTotal age = Dora's age + Father's age + Mother's age\n\nTotal age = 15 + 38 + 34 = 87 years\n\nSo, the total combined age of Dora, her father, and her mother is 87 years.\n\nAnswer: \\boxed{87}", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Greg found $20, and he wants to split it equally among his 3 younger siblings. To find out how much money each sibling gets, we divide the total amount by the number of siblings:\n\n$20 \u00f7 3 = $6.67\n\nHowever, since we're dealing with money, we can't split a dollar into fractions. We'll need to round to the nearest whole number. In this case, since $6.67 is closer to $7 than $6, each sibling would get $\\boxed{\\$7}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nCindy's math and science books weigh 2 pounds each, so the total weight of these books is 2 + 2 = 4 pounds.\nHer French book weighs 4 pounds and her English book weighs 3 pounds, so the total weight of these two books is 4 + 3 = 7 pounds.\nHer history book weighs twice as much as her English book, so it weighs 2 * 3 = 6 pounds.\nTherefore, the total weight of all the books Cindy is carrying is 4 + 7 + 6 = 17 pounds.\n#### 17\nThe answer is: 17", "answer": {"result": 17.0}}, "matches": true} +{"solution": {"solution": "Candidate A got 20% of the votes, which is 20/100 * 100 = 20 votes.\n\nCandidate B got 50% more than candidate A's votes, which is 50/100 * 20 = 10 votes more than candidate A.\n\nSo, candidate B got 20 + 10 = 30 votes.\n\nThe rest of the votes went to candidate C, which is 100 - 20 - 30 = 50 votes.\n\nTherefore, candidate C got 50 votes.\n\n#### 50\nThe answer is: 50", "answer": {"result": 50.0}}, "matches": true} +{"solution": {"solution": "Beck has 23 fewer apples than Boris, so Beck originally has 100 - 23 = 77 apples. \nIf Boris gives Beck 10 apples, Boris now has 100 - 10 = 90 apples. \nBeck now has 77 + 10 = 87 apples. \nBeck has 90 - 87 = 3 fewer apples than Boris now. \n#### 3\nThe answer is: 3", "answer": {"result": 3.0}}, "matches": true} +{"solution": {"solution": "To solve this problem, we'll calculate the total amount of water used for each type of ice cube and then subtract this from the initial amount of water Peter has, which is 32 ounces.\n\n1. **Calculating water used for giant cubes:**\n - Each giant cube uses 4 ounces of water.\n - Peter makes 3 giant cubes.\n - Therefore, the total water used for giant cubes is $4 \\, \\text{ounces/cube} \\times 3 \\, \\text{cubes} = 12 \\, \\text{ounces}$.\n\n2. **Calculating water used for medium cubes:**\n - Each medium cube uses 2 ounces of water.\n - Peter makes 7 medium cubes.\n - Therefore, the total water used for medium cubes is $2 \\, \\text{ounces/cube} \\times 7 \\, \\text{cubes} = 14 \\, \\text{ounces}$.\n\n3. **Calculating water used for small cubes:**\n - Each small cube uses 1/2 an ounce of water.\n - Peter makes 8 small cubes.\n - Therefore, the total water used for small cubes is $\\frac{1}{2} \\, \\text{ounce/cube} \\times 8 \\, \\text{cubes} = 4 \\, \\text{ounces}$.\n\n4. **Calculating total water used:**\n - The total water used for all cubes is the sum of the water used for each type of cube.\n - Total water used = water for giant cubes + water for medium cubes + water for small cubes.\n - Total water used = $12 \\, \\text{ounces} + 14 \\, \\text{ounces} + 4 \\, \\text{ounces} = 30 \\, \\text{ounces}$.\n\n5. **Calculating remaining water:**\n - Peter starts with 32 ounces of water.\n - The amount of water left after making the cubes is $32 \\, \\text{ounces} - 30 \\, \\text{ounces} = 2 \\, \\text{ounces}$.\n\nTherefore, Peter has $\\boxed{2}$ ounces of water left after making the giant, medium, and small ice cubes.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Clara has 20 books and she has two times as many books as Steven, then Steven has 20/2 = 10 books. \n\nAlice has 6 more books than Steven, so Alice has 10+6 = 16 books.\n\nTo find out how many more books Clara has than Alice, we subtract Alice's number of books from Clara's number of books: 20 - 16 = 4.\n\nClara has $\\boxed{4}$ more books than Alice.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If a gallon jar costs $5, and a gallon jar costs $2 more than a half-gallon jar, then a half-gallon jar costs $5 - $2 = $3. \n\nCecelia bought 10 gallon jars, so the total cost for the gallon jars is 10 * $5 = $50.\n\nShe also bought 16 half-gallon jars, so the total cost for the half-gallon jars is 16 * $3 = $48.\n\nTherefore, the total amount of money Cecelia spent on both types of jars is $50 + $48 = $98.\n\n#### 98\nThe answer is: 98", "answer": {"result": 98.0}}, "matches": true} +{"solution": {"solution": "\nLet's denote the number of students who like to play video games as V and the number of students who like to play music as M.\n\nAccording to the problem, there are 50 students in total. We know that 10 like to bake, 5 like to play basketball, and the rest like to play video games or music.\n\nSo, the number of students who prefer playing video games or music is: 50 - 10 - 5 = 35.\n\nWe are also told that the number of students who like to play music is twice the number that prefer playing basketball. Therefore, M = 2 * 5 = 10.\n\nNow, we can find the number of students who like to play video games by subtracting the number of students who like to play music from the total number of students who prefer playing video games or music:\n\nV = 35 - M\nV = 35 - 10\nV = 25\n\nSo, $\\boxed{25}$ students like to play video games.\n\nAnswer:\n25", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Jeremy saw 12 birds initially. After scaring away 1/3 of them, the number of birds that remained is:\n\n12 - (1/3 * 12) = 12 - 4 = 8 birds\n\nThen, 20 more birds joined the remaining birds, making the total number of birds in the backyard:\n\n8 + 20 = 28 birds\n\nSo, there are now $\\boxed{28}$ birds in the backyard.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Determine the total number of girls in the school:**\n\n Given that there are 80 students in total and each class has the same number of students, we can divide the total number of students by 2 to find the number of students in each class.\n\n \\[\n \\text{Number of students per class} = \\frac{80}{2} = 40\n \\]\n\n Since 40% of the students in each class are girls, we can calculate the number of girls in each class by taking 40% of 40 students.\n\n \\[\n \\text{Number of girls per class} = 40 \\times 0.40 = 16\n \\]\n\n2. **Determine the number of boys in each class:**\n\n We know the total number of students in each class is 40, and we have already found that there are 16 girls. To find the number of boys, we subtract the number of girls from the total number of students in each class.\n\n \\[\n \\text{Number of boys per class} = 40 - 16 = 24\n \\]\n\n3. **Conclusion:**\n\n Each class has 24 boys.\n\n \\[\n \\boxed{24}\n \\]\n\nSo, the number of boys in each class is 24.\n\nAlternatively, we can verify the solution by considering the entire school's composition.\n\n4. **Verification using the entire school:**\n\n Given that 40% of the students are girls, the number of girls in the school is:\n\n \\[\n \\text{Total girls} = 80 \\times 0.40 = 32\n \\]\n\n Since there are 2 classes with an equal division of 40 students per class and the same number of girls in each class, we have:\n\n \\[\n \\text{Girls per class} = \\frac{32}{2} = 16\n \\]\n\n As established previously, the number of boys in each class is:\n\n \\[\n \\text{Boys per class} = 40 - 16 = 24\n \\]\n\nThus, the number of boys in each class is 24, confirming our initial calculation.\n\n\\[\n\\boxed{24}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, let's break down Mara's actions step by step:\n\n1. **Adding Slices to the Plate:** Mara starts with 2 slices of cake on her plate. She adds 3 more slices to it. The total number of slices after adding is calculated as:\n \\[\n 2 + 3 = 5 \\text{ slices}\n \\]\n\n2. **Tripling the Number of Slices:** Mara decides to triple the number of slices she has. Before eating any, she has 5 slices. Tripling this number gives us:\n \\[\n 5 \\times 3 = 15 \\text{ slices}\n \\]\n\n3. **Eating and Stealing Slices:** Mara eats 2 slices from her plate, leaving her with:\n \\[\n 15 - 2 = 13 \\text{ slices}\n \\]\n Then, while she's distracted, her friend steals 5 slices. Subtracting the stolen slices from the remaining gives us:\n \\[\n 13 - 5 = 8 \\text{ slices}\n \\]\n\nTherefore, the number of cake slices that remained on the plate is $\\boxed{8}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Melissa has a total of 8 + 5 + 3 + 12 = 28 animals that need to be groomed. \n\nIf she splits the grooming jobs evenly over the days of the week, she will groom 28 / 7 = 4 animals each day. \n\nSo, Melissa will groom 4 animals each day of the week. \n\n#### 4\nThe answer is: 4", "answer": {"result": 4.0}}, "matches": true} +{"solution": {"solution": "First, let's calculate the cost of the three packs of old magic cards:\n\n3 packs * $1800 per pack = $5400\n\nNext, let's calculate the total value of the two valuable cards:\n\n$4000 card + $1000 card = $5000\n\nNow, let's calculate the total value of the 30 other cards, each worth $50:\n\n30 cards * $50 per card = $1500\n\nNow, let's add up all the cards' values to find the total value of the cards Mark has:\n\n$5000 (from valuable cards) + $1500 (from other cards) = $6500\n\nTo find the profit, we subtract the total cost from the total value:\n\nTotal value of cards - Cost of packs = Profit\n$6500 - $5400 = $1100\n\nMark made a profit of $\\boxed{\\$1100}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "At the first amusement park, the cost for 2 adults would be $26 x 2 = $<<26*2=52>>52.\nThe cost for 2 children would be $12 x 2 = $<<12*2=24>>24.\nSo the total cost for the first amusement park would be $52 + $24 = $<<52+24=76>>76.\n\nAt the second amusement park, the cost for 2 adults would be $14 x 2 = $<<14*2=28>>28.\nThe cost for 2 children would be $10 x 2 = $<<10*2=20>>20.\nSo the total cost for the second amusement park would be $28 + $20 = $<<28+20=48>>48.\n\nBy choosing the second amusement park, they would be able to save $76 - $48 = $<<76-48=28>>28.\n\n#### 28\nThe answer is: 28", "answer": {"result": 28.0}}, "matches": true} +{"solution": {"solution": "The vendor used to spend 500 * $.5 = $250 for tomatoes every day.\n\nWith the new vendor, he now spends 500 * $.4 = $200 every day.\n\nSo, he saves $250 - $200 = $50 every day.\n\nThere are 7 days in a week, so his weekly savings are $50 * 7 = $350.\n\nTherefore, the vendor saves $350 a week by switching to the new vendor.\n\nThe final answer is $\\$350$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Sean has 56 marbles, and Carl has four times as many marbles as Sean, then Carl has 4 * 56 = 224 marbles.\n\nCal has twice as many marbles as Sean, so Cal has 2 * 56 = 112 marbles.\n\nThe total number of marbles Carl and Cal have combined is 224 (Carl's marbles) + 112 (Cal's marbles) = $\\boxed{336}$ marbles.The answer is: 336", "answer": {"result": 336.0}}, "matches": true} +{"solution": {"solution": "First, we need to determine how many students would be in each group if there were 12 groups. \nSince there are 54 students, dividing the total number of students by the number of groups gives:\n\\[ \\frac{54}{12} = 4.5 \\]\n\nHowever, we cannot have half a group. We need to round up to the nearest whole number to form complete groups. Thus, each group would have 5 students, and we can form 12 groups of 5 students each, leaving 0 students unassigned.\n\nNext, we need to find out how many groups are needed in addition to these 12 groups. We already have 12 groups, so the number of additional groups needed is:\n\\[ 12 - 12 = 0 \\]\n\nThus, no more groups are needed; the 12 groups formed are sufficient to accommodate all 54 students with each group having 5 students.\n\n\\[ \\boxed{0} \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "In a 4-week month, there are 4 weeks x 7 days = 28 days. \nDuring the weekdays (5 days), 60 chairs are rented each day, so 60 x 5 = 300 chairs are rented each week. \nIn two 4-week months, there are 2 x 300 = 600 chairs rented during the weekdays. \nDuring the weekends (2 days), 100 chairs are rented each day, so 100 x 2 = 200 chairs are rented each week. \nIn two 4-week months, there are 2 x 200 = 400 chairs rented during the weekends. \nTherefore, the total number of chairs rented in two 4-week months is 600 + 400 = 1000 chairs. \n\n#### 1000\nThe answer is: 1000", "answer": {"result": 1000.0}}, "matches": false} +{"solution": {"solution": "\nFirst, we need to calculate how many bananas Arnold stole on the first day. Arnold stole half of the initial 48 bananas, so he stole:\n\n48 / 2 = 24 bananas\n\nAfter Arnold stole the bananas, Gunther had:\n\n48 - 24 = 24 bananas left\n\nThe next day, Gunther added 25 bananas to his pile, so he had:\n\n24 + 25 = 49 bananas\n\nThen, Arnold stole another 12 bananas, leaving Gunther with:\n\n49 - 12 = 37 bananas\n\nOn the third day, Gunther added 6 more bananas to his pile, so he had:\n\n37 + 6 = 43 bananas\n\nTherefore, Gunther found 43 bananas in the pile.\n\nAnswer: 43", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nEach month, the total electricity bill is $100.\nThere are 4 roommates, so they will divide the bill equally among themselves.\nEach roommate will pay $100 / 4 = $25 per month for electricity.\nTo find out how much each roommate will pay per year, we need to multiply the monthly payment by 12 (months in a year).\nSo each roommate will pay $25 x 12 = $300 per year for electricity.\n#### 300\nThe answer is: 300", "answer": {"result": 300.0}}, "matches": false} +{"solution": {"solution": "8 dozen glasses means 8 x 12 = 96 glasses. \n4 dozen plates means 4 x 12 = 48 plates. \n\nAfter the event, Jeff has 96 - 10 = 86 glasses remaining. \nHe also has 48 - 6 = 42 plates remaining. \n\nIn total, Jeff has 86 glasses + 42 plates = 128 items remaining. \n\n#### 128\nThe answer is: 128", "answer": {"result": 128.0}}, "matches": true} +{"solution": {"solution": "1. **Calculate the number of small stickers traded for large buttons:**\n\n Lorraine starts with 30 small stickers. She trades 90% of them for large buttons.\n\n \\[\n \\text{Number of small stickers traded} = 90\\% \\times 30 = 0.9 \\times 30 = 27\n \\]\n\n So, Lorraine trades 27 small stickers for large buttons.\n\n2. **Determine the remaining small stickers:**\n\n After trading 27 small stickers, the remaining small stickers are:\n\n \\[\n \\text{Remaining small stickers} = 30 - 27 = 3\n \\]\n\n3. **Calculate the number of large stickers traded for large buttons:**\n\n Lorraine starts with 40 large stickers. She trades 50% of these for large buttons.\n\n \\[\n \\text{Number of large stickers traded} = 50\\% \\times 40 = 0.5 \\times 40 = 20\n \\]\n\n So, Lorraine trades 20 large stickers for large buttons.\n\n4. **Determine the remaining large stickers:**\n\n After trading 20 large stickers, the remaining large stickers are:\n\n \\[\n \\text{Remaining large stickers} = 40 - 20 = 20\n \\]\n\n5. **Trade the remaining large stickers for small buttons:**\n\n The remaining 20 large stickers are each worth 3 small stickers. Therefore, the total number of small stickers obtained from these large stickers is:\n\n \\[\n \\text{Small stickers from remaining large stickers} = 20 \\times 3 = 60\n \\]\n\n6. **Calculate the total number of small buttons:**\n\n Lorraine now has:\n\n - 3 remaining small stickers (from the initial 30)\n - 60 small stickers obtained from trading large stickers\n\n Thus, the total number of small buttons is:\n\n \\[\n \\text{Total small buttons} = 3 + 60 = 63\n \\]\n\n7. **Calculate the number of large buttons obtained from trading small stickers:**\n\n 27 small stickers were traded for large buttons. Since each large button is equivalent to 3 small buttons, the number of large buttons obtained is:\n\n \\[\n \\text{Large buttons from small stickers} = \\frac{27}{3} = 9\n \\]\n\n8. **Calculate the total number of buttons:**\n\n Adding the small buttons and large buttons together:\n\n \\[\n \\text{Total buttons} = 63 \\text{ (small buttons)} + 9 \\text{ (large buttons)} = 72\n \\]\n\n### Conclusion: \n\\[\n\\boxed{72}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Joey played 2 matches on Monday. \nHe played 1 match on Friday. \nOn Saturday, he played double the number of matches he played on Monday, so he played 2 * 2 = 4 matches. \n\nIn total, Joey played 2 + 1 + 4 = 7 matches in one week. \n\n#### 7\nThe answer is: 7", "answer": {"result": 7.0}}, "matches": true} +{"solution": {"solution": "Let's denote the number of votes in favor of the new regulation as F and the number of votes against it as A. \n\nAccording to the problem, the total number of council members is 33. Therefore, the total number of votes cast, whether for or against, is also 33. \n\nThe problem states that there were twice as many votes in favor as against, so we can write this as:\nF = 2A\n\nThe total number of votes cast is the sum of the votes for and against, which is:\nF + A = 33\n\nNow we can substitute the first equation into the second:\n2A + A = 33\n\nCombining like terms, we get:\n3A = 33\n\nTo find A, we divide both sides by 3:\nA = 33 / 3\nA = 11\n\nNow that we know there were 11 votes against the new regulation, we can find the number of votes in favor by using the first equation:\nF = 2A\nF = 2 * 11\nF = 22\n\nSo, there were $22$ votes in favor of the new regulation.\n\nTo verify, we can check that the total number of votes is indeed 33:\nF + A = 22 + 11 = 33\n\nThis confirms that our calculation is correct.\n\nThe final answer is $\\boxed{22}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To determine the total number of shirts Krissa needs to order, we'll calculate the number of shirts for each size group step by step, as described in the problem.\n\n1. **Size Extra-Small**: \n - Krissa needs 11 shirts for extra-small students.\n\n2. **Size Small**: \n - Twice as many students need size small as extra small. Therefore, the number of students needing size small is calculated as:\n \\[\n 2 \\times 11 = 22\n \\]\n - Thus, Krissa needs 22 shirts for size small.\n\n3. **Size Medium**: \n - Four less than the number of size small students need size medium. So, the number of students needing size medium is:\n \\[\n 22 - 4 = 18\n \\]\n - Therefore, Krissa needs 18 shirts for size medium.\n\n4. **Size Large**: \n - Half as many students need size large as size medium. Hence, the number of students needing size large is:\n \\[\n \\frac{18}{2} = 9\n \\]\n - This means Krissa needs 9 shirts for size large.\n\n5. **Size Extra-Large**: \n - Six more students need size extra-large than large. So, the number of students needing size extra-large is:\n \\[\n 9 + 6 = 15\n \\]\n - Therefore, Krissa needs 15 shirts for size extra-large.\n\n6. **Total Number of Shirts**: \n - To find the total number of shirts Krissa needs to order, we add the shirts for each size group:\n \\[\n 11 + 22 + 18 + 9 + 15 = 75\n \\]\n\nTherefore, the total number of shirts Krissa ordered is $\\boxed{75}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the discount amount, we multiply the original price by the discount percentage: $140 \\times 0.05 = \\$7$. \nThen, subtract the discount from the original price to find the final price: $140 - 7 = \\$133$. \nSo, you will pay $\\$133$ after the discount. \nAnswer: \\frac{133}{1}", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nFirst, let's find the total number of songs in all 20 playlists. Since each playlist has 300 songs, we multiply 300 by 20:\n\n300 songs/playlist \u00d7 20 playlists = 6000 songs\n\nNext, we need to find the total duration of all these songs. Since each song is 10 hours long, we multiply the number of songs by the duration of each song:\n\n6000 songs \u00d7 10 hours/song = 60,000 hours\n\nTherefore, the 20 playlists will last a total of $60,000$ hours.\n\nAnswer: 60,000", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "20% of 50 people is 0.20 * 50 = 10 people who think horse #2 will win.\n\nThe remaining people are 50 - 10 = 40 people.\n\n60% of these 40 people think horse #7 will win, which is 0.60 * 40 = 24 people.\n\nThe rest of the people think horse #12 will win, so that would be 40 - 24 = 16 people.\n\nTherefore, $\\boxed{16}$ people think that horse #12 will win.The answer is: 16", "answer": {"result": 16.0}}, "matches": true} +{"solution": {"solution": "Let's denote the total number of puppies as P. According to the problem, two-thirds of Jana's puppies are Pomeranians. Therefore, the number of Pomeranian puppies is (2/3)P.\n\nWe are also told that one-third of the Pomeranians are girls, and there are 6 Pomeranian girls. This means that the number of Pomeranian girls represents one-third of the total number of Pomeranian puppies:\n\n(1/3) * (2/3)P = 6\n\nTo find the total number of Pomeranian puppies (2/3)P, we can solve the equation:\n\n(2/3)P = 6 * 3\n(2/3)P = 18\n\nNow, to find the total number of puppies (P), we multiply both sides of the equation by (3/2):\n\nP = 18 * (3/2)\nP = 27\n\nSo, Jana has a total of 27 puppies.\n\nTo verify, we can check the number of Pomeranian puppies:\n\n(2/3) * 27 = 18\n\nThis confirms that there are 18 Pomeranian puppies, and one-third of them are girls, which is consistent with the given information (6 girls).\n\nFinal answer: Jana has 27 puppies.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Jayden's sister Ava gave him half of her $90 allowance, so she gave him $90 / 2 = $45.\n\nAdding the $45 to Jayden's $70, he now has $70 + $45 = $115.\n\nThe camera costs $200, so Jayden needs $200 - $115 = $\\boxed{\\$85}$ more to buy the camera.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote the number of cases of shingles needed for the first house as F, the second house as S, and the third house as T.\n\nAccording to the problem, we have the following relationships:\n\n1. The total number of cases of shingles needed for all three houses is 250:\n F + S + T = 250\n\n2. The first house needs 1/2 of the second house:\n F = 1/2 * S\n\n3. The third house needs double the first house:\n T = 2 * F\n\nNow, let's substitute the expressions for F and T in terms of S into the total equation:\n\n1/2 * S + S + 2 * (1/2 * S) = 250\n\nCombine like terms:\n\n1/2 * S + S + S = 250\n(1/2 + 1 + 2/2) * S = 250\n(3/2) * S = 250\n\nNow, solve for S:\n\nS = 250 / (3/2)\nS = 250 * (2/3)\nS = 500 / 3\nS = 166.67\n\nSince we can't have a fraction of a case of shingles, we'll round up to the nearest whole number, which is 167 cases for the second house.\n\nNow, let's find T using the relationship T = 2 * F:\n\nF = 1/2 * S\nF = 1/2 * 167\nF = 83.5\n\nAgain, we'll round up to the nearest whole number, which is 84 cases for the first house.\n\nNow, we can find T:\n\nT = 2 * F\nT = 2 * 84\nT = 168\n\nSo, the third house will need $\\boxed{168}$ cases of shingles.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Leila buys 3 cucumbers at $2 each, so she spends 3 * $2 = $6 on cucumbers.\nJack buys 5 tomatoes at $1 each, so he spends 5 * $1 = $5 on tomatoes.\nChase buys 1 head of lettuce at $3 each, so he spends 1 * $3 = $3 on lettuce.\n\nTogether, Leila, Jack, and Chase spent $6 + $5 + $3 = $14 to make the salad for the potluck.\n\n#### 14\nThe answer is: 14", "answer": {"result": 14.0}}, "matches": true} +{"solution": {"solution": "If George has 45% more pears than bananas, and he has 200 bananas, then the number of pears he has is 45% of 200. \n\n45% of 200 is calculated as:\n(45/100) * 200 = 90\n\nSo, George has 90 more pears than bananas.\n\nNow, to find the total number of pears, we add the extra pears to the number of bananas:\n200 bananas + 90 pears = 290 pears\n\nTo find the total number of fruits, we add the number of bananas and pears together:\n200 bananas + 290 pears = 490 fruits\n\nGeorge has a total of $\\boxed{490}$ fruits.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Marissa had $80 - $20 = $60 left after buying the ball. \n\nShe used $60 to buy candy bars at $5 each, so she bought $60 / $5 = 12 candy bars. \n\nMarissa bought $\\boxed{12}$ candy bars for Jimmy.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To make 1 liter of juice, Sam needs 5 kilograms of oranges, so to make 4 liters of juice, he would need 4 x 5 = 20 kilograms of oranges.\nEach kilogram of oranges costs $3, so to make 20 kilograms of oranges, Sam would need to spend 20 x $3 = $60.\nTherefore, Sam would have to spend $60 to make 4 liters of juice.\n#### 60\nThe answer is: 60", "answer": {"result": 60.0}}, "matches": true} +{"solution": {"solution": "If Ezra has read 300 books in one hour and decided to read 150 more, then Ezra has read a total of 300 + 150 = 450 books.\n\nAhmed read half as many books as Ezra in one hour, so Ahmed read 300 / 2 = 150 books.\n\nTogether, Ezra and Ahmed have read 450 (Ezra's books) + 150 (Ahmed's books) = $\\boxed{600}$ books altogether.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nTo calculate how much Tanya earned for teaching on Monday and Wednesday, we will break down her earnings day by day and then sum them up.\n\n1. **Monday's Earnings:**\n - Tanya teaches 4 classes for 5 hours.\n - Her hourly rate is $15.\n\n Compute the hourly rate for 5 hours:\n \\[\n 15 \\, \\text{\\$ per hour} \\times 5 \\, \\text{hours} = 75 \\, \\text{\\$}\n \\]\n\n2. **Monday's Additional Payment:**\n - Tanya teaches more than 3 classes, so she gets an additional $5 per day.\n\n Add the additional payment to the hourly earnings:\n \\[\n 75 \\, \\text{\\$} + 5 \\, \\text{\\$} = 80 \\, \\text{\\$}\n \\]\n\n3. **Wednesday's Earnings:**\n - Tanya teaches 2 classes for 2 hours.\n - Her hourly rate is $15.\n\n Compute the hourly rate for 2 hours:\n \\[\n 15 \\, \\text{\\$ per hour} \\times 2 \\, \\text{hours} = 30 \\, \\text{\\$}\n \\]\n\n4. **Wednesday's Additional Payment:**\n - Tanya teaches 2 classes, which is fewer than 3 classes, so she does not receive the additional $5.\n\n Add the hourly earnings for Wednesday:\n \\[\n 30 \\, \\text{\\$}\n \\]\n\n5. **Total Earnings for Both Days:**\n - Sum the earnings from Monday and Wednesday.\n\n \\[\n 80 \\, \\text{\\$} (Monday) + 30 \\, \\text{\\$} (Wednesday) = 110 \\, \\text{\\$}\n \\]\n\n### Conclusion:\nTanya earned a total of:\n\\[\n\\boxed{110 \\, \\text{\\$}}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To determine how many more vanilla scents sold compared to the fruity scents, we first calculate the total sales for each type of scent.\n\nFor the vanilla scents, there are 4 different scents, and each sold 5 bottles. Therefore, the total sales for vanilla scents is calculated by multiplying the number of vanilla scents by the number sold per scent:\n\\[4 \\text{ scents} \\times 5 \\text{ bottles/scent} = 20 \\text{ bottles}\\]\n\nFor the fruity scents, there are 8 different scents, and each sold 2 bottles. Thus, the total sales for fruity scents is:\n\\[8 \\text{ scents} \\times 2 \\text{ bottles/scent} = 16 \\text{ bottles}\\]\n\nTo find out how many more vanilla scents sold compared to the fruity scents, we subtract the total sales of fruity scents from the total sales of vanilla scents:\n\\[20 \\text{ bottles} - 16 \\text{ bottles} = 4 \\text{ bottles}\\]\n\nTherefore, the perfume company sold 4 more vanilla scents than fruity scents.\n\nEncapsulating the final answer:\n\\[4\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Bennet sells 20 eggplants for $3 each, so he earns 20 * $3 = $60 from the eggplants.\n\nHe wants to make a total of $135, so he still needs to earn $135 - $60 = $75 from selling the corn.\n\nHe has 25 ears of corn, so he needs to sell each ear for $75 / 25 = $\\boxed{\\$3}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total time Tatiana has for activities during her weekend. She has 7 hours on Saturday and 5 hours on Sunday, which adds up to:\n\n\\[7 \\text{ hours (Saturday)} + 5 \\text{ hours (Sunday)} = 12 \\text{ hours}\\]\n\nNext, we subtract the time she spends reading from her total weekend time. She reads for 3 hours, so the remaining time for soccer and video games is:\n\n\\[12 \\text{ hours (total)} - 3 \\text{ hours (reading)} = 9 \\text{ hours}\\]\n\nTatiana then plays video games for 1/3 of the remaining time. The time spent on video games is:\n\n\\[\\frac{1}{3} \\times 9 \\text{ hours} = 3 \\text{ hours}\\]\n\nTo find out how much time she spends on soccer, we subtract the time spent on video games from the remaining time after reading:\n\n\\[9 \\text{ hours (remaining)} - 3 \\text{ hours (video games)} = 6 \\text{ hours (soccer)}\\]\n\nFinally, to find the percentage of her weekend that Tatiana spends playing soccer, we calculate the fraction of the weekend time spent on soccer and convert it to a percentage:\n\n\\[\\frac{6 \\text{ hours (soccer)}}{12 \\text{ hours (total)}} = \\frac{6}{12} = \\frac{1}{2}\\]\n\nConverting this fraction to a percentage gives:\n\n\\[\\frac{1}{2} \\times 100\\% = 50\\%\\]\n\nTherefore, Tatiana spends $\\boxed{50\\%}$ of her weekend playing soccer.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's find out how many pencils Anthony gave to Brandon. Since Anthony had 50 pencils and gave Brandon 1/2 of them, we calculate:\n\n1/2 * 50 = 25 pencils\n\nAfter giving Brandon 25 pencils, Anthony had:\n\n50 - 25 = 25 pencils left\n\nNext, Anthony gave 3/5 of the remaining 25 pencils to Charlie. To find out how many that is, we calculate:\n\n3/5 * 25 = 15 pencils\n\nAfter giving Charlie 15 pencils, Anthony had:\n\n25 - 15 = 10 pencils left\n\nSo, Anthony kept $\\boxed{10}$ pencils.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, we follow these steps:\n\n1. **Calculate the time for the trip to the museum:**\n\nJack drives 150 miles to the museum at a speed of 75 mph. The time taken for the trip can be found by dividing the distance by the speed. This gives us:\n\\[ \\text{Time to museum} = \\frac{150 \\, \\text{miles}}{75 \\, \\text{mph}} = 2 \\, \\text{hours} \\]\n\n2. **Calculate the time for the return trip:**\n\nSimilarly, the time for the return trip is also 2 hours, as the distance and speed remain constant.\n\n3. **Calculate the total travel time:**\n\nThe total travel time is the sum of the time taken for the trip to the museum and the return trip. Therefore, we add the times together:\n\\[ \\text{Total travel time} = 2 \\, \\text{hours} + 2 \\, \\text{hours} = 4 \\, \\text{hours} \\]\n\n4. **Calculate the total time away from home:**\n\nJack spends 6 hours at the museum. To find the total time he is away from home, we add the total travel time to the time spent at the museum:\n\\[ \\text{Total time away from home} = 4 \\, \\text{hours} + 6 \\, \\text{hours} = 10 \\, \\text{hours} \\]\n\nTherefore, Jack is gone from home for a total of $\\boxed{10}$ hours.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's find out how many wheels Henry needs for all the cars. Since he needs 4 wheels for each car and he has 57 cars, he will need:\n\n57 cars * 4 wheels/car = 228 wheels\n\nNext, let's find out how many wheels Henry needs for all the motorcycles. Since he needs 2 wheels for each motorcycle and he has 73 motorcycles, he will need:\n\n73 motorcycles * 2 wheels/motorcycle = 146 wheels\n\nNow, let's add the total number of wheels needed for both cars and motorcycles:\n\n228 wheels (cars) + 146 wheels (motorcycles) = 374 wheels\n\nHenry has a box with 650 wheels. To find out how many wheels will be left after assembling all the toys, we subtract the total number of wheels needed from the total number of wheels he has:\n\n650 wheels (total) - 374 wheels (needed) = 276 wheels\n\nTherefore, Henry will have $\\boxed{276}$ wheels left after assembling all the toys.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the discounted price of the laptop, we follow these steps:\n\n1. Determine the amount of the discount:\n\\[1000 \\times \\frac{20}{100} = \\$200\\]\n\n2. Subtract the discount from the original price to find the final price:\n\\[1000 - 200 = \\$800\\]\n\nTherefore, after applying the 20% discount, the price of the laptop is $\\boxed{\\$800}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Mike has 600 movies, and a third of them are in series, so he has 600 * (1/3) = 200 movies in series.\n\nHe can get these movies in series for only $6 of the cost of a normal movie, so the cost for these 200 movies is 200 * $6 = $1200.\n\nThe remaining movies are 600 - 200 = 400 movies.\n\n40% of these remaining movies are older movies, so he has 400 * 0.4 = 160 older movies.\n\nThe cost for these older movies is 160 * $5 = $800.\n\nThe remaining movies, which are not in series and not older movies, are 400 - 160 = 240 movies.\n\nThe cost for these remaining movies is 240 * $10 = $2400.\n\nNow, we add up the costs for each category of movies:\n\nCost for series movies: $1200\nCost for older movies: $800\nCost for other movies: $2400\n\nTotal cost: $1200 + $800 + $2400 = $4400\n\nMike's total cost to replace his movie collection with digital versions is $\\boxed{\\$4400}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Winston picked 6 pounds of peaches at $2.00 per pound, so he spent 6 * $2.00 = $12.00 on peaches.\n\nHe picked 8 pounds of plums at $1.00 per pound, so he spent 8 * $1.00 = $8.00 on plums.\n\nHe also picked 6 pounds of apricots at $3.00 per pound, so he spent 6 * $3.00 = $18.00 on apricots.\n\nIn total, Winston spent $12.00 + $8.00 + $18.00 = $\\boxed{\\$38.00}$ on fruit.The answer is: 38", "answer": {"result": 38.0}}, "matches": true} +{"solution": {"solution": "First, let's find out how long they spent driving. They spent a total of 6 hours traveling, and 1.5 hours hiking. So, the time spent driving is 6 - 1.5 = 4.5 hours.\n\nNext, let's find out how fast they were driving. They drove at an average speed of 50 miles per hour for 4.5 hours, so the distance they covered by driving is 50 miles/hour * 4.5 hours = 225 miles.\n\nNow, let's find out their hiking speed. They hiked at an average speed of 5 miles per hour less than half their driving speed. Half of their driving speed is 50 miles/hour / 2 = 25 miles/hour. So, their hiking speed is 25 miles/hour - 5 miles/hour = 20 miles/hour.\n\nSince they hiked for 1.5 hours, the distance they covered by hiking is 20 miles/hour * 1.5 hours = 30 miles.\n\nFinally, to find the total distance to their vacation spot, we add the distance covered by driving and hiking: 225 miles + 30 miles = 255 miles.\n\nTherefore, their vacation spot was 255 miles away.\n\nThe final answer is 255 miles.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nLet's assume Emma jumped on x enemies. Therefore, Ava jumped on x + 8 enemies.\n\nLet's assume Emma collected y berries. Therefore, Ava collected y + 3 berries.\n\nLet's assume Emma finished the level with a time of z seconds. Therefore, Ava finished the level with a time of z - 4 seconds.\n\nNow we can calculate their scores:\n\nEmma's score = 10(x) + 5(y) + 30(z)\n\nAva's score = 10(x + 8) + 5(y + 3) + 30(z - 4)\n\nThe difference between their scores is:\n\nAva's score - Emma's score = [10(x + 8) + 5(y + 3) + 30(z - 4)] - [10(x) + 5(y) + 30(z)]\n\nSimplifying the expression:\n\n= 10x + 80 + 5y + 15 + 30z - 120 - 10x - 5y - 30z\n\n= 80 + 15 - 120\n\n= -25\n\nSince we are looking for the absolute difference, the answer is 25.\n\nAnswer: 25", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The total cost of the four pizzas is 64 dollars.\nWe know that two of the pizzas cost 30 dollars, so the remaining two pizzas must cost a total of 64 - 30 = 34 dollars.\nSince the two pizzas cost the same amount, each pizza costs 34 / 2 = 17 dollars.\nTherefore, each of the other two pizzas cost 17 dollars.\n#### 17\nThe answer is: 17", "answer": {"result": 17.0}}, "matches": true} +{"solution": {"solution": "Chase and Rider ride their bikes thrice a day for 5 days, so they ride their bikes 3 * 5 = 15 times in total for those 5 days.\nOn the other two days, they ride twice the times they do on usual days. Since they ride 3 times on usual days, they ride 3 * 2 = 6 times on those two days.\nSo, in total, they ride their bikes 15 + 6 = 21 times a week.\n#### 21\nThe answer is: 21", "answer": {"result": 21.0}}, "matches": false} +{"solution": {"solution": "Let's denote the number of white fish Bob bought as W and the number of orange fish he bought as O. \n\nGiven that Bob originally had 3 orange fish and 4 white fish, he had a total of 3 + 4 = 7 fish in his pond. \n\nWhen he added the 17 new fish to his pond, he ended up with a total of 7 + 17 = 24 fish.\n\nWe are told that after adding the new fish, Bob had twice as many orange fish as white fish. So we can write the equation:\n\nO = 2(W)\n\nWe also know that the total number of orange and white fish after the purchase is 24. Since he had 7 original fish, the new fish must make up the difference:\n\n3 (original orange fish) + O (new orange fish) + 4 (original white fish) + W (new white fish) = 24\n\nNow we can substitute O with 2W (since he has twice as many orange as white):\n\n3 + 2W + 4 + W = 24\n\nCombine like terms:\n\n5 + 3W = 24\n\nSubtract 5 from both sides:\n\n3W = 19\n\nDivide both sides by 3:\n\nW = 19 / 3\n\nSince Bob cannot buy a fraction of a fish, we need to find the nearest whole number that would satisfy the condition of having twice as many orange fish as white fish. \n\nIf W = 6 (white fish), then O = 2W = 2(6) = 12 (orange fish).\n\nLet's check if this satisfies our total:\n\nOriginal white fish: 4\nNew white fish: 6\nTotal white fish: 4 + 6 = 10\n\nOriginal orange fish: 3\nNew orange fish: 12\nTotal orange fish: 3 + 12 = 15\n\nTotal fish: 10 + 15 = 25\n\nThis total (25) is one more than our previous calculation (24), which means we need to adjust our numbers. If we decrease the number of new white fish by 1, we will have:\n\nNew white fish: 5\nTotal white fish: 4 + 5 = 9\n\nNew orange fish: 12\nTotal orange fish: 3 + 12 = 15\n\nTotal fish: 9 + 15 = 24\n\nThis satisfies the condition that the total number of fish is 24 and that there are twice as many orange fish as white fish. \n\nTherefore, Bob bought $\\boxed{5}$ white fish at the store.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total distance Andy drives to and from work in a week. Since he goes to work and back home 5 days a week, and the one-way distance is 5 miles, the total distance per day is 5 miles * 2 = 10 miles. \n\nFor a week, the total distance is 10 miles/day * 5 days = 50 miles. \n\nNext, we need to determine how many gallons of gas Andy uses for this weekly distance. Since his car's fuel efficiency is 10 MPG, we can calculate the gallons used by dividing the total distance by the MPG: 50 miles / 10 MPG = 5 gallons. \n\nFinally, to find out how much money Andy's car consumes per week, we multiply the number of gallons by the price per gallon: 5 gallons * $3/gallon = $15. \n\nTherefore, Andy's car is consuming $15 per week on gas for his commute to work.\n\nThe final answer is $15.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total amount of money Carrie received in quarters. \n\n140 quarters * $0.25/quarter = $35.00\n\nNext, let's calculate the total amount of money Carrie received in twenties.\n\n10 twenties * $20/twenty = $200.00\n\nNow, let's calculate how much she spent from the twenties.\n\n3/5 of $200.00 = 0.6 * $200.00 = $120.00\n\nFinally, let's calculate the total amount Carrie spent for lunch.\n\n$120.00 (from twenties) + $35.00 (from quarters) = $155.00\n\nSo, Carrie paid a total of $155.00 for lunch.\n\nThe answer is $155.00", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Ricardo planted 5 tomato plants, and each tomato plant yields 22 tomatoes. So, the total number of tomatoes from the tomato plants is: 5 plants * 22 tomatoes/plant = 110 tomatoes.\n\nHe also planted 8 eggplant plants, and each eggplant plant yields 4 eggplants. So, the total number of eggplants from the eggplant plants is: 8 plants * 4 eggplants/plant = 32 eggplants.\n\nTo find the total number of fruits, we add the number of tomatoes and eggplants together: 110 tomatoes + 32 eggplants = 142 fruits.\n\nRicardo can get a total of 142 fruits from his plants.\n\n#### 142\nThe answer is: 142", "answer": {"result": 142.0}}, "matches": true} +{"solution": {"solution": "To solve this problem, we first need to determine the fraction of TVs sold that are OLED TVs. Given that one-fourth of the sales are smart TVs and one-eighth are analog TVs, we calculate the fraction for OLED TVs as follows:\n\n- Smart TVs fraction = $\\frac{1}{4}$\n- Analog TVs fraction = $\\frac{1}{8}$\n\nTo find the fraction for OLED TVs, we subtract the fractions of smart TVs and analog TVs from 1:\n\n\\[1 - \\frac{1}{4} - \\frac{1}{8} = \\frac{8}{8} - \\frac{2}{8} - \\frac{1}{8} = \\frac{5}{8}\\]\n\nThis means that $\\frac{5}{8}$ of the total sales are OLED TVs. To find out how many OLED TVs were sold, we multiply the total number of TVs sold by this fraction:\n\n\\[40 \\times \\frac{5}{8} = 25\\]\n\nTherefore, Samwell was able to sell $\\boxed{25}$ OLED TVs this week.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If the school is covering half the cost of the trip, then John needs to cover the other half. The total cost of the trip is $300, so half of that would be $300/2 = $150. \n\nJohn has $50, but he needs $150 more to cover his share of the trip cost. \n\nTherefore, John is missing $150 - $50 = $\\boxed{\\$100}$ .\n\nThe answer is: 100", "answer": {"result": 100.0}}, "matches": true} +{"solution": {"solution": "If it was 45 degrees during the day, then it's 45 - 33 = 12 degrees colder at night. \nTo prevent the pipes from freezing, Carson needs to heat up the house to at least 32 degrees. \nSo, he needs to raise the temperature by 32 - 12 = 20 degrees.\nSince each log of wood heats the house up by 5 degrees, Carson needs to burn 20 / 5 = 4 logs of wood.\n#### 4\nThe answer is: 4", "answer": {"result": 4.0}}, "matches": true} +{"solution": {"solution": "\n1. First, determine the number of 9-person groups formed from the 90 participants. This is done by dividing the total number of participants by the number of participants per group:\n \\[\n \\frac{90}{9} = 10\n \\]\n\n2. Next, identify how many groups had 3 members each, which is given by \\(\\frac{3}{5}\\) of the total number of groups. Calculate this value:\n \\[\n \\frac{3}{5} \\times 10 = 6\n \\]\n\n3. The remaining groups, which are \\(10 - 6 = 4\\), must each have 4 members.\n\n4. Determine the total number of seashells collected by the groups with 4 members. Each of these groups has 4 members, and each member brings back 2 seashells, so:\n \\[\n 4 \\times 2 = 8 \\text{ seashells per group}\n \\]\n\n5. Since there are 4 such groups:\n \\[\n 8 \\times 4 = 32 \\text{ seashells}\n \\]\n\n6. Determine the total number of seashells collected by the groups with 3 members. Each of these groups has 3 members, and each member brings back 2 seashells, so:\n \\[\n 3 \\times 2 = 6 \\text{ seashells per group}\n \\]\n\n7. Since there are 6 such groups:\n \\[\n 6 \\times 6 = 36 \\text{ seashells}\n \\]\n\n8. Finally, add the seashells collected by both types of groups to get the total number of seashells:\n \\[\n 32 + 36 = 68 \\text{ seashells}\n \\]\n\nConclusion:\n\\[\n\\boxed{68}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The train starts with 172 people. At the first stop, 47 people get off, so the number of people on the train decreases by 47:\n\n172 - 47 = 125 people\n\nThen, 13 more people get on the train, increasing the number of people on the train by 13:\n\n125 + 13 = 138 people\n\nAt the next stop, 38 people get off the train, decreasing the number of people on the train by 38:\n\n138 - 38 = 100 people\n\nSo, there are $\\boxed{100}$ people on the train after the second stop.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Damien finds 10 bottle caps a day, so in a 30 day month, he finds 10 x 30 = 300 bottle caps.\n\nEach bottle cap is worth $.25, so the total value of the bottle caps he finds in a month is 300 x $.25 = $75.\n\nTherefore, Damien makes $75 in a 30 day month.\n\n#### 75\nThe answer is: 75", "answer": {"result": 75.0}}, "matches": true} +{"solution": {"solution": "1. Calculate Jamie's regular hourly rate: \n Jamie's regular hourly rate is $20 per hour.\n\n2. Calculate the special hourly rate:\n The special hourly rate is 150% of her regular rate.\n \\[\n \\text{Special Rate} = 1.5 \\times 20 = 30 \\text{ dollars per hour}\n \\]\n\n3. Determine the total pay for the first 8 hours of work:\n Jamie works 8 hours at her regular rate:\n \\[\n \\text{Pay for first 8 hours} = 8 \\times 20 = 160 \\text{ dollars}\n \\]\n\n4. Calculate the pay for the additional 3 hours worked:\n Jamie worked 3 more hours at the special rate, which is $30 per hour:\n \\[\n \\text{Pay for additional 3 hours} = 3 \\times 30 = 90 \\text{ dollars}\n \\]\n\n5. Sum up total pay for the day:\n Add the pay for the first 8 hours and the additional 3 hours:\n \\[\n \\text{Total Pay} = 160 + 90 = 250 \\text{ dollars}\n \\]\n\n6. Conclusion:\n Jamie was paid $\\boxed{250}$ dollars for her work that day.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the total number of lions in the enclosure, we start by calculating the number of male lions. Since the zookeeper counts half as many male lions as female lions, we have:\n\n- Number of male lions = $\\frac{12}{2} = 6$\n\nNext, we add the number of female lions, male lions, and lion cubs to find the total number of lions:\n\n- Total number of lions = Number of female lions + Number of male lions + Number of lion cubs\n- Total number of lions = $12 + 6 + 14$\n\nPerforming the addition gives us:\n\n- Total number of lions = $22 + 14 = 36$\n\nTherefore, the total number of lions in the enclosure is $\\boxed{36}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The jeans are advertised 25% off, so Mike will pay 100% - 25% = 75% of the original price.\n75% of $40 is (75/100) * $40 = $30.\nIf Mike pays with a $50.00 bill, he will have $50 - $30 = $20 left over.\n#### 20\nThe answer is: 20", "answer": {"result": 20.0}}, "matches": true} +{"solution": {"solution": "To calculate the total amount of money the company pays to its employees after three months, we follow these steps:\n\n1. **Determine the growth in the workforce each month**: The company hires 20 new employees every month.\n2. **Calculate the total number of employees after three months**: The company started with 200 employees. After three months of hiring 20 new employees each month, the total number of employees becomes:\n \\[\n 200 + 20 \\times 3 = 200 + 60 = 260\n \\]\n3. **Calculate the monthly salary paid to all employees**: With each employee earning a $4000 salary per month, the total monthly salary expense for 260 employees is:\n \\[\n 260 \\times 4000 = 1040000\n \\]\n4. **Calculate the total salary expense for three months**: To find the total amount paid to employees over three months, we multiply the monthly salary expense by 3:\n \\[\n 1040000 \\times 3 = 3120000\n \\]\n\nTherefore, the total amount of money the company pays to its employees after three months is $\\boxed{3120000}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the total time the choir will be caroling, we need to calculate the total time for each song and then add them together.\n\nFirst, for \"Deck the Halls,\" which is sung twice, the total time is:\n\\[2 \\times 150 = 300 \\text{ seconds}\\]\n\nNext, for \"Jingle Bells,\" which is sung once, the total time is:\n\\[1 \\times 240 = 240 \\text{ seconds}\\]\n\nFinally, to find the total caroling time, we add the times for both songs:\n\\[300 + 240 = 540 \\text{ seconds}\\]\n\nTherefore, the total time the choir will be caroling is $\\boxed{540}$ seconds.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. Calculate Billy's initial hourly wage:\n\\[ 10 \\]\n\n2. Calculate Billy's wage after the first raise:\n\\[ 10 + 0.50 = 10.50 \\]\n\n3. Calculate Billy's wage after the second raise (on his first anniversary):\n\\[ 10.50 + 1.00 = 11.50 \\]\n\n4. Calculate Sally's starting hourly wage, which is $0.50 more than Billy's starting wage:\n\\[ 10 + 0.50 = 10.50 \\]\n\n5. Determine the difference in hourly wages between Billy and Sally:\n\\[ 11.50 - 10.50 = 1.00 \\]\n\n6. Calculate the total earnings difference for 20 hours of work:\n\\[ 1.00 \\times 20 = 20 \\]\n\nConclusion:\n\\[ \\boxed{20} \\]\n\nThis means Billy earns $20 more than Sally if both work 20 hours.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "A loaf of bread costs $2, so 3 loaves of bread cost 3 x $2 = $6.\n2 bagels cost 2 x $1 = $2.\nTherefore, 3 loaves of bread cost $6 - $2 = $4 more than 2 bagels.\n#### 4\nThe answer is: 4", "answer": {"result": 4.0}}, "matches": true} +{"solution": {"solution": "Half of Pierson's score is 278 / 2 = 139 points.\nNikita scored 11 more than half of Pierson's score, so Nikita scored 139 + 11 = 150 points.\nIn total, Pierson and Nikita scored 278 + 150 = 428 points.\n#### 428\nThe answer is: 428", "answer": {"result": 428.0}}, "matches": true} +{"solution": {"solution": "\nFirst, let's calculate the total number of students in the school. There are 40 classes with an average of 25 students per class, so there are 40 * 25 = 1000 students.\n\nNext, let's calculate the total number of teachers in the school. There are 40 classes with an average of 3 teachers per class, so there are 40 * 3 = 120 teachers.\n\nNow, let's calculate the total number of trees planted by the students. Each student plants 1 tree, so there are 1000 * 1 = 1000 trees planted by students.\n\nNext, let's calculate the total number of trees planted by the teachers. Each teacher plants 2 trees, so there are 120 * 2 = 240 trees planted by teachers.\n\nFinally, let's calculate the total number of trees planted by the school. The total number of trees planted is the sum of the trees planted by students and teachers, so it's 1000 + 240 = 1240 trees.\n\nThe final answer is 1240 trees.\n\nAnswer: 1240", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's determine the total number of stuffed animals Bubbles currently has.\n\n- She has 3 stuffed puppies.\n- She has 5 stuffed koalas.\n- She has 2 stuffed zebras.\n- She has 4 stuffed frogs.\n\nAdding these together gives us:\n\\[ 3 + 5 + 2 + 4 = 14 \\]\n\nBubbles wants the stuffed goats to account for 30% of all her stuffed animals. To find out how many stuffed goats this is, we calculate 30% of 14:\n\\[ 0.30 \\times 14 = 4.2 \\]\n\nSince Bubbles can't buy a fraction of a stuffed animal, she needs to round 4.2 up to the nearest whole number, which is 5.\n\nTherefore, Bubbles should buy $\\boxed{5}$ stuffed goats.The answer is: 5", "answer": {"result": 5.0}}, "matches": false} +{"solution": {"solution": "Kris plays for half an hour every day for 2 weeks, which is 4 days per week, so 4 days * 2 weeks = 8 days.\nIf she plays for half an hour every day for 8 days, she will play 0.5 hours * 8 days = 4 hours.\nKris then plays for 2 hours every day for a week, which is 7 days.\nIf she plays for 2 hours every day for 7 days, she will play 2 hours * 7 days = 14 hours.\nIn total, Kris has played 4 hours + 14 hours = 18 hours.\nTo earn the achievement, Kris needs to play 30 hours in total.\nSo, she still needs to play 30 hours - 18 hours = 12 hours.\n#### 12\nThe answer is: 12", "answer": {"result": 12.0}}, "matches": false} +{"solution": {"solution": "To determine the distance between the two cars after 2 hours, I need to find out how far each car travels in that time.\n\nFor the first car traveling at 60 miles per hour, I can use the formula distance = speed x time to find the distance.\nDistance = 60 miles per hour x 2 hours = 120 miles.\n\nFor the second car traveling at 70 miles per hour, I can use the same formula to find the distance.\nDistance = 70 miles per hour x 2 hours = 140 miles.\n\nNow, to find the distance between the two cars after 2 hours, I need to subtract the distance traveled by the first car from the distance traveled by the second car.\nDistance between cars = 140 miles - 120 miles = 20 miles.\n\nTherefore, after 2 hours, the two cars will be 20 miles apart.\n\n# Answer\n\n20 miles", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, we calculate the total cost of the diamond and the gold:\n\n- Diamond cost: $600\n- Gold cost: $300\n\nTotal cost before premium = $600 (diamond) + $300 (gold) = $900\n\nNext, we calculate the 30% premium on the total cost:\n\nPremium = 30% of $900 = 0.30 * $900 = $270\n\nFinally, we add the premium to the total cost to find out how much James paid:\n\nTotal cost including premium = $900 (total cost) + $270 (premium) = $1170\n\nTherefore, James paid $\\$1170$ for the ring.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the overall pass rate, we need to calculate the total number of students who passed and the total number of students who took the test.\n\nFor the third graders, 340 out of 500 passed, so the pass rate is 340/500.\nFor the fourth graders, 40 out of 100 passed, so the pass rate is 40/100.\nFor the fifth graders, the pass rate is twice that of the fourth graders, so the pass rate is 2 * 40/100 = 80/100.\n\nNow, let's find the total number of students who passed:\n340 (third graders) + 40 (fourth graders) + 80 (fifth graders) = 460 students passed.\n\nNext, we find the total number of students who took the test:\n500 (third graders) + 100 (fourth graders) + 400 (fifth graders) = 1000 students took the test.\n\nFinally, we calculate the overall pass rate:\n460 (students who passed) / 1000 (total students) = 0.46.\n\nTo express this as a percentage, we multiply by 100:\n0.46 * 100 = 46%.\n\nThe school's overall pass rate is 46%.\n\nAnswer: \\boxed{46}.The answer is: 46", "answer": {"result": 46.0}}, "matches": false} +{"solution": {"solution": "1. Determine the total number of glass chips Milo has:\n Milo has two bags, each containing 72 chips. Therefore, the total number of chips is:\n \\[\n 72 \\times 2 = 144 \\text{ chips}\n \\]\n\n2. Calculate the area Milo can cover with these chips:\n Since it takes 12 chips to cover one square inch, the area Milo can cover with 144 chips is:\n \\[\n \\frac{144}{12} = 12 \\text{ square inches}\n \\]\n\n3. Determine the dimensions of the mosaic:\n Milo wants his mosaic to be three inches tall. To find how long the mosaic can be:\n \\[\n \\text{Length} = \\frac{\\text{Total area}}{\\text{Height}} = \\frac{12 \\text{ in}^2}{3 \\text{ in}} = 4 \\text{ inches}\n \\]\n\n4. Conclusion:\n Milo can make his mosaic $\\boxed{4}$ inches long.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nTo solve this problem, we will calculate the total amount of tea consumed by each group of students and then add them together to find the total amount of tea consumed. Finally, we will add the remaining tea to find the initial amount of tea at the party.\n\n1. **Calculate the tea consumption by the first group of students:**\n - Each of the 4 students drank 1.5 quarts of tea.\n - Total tea consumed by the first group = \\(4 \\times 1.5 = 6\\) quarts.\n\n2. **Calculate the tea consumption by the second group of students:**\n - Each of the 16 students drank 2 quarts of tea.\n - Total tea consumed by the second group = \\(16 \\times 2 = 32\\) quarts.\n\n3. **Add the total tea consumed by both groups:**\n - Total tea consumed = \\(6 \\text{ (from the first group)} + 32 \\text{ (from the second group)} = 38\\) quarts.\n\n4. **Add the remaining tea to the total tea consumed:**\n - There are 10 quarts of tea left after the party.\n - Total tea initially = \\(38 \\text{ (consumed)} + 10 \\text{ (remaining)} = 48\\) quarts.\n\n5. **Convert quarts to gallons (since 1 gallon = 4 quarts):**\n - Total tea initially in gallons = \\(\\frac{48}{4} = 12\\) gallons.\n\nThus, the initial amount of tea at the party was \\(\\boxed{12}\\) gallons.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nDale started off with 100 candies and sold 150, which means he sold more candies than he initially had. To find out how many candies he has now, we subtract the number of candies he sold from the initial number he had:\n\n100 (initial candies) - 150 (candies sold) = -50\n\nHowever, this result doesn't make sense in the context of the problem, as he can't have a negative number of candies. This indicates an error in the interpretation of the problem statement. The intended calculation should be the number of candies he has after selling, which is actually the number he sold minus the initial number:\n\n150 (candies sold) - 100 (initial candies) = 50\n\nDale now has 50 candies (the ones he sold). He then ordered 100 more candies, so he now has:\n\n50 (remaining candies) + 100 (newly ordered candies) = 150\n\nDale now has a total of 150 candies. Since he wants to sell all of his candy, and he has 150 candies, he has already sold all of them. Therefore, Dale does not need to sell any more candies to sell all of his candy.\n\nThe final answer is that Dale does not need to sell any more candies to sell all of his candy. $\\boxed{0}$ candies.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how many additional students join by the end of May, we need to calculate the total number of students on campus by the end of May and subtract the initial number of students at the beginning of the year.\n\nAt the end of each month, the number of students doubles. So, let's calculate the number of students at the end of each month:\n\n- End of January: 10 * 2 = 20 students\n- End of February: 20 * 2 = 40 students\n- End of March: 40 * 2 = 80 students\n- End of April: 80 * 2 = 160 students\n- End of May: 160 * 2 = 320 students\n\nNow, subtract the initial number of students (10) from the total number of students at the end of May (320):\n\n320 - 10 = 310\n\nTherefore, by the end of May, there would be an additional 310 students on campus above and beyond the number of students already on campus at the beginning of the year.\n\nSo, the answer is $310$ additional students.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the average number of branches Felix climbed per day, we first need to determine the total number of branches he climbed during the week. Since he charges $0.25 for each branch and made a total of $105, we can calculate the total number of branches by dividing the total earnings by the cost per branch.\n\n1. Calculate the total number of branches climbed during the week:\n\\[ \\text{Total branches} = \\frac{\\text{Total earnings}}{\\text{Cost per branch}} = \\frac{105}{0.25} = 420 \\]\n\n2. Since there are 7 days in a week, to find the average number of branches climbed per day, we divide the total number of branches by the number of days:\n\\[ \\text{Average branches per day} = \\frac{\\text{Total branches}}{\\text{Number of days}} = \\frac{420}{7} = 60 \\]\n\nTherefore, Felix climbed an average of $\\boxed{60}$ branches per day.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total number of petals Rose picked before dropping any:\n\n- From the first batch of 3 flowers with 5 petals each, she picked 3 * 5 = 15 petals.\n- From the second batch of 4 flowers with 6 petals each, she picked 4 * 6 = 24 petals.\n- From the third batch of 5 flowers with 4 petals each, she picked 5 * 4 = 20 petals.\n- From the fourth batch of 6 flowers with 7 petals each, she picked 6 * 7 = 42 petals.\n\nAdding these together, the total number of petals she picked is 15 + 24 + 20 + 42 = 101 petals.\n\nNow, let's calculate how many petals were lost:\n\n- She dropped 1 flower with 5 petals, so she lost 1 * 5 = 5 petals.\n- She lost another 1 flower with 6 petals, so she lost 1 * 6 = 6 petals.\n- She lost another 1 flower with 4 petals, so she lost 1 * 4 = 4 petals.\n- She lost another 1 flower with 7 petals, so she lost 1 * 7 = 7 petals.\n\nAdding these together, the total number of petals lost is 5 + 6 + 4 + 7 = 22 petals.\n\nFinally, let's subtract the lost petals from the total picked to find out how many petals are in the vase:\n\n101 (total picked) - 22 (lost) = 79 petals in the vase.\n\nSo, there are $\\boxed{79}$ petals on the flowers in the vase.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The total number of marshmallows used is 9 + 9 = 18.\n\nAfter dropping 3 marshmallows, the remaining marshmallows are 35 - 3 = 32.\n\nWith 32 marshmallows left and each S'more using 1 marshmallow, each kid can make 32 / 2 = 16 S'mores.\n\nTherefore, each kid can have 16 S'mores with the marshmallows left in the bag.\n\nThe answer is 16.\n\nAnswer: \\boxed{16}", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nFirst, let's convert the 4 hours of play into minutes. Since there are 60 minutes in an hour, 4 hours is equal to 4 * 60 = 240 minutes.\n\nJack can play for 20 minutes with 1 quarter, so he will need 240 / 20 = 12 quarters for 4 hours.\n\nTwo of Jack's friends can only play for half the time, so they can play for 20 / 2 = 10 minutes with 1 quarter. They will each need 240 / 10 = 24 quarters for 4 hours.\n\nThe other friend can play for 1.5 times the length of time Jack can play, so they can play for 20 * 1.5 = 30 minutes with 1 quarter. They will need 240 / 30 = 8 quarters for 4 hours.\n\nIn total, they will need 12 + 24 + 24 + 8 = 68 quarters for 4 hours.\n\nSince 1 quarter is equal to $0.25, the total amount of money spent will be 68 * $0.25 = $17.\n\nTherefore, they used $17.\n\nAnswer: \\boxed{\\$17}", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. Let the amount of salt be $s$ ounces. Therefore, the amount of sugar is also $s$ ounces.\n2. Tanya uses twice as much oil as salt, so the amount of oil is $2s$ ounces.\n3. For the fragrance, it is equal to the amount of citrus zest. Let the amount of citrus zest be $z$ ounces. Therefore, the amount of fragrance is also $z$ ounces.\n4. The total amount of the materials used in the recipe must fill a 10-ounce jar. Therefore, we set up the equation:\n \\[\n s + s + 2s + z + z = 10\n \\]\n Simplifying the left-hand side, we have:\n \\[\n 4s + 2z = 10\n \\]\n5. To find a solution where all components are integer values, we must find a combination of $s$ and $z$ that satisfy $4s + 2z = 10$.\n6. Simplify the equation by dividing everything by 2:\n \\[\n 2s + z = 5\n \\]\n7. We now look for integer values of $s$ and $z$ that satisfy the equation. Begin by trying $s = 1$:\n \\[\n 2(1) + z = 5 \\implies 2 + z = 5 \\implies z = 3\n \\]\n8. Verify the amounts:\n - Salt ($s$) = 1 ounce\n - Sugar ($s$) = 1 ounce\n - Oil ($2s$) = $2 \\times 1 = 2$ ounces\n - Fragrance ($z$) = 3 ounces\n - Citrus zest ($z$) = 3 ounces\n\n9. The total checks out:\n \\[\n 1 + 1 + 2 + 3 + 3 = 10 \\text{ ounces}\n \\]\n\nConclusion:\nTanya uses $2$ ounces of oil in her salt scrub recipe.\n\n\\[\n\\boxed{2}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "John bought 3 goats for $500 each, so the total cost of the goats is 3 * $500 = $1500. \n\nHe also bought 2 cows for $1500 each, so the total cost of the cows is 2 * $1500 = $3000. \n\nTherefore, the total amount of money John spent is $1500 (for the goats) + $3000 (for the cows) = $\\boxed{\\$4500}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Paul already has 8 chocolate cupcakes and 40 toffee cupcakes, which totals to 48 cupcakes. \n\nHe needs 63 cupcakes in total. \n\nTo find out how many more cupcakes Paul needs to buy, subtract the number of cupcakes he already has from the total number required:\n\n63 (total needed) - 48 (already has) = 15\n\nPaul needs to buy $\\boxed{15}$ more cupcakes.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nIf Robert has 20 cars, then Joe has 2 * 20 = 40 cars.\n\nJoe sells 20% of his cars, which is 20% * 40 = 8 cars.\n\nHe gives away twice as many cars as the number he sold to his mother, which is 2 * 8 = 16 cars.\n\nAfter selling and giving away cars, Joe remains with 40 - 8 - 16 = 16 cars.\n\n#### 16\nThe answer is: 16", "answer": {"result": 16.0}}, "matches": true} +{"solution": {"solution": "The total amount raised by the students is $175,000 - $50,000 = $125,000. \n\nIf each student raised an equal amount, we can divide the total amount raised by the number of students to find out how much each student raised. \n\nSo, each student raised $125,000 \u00f7 20 = $6,250. \n\nTherefore, each student raised $\\boxed{\\$6,250}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nSandy walked from Holloway Shores to Sun Valley Shores for 8 hours on the first day. Since there are 60 minutes in an hour, she walked for 8 * 60 = 480 minutes on the first day.\n\nOn the second day, she walked half as many hours as she walked on the first day, which is 8 / 2 = 4 hours. \n\nSo, she walked for 4 * 60 = 240 minutes on the second day.\n\nThe total time Sandy took to walk in the two days is 480 + 240 = 720 minutes.\n\n#### 720\nThe answer is: 720", "answer": {"result": 720.0}}, "matches": true} +{"solution": {"solution": "During the first break, Hunter counted 20 more cars, so the total number of cars in the parking lot was 50 + 20 = 70 cars.\nDuring the lunch break, 1/2 the number of cars had gone, so the number of cars remaining is 70 * 1/2 = 35 cars.\nTherefore, Hunter counted 35 cars during the lunch break.\n#### 35\nThe answer is: 35", "answer": {"result": 35.0}}, "matches": true} +{"solution": {"solution": "\nFirst, let's calculate how much John makes in a single day. \n\nHe does 30 cycles of work a day, and each cycle consists of 5 tasks. \nSo, in a day, he completes 30 * 5 = 150 tasks. \n\nEach task pays $1.20, so in a single day, he earns 150 * $1.20 = $180. \n\nNow, let's calculate how much he makes in a full 7-day week. \n\nIf he earns $180 in a day, then in a 7-day week, he earns 7 * $180 = $1260. \n\nTherefore, John makes $1260 in a full 7-day week. \n\n#### 1260\nThe answer is: 1260", "answer": {"result": 1260.0}}, "matches": true} +{"solution": {"solution": "\nIn the first game, Sasha scored 14 points.\nJulie scored 4 fewer points than Sasha, so Julie scored 14 - 4 = 10 points.\nIn the second game, Sasha scored 6 fewer points than Julie's score in the first game, so Sasha scored 10 - 6 = 4 points.\nThe total points Sasha scored during both games is 14 + 4 = 18.\n#### 18\nThe answer is: 18", "answer": {"result": 18.0}}, "matches": false} +{"solution": {"solution": "Kimberly bought 8 packages of cat food, with each package containing 11 tins. So, the total number of tins of cat food she bought is 8 * 11 = 88 tins.\n\nKimberly also bought 6 packages of dog food, with each package containing 6 tins. So, the total number of tins of dog food she bought is 6 * 6 = 36 tins.\n\nTo find out how many more tins of cat food than dog food Kimberly bought, we subtract the total number of dog food tins from the total number of cat food tins: 88 - 36 = 52.\n\nTherefore, Kimberly bought $\\boxed{52}$ more tins of cat food than dog food.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote the number of cards PJ has as P.\n\nAccording to the problem, Smendrick has 3 times the amount of cards that PJ has, so Smendrick has 3P cards.\n\nBecca has 12 more cards than Smendrick, so Becca has 3P + 12 cards.\n\nThe total number of cards is the sum of the cards each person has, which is given as 341. Therefore, we can set up the following equation:\n\nP + 3P + (3P + 12) = 341\n\nCombining like terms, we get:\n\n7P + 12 = 341\n\nSubtracting 12 from both sides, we get:\n\n7P = 329\n\nDividing both sides by 7, we get:\n\nP = 47\n\nNow that we know PJ has 47 cards, we can find out how many cards Becca has:\n\nBecca's cards = 3P + 12\nBecca's cards = 3(47) + 12\nBecca's cards = 141 + 12\nBecca's cards = 153\n\nBecca has $\\boxed{153}$ cards.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Cindy had 5 green eggs. \nShe had twice as many blue eggs as green ones, so she had 5 x 2 = 10 blue eggs. \nShe had one fewer pink eggs than blue eggs, so she had 10 - 1 = 9 pink eggs. \nShe had one-third as many yellow eggs as pink eggs, so she had 9 / 3 = 3 yellow eggs. \nAltogether, Cindy had 5 green + 10 blue + 9 pink + 3 yellow = 27 eggs. \n\n#### 27\nThe answer is: 27", "answer": {"result": 27.0}}, "matches": true} +{"solution": {"solution": "\nFirst, let's calculate the shipping cost for the weight of the book. The book weighs 4 pounds, and the shipping company charges $0.35 per pound. So, the shipping cost for weight is:\n\n4 pounds * $0.35/pound = $1.40\n\nNext, we calculate the shipping cost for the distance. The distribution center is 20 miles away, and the shipping company charges $0.08 per mile. So, the shipping cost for distance is:\n\n20 miles * $0.08/mile = $1.60\n\nNow, let's calculate the total shipping cost by adding the weight and distance costs:\n\nTotal shipping cost = $1.40 (weight) + $1.60 (distance) = $3.00\n\nMilly will get back 75% of the book's purchase price as a refund. The book cost $32, so the refund amount is:\n\n$32 * 0.75 = $24\n\nFinally, to find out how much money Milly will lose, we subtract the refund amount from the total shipping cost:\n\n$3.00 (shipping cost) - $24 (refund) = -$21.00\n\nMilly will lose $21.00 in this transaction.\n\nAnswer:\n$21.00", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Mulan starts with $40 and her father gives her $100, so she has a total of $40 + $100 = $140. \n\nShe buys two pairs of jeans at $30 each, so that's 2 * $30 = $60. \n\nShe also buys a bag for $20. \n\nSo in total, she spends $60 + $20 = $80. \n\nTo find out how much money she has left, we subtract the amount she spent from the total amount she had: $140 - $80 = $60. \n\nMulan has $60 left. \n\n#### 60\nThe answer is: 60", "answer": {"result": 60.0}}, "matches": true} +{"solution": {"solution": "In the first week, Boris produces 8,000 bars of chocolate. \n\nIn the second week, he produces half as much as the first week, so he produces 8,000 / 2 = 4,000 bars of chocolate.\n\nIn the third week, he produces three times as much as the first week, so he produces 8,000 * 3 = 24,000 bars of chocolate.\n\nTo find out how much he produces in the fourth week, we need to total up the production from the first three weeks:\n\nFirst week: 8,000 bars\nSecond week: 4,000 bars\nThird week: 24,000 bars\n\nTotal production for the first three weeks = 8,000 + 4,000 + 24,000 = 36,000 bars\n\nBoris's total monthly production is 50,000 bars. To find out how much he produces in the fourth week, we subtract the total from the first three weeks from his monthly total:\n\n50,000 total monthly bars - 36,000 bars from the first three weeks = 14,000 bars\n\nSo, Boris produces $\\boxed{14,000}$ bars of chocolate in the fourth week.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the total time Britany spends on TikTok in a month, we break down her activities:\n\n1. **Recording TikTok videos:**\n - Duration of each video: $4$ minutes\n - Number of videos recorded per week: $18$\n - Total time spent on recording per week: $4 \\, \\text{minutes/video} \\times 18 \\, \\text{videos} = 72 \\, \\text{minutes}$\n - Converting weekly minutes to hours: $72 \\, \\text{minutes/week} \\times \\frac{1 \\, \\text{hour}}{60 \\, \\text{minutes}} = 1.2 \\, \\text{hours/week}$\n\n2. **Writing songs:**\n - Duration of song-writing per week: $2$ hours\n - Total time spent on song-writing per month (four weeks): $2 \\, \\text{hours/week} \\times 4 \\, \\text{weeks} = 8 \\, \\text{hours/month}$\n\n3. **Doing makeup:**\n - Duration of makeup application per week: $15$ minutes\n - Frequency of makeup application per week: $6$ days\n - Total time spent on makeup per week: $15 \\, \\text{minutes/day} \\times 6 \\, \\text{days} = 90 \\, \\text{minutes/week}$\n - Converting weekly minutes to hours: $90 \\, \\text{minutes/week} \\times \\frac{1 \\, \\text{hour}}{60 \\, \\text{minutes}} = 1.5 \\, \\text{hours/week}$\n - Total time spent on makeup per month: $1.5 \\, \\text{hours/week} \\times 4 \\, \\text{weeks} = 6 \\, \\text{hours/month}$\n\n4. **Total time spent on TikTok per month:**\n - Adding up all activities: $1.2 \\, \\text{hours/week} + 2 \\, \\text{hours/week} + 1.5 \\, \\text{hours/week} = 4.7 \\, \\text{hours/week}$\n - Converting weekly hours to monthly hours: $4.7 \\, \\text{hours/week} \\times 4 \\, \\text{weeks} = 18.8 \\, \\text{hours/month}$\n\nTherefore, the total time Britany spends on TikTok in a month is $\\boxed{18.8 \\, \\text{hours}}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The basic installation cost is $129.00. \n\nAngela needs to hang 6 mirrors, which is 6 - 4 = 2 additional mirrors.\nShe needs to hang 2 chandeliers, which is 2 - 1 = 1 additional chandelier.\nShe needs to hang 20 pictures, which is 20 - 10 = 10 additional pictures.\n\nSo in total, Angela needs 2 mirrors + 1 chandelier + 10 pictures = 13 additional items installed.\n\nEach additional item costs $15.00, so 13 items x $15.00 = $195.00 for the additional installation.\n\nAdding this to the basic installation cost, the total cost will be $129.00 + $195.00 = $324.00.\n\nTherefore, the total cost for Angela's installation will be $\\boxed{\\$324.00}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. First, determine how much money Anthony has saved. Since Eva has saved $20.00, and Anthony has saved $10.00 more than Eva, we calculate Anthony's savings as follows:\n \\[\n \\text{Anthony's savings} = Eva's savings + 10.00 = 20.00 + 10.00 = 30.00 \\text{ dollars}\n \\]\n\n2. Next, calculate how much more money Roy has saved compared to Anthony. Roy has saved 40% more than Anthony. To find 40% of Anthony's savings, we calculate:\n \\[\n 40\\% \\times \\text{Anthony's savings} = 0.40 \\times 30.00 = 12.00 \\text{ dollars}\n \\]\n\n3. Finally, determine Roy's total savings by adding this additional amount to Anthony's savings:\n \\[\n \\text{Roy's savings} = \\text{Anthony's savings} + 12.00 = 30.00 + 12.00 = 42.00 \\text{ dollars}\n \\]\n\nThus, Roy has saved $\\boxed{42.00}$ dollars.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nIf Pompei can lift a mountain 1 inch, then Saskay can lift a mountain 12 times higher, which is 12 * 1 = 12 inches.\n\nKagiyami can lift a mountain 4 times higher than Saskay, which is 4 * 12 = 48 inches.\n\nNaruto can lift a mountain ten times higher than Kagiyami, which is 10 * 48 = 480 inches.\n\nTo convert inches to feet, we divide by 12 since there are 12 inches in a foot.\n\nSo, Naruto can lift a mountain 480 / 12 = 40 feet.\n\n#### 40\nThe answer is: 40", "answer": {"result": 40.0}}, "matches": true} +{"solution": {"solution": "Mason travels at a rate of 8 miles per hour. \nHe travels for 4 hours, so he covers 8 miles/hour x 4 hours = 32 miles. \nHe then takes some rest and travels for another 6 hours. \nSo in the second part of his journey, he covers 8 miles/hour x 6 hours = 48 miles. \nIn total, Mason has traveled 32 miles + 48 miles = 80 miles. \n#### 80\nThe answer is: 80", "answer": {"result": 80.0}}, "matches": true} +{"solution": {"solution": "First, let's find the speed of the kangaroos. If it takes 3 kangaroos a total of 18 hours to cross the highway, then the speed of the kangaroos is the distance divided by the time.\n\nLet's assume the distance across the highway is D. Then, the speed of the kangaroos is D/18 (distance per hour).\n\nNow, the speed of the turtles is half the speed of the kangaroos, so the speed of the turtles is (D/18) / 2 = D/36 (distance per hour).\n\nIf four turtles are traveling at the speed of D/36, then their combined speed is 4 * (D/36) = D/9 (distance per hour).\n\nTo find the time it takes for the four turtles to cross the highway, we use the formula time = distance/speed.\n\nThe time it takes for the four turtles to cross the highway is D / (D/9) = 9 hours.\n\nSo, it will take four turtles 9 hours to cross the highway.\n\nThe answer is: 9", "answer": {"result": 9.0}}, "matches": false} +{"solution": {"solution": "If Kora made 20 dishes, then Rory makes 20 + 20 = 40 clay dishes. \n\nJada makes twice as many as Rory, so she makes 40 x 2 = 80 clay dishes.\n\nTogether, they make 20 (Kora's dishes) + 40 (Rory's dishes) + 80 (Jada's dishes) = $\\boxed{140}$ clay dishes in total.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If the price of the laptop is reduced by $200 because of her trade-in, then the new price she has to pay is $600 - $200 = $400.\n\nErika has already been paid $150 for her part-time job, and her mom is giving her an additional $80. So, she has $150 + $80 = $230 from these sources.\n\nShe still needs an extra $50 to buy the laptop, which means she currently has $400 (the new price of the laptop) - $50 (amount still needed) = $350.\n\nSince she has $230 from her earnings and her mom's contribution, and she needs $350 in total, the amount she has in her purse is $350 - $230 = $\\boxed{\\$120}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Adam slices 3 large apples, which can be sliced into 5 pieces each, so he has 3 * 5 = 15 large apple slices.\nHe also slices 5 small apples, which can be sliced into 3 pieces each, so he has 5 * 3 = 15 small apple slices.\nIn total, Adam has 15 large apple slices + 15 small apple slices = 30 apple slices.\nHe eats 15 slices, so there are 30 apple slices - 15 slices = 15 apple slices left.\n#### 15\nThe answer is: 15", "answer": {"result": 15.0}}, "matches": true} +{"solution": {"solution": "The farmer currently extracts 5 liters of milk a day from each cow, so in total, he extracts 5 * 3 = 15 liters of milk a day. \n\nTo produce 25 liters of milk a day, he needs an additional 25 - 15 = 10 liters of milk. \n\nSince each cow produces 5 liters of milk a day, the farmer needs 10 / 5 = 2 more cows. \n\nTherefore, the farmer needs 2 more cows to produce 25 liters of milk a day. \n\n#### 2\nThe answer is: 2", "answer": {"result": 2.0}}, "matches": true} +{"solution": {"solution": "To find the total length of the glue sticks that are not used, we need to calculate the remaining length of each glue stick and then add them together. \n\n1. For the first glue stick, which has 1/6 left, we calculate the remaining length as follows:\n\\[ \\frac{1}{6} \\times 12 \\, \\text{mm} = 2 \\, \\text{mm} \\]\n\n2. For the second glue stick, which has 2/3 left, the calculation is:\n\\[ \\frac{2}{3} \\times 12 \\, \\text{mm} = 8 \\, \\text{mm} \\]\n\n3. For the third glue stick, which has 1/2 left, the calculation is:\n\\[ \\frac{1}{2} \\times 12 \\, \\text{mm} = 6 \\, \\text{mm} \\]\n\n4. To find the total length of the glue sticks that are not used, we add the remaining lengths of all three sticks:\n\\[ 2 \\, \\text{mm} + 8 \\, \\text{mm} + 6 \\, \\text{mm} = 16 \\, \\text{mm} \\]\n\nTherefore, the total length of the glue sticks that are not used is $\\boxed{16}$ millimeters.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Gabriel wants to buy a car for $10000 and a phone for $800, so the total cost is $10000 + $800 = $10800.\n\nGabriel has $5000 from working on weekends and his brother gave him $200, so he has a total of $5000 + $200 = $5200.\n\nTo find out how much money Gabriel still needs, we subtract the amount he has from the total cost: $10800 - $5200 = $5600.\n\nGabriel still needs $5600 to buy the car and the phone.\n\n#### 5600\nThe answer is: 5600", "answer": {"result": 5600.0}}, "matches": true} +{"solution": {"solution": "Thea gave the craftsman four $20 bills, so she paid a total of 4 * $20 = $80. \n\nThe hat was worth $70, so she should receive change of $80 - $70 = $10. \n\nTherefore, Thea received $\\$10$ in change. \n\n#### 10\nThe answer is: 10", "answer": {"result": 10.0}}, "matches": true} +{"solution": {"solution": "Craig has 2 twenty dollar bills, so he has a total of 2 * 20 = $40.\n\nHe buys six squirt guns for $2 each, so he spends 6 * $2 = $12 on squirt guns.\n\nHe also buys 3 packs of water balloons for $3 each, so he spends 3 * $3 = $9 on water balloons.\n\nIn total, he spends $12 + $9 = $21.\n\nCraig started with $40 and spent $21, so he has $40 - $21 = $\\boxed{\\$19}$ left.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Jack collected twice as many dishes as socks, then Jack collected 60/2 = 30 socks.\n\nPeter has half times as many dishes as Jack, so Peter has 30/2 = 15 dishes.\n\nPeter has twice as many socks as Jack, so Peter has 30*2 = 60 socks.\n\nTogether, Jack and Peter have 60 socks + 30 socks = 90 socks.\n\nAnd they have 30 dishes + 15 dishes = 45 dishes.\n\nThe total number of socks and dishes they have together is 90 socks + 45 dishes = $\\boxed{135}$ items.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "There are 20 students in total.\n5 students are good at math only.\n8 students are good at English only.\nTo find the number of students who are good at both math and English, we subtract the number of students who are good at math only and the number of students who are good at English only from the total number of students:\n20 - 5 - 8 = 7 students.\nTherefore, there are 7 students who are good at both math and English.\nTo find the total number of students who are good at math, we add the number of students who are good at math only and the number of students who are good at both math and English:\n5 + 7 = 12 students.\nTherefore, there are 12 students who are good at math.\n#### 12\nThe answer is: 12", "answer": {"result": 12.0}}, "matches": true} +{"solution": {"solution": "To determine how many groups can perform in Vicki's pop concert, we need to calculate the total time required for each group to get on stage, perform, and exit, and then subtract that from the total concert time, including the intermission. Finally, we'll divide the remaining time by the duration of each group's performance.\n\n1. **Calculate the total time required for one group:**\n - The time to get on stage: 2 minutes\n - The time to perform: 6 minutes\n - The time to exit: 2 minutes\n - Total time for one group: $2 + 6 + 2 = 10$ minutes\n\n2. **Add the intermission time:**\n - The intermission duration: 10 minutes\n - Total time including intermission: $10 + 10 = 20$ minutes\n\n3. **Determine the total performance time available:**\n - The total concert duration: 2 hours\n - Convert hours to minutes: $2 \\times 60 = 120$ minutes\n\n4. **Calculate the number of groups that can perform:**\n - Subtract the total time including intermission from the total performance time: $120 - 20 = 100$ minutes\n - Divide the remaining minutes by the time required for one group to perform: $100 / 10 = 10$ groups\n\nTherefore, the number of groups that can perform in Vicki's concert is $\\boxed{10}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nTo determine how much money Brenda will have after 3 years, we need to calculate the simple interest earned and add it to her initial investment.\n\n1. **Identify the rate of interest**: The rate of interest is given as three-quarters of the original amount per year. This can be expressed as a decimal by converting \"three-quarters\" to 0.75.\n\n2. **Calculate the annual interest**: For the first year, the interest earned is 0.75 times the initial investment of $300.\n \\[\n \\text{Annual interest} = 0.75 \\times 300 = 225 \\text{ dollars}\n \\]\n\n3. **Calculate the total interest earned over 3 years**: Since the interest rate remains constant, the interest earned each year is the same. Therefore, the total interest earned over 3 years is:\n \\[\n \\text{Total interest} = 225 \\times 3 = 675 \\text{ dollars}\n \\]\n\n4. **Calculate the total amount after 3 years**: Brenda's total amount after 3 years is the sum of her initial investment and the total interest earned.\n \\[\n \\text{Total amount} = \\text{Initial investment} + \\text{Total interest} = 300 + 675 = 975 \\text{ dollars}\n \\]\n\n### Conclusion:\n\nBrenda will have a total of:\n\\[\n\\boxed{975} \\text{ dollars}\n\\]\n\nafter 3 years.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Half of the white shirts have collars, so there are 40/2 = 20 white shirts with collars.\nThis means there are 40 - 20 = 20 white shirts with no collars.\n20 of the floral shirts have buttons, so there are 50 - 20 = 30 floral shirts with no buttons.\nTherefore, there are 30 - 20 = 10 more floral shirts with no buttons than white shirts with no collars.\n#### 10\nThe answer is: 10", "answer": {"result": 10.0}}, "matches": true} +{"solution": {"solution": "\n\nTo solve the problem, we first need to determine how many trays the farmer can fill with his 900 eggs. \n\n1. **Calculate the number of trays needed:**\n\n The tray holds 30 eggs each. To find out how many trays are needed for 900 eggs, we divide the total number of eggs by the number of eggs per tray:\n \\[\n \\text{Number of trays} = \\frac{900 \\text{ eggs}}{30 \\text{ eggs per tray}} = 30 \\text{ trays}\n \\]\n\n2. **Calculate the total earnings:**\n\n The farmer sells each tray for $2.5. To find the total earnings, we multiply the number of trays by the price per tray:\n \\[\n \\text{Total earnings} = 30 \\text{ trays} \\times \\$2.5 \\text{ per tray} = \\$75\n \\]\n\n3. **Conclusion:**\n\n The farmer will earn:\n \\[\n \\boxed{\\$75}\n \\]\n\n---\n\n#### Problem 2:\n\nA man has a set of $7$ distinct digits. He wants to form the smallest possible 7-digit number using these digits.\n\n1. **Identify the digits:**\n\n Assume the digits are arranged in ascending order, starting from the least significant digit (the rightmost digit) to the most significant digit (the leftmost digit).\n\n2. **Form the smallest number:**\n\n The smallest 7-digit number that can be formed using these digits is achieved by placing the smallest digit in the rightmost position, then the next smallest in the second-from-right position, and so on.\n\n3. **Example calculation:**\n\n Suppose the digits are $1, 2, 3, 4, 5, 6, 7$. The smallest 7-digit number formed would be:\n \\[\n 1234567\n \\]\n\n4. **Conclusion:**\n\n The smallest 7-digit number that can be formed using these digits is:\n \\[\n \\boxed{1234567}\n \\]\n\n---\n\n#### Problem 3:\n\nA man has $5$ distinct digits, and he wants to form the largest possible 5-digit number using these digits.\n\n1. **Identify the digits:**\n\n The digits are distinct and arranged in descending order for the largest possible number.\n\n2. **Form the largest number:**\n\n The largest 5-digit number that can be formed using these digits is achieved by placing the largest digit in the leftmost position, then the next largest in the second-from-left position, and so on.\n\n3. **Example calculation:**\n\n Suppose the digits are $8, 7, 6, 5, 4$. The largest 5-digit number formed would be:\n \\[\n 87654\n \\]\n\n4. **Conclusion:**\n\n The largest 5-digit number that can be formed using these digits is:\n \\[\n \\boxed{87654}\n \\]\n\n---\n\n#### Problem 4:\n\nA man has 7 distinct digits, and he wants to form the smallest possible 6-digit number using these digits.\n\n1. **Identify the digits:**\n\n The digits are distinct and arranged in ascending order for the smallest possible number.\n\n2. **Form the smallest number:**\n\n For a 6-digit number, we need to specify that the first digit must be non-zero (i.e., it cannot be zero). The smallest number is formed by placing the smallest digit in the rightmost position (which is $0$), then the next smallest in the second-from-right position, and so on.\n\n3. **Example calculation:**\n\n Suppose the digits are $1, 2, 3, 4, 5, 6, 7$. The smallest 6-digit number formed would be:\n \\[\n 123450\n \\]\n\n4. **Conclusion:**\n\n The smallest 6-digit number that can be formed using these digits is:\n \\[\n \\boxed{123450}\n \\]\n\n---\n\n#### Problem 5:\n\nA man has 7 distinct digits, and he wants to form the largest possible 6-digit number using these digits.\n\n1. **Identify the digits:**\n\n The digits are distinct and arranged in descending order for the largest possible number.\n\n2. **Form the largest number:**\n\n For a 6-digit number, we need to ensure the first digit is non-zero. The largest number is formed by placing the largest digit in the leftmost position, then the next largest in the second-from-left position, and so on.\n\n3. **Example calculation:**\n\n Suppose the digits are $8, 7, 6, 5, 4, 3, 2$. The largest 6-digit number formed would be:\n \\[\n 876543\n \\]\n\n4. **Conclusion:**\n\n The largest 6-digit number that can be formed using these digits is:\n \\[\n \\boxed{876543}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Mr. Smith has 55 goats in Farm X and 45 goats in Farm Y, so he has a total of 55 + 45 = 100 goats.\nHe sold 10 goats from Farm X, so he now has 55 - 10 = 45 goats left in Farm X.\nHe sold twice as many goats from Farm Y, so he sold 2 * 10 = 20 goats from Farm Y.\nTherefore, he now has 45 - 20 = 25 goats left in Farm Y.\nAltogether, Mr. Smith has 45 + 25 = 70 goats left in the two farms.\n#### 70\nThe answer is: 70", "answer": {"result": 70.0}}, "matches": true} +{"solution": {"solution": "James buys 2 pairs of shoes a month, so in a year, he buys 2 * 12 = 24 pairs of shoes.\nHe spends $2640 on shoes each year, so the average cost per pair of shoes is $2640 / 24 = $110.\nTherefore, James pays an average of $110 for each pair of shoes.\n#### 110\nThe answer is: 110", "answer": {"result": 110.0}}, "matches": true} +{"solution": {"solution": "If you buy 3 baskets of green food, you will have to pay 3 x $25 = $75. \n\nFor the red food, each basket costs $18, but you get $2 off for each, so each basket costs $18 - $2 = $16. \n\nIf you buy 3 baskets of red food, you will have to pay 3 x $16 = $48. \n\nIn total, you will have to pay $75 + $48 = $123. \n\n#### 123\nThe answer is: 123", "answer": {"result": 123.0}}, "matches": true} +{"solution": {"solution": "To find out how long it would take to clean one-half of the rooms, first determine the number of rooms that need to be cleaned:\n\n1. Calculate the number of rooms to be cleaned:\n \\[\n \\frac{90 \\text{ rooms}}{2} = 45 \\text{ rooms}\n \\]\n\n2. Knowing it takes 20 minutes to clean each room, calculate the total time for cleaning 45 rooms:\n \\[\n 20 \\text{ minutes/room} \\times 45 \\text{ rooms} = 900 \\text{ minutes}\n \\]\n\n3. Convert the total time in minutes to hours:\n \\[\n 900 \\text{ minutes} \\div 60 \\text{ minutes/hour} = 15 \\text{ hours}\n \\]\n\nThus, it would take $\\boxed{15}$ hours to clean one-half of the rooms.The answer is: 15", "answer": {"result": 15.0}}, "matches": true} +{"solution": {"solution": "In the first year, they build 12 homes.\nIn the second year, they build three times this many homes, so they build 12 x 3 = 36 homes.\nIn the third year, they count how many homes they have built and double the amount, so they have 12 + 36 = 48 homes.\nThen, they double this amount to get 48 x 2 = 96 homes.\nTherefore, the town will have built a total of 12 + 36 + 96 = 144 homes over the next three years.\n#### 144\nThe answer is: 144", "answer": {"result": 144.0}}, "matches": true} +{"solution": {"solution": "\n1. **Define Variables:**\n - Let \\( x \\) be your age.\n - Since you are three years younger than your brother, his age is \\( x + 3 \\).\n - Since you are two years older than your sister, her age is \\( x - 2 \\).\n - Let \\( m \\) be your mother's age.\n\n2. **Equation for Mother's Age:**\n Your mother's age is given by \\( m = 3(x + 3) - 1 \\).\n\n3. **Sum of All Ages:**\n The sum of your age, your brother's age, your sister's age, and your mother's age is 87:\n \\[\n x + (x + 3) + (x - 2) + m = 87\n \\]\n\n4. **Substitute Mother's Age:**\n Substitute the expression for \\( m \\) into the sum equation:\n \\[\n x + (x + 3) + (x - 2) + (3(x + 3) - 1) = 87 \n \\]\n\n5. **Simplify the Equation:**\n Combine like terms:\n \\[\n x + x + 3 + x - 2 + 3x + 9 - 1 = 87 \n \\]\n \\[\n 6x + 9 = 87 \n \\]\n\n6. **Solve for \\( x \\):**\n Isolate \\( x \\) by subtracting 9 from both sides:\n \\[\n 6x + 9 - 9 = 87 - 9 \n \\]\n \\[\n 6x = 78 \n \\]\n Divide both sides by 6:\n \\[\n x = \\frac{78}{6} \n \\]\n \\[\n x = 13 \n \\]\n\n### Conclusion:\nYour age is \\( \\boxed{13} \\) years old.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Mr. Jackson has 27 students and wants to give each student 2 glue sticks. Therefore, the total number of glue sticks needed is:\n\n27 students * 2 glue sticks per student = 54 glue sticks\n\nThe glue sticks come in packs of 8, so we need to determine how many packs of 8 will give us at least 54 glue sticks.\n\nTo find out how many packs are needed, we divide the total number of glue sticks by the number in each pack:\n\n54 glue sticks \u00f7 8 glue sticks per pack = 6.75 packs\n\nSince Mr. Jackson can only buy whole packs, he will need to buy 7 packs to have enough glue sticks for all the students.\n\n7 packs * 8 glue sticks per pack = 56 glue sticks\n\nThis results in $\\boxed{6}$ extra glue sticks, as Mr. Jackson only needs 54 glue sticks in total.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "On the second day, the amount of water passing through the river doubles, so it becomes 4000 gallons * 2 = 8000 gallons.\n\nOn the third day, the volume of water passing through the river increases by 6000 gallons, so it becomes 8000 gallons + 6000 gallons = 14000 gallons.\n\nTherefore, the total amount of water passing through the river at that point is 14000 gallons.\n#### 14000\nThe answer is: 14000", "answer": {"result": 14000.0}}, "matches": true} +{"solution": {"solution": "1. **Initial Condition**: On the first day, there are 10 infected people.\n2. **Infection Process**: Each infected person, in one day, infects 6 new people.\n3. **Day-by-day Calculation**:\n - **Day 1**: Each of the 10 people infects 6 others. The total new infections on Day 1 are:\n \\[\n 10 \\times 6 = 60\n \\]\n - **Day 2**: The total number of infected people at the end of Day 1 is \\(10 + 60 = 70\\). Each of these 70 people infects 6 new people. The total new infections on Day 2 are:\n \\[\n 70 \\times 6 = 420\n \\]\n - **Day 3**: The total number of infected people at the end of Day 2 is \\(70 + 420 = 490\\). Each of these 490 people infects 6 new people. The total new infections on Day 3 are:\n \\[\n 490 \\times 6 = 2940\n \\]\n4. **Total Infected People After Three Days**: Summing up the infections from all three days, we get:\n \\[\n 10 + 60 + 420 + 2940 = 3430\n \\]\n\nConclusion with boxed answer:\n\\[\n\\boxed{3430}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If each of the forty customers gave Rafaela a $20 tip, then Rafaela received 40 * $20 = $800 in tips.\nJulieta received 10% less money in tips than Rafaela, which means she received 10/100 * $800 = $80 less.\nSo Julieta received $800 - $80 = $720 in tips.\nAltogether, Rafaela and Julieta received $800 + $720 = $1520 in tips.\n#### 1520\nThe answer is: 1520", "answer": {"result": 1520.0}}, "matches": true} +{"solution": {"solution": "Jennifer gave her three daughters 2 oranges each, so that's 3 daughters x 2 oranges = 6 oranges.\n\nShe also gave her only son 3 oranges.\n\nSo in total, she gave away 6 oranges (to her daughters) + 3 oranges (to her son) = 9 oranges.\n\nJennifer originally bought 12 oranges. After giving away 9, she would have 12 - 9 = $\\boxed{3}$ oranges remaining.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Claire earns 1 badge per month, so in a year (12 months), she earns 1 * 12 = 12 badges.\n\nAmber takes twice as long as Claire to earn a badge, so she earns badges at a rate of 1/2 badges per month. In a year, Amber earns (1/2) * 12 = 6 badges.\n\nWendy earns three times the amount of badges as Claire in the same time frame, so she earns 3 * 12 = 36 badges in a year.\n\nTo find out how many more badges Wendy earns compared to Amber in a year, we subtract the number of badges Amber earns from the number of badges Wendy earns. \n\nWendy earns 36 badges - Amber's 6 badges = $\\boxed{30}$ more badges than Amber in a year.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Paige bakes banana bread loaves every hour from 1:00 PM - 6:00 PM, which is a total of 6 - 1 = 5 hours.\n\nIn one hour, she can bake 2 banana bread loaves. So in 5 hours, she can bake 5 * 2 = 10 banana bread loaves.\n\nEach banana bread loaf is cut into 8 slices, so 10 loaves will yield 10 * 8 = 80 slices.\n\nEach slice is sold for $0.50. Therefore, the total amount raised from selling all the slices is 80 * $0.50 = $\\boxed{\\$40}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Gretchen has 70 gold coins and there are 30 more gold coins than silver coins, then she has 70 - 30 = 40 silver coins.\n\nThe total number of coins Gretchen has is the sum of gold and silver coins, which is 70 gold coins + 40 silver coins = $\\boxed{110}$ coins in total.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If each student was given ten burritos, the total number of burritos given to the students is 50 students * 10 burritos/student = 500 burritos. \n\nMr. George ate 20 burritos, so the total number of burritos consumed is 500 burritos + 20 burritos = 520 burritos. \n\nGeorge ordered 600 burritos, so the number of leftover burritos is 600 burritos - 520 burritos = 80 burritos. \n\n#### 80\nThe answer is: 80", "answer": {"result": 80.0}}, "matches": true} +{"solution": {"solution": "The rink has 12 red cars. \n\nThey have 2 fewer green cars than red cars, so they have 12 - 2 = 10 green cars.\n\nThey have 3 times the number of blue cars as green cars, so they have 10 * 3 = 30 blue cars.\n\nTo find out how many yellow cars they have, we need to subtract the number of red, green, and blue cars from the total number of cars.\n\nTotal cars = Red cars + Green cars + Blue cars + Yellow cars\n75 = 12 + 10 + 30 + Yellow cars\n75 = 52 + Yellow cars\n\nNow, subtract 52 from both sides to solve for the number of yellow cars:\n\n75 - 52 = Yellow cars\nYellow cars = 23\n\nSo, the rink has $\\boxed{23}$ yellow cars.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote the number of books Fawn has as F.\nAccording to the problem, Anne has 12 fewer books than Fawn, so Anne has F - 12 books.\nSofie has 25 more books than Anne, so Sofie has (F - 12) + 25 books.\nThe total number of books they have together is 85, so we can write the equation: F + (F - 12) + ((F - 12) + 25) = 85.\nSimplifying the equation, we get 3F - 24 + 25 = 85.\nCombining like terms, we have 3F + 1 = 85.\nSubtracting 1 from both sides, we get 3F = 84.\nDividing both sides by 3, we find that F = 28.\nTherefore, Fawn has 28 books.\n#### 28\nThe answer is: 28", "answer": {"result": 28.0}}, "matches": true} +{"solution": {"solution": "First, we need to find the weight of the sweet potatoes. Since the sweet potatoes weigh 2 times as much as the potatoes, we calculate:\n\n2 times the weight of the potatoes = 2 * 5 pounds = 10 pounds\n\nNext, we need to find the weight of the carrots. The carrots weigh 3 pounds less than the sweet potatoes, so:\n\nWeight of carrots = Weight of sweet potatoes - 3 pounds\nWeight of carrots = 10 pounds - 3 pounds = 7 pounds\n\nTherefore, Daisy bought $\\boxed{7}$ pounds of carrots.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If a three-ounce box of jello makes 10 small jello cups, then each small jello cup is 3/10 = 0.3 ounces. \n\nGreg wants to make enough jello cups for 30 kids, and each kid needs 4 jello cups. So, he needs a total of 30 * 4 = 120 small jello cups.\n\nSince each small jello cup is 0.3 ounces, Greg will need 120 * 0.3 = 36 ounces of jello in total.\n\nIf a three-ounce box of jello is enough for 10 jello cups, then Greg will need 36/3 = 12 boxes of jello.\n\nSince each box of jello is on sale for $1.25, Greg will spend 12 * $1.25 = $15 on jello. \n\n#### 15\nThe answer is: 15", "answer": {"result": 15.0}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's break it down step by step:\n\n1. First, we calculate the total cost of the 5 phones. The cost per phone is $700, so the total cost is:\n\\[5 \\text{ phones} \\times \\$700/\\text{phone} = \\$3500\\]\n\n2. Next, we determine how much change the seller will give back. The seller gives $4000 in dollar bills, so we subtract the total cost of the phones from this amount:\n\\[\\$4000 - \\$3500 = \\$500\\]\n\nTherefore, the seller will give back $\\boxed{\\$500}$ in change.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, determine the amount Madeline pays. She pays 60% of the total grocery bill:\n\\[ 0.60 \\times 400 = 240 \\text{ dollars} \\]\n\nNext, find out how much Keenan pays by subtracting Madeline's contribution from the total:\n\\[ 400 - 240 = 160 \\text{ dollars} \\]\n\nTo find out how much Keenan spends per week, divide his monthly expenditure by the number of weeks in a month:\n\\[ \\frac{160}{4} = 40 \\text{ dollars per week} \\]\n\nThus, Keenan spends $\\boxed{40}$ dollars per week on groceries.The answer is: 40", "answer": {"result": 40.0}}, "matches": true} +{"solution": {"solution": "To find out how many pizza pieces Tobias has eaten so far, we follow these steps:\n\n1. **Calculate the number of pieces eaten on the first day.**\n\nTobias ate $2/5$ of the total pieces on the first day. The total number of pieces is 60. Thus, the calculation is:\n\\[ \\frac{2}{5} \\times 60 = 24 \\]\n\n2. **Calculate the remaining pieces after the first day.**\n\nAfter eating 24 pieces on the first day, the remaining pieces are:\n\\[ 60 - 24 = 36 \\]\n\n3. **Calculate the number of pieces eaten on the second day.**\n\nTobias ate 10 pieces on the second day.\n\n4. **Calculate the remaining pieces after the second day.**\n\nAfter eating 10 more pieces on the second day, the remaining pieces are:\n\\[ 36 - 10 = 26 \\]\n\n5. **Calculate the number of pieces eaten on the third day.**\n\nTobias ate $7/13$ of the remaining 26 pieces on the third day. The calculation is:\n\\[ \\frac{7}{13} \\times 26 = 14 \\]\n\n6. **Calculate the total number of pieces eaten so far.**\n\nTo find the total, we add the pieces eaten on each day:\n\\[ 24 + 10 + 14 = 48 \\]\n\nTherefore, Tobias has eaten a total of $\\boxed{48}$ pizza pieces so far.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, we start by understanding the cost per bottle for both soda and water. \n\n1. **Calculate the cost per bottle of soda:**\n - We know that 7 bottles of soda cost $21.00.\n - To find the cost per bottle, we divide the total cost by the number of bottles.\n - So, the cost per bottle of soda is $\\frac{21.00}{7} = 3.00$.\n\n2. **Calculate the cost per bottle of water:**\n - Similarly, 4 bottles of water cost $8.00.\n - To find the cost per bottle, we divide the total cost by the number of bottles.\n - So, the cost per bottle of water is $\\frac{8.00}{4} = 2.00$.\n\n3. **Calculate the total cost for 3 bottles of soda:**\n - Using the cost per bottle of soda we found, which is $3.00, we multiply this by 3.\n - So, the total cost for 3 bottles of soda is $3.00 \\times 3 = 9.00$.\n\n4. **Calculate the total cost for 2 bottles of water:**\n - Using the cost per bottle of water we found, which is $2.00, we multiply this by 2.\n - So, the total cost for 2 bottles of water is $2.00 \\times 2 = 4.00$.\n\n5. **Calculate the total cost for both soda and water:**\n - To find the total cost for both items, we add the costs together.\n - So, the total cost is $9.00 + 4.00 = 13.00$.\n\nTherefore, the total cost for 3 bottles of soda and 2 bottles of water is $\\boxed{13.00}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how much money David has left after buying the bolts, we first need to calculate the total cost of the bolts. \n\n1. Calculate the total cost of the bolts:\n - Each bolt costs $0.03, and David wants to buy 16 bolts.\n - Total cost = Number of bolts \u00d7 Cost per bolt\n - Total cost = 16 \u00d7 $0.03 = $0.48\n\n2. Subtract the total cost of the bolts from David's initial amount:\n - David has $12.48 initially.\n - Money left after buying bolts = Initial amount - Total cost\n - Money left = $12.48 - $0.48 = $12.00\n\nTherefore, after paying for the bolts, David has $12.00 left.\n\nAnswer:\n\n\\[\n\\boxed{12.00}\n\\]\n\nConclusion:\nDavid now has $12.00 remaining after purchasing 16 bolts at $0.03 each.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Ella earns $33 for 3 hours of dog walking, so she earns $33/3 = $11 per hour.\nIf she continues to walk dogs at the same rate, she would earn $11 per hour.\nAfter 12 hours of dog walking, she would earn $11 x 12 = $132.\nTherefore, she would earn $132 after 12 hours.\n#### 132\nThe answer is: 132", "answer": {"result": 132.0}}, "matches": true} +{"solution": {"solution": "\nPaul originally had 52 marbles. \nHis friend gave him 28 marbles, so he then had 52 + 28 = 80 marbles. \nHe lost 1/4 of his marbles, which is 1/4 * 80 = 20 marbles. \nTherefore, Paul has 80 - 20 = 60 marbles left. \n#### 60\nThe answer is: 60", "answer": {"result": 60.0}}, "matches": true} +{"solution": {"solution": "To calculate Amy's total score, we need to find out how many questions she answers correctly in each category and then multiply the number of correct answers by the points they are worth.\n\n1. **Multiple-choice questions:**\n - Amy correctly answers $80\\%$ of 10 questions.\n - This is $0.8 \\times 10 = 8$ questions.\n - Each multiple-choice question is worth 1 point, so Amy scores $8 \\times 1 = 8$ points from multiple-choice questions.\n\n2. **True/False questions:**\n - Amy correctly answers $90\\%$ of 20 questions.\n - This is $0.9 \\times 20 = 18$ questions.\n - Each true/false question is worth 1 point, so Amy scores $18 \\times 1 = 18$ points from true/false questions.\n\n3. **Long-answer questions:**\n - Amy correctly answers $60\\%$ of 5 questions.\n - This is $0.6 \\times 5 = 3$ questions.\n - Each long-answer question is worth 5 points, so Amy scores $3 \\times 5 = 15$ points from long-answer questions.\n\n4. **Total score:**\n - Amy's total score is the sum of the points from all categories.\n - This is $8 + 18 + 15 = 41$ points.\n\nTherefore, Amy's total score on the test is $41$ points.\n\nFinal Answer:\n\n$\\boxed{41}$", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nIsaias plans to sell 3/5 of his 300 chickens, which is (3/5) * 300 = 180 chickens.\n\nTo make a profit of $2000, Isaias will sell each chicken for $50.\n\nSo, the total revenue from selling 180 chickens is 180 * $50 = $9000.\n\nTo calculate how much Isaias bought the chickens for, we subtract the profit from the total revenue:\n\n$9000 - $2000 = $7000.\n\nTherefore, Isaias bought the chickens he took to the market for sale for $7000.\n\n#### 7000\nThe answer is: 7000", "answer": {"result": 7000.0}}, "matches": true} +{"solution": {"solution": "Let's denote the number of glasses each boy sold as x. Since Julie sold 14 glasses and the boys sold an equal number of glasses, we have:\n\nJulie's glasses + Micah's glasses + Mitchell's glasses = Total glasses sold\n14 + x + x = 32\n\nCombining the x terms, we get:\n2x + 14 = 32\n\nSubtracting 14 from both sides, we have:\n2x = 18\n\nDividing both sides by 2, we find:\nx = 9\n\nSo, each boy sold 9 glasses of lemonade. To find out how many more glasses Julie sold than Micah, we subtract the number of glasses Micah sold from the number Julie sold:\n\nJulie's glasses - Micah's glasses = 14 - 9 = 5\n\nJulie sold $\\boxed{5}$ more glasses than Micah.The answer is: 5", "answer": {"result": 5.0}}, "matches": true} +{"solution": {"solution": "Iris spent $400 on her hair. \n\nFor a manicure, she spent 1/4 as much as she did on her hair, so:\n1/4 * $400 = $100\n\nFor a pedicure, she spent 3/4 as much as she did on a manicure, so:\n3/4 * $100 = $75\n\nTo find the total amount spent at the spa, we add the costs of hair, manicure, and pedicure:\n$400 (hair) + $100 (manicure) + $75 (pedicure) = $575\n\nIris spent a total of $\\boxed{\\$575}$ at the spa.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total cost of the rope for Sarah's friend. The rope is 20 meters long and costs $2 a meter, so the total cost is:\n\n20 meters * $2/meter = $40\n\nNow, let's calculate how much Sarah will have left after selling the rope. Since she sells it for $40, she will have:\n\n$40 (from selling the rope)\n\nNext, let's calculate the cost of the new rope for Sarah. The new rope costs $1.5 a meter, and since we don't know the length of the new rope, we'll assume it's the same length as the old one (20 meters) for the purpose of this calculation:\n\n20 meters * $1.5/meter = $30\n\nFinally, let's calculate how much money Sarah will have left over after buying the new rope:\n\n$40 (from selling the old rope) - $30 (cost of the new rope) = $10\n\nSarah will have $\\boxed{\\$10}$ left over after buying the new rope.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. Given that in 10 years, Melanie will be 18 years old, we first determine her current age. \n \\[\n \\text{Current age of Melanie} = 18 - 10 = 8 \\text{ years}\n \\]\n\n2. Let \\( x \\) be the number of years from now when Melanie's age will be three times her current age. We set up the equation based on this condition:\n \\[\n 8 + x = 3 \\times 8\n \\]\n\n3. Simplify and solve for \\( x \\):\n \\[\n 8 + x = 24\n \\]\n \\[\n x = 24 - 8 \n \\]\n \\[\n x = 16\n \\]\n\n4. Conclusion: In 16 years, Melanie's age will be three times her current age.\n\n\\[\n\\boxed{16}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total cost of the chicken packets. Since each packet costs twice as much as a pack of bacon, and each pack of bacon costs $2 (since 5 packs cost $10), each packet of chicken costs $2 * 2 = $4. \n\nWith 6 packets of chicken, the total cost is 6 packets * $4/packet = $24.\n\nNext, let's calculate the total cost of the strawberries. Each pack costs $4, and she has 3 packs, so the total cost is 3 packs * $4/pack = $12.\n\nNow, let's calculate the total cost of the apples. Each pack costs half the price of a pack of strawberries, so each pack of apples costs $4 / 2 = $2. \n\nWith 7 packs of apples, the total cost is 7 packs * $2/pack = $14.\n\nNow, let's add up the total cost of all the items:\n\nCost of bacon: $10\nCost of chicken: $24\nCost of strawberries: $12\nCost of apples: $14\n\nTotal cost = $10 + $24 + $12 + $14 = $60\n\nKelly's budget is $65, so to find out how much she has left, we subtract the total cost from her budget:\n\n$65 - $60 = $5\n\nKelly has $\\boxed{\\$5}$ left in her budget.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The final concert is twice as long as her usual concerts, so if we let x represent the runtime of her usual concerts, then the final concert is 2x minutes long.\n\nThe final concert includes the 15-minute encore, so the total runtime of the final concert is 2x + 15 minutes.\n\nWe know that the runtime of the final concert is 65 minutes, so we can set up the equation:\n\n2x + 15 = 65\n\nNow, we can solve for x by subtracting 15 from both sides of the equation:\n\n2x = 65 - 15\n2x = 50\n\nNext, we divide both sides by 2 to solve for x:\n\nx = 50 / 2\nx = 25\n\nTherefore, her usual concerts run for 25 minutes.\n\n#### 25\nThe answer is: 25", "answer": {"result": 25.0}}, "matches": true} +{"solution": {"solution": "Argo starts with 200 toys. He gives away a total of 40 + 80 + 30 = 150 toys. \n\nTo find out how many toys Argo has now, we subtract the number of toys he gave away from the original number:\n\n200 - 150 = 50\n\nArgo has $\\boxed{50}$ toys now.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "On Tuesday, the Ben and Aggie Burrito Shop makes 125 chimichangas.\nOn Wednesday, they also make 125 chimichangas.\nOn Friday, they make twice as many as on Tuesday and Wednesday, so they make 2 * 125 = 250 chimichangas.\nTo find the total number of chimichangas made on those three days, we add the numbers together: 125 + 125 + 250 = 500.\n#### 500\nThe answer is: 500", "answer": {"result": 500.0}}, "matches": true} +{"solution": {"solution": "\n1. **Calculate the number of microphones that don't fit in pairs:**\n\n Given that the singer has 50 microphones, and 20% of these do not fit into pairs, we first calculate this amount:\n \\[\n 50 \\times 0.20 = 10 \\text{ microphones}\n \\]\n Thus, 10 microphones cannot be paired.\n\n2. **Determine the number of microphones available for pairing:**\n\n Subtract the unpaired microphones from the total number of microphones:\n \\[\n 50 - 10 = 40 \\text{ microphones}\n \\]\n Therefore, there are 40 microphones available for pairing.\n\n3. **Calculate the number of pairs:**\n\n Since each pair consists of 2 microphones, we divide the number of available microphones by 2:\n \\[\n \\frac{40}{2} = 20 \\text{ pairs}\n \\]\n\n### Conclusion:\n\nThe number of pairs of microphones that the singer was able to arrange on the stage is:\n\n\\[\n\\boxed{20}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Jerry counts 6 birds nesting in the bushes. \nHe also counts 2/3 * 6 = 4 birds flying overhead. \nThere are 3 groups of 8 birds each feeding, so 3 * 8 = 24 birds feeding. \nIn total, Jerry counts 6 + 4 + 24 = 34 birds. \n\n#### 34\nThe answer is: 34", "answer": {"result": 34.0}}, "matches": true} +{"solution": {"solution": "\nTo find out how many cookies were in each jar, we first need to determine how many cookies were left after Lani ate 5. \n\nLani started with 55 cookies and ate 5, so she had:\n\n55 - 5 = 50 cookies left.\n\nNext, she placed these 50 cookies equally into 5 jars. To find out how many cookies were in each jar, we divide the total number of cookies by the number of jars:\n\n50 \u00f7 5 = 10 cookies per jar.\n\nSo, there were $\\boxed{10}$ cookies in each jar.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nEach orchid has 5 petals, so 5 orchids have a total of 5 * 5 = 25 petals.\n\nEach African daisy has 10 petals, so 4 African daisies have a total of 4 * 10 = 40 petals.\n\nThe daisies have 40 - 25 = 15 more petals than the orchids.\n\n#### 15\nThe answer is: 15", "answer": {"result": 15.0}}, "matches": true} +{"solution": {"solution": "One-fourth of the plants are indoor plants, which is 100 * 1/4 = 25 plants.\n\nThe remaining plants are 100 - 25 = 75 plants.\n\nTwo-thirds of these remaining plants are outdoor plants, which is 75 * 2/3 = 50 plants.\n\nThe rest are flowering plants, which is 75 - 50 = 25 plants.\n\nTo find the percentage of flowering plants, we divide the number of flowering plants by the total number of plants and multiply by 100:\n\n(25 / 100) * 100 = 25%\n\nSo, 25% of the plants are flowering plants.\n\n$25$ percent of the plants are flowering plants.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, we start by defining the speeds of the different spinning objects in terms of the speed of a thingamabob, which we'll denote as $x$ meters per second. \n\n1. A whatchamacallit spins at $11x$ meters per second, and given that a whatchamacallit spins at 121 meters per second, we can set up the equation:\n\\[11x = 121\\]\n\n2. Solving for $x$, we divide both sides by 11:\n\\[x = \\frac{121}{11} = 11\\]\n\n3. With $x$ known, we can now find the speed of a whirligig. A whirligig spins at five times the speed of a thingamabob, so its speed is:\n\\[5x = 5 \\times 11 = 55\\]\n\nTherefore, a whirligig spins at $\\boxed{55}$ meters per second.The answer is: 55", "answer": {"result": 55.0}}, "matches": true} +{"solution": {"solution": "Let's denote the cost of one carrot as C dollars. \n\nEllen eats two carrots every day, so the total cost for the carrots is 2C dollars.\n\nThe salad costs her $6, and the yogurt is half the price, so the yogurt costs 6/2 = $3.\n\nThe total cost of the salad and yogurt combined is 6 + 3 = $9.\n\nEllen pays $11 in total for her goods, so the cost of the carrots must be the remaining amount after subtracting the cost of the salad and yogurt from the total.\n\n2C = 11 - 9\n2C = 2\n\nNow, divide both sides by 2 to find the cost of one carrot:\n\nC = 2 / 2\nC = $1\n\nTherefore, Ellen pays $\\$1$ for one carrot every day.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Mark works 8 hours a day for 5 days a week, so he works a total of 8 x 5 = 40 hours in a week. \n\nHis pay was $10 per hour, but it was raised by $2 per hour, so his new pay rate is $10 + $2 = $12 per hour. \n\nTo calculate his weekly pay, we multiply his hourly rate by the number of hours he works: $12 x 40 = $480. \n\nMark makes $\\boxed{\\$480}$ a week.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote the number of times Tasha mowed Joe's lawn as J. \n\nFrom the problem, we know that Tasha mowed Kamala's lawn 3 times as many times as she did Joe's, so she mowed Kamala's lawn 3J times. \n\nShe also mowed Alba's lawn 5 times as many times as she did Joe's, so she mowed Alba's lawn 5J times.\n\nThe total amount Tasha made from mowing lawns is the sum of what she made from each lawn. Since Joe paid her $6, we can assume that this is the amount she made for mowing Joe's lawn J times.\n\nSo, the total amount from mowing lawns is:\n6J (from Joe's lawn) + 3J (from Kamala's lawn) + 5J (from Alba's lawn)\n\nThis simplifies to:\n6J + 3J + 5J = 14J\n\nWe know that the total amount Tasha made from selling lemonade and mowing lawns was $80. If we let L be the amount she made from lemonade sales, then:\n\nL + 14J = 80\n\nWe already know that 14J is the amount she made from mowing lawns, which is $6 per mowing session multiplied by the number of times she mowed Joe's lawn. Since we know Joe paid her $6 for one mowing session, 14J represents the total amount she made from mowing all three lawns.\n\nSo, we can calculate 14J as follows:\n14J = 14 * 6 = $84\n\nHowever, this calculation shows that the total amount from mowing lawns is $84, which is not possible since the total amount Tasha made was $80. There seems to be a mistake in the calculation. Let's correct it:\n\n14J = 14 * 6 = $84 (This is incorrect, as we know the total earnings were $80)\n\nThe correct calculation should be:\n14J = 14 * 6 = $84 (This is still incorrect, as we know the total earnings were $80)\n\nLet's re-evaluate the calculation:\n\n14J = 14 * 6 = $84 (This is still incorrect, as we know the total earnings were $80)\n\nIt appears there was a misunderstanding in the calculation. Let's correct it:\n\n14J = 14 * 6 = $84 (This is still incorrect, as we know the total earnings were $80)\n\nThe correct calculation should be:\n\n14J = 14 * 6 = $84 is incorrect because it exceeds the total earnings of $80. The correct calculation should be:\n\n14J = 14 * 6 = $84 (This is still incorrect, as we know the total earnings were $80)\n\nThe correct approach to find 14J is to use the total earnings and subtract the amount from Joe's lawn:\n\n80 (total earnings) - 6 (Joe's lawn) = 74\n\nNow, we divide this by 14 to find the number of times Tasha mowed Joe's lawn:\n\n74 / 14 = 5.2857... (approximately)\n\nSince Tasha can't mow a fraction of a lawn, we round down to the nearest whole number:\n\nJ = 5 (Tasha mowed Joe's lawn 5 times)\n\nNow we can calculate the total amount from mowing lawns:\n\n14J = 14 * 5 = $70\n\nFinally, we can find out how much Tasha made from lemonade sales:\n\nL = Total earnings - Amount from mowing lawns\nL = 80 - 70 = $10\n\nTasha made $\\boxed{\\$10}$ from lemonade sales.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Find Carl's weight:**\n - Carl's weight is given as $16 \\, \\text{kg}$ more than Martin's weight.\n - Martin's weight is $55 \\, \\text{kg}$.\n - Therefore, Carl's weight is:\n \\[\n 55 \\, \\text{kg} + 16 \\, \\text{kg} = 71 \\, \\text{kg}\n \\]\n\n2. **Find Christian's weight:**\n - Christian's weight is given as $8 \\, \\text{kg}$ more than Carl's weight.\n - Carl's weight is $71 \\, \\text{kg}$.\n - Therefore, Christian's weight is:\n \\[\n 71 \\, \\text{kg} + 8 \\, \\text{kg} = 79 \\, \\text{kg}\n \\]\n\n3. **Find Harry's weight:**\n - Harry's weight is given as $5 \\, \\text{kg}$ less than Christian's weight.\n - Christian's weight is $79 \\, \\text{kg}$.\n - Therefore, Harry's weight is:\n \\[\n 79 \\, \\text{kg} - 5 \\, \\text{kg} = 74 \\, \\text{kg}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{74}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "John rents his car out 10 times a month for 3 hours each time, so he rents it out for a total of 10 * 3 = 30 hours a month.\n\nHe gets paid $25 an hour, so his total earnings from renting out his car per month are 30 * $25 = $750.\n\nHis car payment is $500, so his profit is his total earnings minus his car payment: $750 - $500 = $250.\n\nJohn makes a profit of $\\boxed{\\$250}$ on his car each month.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nIf Martha bought 5 more notebooks, she now has a total of 7 notebooks. This means before buying more, she had 7 - 5 = 2 notebooks.\n\nSince Joseph had 3 times as many notebooks as Martha before Martha bought more, Joseph had 3 * 2 = 6 notebooks.\n\nAfter Martha bought 5 more notebooks, she now has 7 notebooks, which is 7 - 6 = 1 more notebook than Joseph.\n\nSo, Martha now has 1 more notebook than Joseph.\n\nAnswer:\n\nMartha now has 1 more notebook than Joseph.\n\n4.\n\n####\n\n4. A wholesaler wants to know how many cans of soup the company needs to make so that they can be placed in trays that hold 24 cans each for distribution to retailers. If the wholesaler wants to send 55 trays of soup cans, how many cans of soup are they going to need?\n\nTo find out how many cans of soup the company needs, we need to multiply the number of trays by the number of cans each tray can hold:\n\n55 trays * 24 cans per tray = 1320 cans\n\nSo, the company needs 1320 cans of soup.\n\nAnswer:\n\nThe company needs 1320 cans of soup.\n\n5.\n\n####\n\n5. A student is taking a 100-question test where each question has four options, and the student guesses the answer randomly for every question. What is the probability that the student will guess exactly 25 questions correctly?\n\nSince each question has four options and the student guesses randomly, the probability of guessing a question correctly is 1/4 or 0.25. The probability of guessing a question incorrectly is 1 - 0.25 = 0.75.\n\nThe student needs to guess exactly 25 questions correctly out of 100. We can use the binomial probability formula to calculate this:\n\nP(X = k) = (n choose k) * p^k * (1-p)^(n-k)\n\nwhere n is the number of trials (questions), k is the number of successful trials (correct answers), and p is the probability of success (guessing correctly).\n\nIn this case, n = 100, k = 25, and p = 0.25.\n\nFirst, we calculate (100 choose 25):\n\n(100 choose 25) = 100! / (25! * (100 - 25)!) = 100! / (25! * 75!)\n\nNow, we can calculate the probability:\n\nP(X = 25) = (100 choose 25) * (0.25)^25 * (0.75)^75\n\nUsing a calculator, we find:\n\nP(X = 25) \u2248 0.1052\n\nSo, the probability that the student will guess exactly 25 questions correctly is approximately 0.1052 or 10.52%.\n\nAnswer:\n\nThe probability that the student will guess exactly 25 questions correctly is approximately 0.1052 or 10.52%.\n\n6.\n\n####\n\n6. A party store is offering a deal where customers can buy 3 balloons for the price of 2, and latex balloons are priced at $1 each while foil balloons are priced at $3 each. If a customer buys a total of 6 balloons, how many of each type could they have bought?\n\nLet's denote the number of latex balloons as L and the number of foil balloons as F.\n\nWe have two equations based on the given information:\n\n1. The total number of balloons is 6:\nL + F = 6\n\n2. The customer bought 3 latex balloons for the price of 2 (since 3 latex balloons cost the same as 2 foil balloons, and foil balloons are priced at $3 each while latex balloons are priced at $1 each):\n3L = 2F\n\nNow, we can solve this system of equations. From the second equation, we can express F in terms of L:\n\nF = (3/2)L\n\nSubstitute this expression into the first equation:\n\nL + (3/2)L = 6\n\nCombine like terms:\n\n(5/2)L = 6\n\nMultiply both sides by 2/5 to solve for L:\n\nL = 6 * (2/5) = 12/5 = 2.4\n\nSince the number of balloons must be a whole number, we round L to the nearest whole number, which is 2.\n\nNow, substitute L = 2 into the expression for F:\n\nF = (3/2) * 2 = 3\n\nSo, the customer could have bought 2 latex balloons and 3 foil balloons.\n\nAnswer:\n\nThe customer could have bought 2 latex balloons and 3 foil balloons.\n\n7.\n\n####\n\n7. A carpenter is building a wooden frame for a window. The window frame requires 4 horizontal pieces and 4 vertical pieces, each with a length of 10 feet. The carpenter has a piece of wood that is 12 feet long. If the carpenter cuts this piece into two equal parts, how many pieces can they cut that will be long enough to use for the window frame without any waste?\n\nThe carpenter has a piece of wood that is 12 feet long and wants to cut it into two equal parts. Each part will be 12 / 2 = 6 feet long.\n\nThe window frame requires 4 horizontal pieces and 4 vertical pieces, each with a length of 10 feet. However, the carpenter only has pieces that are 6 feet long.\n\nSince the required length for each piece is 10 feet and the carpenter can only cut pieces that are 6 feet long, the carpenter cannot cut any pieces that will be long enough to use for the window frame without any waste.\n\nAnswer:\n\nThe carpenter cannot cut any pieces that will be long enough to use for the window frame without any waste.\n\n8.\n\n####\n\n8. A sports team has 12 players, and they want to form a line for a team photo. The team captain decides that the tallest player should be in the middle of the line. If the players' heights are different, how many different ways can the team arrange themselves in a line with the tallest player in the middle?\n\nFirst, we need to place the tallest player in the middle of the line. Since there are 12 players, there are 12 - 1 = 11 positions left to fill on either side of the tallest player.\n\nFor the remaining 11 players, we need to arrange them in 6 pairs (since the tallest player is already in the middle, we only need to consider the remaining 11 players). The number of ways to arrange 11 players in 6 pairs is given by the permutation formula for arranging n items in r groups:\n\nn! / (r! * (n - r)!)\n\nIn this case, n = 11 (the remaining players) and r = 6 (the pairs).\n\nCalculate the number of arrangements:\n\n11! / (6! * (11 - 6)!) = 11! / (6! * 5!)\n\nNow, calculate the factorials:\n\n11! = 11 * 10 * 9 * 8 * 7 * 6!\n5! = 5 * 4 * 3 * 2 * 1\n\nSubstitute these values into the formula:\n\n(11 * 10 * 9 * 8 * 7 * 6!) / (6! * 5 * 4 * 3 * 2 * 1)\n\nThe 6! terms cancel out, and we are left with:\n\n(11 * 10 * 9 * 8 * 7) / (5 * 4 * 3 * 2 * 1)\n\nCalculate the remaining factorials:\n\n5! = 120\n\nSo, the number of arrangements is:\n\n(11 * 10 * 9 * 8 * 7) / 120\n\nNow, simplify the fraction:\n\n(11 * 10 * 9 * 8 * 7) / 120 = 55440 / 120 = 462\n\nTherefore, there are 462 different ways the team can arrange themselves in a line with the tallest player in the middle.\n\nAnswer:\n\nThere are 462 different ways the team can arrange themselves in a line with the tallest player in the middle.\n\n9.\n\n####\n\n9. A bookstore is having a sale where all books are 30% off the original price. If a customer buys a book for $20 after the discount, what was the original price of the book before the discount?\n\nLet x be the original price of the book.\n\nAfter applying the 30% discount, the customer pays 70% of the original price:\n\n0.7x = $20\n\nNow, solve for x:\n\nx = $20 / 0.7\nx = $28.57 (rounded to two decimal places)\n\nSo, the original price of the book before the discount was approximately $28.57.\n\nAnswer:\n\nThe original price of the book before the discount was approximately $28.57.\n\n10.\n\n####\n\n10. A family wants to rent a beach house for a week-long vacation. The rental agency offers a 25% discount for bookings made at least 60 days in advance. The family plans to book 2 weeks (14 days) in advance. If the original rental price for the week is $2,500, what will be the final cost of the rental after applying the discount?\n\nFirst, we need to determine if the family is eligible for the 25% discount since they are booking 14 days in advance (which is more than 60 days). Since the booking is made more than 60 days in advance, the family is eligible for the discount.\n\nNow, calculate the discount amount:\n\n25% of $2,500 = 0.25 * $2,500 = $625\n\nSubtract the discount from the original price to find the final cost:\n\n$2,500 - $625 = $1,875\n\nSo, the final cost of the rental after applying the discount will be $1,875.\n\nAnswer:\n\nThe final cost of the rental after applying the discount will be $1,875.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Dijana rowed for 50 miles.\n\nAnis rowed 1/5 times more miles than Dijana, which is 1/5 * 50 = 10 miles more.\n\nSo, Anis rowed 50 + 10 = 60 miles.\n\nThe total distance the two of them rowed is 50 + 60 = 110 miles.\n\n#### 110\nThe answer is: 110", "answer": {"result": 110.0}}, "matches": true} +{"solution": {"solution": "Susan made 100 cookies and her husband snuck 4, so there are 100 - 4 = 96 cookies left for the nephews.\n\nSusan has 6 nephews and she wants to divide the 96 cookies equally among them. \n\nTo find out how many cookies each nephew will get, we divide the number of cookies by the number of nephews:\n\n96 cookies \u00f7 6 nephews = 16 cookies per nephew.\n\nSo, each of Susan's nephews will get $\\boxed{16}$ cookies.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Yesterday, Denise read 10 pages, and Daniel read 13 pages. The difference in the number of pages they read yesterday is 13 - 10 = 3 pages.\n\nToday, Denise read 5 more than as many pages as Daniel read yesterday, which means Denise read 13 + 5 = 18 pages today.\n\nDaniel did not read any pages today, so the difference in the number of pages they read today is 18 - 0 = 18 pages.\n\nTo find out how many more pages Denise read than Daniel overall, we add today's difference to yesterday's difference: 3 (yesterday) + 18 (today) = 21 pages.\n\nDenise read $\\boxed{21}$ more pages than Daniel overall.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Calvin has enough soup to fill 4 adult bowls or 8 child bowls.\n\nSince Calvin, his wife, and their two children are all adults, they will each eat one bowl. That's a total of 4 bowls (1 bowl each for 4 people).\n\nThe soup can also fill 8 child bowls, but since the children are full-sized adults for the purpose of this soup, they will each eat one bowl as well.\n\nSo, 4 bowls are eaten by the adults, and since the soup can fill 8 child bowls, there is no leftover soup for the children to have multiple bowls.\n\nThe children can only have 1 bowl each, just like the adults. Therefore, each child will have $\\boxed{1}$ bowl of soup for lunch from the leftovers.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "William bought five notebooks, so he spent 5 * $1.50 = $7.50 on notebooks.\nHe also bought a ballpen for $0.50.\nTherefore, William spent a total of $7.50 + $0.50 = $8.00.\n#### 8\nThe answer is: 8", "answer": {"result": 8.0}}, "matches": true} +{"solution": {"solution": "To determine the amount of material Jo needs to make 20 small and 8 large masks, we need to calculate the total material required for each type of mask and then sum them up.\n\nFor small masks:\n1. Jo can make 4 small masks with 2 yards of material.\n2. To find out how much material is needed for one small mask, we divide the total material by the number of small masks: $2 \\text{ yards} \\div 4 \\text{ masks} = 0.5 \\text{ yards per mask}$.\n3. Therefore, for 20 small masks, the total material needed is $20 \\text{ masks} \\times 0.5 \\text{ yards per mask} = 10 \\text{ yards}$.\n\nFor large masks:\n1. Jo can make 3 large masks with 2.25 yards of material.\n2. To find out how much material is needed for one large mask, we divide the total material by the number of large masks: $2.25 \\text{ yards} \\div 3 \\text{ masks} = 0.75 \\text{ yards per mask}$.\n3. Therefore, for 8 large masks, the total material needed is $8 \\text{ masks} \\times 0.75 \\text{ yards per mask} = 6 \\text{ yards}$.\n\nTo find the total material needed for both small and large masks:\n1. Add the material needed for small masks to the material needed for large masks: $10 \\text{ yards} + 6 \\text{ yards} = 16 \\text{ yards}$.\n\nTherefore, Jo would need $\\boxed{16}$ yards of material to make 20 small and 8 large masks.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the average price Deepa paid per ticket, we first need to determine the total number of tickets she bought. Since she saw each of the 9 Fast and the Furious movies three times, she bought a total of 9 * 3 = 27 tickets. \n\nGiven that she spent $216 on these tickets, we can calculate the average price per ticket by dividing the total amount spent by the total number of tickets:\n\nAverage price per ticket = Total amount spent / Total number of tickets \n= $216 / 27 \n= $8\n\nTherefore, Deepa paid an average of $8 per ticket.\n\nThe final answer is $\\boxed{8}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Harold sleeps for 10 hours a night. \n\nHe works 2 hours less than he sleeps, so he works for 10 - 2 = 8 hours.\n\nHe walks his dog for 1 hour each day.\n\nSo, his total time spent on sleep, work, and walking his dog is 10 + 8 + 1 = 19 hours.\n\nThere are 24 hours in a day.\n\nTherefore, Harold has 24 - 19 = 5 hours of free time left in his day.\n\n#### 5\nThe answer is: 5", "answer": {"result": 5.0}}, "matches": true} +{"solution": {"solution": "Tim has 7 blue shoe boxes. He uses 3 blue shoe boxes for fishing, so he has 7 - 3 = 4 blue shoe boxes left.\n\nTim has 9 red shoe boxes. He uses 1/3 of the red shoe boxes for fishing, which is 1/3 * 9 = 3 red shoe boxes.\n\nSo, Tim has 9 - 3 = 6 red shoe boxes left.\n\nIn total, Tim has 4 blue shoe boxes and 6 red shoe boxes left in his box. \n\n4 blue shoe boxes + 6 red shoe boxes = $\\boxed{10}$ shoe boxes left.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Sarah has 9 books. \nJoseph had twice the number of Sarah's books, so he originally had 9 x 2 = 18 books. \nBut he lost 2 books, so he currently has 18 - 2 = 16 books. \n#### 16\nThe answer is: 16", "answer": {"result": 16.0}}, "matches": true} +{"solution": {"solution": "1. Dean starts with 30 marbles. \n2. He gives \\(\\frac{1}{5}\\) of his marbles to Jamie. To find out how many marbles Dean gives to Jamie, calculate:\n \\[\n \\frac{1}{5} \\times 30 = 6 \\text{ marbles}\n \\]\n3. Dean also gives 10 marbles to Donald.\n4. To determine how many marbles Dean has left, subtract the marbles given to Jamie and Donald from the initial amount:\n \\[\n 30 - 6 - 10 = 14 \\text{ marbles}\n \\]\n\nConclusion:\nDean has \\(\\boxed{14}\\) marbles left.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Determine Duncan's age eight years ago**:\n Duncan's current age is given as 60 years. Therefore, eight years ago, Duncan's age was:\n \\[\n 60 - 8 = 52 \\text{ years}\n \\]\n\n2. **Set up the relationship with Adam's age**:\n According to the problem, Duncan's age eight years ago was two times Adam's age four years ago. Let Adam's age four years ago be denoted by \\( x \\). So, we have:\n \\[\n 52 = 2 \\times x\n \\]\n\n3. **Solve for Adam's age four years ago**:\n Solving the equation \\( 52 = 2 \\times x \\) for \\( x \\):\n \\[\n x = \\frac{52}{2} = 26 \\text{ years}\n \\]\n This means Adam was 26 years old four years ago.\n\n4. **Calculate Adam's current age**:\n To find Adam's current age, add 4 years to his age four years ago:\n \\[\n 26 + 4 = 30 \\text{ years}\n \\]\n\n5. **Determine Adam's age in 8 years**:\n To find Adam's age in 8 years, add 8 years to his current age:\n \\[\n 30 + 8 = 38 \\text{ years}\n \\]\n\n### Conclusion:\nAdam will be 38 years old in 8 years.\n\n\\[\n\\boxed{38}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, we need to find the size of Farmer Smith's farm. According to the problem, Farmer Smith's farm is 100 acres more than twice the size of Farmer Brown's farm. \n\n1. Calculate 200 acres, which is the size of Farmer Brown's farm, multiplied by 2:\n \\[\n 2 \\times 200 = 400 \\text{ acres}\n \\]\n\n2. Add 100 acres to this result to find the total size of Farmer Smith's farm:\n \\[\n 400 + 100 = 500 \\text{ acres}\n \\]\n\n3. Now, add the size of both farms together:\n \\[\n 200 + 500 = 700 \\text{ acres}\n \\]\n\nTherefore, the total acres of Farmer Brown's and Farmer Smith's farms together is $\\boxed{700}$ acres.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Colby completes 10 less than 50 packages per hour, which means he completes 50 - 10 = 40 packages per hour.\n\nIn an eight-hour workday, he would complete 40 packages/hour * 8 hours = 320 packages.\n\nSince he earns $0.20 for every package, his earnings for the day would be 320 packages * $0.20/package = $64.\n\nTherefore, Colby earns $\\boxed{\\$64}$ in a typical eight-hour workday.The answer is: 64", "answer": {"result": 64.0}}, "matches": true} +{"solution": {"solution": "\n\nIf John drinks a bottle of water every half hour, then in 45 minutes (which is 3/4 of an hour), he would drink 3 bottles of water. \n\nFor an extreme sudoku, which takes 4 times longer than a normal sudoku, it would take 45 minutes x 4 = 180 minutes. \n\nIn 180 minutes, John would drink 180 minutes / 30 minutes per bottle = 6 bottles of water. \n\nTherefore, John would drink 6 bottles of water in the time it takes to complete an extreme sudoku puzzle. \n\n#### 6\nThe answer is: 6", "answer": {"result": 6.0}}, "matches": true} +{"solution": {"solution": "Let's denote the number of yellow balloons as Y.\n\nFrom the problem, we know that Benny threw 2 pieces of bologna at each red balloon and 3 pieces at each yellow balloon. We also know that there are 20 red balloons, so the total number of bologna pieces thrown at the red balloons is 20 * 2 = 40 pieces.\n\nThe total number of bologna pieces thrown at all balloons is 58. Since we've already accounted for 40 pieces of bologna used for the red balloons, we can find the number of pieces used for the yellow balloons by subtracting the red balloons' bologna pieces from the total:\n\n58 (total pieces) - 40 (red balloons' pieces) = 18 (yellow balloons' pieces).\n\nNow, we know that each yellow balloon received 3 pieces of bologna. To find the number of yellow balloons, we divide the total bologna pieces for yellow balloons by the number of pieces per yellow balloon:\n\n18 (yellow balloons' pieces) / 3 (pieces per yellow balloon) = 6 yellow balloons.\n\nTherefore, there are $6$ yellow balloons in the bundle.\n\nTo confirm, we can check if the total pieces match:\n\n20 red balloons * 2 pieces each = 40 pieces\n6 yellow balloons * 3 pieces each = 18 pieces\n40 (red) + 18 (yellow) = 58 pieces (total)\n\nThe calculations align with the information provided, confirming that there are indeed 6 yellow balloons in the bundle.\n\nAnswer: There are 6 yellow balloons in the bundle.\nThe final answer is $\\boxed{6}$", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nJon drives 100 miles a day, so in a 30 day month, he drives 100 miles/day * 30 days = 3000 miles.\nSince Jon's car needs a tune-up every 1000 miles, he will need 3000 miles / 1000 miles/tune-up = 3 tune-ups in that time.\n#### 3\nThe answer is: 3", "answer": {"result": 3.0}}, "matches": true} +{"solution": {"solution": "\nOn Tuesday, Bruce works for 5 hours.\n\nOn Wednesday, he works twice the time he works on Tuesday, so he works 5 x 2 = 10 hours.\n\nOn Thursday, he works 2 hours less than the time he works on Wednesday, so he works 10 - 2 = 8 hours.\n\nIn total, Bruce works 5 + 10 + 8 = 23 hours in these three days.\n\n#### 23\nThe answer is: 23", "answer": {"result": 23.0}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total cost of the balloons. Since they bought 1 dozen balloons, which is 12 balloons, and each 2 balloons cost $0.5, we can find out how many sets of 2 balloons they bought:\n\n12 balloons / 2 balloons per set = 6 sets\n\nNow, let's calculate the cost of the balloons:\n\n6 sets * $0.5 per set = $3\n\nNext, let's calculate the total cost of the ice cream:\n\n2 tubs * $7 per tub = $14\n\nNow, let's add the cost of the cake:\n\n$11 (cake) + $3 (balloons) + $14 (ice cream) = $28\n\nThis $28 was the total amount of money Julia and Nadine had from their allowance combined. Since they were given the same amount of allowance, we can divide this total by 2 to find out how much each girl received:\n\n$28 / 2 = $14\n\nSo, Julia and Nadine's mother gave each of them $\\boxed{\\$14}$ for their allowance.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Kira bought a total of 3 apples + 5 bananas + 6 oranges = 14 pieces of fruit. \n\nLola ate 2 pieces of fruit, so there are 14 - 2 = 12 pieces of fruit left. \n\nTherefore, there are 12 pieces of fruit left. \n\n#### 12\nThe answer is: 12", "answer": {"result": 12.0}}, "matches": true} +{"solution": {"solution": "\n\nThere are 6 students playing tennis.\nTwice that number playing volleyball would be 6 * 2 = 12 students.\nThere are 16 boys and 22 girls playing soccer, so there are 16 + 22 = 38 students playing soccer.\nIn total, there are 6 + 12 + 38 = 56 students participating in the three groups.\n#### 56\nThe answer is: 56", "answer": {"result": 56.0}}, "matches": true} +{"solution": {"solution": "\nEach student sold 10 lollipops, so in total, they sold 30 students x 10 lollipops/student = 300 lollipops.\nThe cost of each lollipop was $0.8, so the total cost of the lollipops is 300 lollipops x $0.8/lollipop = $240.\nThey bought the lollipops for $0.5 each, so the total cost of the lollipops is 300 lollipops x $0.5/lollipop = $150.\nThe profit from selling the lollipops is the total revenue minus the total cost, which is ($0.8/lollipop x 300 lollipops) - $150 = $240 - $150 = $90.\nTherefore, the class was able to raise $90 from the profit of selling lollipops.\n#### 90\nThe answer is: 90", "answer": {"result": 90.0}}, "matches": true} +{"solution": {"solution": "Larry has 3 cats. \n\nHe has 3 times as many dogs as cats, so he has 3 x 3 = 9 dogs.\n\nHe has 2 fewer rabbits than dogs, so he has 9 - 2 = 7 rabbits.\n\nHe has a fish tank with three times the number of fish as rabbits, so he has 7 x 3 = 21 fish.\n\nHe has a collection of gerbils that's 1/3 the number of fish he has, so he has 21 / 3 = 7 gerbils.\n\nIn total, Larry has 3 cats + 9 dogs + 7 rabbits + 21 fish + 7 gerbils = 47 pets.\n\n#### 47\nThe answer is: 47", "answer": {"result": 47.0}}, "matches": true} +{"solution": {"solution": "Abby can eat 2 slices of bread a day, so in 1 day, she will eat 2 slices.\nJosh can eat twice as much as Abby, so he can eat 2 x 2 = 4 slices of bread a day.\nTogether, Abby and Josh can eat 2 + 4 = 6 slices of bread a day.\nIf a loaf of bread has 24 slices, then the loaf of bread will last 24 / 6 = 4 days.\n#### 4\nThe answer is: 4", "answer": {"result": 4.0}}, "matches": true} +{"solution": {"solution": "Martha has been collecting shells for 10 - 5 = 5 years.\nSince she collects one shell every month, she will have collected 5 x 12 = 60 shells.\n#### 60\nThe answer is: 60", "answer": {"result": 60.0}}, "matches": true} +{"solution": {"solution": "\nLana has 27 cups in total and divides them into 3 rows. \nIn each row, she creates equal amounts of chamomile and mint tea cups, so each row has a total of 27/3 = 9 cups.\nSince she uses half of the cups for chamomile tea, there are 9/2 = 4.5 cups of chamomile tea in each row.\nThe remaining cups are used to brew cinnamon tea, which is 27 - 9*2 = 9 cups.\nSince she brews a total of 15 cups of cinnamon tea, there are 9/2 = 4.5 cups of chamomile tea in each row.\nTherefore, each row has 9 - 4.5 = 4.5 cups of mint tea.\n#### 4.5\nThe answer is: 4.5", "answer": {"result": 4.5}}, "matches": false} +{"solution": {"solution": "To find the least number of berries the sloth can pick up per trip, we first calculate the total number of trips he can make in 8 hours, given that each trip takes 4 hours. This is done by dividing the total time (8 hours) by the time per trip (4 hours):\n\n\\[ \\frac{8 \\, \\text{hours}}{4 \\, \\text{hours/trip}} = 2 \\, \\text{trips} \\]\n\nThis means the sloth can make 2 trips in 8 hours.\n\nNext, we need to find out how many berries he can pick in 2 trips, given that he wants to collect a total of 24 berries. To do this, we divide the total number of berries by the number of trips:\n\n\\[ \\frac{24 \\, \\text{berries}}{2 \\, \\text{trips}} = 12 \\, \\text{berries/trip} \\]\n\nTherefore, the least number of berries the sloth can pick up per trip, to collect 24 berries in 8 hours, is $\\boxed{12}$.\n\nAnswer: 12", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, we need to calculate how much water Anthony and his father fill the tank with. Since they use half the amount of water in the pool, they fill the tank with 10000 / 2 = 5000 gallons of water.\n\nNext, we need to determine how much water is left in the tank after 6 days. Since they empty the tank at a rate of 500 gallons per day, after 6 days, they will have emptied 6 * 500 = 3000 gallons of water.\n\nFinally, we subtract the amount of water emptied from the initial amount in the tank to find the remaining water: 5000 - 3000 = 2000 gallons.\n\nTherefore, after 6 days, there will be 2000 gallons of water remaining in the tank.\n\nThe final answer is 2000 gallons.\n\nAnswer: \\boxed{2000}.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total amount Colby has spent on movie tickets, popcorn, and candy. \n\nMovie tickets for Fridays and Saturdays: 5 movies at $10 each = $50\nMovie tickets for other days: 8 movies at $7 each = $56\nTotal movie ticket cost = $50 + $56 = $106\n\nPopcorn: 2 tubs at $8 each = $16\nCandy: 4 boxes at $2 each = $8\nTotal popcorn and candy cost = $16 + $8 = $24\n\nTotal spent so far = $106 (movie tickets) + $24 (popcorn and candy) = $130\n\nSince Colby receives $150 each month, he has $150 - $130 = $20 left to spend on movies.\n\nNow, let's calculate how many more movies he can see with the remaining money.\n\nEach movie costs $7 for a weekday and $10 for a Friday or Saturday. Since it's the last day of the month and it's a Friday, he can only buy a ticket for $10.\n\nWith $20 left, he can buy $20 / $10 = 2 more movie tickets.\n\nTherefore, Colby can see 2 more movies at the theater with the money he has left.\n\nAnswer: Colby can see 2 more movies at the theater this month.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total calories of the mini cinnamon rolls:\n\n* There are 200 mini cinnamon rolls, and each one has 1/3rd the calories of a normal version.\n* A normal cinnamon roll has 600 calories, so a mini cinnamon roll has 1/3 * 600 = 200 calories.\n* Therefore, the total calories for the mini cinnamon rolls are 200 * 200 = 40,000 calories.\n\nNext, let's calculate the total calories of the mini blueberry muffins:\n\n* There are 300 mini blueberry muffins, and each one has 1/3rd the calories of a normal version.\n* A normal blueberry muffin has 450 calories, so a mini blueberry muffin has 1/3 * 450 = 150 calories.\n* Therefore, the total calories for the mini blueberry muffins are 300 * 150 = 45,000 calories.\n\nFinally, let's add the total calories of both types of pastries together:\n\n* Total calories = calories from mini cinnamon rolls + calories from mini blueberry muffins\n* Total calories = 40,000 + 45,000 = 85,000 calories\n\nThe pastries Andrew baked have a total of 85,000 calories.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "On Tuesday and Wednesday, Rita removed 39 x 2 = 78 Junebugs each day.\n\nSo in total, she removed 39 (Monday) + 78 (Tuesday) + 78 (Wednesday) + 48 (Thursday) + 57 (Friday) = 292 Junebugs.\n\nThe number of days she removed Junebugs is 5 (Monday through Friday).\n\nTo find the average number of Junebugs removed per day, we divide the total number of Junebugs removed by the number of days:\n\n292 Junebugs / 5 days = 58.4 Junebugs per day.\n\nSince we typically round to the nearest whole number for averages, the average number of Junebugs Rita removed per day is $\\boxed{58}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "The bus travels at a speed of 60 miles per hour for 5 hours, so it covers a distance of 60 * 5 = 300 miles.\n\nThe car travels at a speed of 30 miles per hour for 8 hours, so it covers a distance of 30 * 8 = 240 miles.\n\nTo find out how much farther the bus went than the car, we subtract the distance covered by the car from the distance covered by the bus: 300 - 240 = 60 miles.\n\nTherefore, the bus went 60 miles farther than the car.\n\nThe final answer is $\\boxed{60}$ miles.The answer is: 60", "answer": {"result": 60.0}}, "matches": true} +{"solution": {"solution": "Sophie already has 31 building blocks, 8 stuffed animals, and 9 stacking rings. To find out how many bouncy balls she bought, we need to subtract the number of these toys from the total number of toys she has.\n\nTotal toys = 62\nBuilding blocks + Stuffed animals + Stacking rings = 31 + 8 + 9 = 48\n\nNow, subtract the total number of these toys from the total number of toys to find out how many bouncy balls there are:\n\nBouncy balls = Total toys - (Building blocks + Stuffed animals + Stacking rings)\nBouncy balls = 62 - 48 = 14\n\nSophie bought $\\boxed{14}$ bouncy balls in the tube.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Define Variables:**\n - Let \\( P \\) be the age of Peter.\n - Let \\( J \\) be the age of Jean.\n - Let \\( M \\) be the age of Paul.\n\n2. **Given Information:**\n - The combined age of Peter, Paul, and Jean is 100 years:\n \\[\n P + M + J = 100\n \\]\n - Paul is 10 years older than Jean:\n \\[\n M = J + 10\n \\]\n - Peter's age is equal to the sum of Paul's and Jean's ages:\n \\[\n P = M + J\n \\]\n\n3. **Set Up the Equations:**\n - From the equation for the combined age:\n \\[\n P + (J + 10) + J = 100\n \\]\n - Simplify the equation:\n \\[\n P + 2J + 10 = 100\n \\]\n - Subtract 10 from both sides to isolate the terms involving \\( P \\) and \\( J \\):\n \\[\n P + 2J = 90\n \\]\n\n4. **Substitute \\( P \\) from the Third Given Information:**\n - From the equation \\( P = M + J \\), we substitute \\( P \\) in the simplified combined age equation:\n \\[\n M + J + 2J = 90\n \\]\n - Substitute \\( M = J + 10 \\):\n \\[\n (J + 10) + 3J = 90\n \\]\n\n5. **Solve for \\( J \\):**\n - Combine like terms:\n \\[\n 4J + 10 = 90\n \\]\n - Subtract 10 from both sides:\n \\[\n 4J = 80\n \\]\n - Divide both sides by 4:\n \\[\n J = 20\n \\]\n\n6. **Find \\( M \\) Using the Second Given Information:**\n - Substitute \\( J \\) back into \\( M = J + 10 \\):\n \\[\n M = 20 + 10\n \\]\n \\[\n M = 30\n \\]\n\n7. **Find \\( P \\) Using the Third Given Information:**\n - Substitute \\( J \\) and \\( M \\) back into \\( P = M + J \\):\n \\[\n P = 30 + 20\n \\]\n \\[\n P = 50\n \\]\n\n8. **Conclusion:**\n - The age of Peter is:\n \\[\n \\boxed{50}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Maria initially gave each of her 4 friends 2 water balloons, so she gave out 4 friends x 2 balloons = 8 balloons. \n\nShe also had 1 water balloon for herself. \n\nSo, before her mom came out, they had a total of 8 balloons + 1 balloon = 9 balloons.\n\nThen her mom gave each person 3 more balloons. Since there were 5 people (Maria and her 4 friends), her mom gave out 5 people x 3 balloons = 15 balloons.\n\nAdding the initial balloons to the ones given by her mom, they now have a total of 9 balloons + 15 balloons = $\\boxed{24}$ balloons.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n10 people donate 5 boxes each, so they donate a total of 10 * 5 = 50 boxes of stuff.\n\nThey also have 10 boxes of stuff already, so in total, they have 50 + 10 = 60 boxes of stuff.\n\nThey can fit 2 boxes worth of stuff per table, so they need 60 / 2 = 30 tables to fit all the stuff.\n\nThey already own 15 tables, so they need 30 - 15 = 15 new tables.\n\n#### 15\nThe answer is: 15", "answer": {"result": 15.0}}, "matches": true} +{"solution": {"solution": "Zoey spits her 40 seeds each at a distance of 10 feet, so the total distance for Zoey is 40 * 10 = 400 feet.\n\nSydney spits her 35 seeds each at a distance of 12 feet, so the total distance for Sydney is 35 * 12 = 420 feet.\n\nTo find the average total distance spat, we add Zoey's and Sydney's total distances and divide by 2 (since there are two people):\n\n(400 + 420) / 2 = 820 / 2 = 410 feet.\n\nThe average total distance spat by Zoey and Sydney is $\\boxed{410}$ feet.The answer is: 410", "answer": {"result": 410.0}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total number of widgets each machine can make in 24 hours.\n\nFor the Widgeteer 3000:\n60 widgets/hour * 24 hours/day = 1440 widgets/day\n\nFor the WidgetMaster 9000:\n45 widgets/hour * 24 hours/day = 1080 widgets/day\n\nNow, let's calculate the total number of widgets each machine can make in a month (30 days).\n\nFor the Widgeteer 3000:\n1440 widgets/day * 30 days = 43,200 widgets\n\nFor the WidgetMaster 9000:\n1080 widgets/day * 30 days = 32,400 widgets\n\nNext, let's calculate the total revenue for each machine.\n\nFor the Widgeteer 3000:\n43,200 widgets * $6/widget = $259,200\n\nFor the WidgetMaster 9000:\n32,400 widgets * $6/widget = $194,400\n\nFinally, let's calculate the difference in revenue between the two machines.\n\nDifference = $259,200 - $194,400 = $64,800\n\nFern will make $\\boxed{\\$64,800}$ more from the Widgeteer 3000 compared to the WidgetMaster 9000.The answer is: 64,800", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Cameron arrives at 5 pm and wants to stay until 10 am the next morning, which is a total of 19 hours (from 5 pm to 10 am, including the night).\n\nThe hotel charges 1000 pesos for the first 12 hours.\n\nFor the remaining 7 hours (from 12 hours to 19 hours), Cameron will pay an additional 70 pesos for every hour. So, he will pay 7 * 70 = 490 pesos for the extra 7 hours.\n\nThe total cost for Cameron would be 1000 pesos (for the first 12 hours) + 490 pesos (for the extra 7 hours) = 1490 pesos.\n\nIf Cameron had chosen the 24-hour option, the cost would be 1600 pesos.\n\nTherefore, Cameron would save 1600 pesos (24-hour option) - 1490 pesos (his chosen option) = 110 pesos.\n\nCameron would save 110 pesos by choosing to pay for the additional hours rather than opting for the 24-hour stay.\n\nAnswer: \\boxed{110}", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's find out how much hay each sheep needs. \n\nEach goat needs 5 pounds of hay, so twice the amount each goat needs is 2 * 5 = 10 pounds.\n\nEach sheep needs 3 pounds less than twice the amount each goat needs, so each sheep needs 10 - 3 = 7 pounds of hay.\n\nNow, let's calculate the total amount of hay needed for the goats and sheep.\n\nFor the goats, 15 goats * 5 pounds each = 75 pounds of hay.\n\nFor the sheep, 12 sheep * 7 pounds each = 84 pounds of hay.\n\nFinally, let's add the hay needed for both goats and sheep to find the total amount of hay needed.\n\n75 pounds (for goats) + 84 pounds (for sheep) = 159 pounds of hay.\n\nNate needs a total of $\\boxed{159}$ pounds of hay for his livestock.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "John earns $50 an hour and worked 6 hours, so he earned 50 * 6 = $300. \n\nHe spends $50 on gas, so he has 300 - 50 = $250 left.\n\nHe wants to deposit $100 in the bank, so he has 250 - 100 = $150 left to spend on pens and pencils.\n\nHe buys 5 pencils that cost $10 each, so he spends 5 * 10 = $50 on pencils.\n\nHe has 150 - 50 = $100 left to spend on pens.\n\nEach pen costs $25, so he can buy 100 / 25 = $\\boxed{4}$ pens.\n\nAnswer: 4", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Craig has spelled out 20 words with 15 letters each, so he has spelled a total of 20 * 15 = 300 letters.\n\nCraig's brother has spelled words with a total count of letters 50 more than Craig, so Craig's brother has spelled 300 + 50 = 350 letters.\n\nTogether, they have spelled 300 (Craig's words) + 350 (Craig's brother's words) = $\\boxed{650}$ letters in total after the ten rounds.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Calculate the number of children in one row:**\n\n The problem states that there are 8 children standing in one row.\n\n2. **Determine the number of rows:**\n\n There are 7 rows for the drill, one row for each of the 7 participating schools.\n\n3. **Calculate the total number of children:**\n\n To find the total number of children, multiply the number of children in one row by the total number of rows:\n\n \\[\n \\text{Total number of children} = 8 \\text{ (children per row)} \\times 7 \\text{ (rows)}\n \\]\n\n4. **Perform the multiplication:**\n\n \\[\n 8 \\times 7 = 56\n \\]\n\n5. **Conclusion:**\n\n There are 56 children in the drill.\n\n \\[\n \\boxed{56}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Determine the total number of bottles of apple juice:**\n - The teacher has 9 coupons, and each coupon can be redeemed for 100 bottles of apple juice. Therefore, the total number of bottles of apple juice is:\n \\[\n 9 \\times 100 = 900 \\text{ bottles}\n \\]\n\n2. **Calculate how many bottles each student receives:**\n - Each student receives 2 bottles of apple juice for lunch.\n - There are 29 students in the class.\n - Therefore, the total number of bottles given to the students is:\n \\[\n 2 \\times 29 = 58 \\text{ bottles}\n \\]\n\n3. **Determine the number of bottles remaining for the teacher:**\n - After distributing the bottles to the students, the remaining number of bottles is:\n \\[\n 900 - 58 = 842 \\text{ bottles}\n \\]\n\n**Conclusion:**\nThe teacher has 842 bottles of apple juice left for herself.\n\n\\[\n\\boxed{842}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Calculate the labor cost**: Patty charges $35 per hour for labor. The job took 2.25 hours, so the labor cost is:\n \\[\n 2.25 \\text{ hours} \\times \\$35/\\text{hour} = \\$80.25\n \\]\n\n2. **Add the visit fee**: There is a $40 fee for visiting the house. Adding this to the labor cost gives:\n \\[\n \\$80.25 + \\$40 = \\$120.25\n \\]\n\n3. **Add the cost of parts**: The parts cost $60. Adding this to the total so far gives:\n \\[\n \\$120.25 + \\$60 = \\$180.25\n \\]\n\nThus, the total amount Patty charged is $\\boxed{\\$180.25}$.The answer is: 180.25", "answer": {"result": 180.25}}, "matches": false} +{"solution": {"solution": "To solve this problem, we'll break it down into two main parts: calculating the discount on the CDs and determining the loss from selling five of them.\n\n1. **Calculating the Discount on the CDs:**\n\nFirst, we find the discount amount per CD. Since James gets a 40% discount on each $15 CD, we calculate the discount as:\n\\[ \\$15 \\times 0.40 = \\$6 \\]\n\nThis means each CD is discounted by $6, making the cost of each CD after the discount:\n\\[ \\$15 - \\$6 = \\$9 \\]\n\n2. **Calculating the Total Cost for All CDs:**\n\nNext, we find the total cost for all 10 CDs at the discounted price:\n\\[ 10 \\times \\$9 = \\$90 \\]\n\n3. **Calculating the Loss from Selling Five CDs:**\n\nJames sells 5 of the CDs for a total of $40. Since he bought them for $9 each, the cost of these 5 CDs is:\n\\[ 5 \\times \\$9 = \\$45 \\]\n\n4. **Calculating the Total Loss:**\n\nFinally, to find out how much money James was out, we subtract the amount he got from selling the 5 CDs from the total cost of the 10 CDs:\n\\[ \\$90 - \\$40 = \\$50 \\]\n\nTherefore, James was out $\\boxed{\\$50}$ in total.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Jen has 6 yams, and she can sell each yam for $1.5, so she will earn 6 * $1.5 = $9 from the yams.\n\nShe also has 10 sweet potatoes, and each sweet potato costs $2, so she will earn 10 * $2 = $20 from the sweet potatoes.\n\nLastly, she has 4 carrots, and each carrot costs $1.25, so she will earn 4 * $1.25 = $5 from the carrots.\n\nIn total, Jen will earn $9 + $20 + $5 = $\\boxed{\\$34}$ from selling all her root crops.The answer is: 34", "answer": {"result": 34.0}}, "matches": true} +{"solution": {"solution": "James swims 60% of the distance, which is 0.6 * 20 miles = 12 miles. \n\nHe swims at a pace of 2 miles per hour, so it takes him 12 miles / 2 miles per hour = 6 hours to swim that distance.\n\nAfter swimming, he rests for half as long as the swimming time, which is 6 hours / 2 = 3 hours.\n\nAfter resting, he swims the remaining 8 miles (20 miles - 12 miles) at half his original speed, which is 2 miles per hour / 2 = 1 mile per hour.\n\nAt half speed, it takes him 8 miles / 1 mile per hour = 8 hours to swim the remaining distance.\n\nAdding up the time for swimming, resting, and swimming the remaining distance, we get 6 hours + 3 hours + 8 hours = $\\boxed{17}$ hours in total to get across the lake.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, calculate seven times the number of loaves Sam had last Friday:\n\\[ 7 \\times 70 = 490 \\]\n\nNext, subtract 40 from this total to find the number of loaves the bakery has:\n\\[ 490 - 40 = 450 \\]\n\nThus, the bakery has \\(\\boxed{450}\\) loaves of bread.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Jasmine started with 15 stickers. She lost 7 stickers, so she had:\n\n15 - 7 = 8 stickers remaining.\n\nThen, her teacher gave her another 5 stickers, so she now has:\n\n8 + 5 = 13 stickers.\n\nJasmine has $\\boxed{13}$ stickers at the end.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve the problem, we need to calculate the commission Cayley earns from selling each type of newspaper and then sum these amounts.\n\n1. **Calculate commission for New York Times:**\n\n - For each copy of the New York Times, Cayley earns a 10% commission.\n - The price of one copy of the New York Times is $5.\n - Commission per copy of the New York Times = $\\frac{10}{100} \\times 5$\n\n \\[\n \\frac{10}{100} \\times 5 = \\frac{10 \\times 5}{100} = \\frac{50}{100} = 0.5\n \\]\n\n - Cayley sells 6 copies.\n - Total commission from New York Times = Commission per copy $\\times$ Number of copies\n\n \\[\n 0.5 \\times 6 = 3\n \\]\n\n2. **Calculate commission for Wall Street Journal:**\n\n - For each copy of the Wall Street Journal, Cayley earns an 8% commission.\n - The price of one copy of the Wall Street Journal is $15.\n - Commission per copy of the Wall Street Journal = $\\frac{8}{100} \\times 15$\n\n \\[\n \\frac{8}{100} \\times 15 = \\frac{8 \\times 15}{100} = \\frac{120}{100} = 1.2\n \\]\n\n - Cayley sells 10 copies.\n - Total commission from Wall Street Journal = Commission per copy $\\times$ Number of copies\n\n \\[\n 1.2 \\times 10 = 12\n \\]\n\n3. **Calculate the total commission:**\n\n - Total commission = Commission from New York Times + Commission from Wall Street Journal\n\n \\[\n 3 + 12 = 15\n \\]\n\n**Conclusion:**\n\nThe total commission Cayley earns is\n\n\\[\n\\boxed{15}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote Leo's age as L and Marcus's age as M.\n\nFrom the problem, we have the following relationships:\n\n1. Marcus is half of Leo's age:\nM = 1/2 * L\n\n2. Marcus is five years younger than Deanna:\nM = D - 5\n\nWe know Deanna's age (D) is 26 years.\n\nNow we can substitute the value of D into the second equation:\nM = 26 - 5\nM = 21\n\nNow we have Marcus's age. We can use the first equation to find Leo's age:\nM = 1/2 * L\n21 = 1/2 * L\n\nTo find L, we multiply both sides of the equation by 2:\n21 * 2 = L\nL = 42\n\nLeo is $\\boxed{42}$ years old.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "I need to find the number of points Azibo scored, so I'll call that x. Since Bahati scored 20 more than Azibo, I can write Bahati's score as x + 20. And since Bahati scored 10 more than Dinar, I can write Dinar's score as x + 10. The total score of the team was 45, so I can write an equation that adds up the scores of Bahati, Azibo, and Dinar: x + (x + 20) + (x + 10) = 45. I can simplify this equation by combining like terms: 3x + 30 = 45. I can subtract 30 from both sides: 3x = 15. I can divide both sides by 3: x = 5. This means Azibo scored 5 points.\n\nThe answer is: 5", "answer": {"result": 5.0}}, "matches": true} +{"solution": {"solution": "1. **Convert the thickness of the book from inches to pages**:\n - The book is 1.5 inches thick.\n - Given that there are 100 pages per inch, the total number of pages in the book is calculated by:\n \\[\n 1.5 \\text{ inches} \\times 100 \\text{ pages/inch} = 150 \\text{ pages}\n \\]\n\n2. **Account for the fact that each sheet of paper contains two pages**:\n - Since each page in the book is printed on one side of a sheet, and each sheet can hold two pages, the total number of sheets in the book is half the number of pages:\n \\[\n \\frac{150 \\text{ pages}}{2} = 75 \\text{ sheets}\n \\]\n\n3. **Conclusion**:\n - Therefore, the total number of pages in the book is:\n \\[\n \\boxed{150}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "From 8:00 AM until 11:00 PM is a total of 15 hours. \nVince can staple 30 reports every 15 minutes, so in 1 hour (60 minutes), he can staple 30 x (60/15) = 120 reports. \nTherefore, in 15 hours, he can staple 120 x 15 = 1800 reports. \nSo, Vince stapled a total of 1800 reports. \n#### 1800\nThe answer is: 1800", "answer": {"result": 1800.0}}, "matches": false} +{"solution": {"solution": "To calculate the total time Kim slept in bed on the day in question, we consider two intervals: the usual sleep time and the additional time spent sleepwalking.\n\n1. **Usual Sleep Time:**\n - Kim's usual sleep schedule is from 10:00 p.m. to 6:00 a.m.\n - This duration is calculated as follows:\n \\[\n 6:00 - 10:00 = 6 \\times 60 - 10 \\times 60 = 360 - 600 = -240 \\text{ minutes}\n \\]\n However, since we are looking for the positive duration, we take the absolute value:\n \\[\n |-240| = 240 \\text{ minutes}\n \\]\n\n2. **Sleepwalking Time:**\n - Kim woke up at 6:00 a.m. and started sleepwalking at 2:15 a.m.\n - The duration of sleepwalking is:\n \\[\n 2:15 - 6:00 = -3:45 \\text{ (in minutes)}\n \\]\n To convert this to a positive duration, we take the absolute value:\n \\[\n |-3:45| = 45 \\text{ minutes}\n \\]\n\n3. **Adjusting for Waking Up Early for the Bathroom:**\n - Kim woke up 5 minutes earlier than usual, which was 5:55 a.m. instead of 6:00 a.m.\n - The additional time spent awake is:\n \\[\n 6:00 - 5:55 = 5 \\text{ minutes}\n \\]\n\n4. **Calculating Total Sleep Time in Bed:**\n - Combining the usual sleep time and the sleepwalking time, we get:\n \\[\n 240 + 45 = 285 \\text{ minutes}\n \\]\n - Subtracting the extra time spent awake for the bathroom:\n \\[\n 285 - 5 = 280 \\text{ minutes}\n \\]\n\nTherefore, the total time Kim slept in bed on that day is $\\boxed{280}$ minutes.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Since a dozen is equal to 12, two dozen measuring cups amount to 2*12 = 24 cups. \n\nJonathan has 2/3 as many measuring spoons as measuring cups, meaning he has 2/3*24 = 16 measuring spoons.\n\nWhen he gifts Pedro 6 measuring spoons, Jonathan remains with 16-6 = 10 spoons.\n\nJonathan therefore has 10 measuring spoons + 24 measuring cups = 34 utensils remaining. \n\nThe answer is 34\n\n#### 34\nThe answer is: 34", "answer": {"result": 34.0}}, "matches": true} +{"solution": {"solution": "\nThe hospital has a capacity of 1000 beds, and 1/5 of these beds are occupied, which means 1000 * 1/5 = 200 beds are occupied.\nDue to the coronavirus outbreak, 50 patients are admitted into the hospital each day.\nOver the course of 2 weeks, there are 7 days in a week, so 7 * 2 = 14 days.\nTherefore, 50 patients * 14 days = 700 patients are admitted into the hospital over the 2 weeks.\nThe initial number of occupied beds is 200, and 700 patients are admitted, so there will be a total of 200 + 700 = 900 occupied beds.\nSince the hospital has a capacity of 1000 beds, the total number of unoccupied beds is 1000 - 900 = 100.\n#### 100\nThe answer is: 100", "answer": {"result": 100.0}}, "matches": true} +{"solution": {"solution": "Robyn sends 16 emails a day. \n7 of those are work emails, so she has 16 - 7 = 9 emails remaining.\nTwo-thirds of those remaining emails are to family, so she sends 9 * (2/3) = 6 emails to family.\nThe other remaining emails are 9 - 6 = 3.\nOne-third of those other emails are to her boyfriend, so she sends 3 * (1/3) = 1 email to her boyfriend.\nTherefore, Robyn sends 1 email a day to her boyfriend.\n#### 1\nThe answer is: 1", "answer": {"result": 1.0}}, "matches": true} +{"solution": {"solution": "If Aliya is currently 3 years old, and Shawna is three times as old as Aliya, then Shawna is:\n\n3 (Aliya's age) * 3 = 9 years old.\n\nShawna's father is five times as old as Shawna, so Shawna's father's age is:\n\n9 (Shawna's age) * 5 = 45 years old.\n\nTherefore, Shawna's father is $\\boxed{45}$ years old.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Courtney overstated the number of people by 20%, then the actual number of people is 100% - 20% = 80% of the number Courtney reported. \n\nTo find 80% of 48, we calculate:\n\\[ 0.80 \\times 48 = 38.4 \\]\n\nSince the number of people cannot be a fraction, we round to the nearest whole number. Therefore, the actual number of people who attended the concert is:\n\\[ \\boxed{38} \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Jason carried 2 balls, and Jason carried twice as many balls as Jeffrey, then Jeffrey carried half as many balls as Jason. \n\nJeffrey's balls = 2 / 2 = 1 ball\n\nJordan carried twice as many balls as Jason, so Jordan carried:\n\nJordan's balls = 2 * Jason's balls = 2 * 2 = 4 balls\n\nNow, to find the total number of balls, we add the balls carried by Jordan, Jason, and Jeffrey:\n\nTotal balls = Jordan's balls + Jason's balls + Jeffrey's balls\nTotal balls = 4 + 2 + 1\nTotal balls = 7\n\nSo, the coach brought $\\boxed{7}$ basketballs to practice.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Calculate the total number of holes dug by the end of the third day**:\n - The pirates dug 10 holes on the first day.\n - They dug 13 holes on the second day.\n - They dug 8 holes on the third day, but filled in 2 of them.\n - Therefore, at the end of the third day, they had:\n \\[\n 10 + 13 + (8 - 2) = 10 + 13 + 6 = 29 \\text{ holes}\n \\]\n\n2. **Determine the number of holes at the end of the fourth day**:\n - The problem states that the number of holes by the end of the fourth day is four times the number at the end of the first day.\n - Number of holes at the end of the first day: 10.\n - Number of holes at the end of the fourth day:\n \\[\n 4 \\times 10 = 40 \\text{ holes}\n \\]\n\n3. **Calculate the number of holes dug on the fourth day**:\n - Holes at the end of the third day: 29.\n - Holes at the end of the fourth day: 40.\n - Holes dug on the fourth day:\n \\[\n 40 - 29 = 11\n \\]\n\nConclusion:\n\\[\n\\boxed{11}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nIf Amora and Lainey got 70 corn chips each, then together they got 70 + 70 = 140 corn chips.\n\nThe other person, Collins, got 15 more corn chips than the number Amora and Lainey got, so Collins got 140 + 15 = 155 corn chips.\n\nIn total, there were 140 + 155 = 295 corn chips.\n\n#### 295\nThe answer is: 295", "answer": {"result": 295.0}}, "matches": false} +{"solution": {"solution": "To find out the total cost of travel tickets, we first need to determine the additional cost on top of the $400 spent on supplies. \n\nGiven that the tickets cost 50% more than the supplies, we calculate the additional cost as follows:\n- Additional cost = $400 \\times 50\\% = $400 \\times 0.5 = $200.\n\nNext, we add this additional cost to the cost of supplies to find the total travel cost:\n- Total travel cost = Cost of supplies + Additional cost = $400 + $200 = $600.\n\nTherefore, the total cost for Jen's travel tickets is $\\boxed{600}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "I need to find the number of Pokemon that Stan has caught, which I'll call S. I also need to find the number of Pokemon that Alex has caught, which I'll call A, and the number of Pokemon that Adelwolfe has caught, which I'll call D. I know that A = S + 5, since Alex has caught 5 more than Stan. I also know that A = 4D - 13, since Stan has caught 13 less than 4 times as many as Adelwolfe. And I know that A + S + D = 339, since together they have caught 339 Pokemon. I can use these three equations to solve for S, by substituting A and D in terms of S. If I substitute A = S + 5 into A + S + D = 339, I get (S + 5) + S + D = 339. Simplifying, I get 2S + D = 334. If I substitute A = 4D - 13 into A = S + 5, I get 4D - 13 = S + 5. Solving for S, I get S = 4D - 18. Now I can plug this into 2S + D = 334, and get 2(4D - 18) + D = 334. Expanding, I get 8D - 36 + D = 334. Combining like terms, I get 9D - 36 = 334. Adding 36 to both sides, I get 9D = 370. Dividing by 9, I get D = 41. This means that Adelwolfe has caught 41 Pokemon. To find S, I can use D = 41 in S = 4D - 18. Plugging in, I get S = 4(41) - 18. Simplifying, I get S = 164 - 18. Simplifying further, I get S = 146. This means that Stan has caught 146 Pokemon.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Each episode is 20 minutes long, so if there are half as many episodes as there are minutes per episode, then there are 20/2 = 10 episodes.\nIf John watches every episode, he will spend 20 minutes x 10 episodes = 200 minutes watching the show.\n#### 200\nThe answer is: 200", "answer": {"result": 200.0}}, "matches": true} +{"solution": {"solution": "To find the distance between the bird's northern and southern homes, we calculate the total distance traveled in each direction and sum them up.\n\n1. For the first leg of the journey, flying south:\n - The bird flies for 10 hours at a speed of 30 miles per hour.\n - The distance covered is calculated as: $10 \\, \\text{hours} \\times 30 \\, \\text{miles/hour} = 300 \\, \\text{miles}$.\n\n2. For the second leg, flying north:\n - The bird flies for 2 hours at a speed of 18 miles per hour.\n - The distance covered is: $2 \\, \\text{hours} \\times 18 \\, \\text{miles/hour} = 36 \\, \\text{miles}$.\n\n3. For the third leg, flying south again:\n - The bird flies for 5 hours at a speed of 22 miles per hour.\n - The distance covered is: $5 \\, \\text{hours} \\times 22 \\, \\text{miles/hour} = 110 \\, \\text{miles}$.\n\nTo find the total distance between the bird's northern and southern homes, we add the distances covered in each direction:\n\n- Total distance = $300 \\, \\text{miles} + 36 \\, \\text{miles} + 110 \\, \\text{miles} = 446 \\, \\text{miles}$.\n\nTherefore, the distance between the bird's northern and southern homes is $\\boxed{446 \\, \\text{miles}}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. Greta made a batch of 12 cream cheese swirl brownies for herself.\n2. Her office gave her 1/2 a dozen brownies, which is 6 brownies.\n3. Her friends had 4 dozen brownies waiting for her, which is 48 brownies.\n4. During the party, 1 1/2 dozen brownies were eaten, which is 18 brownies.\n5. To find the total number of brownies Greta had, we add up all the brownies:\n - Self-made batch: 12 brownies\n - Office brownies: 6 brownies\n - Friend's brownies: 48 brownies\n - Brownies eaten at the party: 18 brownies\n\n6. Calculate the total number of brownies:\n - Total = 12 (self-made) + 6 (office) + 48 (friends) - 18 (eaten) = 48 brownies\n\n7. To find the number of individual brownies left over, we simply take the total number of brownies left:\n - Brownies left over = 48\n\nGreta had $\\boxed{48}$ individual brownies left over from the entire day.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Nani's brother is twice his age, so he is 8 * 2 = 16 years old. \n\nNani's sister is 25% younger than Nani, which means she is 25/100 * 8 = 2 years younger. \n\nSo, Nani's sister is 8 - 2 = 6 years old. \n\nThe total age of all three family members is 8 + 16 + 6 = 30 years. \n\n#### 30\nThe answer is: 30", "answer": {"result": 30.0}}, "matches": true} +{"solution": {"solution": "To find the total time Andy will take to string all the racquets, we need to calculate the time for each type of string job and then sum them up.\n\nFor synthetic gut:\n3 racquets * 15 minutes per racquet = 45 minutes\n\nFor polyester string:\n5 racquets * 22 minutes per racquet = 110 minutes\n\nFor hybrid sets:\n4 racquets * 18 minutes per racquet = 72 minutes\n\nNow, we add up the minutes for all three types of string jobs:\n45 minutes (synthetic gut) + 110 minutes (polyester) + 72 minutes (hybrid) = 227 minutes\n\nTo convert this into hours, we divide by 60 (since there are 60 minutes in an hour):\n227 minutes \u00f7 60 minutes per hour = 3.7833 hours\n\nSo, it will take Andy approximately $\\boxed{3.78}$ hours to string all 12 racquets.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "John needs to buy phones for himself, his 2 kids, and his wife, so he needs to buy a total of 1 + 2 + 1 = 4 phones. \n\nFor the first 2 phones, he pays the full price, which is $600 each. \n\nSo for the first 2 phones, he pays 2 * $600 = $1200.\n\nFor the remaining 2 phones, they are half price. Each of these phones costs $600 / 2 = $300.\n\nSo for the remaining 2 phones, he pays 2 * $300 = $600.\n\nIn total, John pays $1200 for the first 2 phones + $600 for the remaining 2 phones = $\\boxed{\\$1800}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Carlton's team has 13 players, then Zeke's team has 13 + 7 = 20 players.\nThe total number of players in both teams combined is 13 + 20 = 33 players.\n#### 33\nThe answer is: 33", "answer": {"result": 33.0}}, "matches": true} +{"solution": {"solution": "To find the total length of fencing Robert needs, we add the length and width of the garden: 15 feet (length) + 10 feet (width) = 25 feet.\n\nSince there are two wood slats for every foot of fencing, we multiply the total length by 2: 25 feet * 2 slats/foot = 50 slats.\n\nTherefore, Robert will need $\\boxed{50}$ wooden slats for his fence.The answer is: 50", "answer": {"result": 50.0}}, "matches": false} +{"solution": {"solution": "Mrs. Harrington bought 12 boxes of oranges, so she had a total of 12 x 20 = 240 oranges.\nShe gave her mom and her sister 2 boxes each, so she gave away a total of 2 x 2 = 4 boxes of oranges.\n4 boxes is equal to 4 x 20 = 80 oranges.\nMrs. Harrington kept 1/4 of the oranges, which is 1/4 x 240 = 60 oranges.\nShe sold the remaining oranges, which is 240 - 80 - 60 = 100 oranges.\nTherefore, Mrs. Harrington sold 100 oranges.\n#### 100\nThe answer is: 100", "answer": {"result": 100.0}}, "matches": false} +{"solution": {"solution": "Half the number of states in the USA is 25 (since there are 50 states in the USA). So, 4 more than half the number of states in the USA is 25 + 4 = 29. \n\nTherefore, India has 29 states, and the USA has 50 states. \n\nThe total number of states in both countries together is 29 (India) + 50 (USA) = $\\boxed{79}$ states.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how many hours Tyler needs to work to afford his books, we first need to calculate the total cost of the books:\n\n- The dictionary costs $18.\n- The dinosaur book costs $13.\n- The children's cookbook costs $8.\n\nThe total cost is:\n\\[18 + 13 + 8 = 39\\]\n\nTyler has saved $14 from his allowance, so the additional amount he needs to earn is:\n\\[39 - 14 = 25\\]\n\nTyler earns $5 per hour, so the number of hours he needs to work to earn the remaining $25 is:\n\\[25 \\div 5 = 5\\]\n\nTherefore, Tyler needs to work for $\\boxed{5}$ hours to afford the books.\n\nAnswer: \\boxed{5}", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Richard has 10 fewer cherries than Robert, so Richard has 30 - 10 = 20 cherries.\n\nTogether, Richard and Robert have 30 + 20 = 50 cherries.\n\nSince there are 60 cherries in total, Jerry has 60 - 50 = 10 cherries.\n\nRobert has 30 cherries, so he has 30 - 10 = 20 more cherries than Jerry.\n\nAnswer: Robert has $\\boxed{20}$ more cherries than Jerry.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "On Saturday, Sunny sold 10 boxes of gingerbread, so he earned 10 * $6 = $60 from gingerbread sales. \n\nOn Sunday, he sold 15 boxes of apple pie, so he earned 15 * $15 = $225 from apple pie sales. \n\nOn Sunday, he also sold 5 more boxes of gingerbread than on Saturday, so he sold 10 + 5 = 15 boxes of gingerbread. \n\nTherefore, on Sunday, he earned 15 * $6 = $90 from gingerbread sales. \n\nIn total, for Sunday, he earned $225 (from apple pie) + $90 (from gingerbread) = $315. \n\nFor both days, he earned $60 (from Saturday's gingerbread) + $315 (from Sunday's sales) = $375. \n\nTherefore, Sunny earned a total of $375 for two days. \n\nThe final answer is $\\boxed{375}$ . The answer is: 375", "answer": {"result": 375.0}}, "matches": false} +{"solution": {"solution": "Pamela will be outside for 4 hours a day, so she will need 4 ounces of sunscreen per day. \n\nOver 8 days, she will need 4 ounces/day * 8 days = 32 ounces of sunscreen.\n\nSince her sunscreen comes in 8-ounce bottles, she will need 32 ounces / 8 ounces/bottle = $\\boxed{4}$ bottles of sunscreen for her vacation.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If the blue car costs $100, then the red car is 40% cheaper, which means it costs 60% of the blue car's price. \n\n60% of $100 is calculated as follows:\n60/100 * $100 = $60\n\nSo, the red car costs $60.\n\nTo find the total cost of both cars, we add the price of the blue car and the price of the red car:\n$100 (blue car) + $60 (red car) = $160\n\nTherefore, both cars cost a total of $\\boxed{\\$160}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "When Emil turns 24, he will be twice as old as his brother, and half the age of his dad. Let's denote the current age of Emil's dad as D and the current age of Emil's brother as B.\n\nFrom the information given, we can set up the following equations:\n\n1. In 5 years (when Emil is 24), Emil's age will be twice that of his brother:\n24 = 2 * (B + 5)\n\n2. In 5 years (when Emil is 24), Emil's age will be half that of his dad:\n24 = 0.5 * (D + 5)\n\nNow, let's solve for B and D using these equations.\n\nFrom equation 1:\n24 = 2 * (B + 5)\n12 = B + 5\nB = 12 - 5\nB = 7\n\nSo, Emil's brother is currently 7 years old.\n\nFrom equation 2:\n24 = 0.5 * (D + 5)\n48 = D + 5\nD = 48 - 5\nD = 43\n\nSo, Emil's dad is currently 43 years old.\n\nNow, to find the sum of the ages of Emil's dad and his brother now:\nD + B = 43 + 7 = 50\n\nThe sum of the ages of Emil's dad and his brother now is $\\boxed{50}$ years.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Adrianne's mother gave her 20 metallic beads.\n\nHer sister gave her 10 more beads than her mother, so her sister gave her 20 + 10 = 30 beads.\n\nHer friend gave her twice as many beads as her mother gave, so her friend gave her 20 x 2 = 40 beads.\n\nAltogether, Adrianne has 20 (from her mother) + 30 (from her sister) + 40 (from her friend) = $\\boxed{90}$ beads.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "On Thursday, Joe caught 3 pounds of crawfish. \n\nOn Friday, he caught 4 times that amount, which is 4 * 3 = 12 pounds of crawfish. \n\nOn Saturday, he caught half the amount of his Friday's catch, which is 12 / 2 = 6 pounds of crawfish. \n\nIn total, Joe caught 3 + 12 + 6 = 21 pounds of crawfish. \n\nIf 1 serving of crawfish is 3 pounds, then the number of servings Joe has is 21 / 3 = 7 servings. \n\n#### 7\nThe answer is: 7", "answer": {"result": 7.0}}, "matches": true} +{"solution": {"solution": "20% of 30 students are football players, so there are 0.20 * 30 = 6 football players. \n\nThe remaining students are 30 - 6 = 24 students. \n\n25% of these 24 students are cheerleaders or in the band, so there are 0.25 * 24 = 6 students in these groups. \n\nTherefore, the total number of students leaving early is 6 football players + 6 cheerleaders/band members = $\\boxed{12}$ students.The answer is: 12", "answer": {"result": 12.0}}, "matches": true} +{"solution": {"solution": "If Sophie wears size five boots and Charlie's boots are five times the size of Sophie's, then Charlie's boots are 5 * 5 = 25. \n\nTo find the average size of the shoes worn by the two, we add the sizes together and divide by the number of people:\n\nAverage size = (Sophie's size + Charlie's size) / 2\nAverage size = (5 + 25) / 2\nAverage size = 30 / 2\nAverage size = 15\n\nSo, the average size of the shoes worn by Sophie and Charlie is $\\boxed{15}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, we need to calculate the total width that the plants and spaces between them will occupy. \n\nThe width of each plant is 12 inches, which is 1 foot (since there are 12 inches in a foot). \n\nThe space between each plant is 1.5 feet. \n\nSo, the total width occupied by one plant and its space is 1 foot (plant) + 1.5 feet (space) = 2.5 feet.\n\nPat has 17 flowers, so the total width for these plants and spaces will be 17 plants * 2.5 feet per plant = 42.5 feet.\n\nHowever, Pat's flower bed is only 111 feet long, so the plants and spaces will only extend 111 feet.\n\nNow, we need to determine how many plants can fit in the 111 feet of space, considering the 2.5 feet per plant and space.\n\n111 feet / 2.5 feet per plant = 44.4 plants.\n\nSince Pat can only buy whole plants, she can fit 44 plants in her flower bed.\n\nPat already owns 17 flowers, so she needs to buy 44 - 17 = 27 more flowers.\n\nEach flowering plant costs $6, so Pat will spend 27 plants * $6 per plant = $\\boxed{\\$162}$ at the store to fill up her flower bed.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Edgar eats 18 pretzels a day, then his brother eats 18/2 = 9 pretzels a day.\nIn a week, there are 7 days, so his brother eats 9 x 7 = 63 pretzels in a week.\n#### 63\nThe answer is: 63", "answer": {"result": 63.0}}, "matches": true} +{"solution": {"solution": "To calculate the total cost of filling all 5 hanging baskets with petunias and sweet potato vines, we follow these steps:\n\n1. First, calculate the cost of petunias for one basket. Since petunias cost $3.00 apiece and she wants to add 3 petunias per basket:\n\\[3 \\times 3 = \\$9.00\\]\n\n2. Next, calculate the cost of sweet potato vines for one basket. Since sweet potato vines cost $2.50 apiece and she wants to add 2 vines per basket:\n\\[2 \\times 2.50 = \\$5.00\\]\n\n3. To find the total cost for one basket, add the cost of petunias and sweet potato vines:\n\\[\\$9.00 + \\$5.00 = \\$14.00\\]\n\n4. Finally, to find the total cost for all 5 hanging baskets, multiply the cost per basket by the number of baskets:\n\\[5 \\times \\$14.00 = \\$70.00\\]\n\nTherefore, the total cost for Katherine to fill all 5 hanging baskets is $\\boxed{\\$70.00}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total weight of soil used for the carnations and sunflowers. \n\nFor the carnations:\n10 carnations * 1.5 pounds per carnation = 15 pounds\n\nFor the sunflowers:\n4 sunflowers * 3 pounds per sunflower = 12 pounds\n\nNow, let's add the weight used for the carnations and sunflowers:\n15 pounds (carnations) + 12 pounds (sunflowers) = 27 pounds\n\nNow, let's subtract the weight used for the carnations and sunflowers from the total weight of soil to find out how much is left for the roses:\n30 pounds (total soil) - 27 pounds (carnations and sunflowers) = 3 pounds\n\nFinally, let's calculate how many roses can be planted with the remaining soil:\n3 pounds / 1 pound per rose = 3 roses\n\nSo, they can plant $\\boxed{3}$ roses with the remaining soil.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Jessica sets aside 25% of her paycheck, which is 25/100 * $2,000.00 = $500.00 per month. \n\nIn a year, she sets aside $500.00 * 12 months = $6,000.00. \n\nEach pair of shoes costs $1,000.00, so she can buy $6,000.00 / $1,000.00 = 6 pairs of shoes in a year. \n\n#### 6\nThe answer is: 6", "answer": {"result": 6.0}}, "matches": true} +{"solution": {"solution": "If Emily can peel 6 shrimp a minute, then to peel 90 shrimp it would take her 90/6 = 15 minutes.\nTo saute 30 shrimp, it takes Emily 10 minutes.\nSo, in total, it would take Emily 15 + 10 = 25 minutes to peel and cook 90 shrimp.\n#### 25\nThe answer is: 25", "answer": {"result": 25.0}}, "matches": false} +{"solution": {"solution": "On low, the air conditioner cools the room 2 degrees per hour for 3 hours, so it cools the room 2 * 3 = 6 degrees.\nOn high, the air conditioner cools the room 3 degrees per hour for 4 hours, so it cools the room 3 * 4 = 12 degrees.\nIn total, the air conditioner cools the room 6 + 12 = 18 degrees.\nDuring the 2 hours when the air conditioner is off, the room warms up 2 degrees per hour, so it warms up 2 * 2 = 4 degrees.\nTherefore, the final temperature is 18 - 4 = 14 degrees lower than the starting temperature.\n#### 14\nThe answer is: 14", "answer": {"result": 14.0}}, "matches": true} +{"solution": {"solution": "1. Let's denote the current age of Bill as \\( b \\).\n2. Bill's father saw the comet Halley when he was 30 years old.\n3. According to the problem, Bill saw the comet when he was three times the age his father was when he saw it for the first time. Therefore, Bill saw the comet when he was \\( 3 \\times 30 = 90 \\) years old.\n4. Hence, we have:\n \\[\n b = 90\n \\]\n5. Comet Halley orbits the sun every 75 years. We need to find out how many times the comet has orbited since Bill's father saw it.\n6. Calculate the number of orbits since Bill's father saw the comet:\n \\[\n 75 \\times (90 - 30) = 75 \\times 60 = 4500 \\text{ years}\n \\]\n7. Given that comet Halley has a period of 75 years and it has orbited 4500 years since Bill's father saw it, we can determine that:\n \\[\n 4500 \\mod 75 = 0\n \\]\n8. This means that 4500 is exactly divisible by 75, confirming that the comet has completed exactly 60 orbits.\n9. Now, we need to find out when Bill saw the comet for the first time. We know that Bill saw it when he was 90 years old, and that happened after 60 orbits (75 years per orbit).\n10. Therefore, the first time Bill saw the comet must be:\n \\[\n 90 - 60 \\times 75 = 90 - 4500 = -4410\n \\]\n11. Since Bill cannot have been born before the first time his father saw the comet, this result indicates an error in the calculation. Let's retrace the steps.\n12. Bill saw the comet when he was 90 years old, and his father saw it when he was 30 years old. The first time Bill saw the comet must occur before his father's first sighting.\n13. The correct approach is to consider the difference in ages when Bill saw the comet:\n \\[\n 90 - 30 = 60 \\text{ years}\n \\]\n14. Therefore, Bill saw the comet for the first time 60 years before he was 90:\n \\[\n 90 - 60 = 30\n \\]\n\nConclusion:\n\\[\n\\boxed{30}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Buford writes 1 check per month for the electric bill, so that's 12 checks per year.\nHe also writes 1 check per month for the gas bill, so that's another 12 checks per year.\nHe writes checks to the church twice per month, so that's 2 checks per month, or 2 x 12 = 24 checks per year.\nHe writes a check to the pest and lawn service every quarter, so that's 4 checks per year.\nAdding up all the checks, Buford writes 12 + 12 + 24 + 4 = 52 checks per year.\n#### 52\nThe answer is: 52", "answer": {"result": 52.0}}, "matches": true} +{"solution": {"solution": "\n1. Let \\( x \\) be the number of flights the first plane makes in a day. According to the problem, the first plane makes three-quarters of its flights to Greece, and the rest are equally split between France and Germany.\n\n2. Therefore, the number of flights to Greece is \\( \\frac{3}{4}x \\).\n\n3. The remaining flights, which are equally split between France and Germany, are calculated as:\n \\[\n \\frac{1}{4}x \\text{ for France and } \\frac{1}{4}x \\text{ for Germany}\n \\]\n\n4. The second plane makes 44 trips to Poland. It is stated that these trips are half the number of trips the first plane makes in total, giving us the equation:\n \\[\n 44 = \\frac{1}{2}x\n \\]\n\n5. Solving for \\( x \\) from the equation above:\n \\[\n x = 44 \\times 2 = 88\n \\]\n\n6. Now, we know that the first plane makes 88 trips in total.\n\n7. The number of flights to France is \\( \\frac{1}{4}x \\). Substituting \\( x = 88 \\):\n \\[\n \\frac{1}{4} \\times 88 = 22\n \\]\n\n### Conclusion:\nThe first plane makes 22 flights to France in one day.\n\n\\[\n\\boxed{22}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Tobias howls for 20 seconds. Chikote howls twice as long as Tobias, so Chikote howls for 20 seconds x 2 = 40 seconds. Igneous howls for as long as Tobias and Chikote combined, so Igneous howls for 20 seconds + 40 seconds = 60 seconds.\n\nTo find the total length of time the three wolves howl, we add their individual times together:\n\n20 seconds (Tobias) + 40 seconds (Chikote) + 60 seconds (Igneous) = 120 seconds.\n\nThere are 60 seconds in a minute, so to convert the total seconds to minutes, we divide by 60:\n\n120 seconds \u00f7 60 seconds/minute = 2 minutes.\n\nTherefore, the combined length of time the three wolves' howls is $\\boxed{2}$ minutes.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Adam's father gave him twice as much as his mother, which means his father gave him 2 * $6 = $12. \n\nSo, the total amount Adam received from his parents is $12 (father) + $6 (mother) = $18.\n\nThe trousers cost $30, so the amount Adam had to contribute from his savings is $30 (cost of trousers) - $18 (total received from parents) = $12. \n\nAdam had to contribute $\\boxed{\\$12}$ from his savings.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Determine the average age of the group excluding Helene and Wilfred**:\n - The total age of the four children is given as 20.\n - The ages of Akbar and Alessandro are known: 3 years (Akbar) + 4 years (Alessandro) = 7 years.\n - Calculate the sum of the ages of Helene and Wilfred:\n \\[\n 20 - 7 = 13 \\text{ years}\n \\]\n - The average age of Helene and Wilfred is:\n \\[\n \\frac{13}{2} = 6.5 \\text{ years}\n \\]\n\n2. **Use the information that Helene is twice the average age of the group**:\n - Let \\( T \\) be the total age of the group including Helene and Wilfred.\n - The average age of the entire group (4 children) is:\n \\[\n \\frac{T}{4}\n \\]\n - Given that Helene is twice the average age of the entire group, we write:\n \\[\n 2 \\times \\frac{T}{4} = 6.5\n \\]\n - Simplify the equation:\n \\[\n \\frac{T}{2} = 6.5\n \\]\n - Solve for \\( T \\):\n \\[\n T = 6.5 \\times 2 = 13 \\text{ years}\n \\]\n\n3. **Calculate the age of Wilfred**:\n - From step 1, the sum of the ages of Helene and Wilfred is 13 years.\n - From step 2, the total age of the group (including Helene and Wilfred) is 13 years.\n - Therefore, the age of Wilfred is:\n \\[\n 13 - 6.5 = 6.5 \\text{ years}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{6.5}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Walter collects a total of $500 + $1500 = $2000 from his neighbors and the online fund. \n\nHis friend also donates $200.\n\nSo, the total amount collected before his lawyer's contribution is $2000 + $200 = $2200.\n\nWalter's lawyer offers to donate three times as much as everyone else donates, which is 3 * $2200 = $6600.\n\nTherefore, Walter's lawyer is going to contribute $\\boxed{\\$6600}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Dylan attended a wedding with 100 guests, and each guest brought a plate of 15 cookies. Therefore, the total number of cookies brought to the wedding is:\n\\[100 \\text{ guests} \\times 15 \\text{ cookies/guest} = 1500 \\text{ cookies}\\]\n\nThe bride decided to give half of these cookies to the church next door. Thus, the number of cookies given to the church is:\n\\[\\frac{1500 \\text{ cookies}}{2} = 750 \\text{ cookies}\\]\n\nSince each person in the church next door received 15 cookies, the number of people in the church can be calculated by dividing the total number of cookies given to the church by the number of cookies each person received:\n\\[750 \\text{ cookies} \\div 15 \\text{ cookies/person} = 50 \\text{ people}\\]\n\nTherefore, the number of people in the church next door is $\\boxed{50}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Define the sizes of the slices:**\n Let each kid's slice be denoted as \\( x \\). \n\n2. **Determine the size of the adult's slice:**\n Each adult's slice is twice as big as each kid's slice. Therefore, each adult's slice size is \\( 2x \\).\n\n3. **Calculate the total number of slices:**\n There are 6 people in total (2 adults and 4 kids).\n\n4. **Determine the total fraction of the watermelon:**\n Since there are 2 adults and 4 kids, the total number of slices is:\n \\[\n 2 \\text{ (adults)} + 4 \\text{ (kids)} = 6 \\text{ slices}\n \\]\n\n5. **Calculate the fraction of the watermelon that each adult gets:**\n Each adult gets:\n \\[\n 2 \\text{ slices} \\text{ (since there are 2 adults)}\n \\]\n\n6. **Convert the fraction to a percentage:**\n The percentage of the watermelon that each adult gets is calculated as:\n \\[\n \\frac{2}{6} \\times 100\\% = \\frac{200}{6}\\%\n \\]\n\n7. **Simplify the fraction:**\n \\[\n \\frac{200}{6} = \\frac{100}{3}\n \\]\n Converting this to a percentage:\n \\[\n \\frac{100}{3}\\% = 33\\frac{1}{3}\\%\n \\]\n\n8. **Conclusion:**\n Each adult gets \\( \\frac{100}{3} \\% \\) or \\( 33\\frac{1}{3}\\% \\) of the watermelon.\n\n\\[\n\\boxed{33\\frac{1}{3}\\%}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Doctor Jones is spending 9 hours at the clinic. \n\nHe has 9 inpatients, and each round takes 20 minutes, so the total time spent on rounds is 9 inpatients * 20 minutes per inpatient = 180 minutes. \n\nSince there are 60 minutes in an hour, 180 minutes is equal to 180 / 60 = 3 hours. \n\nHe also has 10 appointments, each taking 30 minutes, so the total time spent on appointments is 10 appointments * 30 minutes per appointment = 300 minutes. \n\nAgain, converting minutes to hours, 300 minutes is equal to 300 / 60 = 5 hours. \n\nTherefore, the total time spent on inpatients and appointments is 3 hours + 5 hours = 8 hours. \n\nIf Doctor Jones is spending a total of 9 hours at the clinic and 8 hours are accounted for, then he will have 9 - 8 = 1 hour left to update his records. \n\n#### 1\nThe answer is: 1", "answer": {"result": 1.0}}, "matches": true} +{"solution": {"solution": "To determine the latest time Jordan can start making the cake, we need to calculate the total time required for each step of the cake-making process and then subtract that from the desired serving time. \n\n1. **Preparation Time:**\n - Making the cake batter: $20$ minutes\n - Baking the cake: $30$ minutes\n\n2. **Cooling Time:**\n - Cooling the cake: $2$ hours (or $120$ minutes)\n\n3. **Frosting Time:**\n - Frosting the cake: $10$ minutes\n\n4. **Total Time Calculation:**\n - First, we add the preparation times:\n \\[\n 20 \\, \\text{minutes (batter)} + 30 \\, \\text{minutes (baking)} = 50 \\, \\text{minutes}\n \\]\n - Next, we add the cooling time:\n \\[\n 50 \\, \\text{minutes} + 120 \\, \\text{minutes (cooling)} = 170 \\, \\text{minutes}\n \\]\n - Finally, we add the frosting time:\n \\[\n 170 \\, \\text{minutes} + 10 \\, \\text{minutes (frosting)} = 180 \\, \\text{minutes}\n \\]\n\n5. **Calculating the Latest Start Time:**\n - The cake needs to be ready by $5:00$ pm. To find out the latest Jordan can start making the cake, we subtract the total time from the desired serving time:\n \\[\n 180 \\, \\text{minutes} = 3 \\, \\text{hours}\n \\]\n - Therefore, Jordan must start making the cake by $5:00 \\, \\text{pm} - 3:00 \\, \\text{hours} = 2:00 \\, \\text{pm}$.\n\nHence, the latest time Jordan can start making the cake to serve it at $5:00$ pm is at $\\boxed{2:00 \\, \\text{pm}}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how many chocolate bars are in a box, we first need to determine the total number of boxes sold by both Lisa and Peter. \n\nLisa sold three and a half boxes, and Peter sold four and a half boxes. \n\nTotal number of boxes sold = Lisa's boxes + Peter's boxes\nTotal number of boxes sold = 3.5 + 4.5\nTotal number of boxes sold = 8\n\nThey sold a total of 64 chocolate bars. To find out how many chocolate bars are in a box, we divide the total number of chocolate bars by the total number of boxes.\n\nNumber of chocolate bars in a box = Total number of chocolate bars / Total number of boxes\nNumber of chocolate bars in a box = 64 / 8\nNumber of chocolate bars in a box = 8\n\nTherefore, there are $8$ chocolate bars in a box.\n\nThe final answer is encapsulated as $\\boxed{8}$.\n\nThis solution follows the given problem statement and uses basic arithmetic operations to find the number of chocolate bars in a box. The problem involves a straightforward division operation to determine the quantity per box, which is a fundamental mathematical concept.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nFirst, let's calculate the daily earnings:\n\nDaily rental cost = $25/session\nDaily number of sessions = 3\nDaily earnings from rental = $25/session * 3 sessions = $75/day\n\nDaily cost per student = $1.50/student/session\nNumber of students = 10\nDaily earnings from students = $1.50/student/session * 10 students * 3 sessions = $45/day\n\nTotal daily earnings = Daily earnings from rental + Daily earnings from students\nTotal daily earnings = $75 + $45 = $120/day\n\nNow, let's calculate the monthly earnings:\n\nNumber of days in a month = 30 (for simplicity, assuming a 30-day month)\n\nMonthly earnings = Total daily earnings * Number of days in a month\nMonthly earnings = $120/day * 30 days = $3600\n\nThe expected earnings of the dance studio in a month are $3600.\n\nAnswer:\n\n$3600\n\n3600", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nLet's denote the number of chocolate bars in each of Peter's boxes as P and the number of chocolate bars in each of Martha's boxes as M.\n\nFrom the problem, we know that:\n\n- Peter has 4 boxes, so the total number of chocolate bars he has is 4P.\n- Martha has 7 boxes, so the total number of chocolate bars she has is 7M.\n- Peter has 64 chocolate bars in total, so 4P = 64.\n- Martha has 56 chocolate bars in total, so 7M = 56.\n\nWe can solve for P and M:\n\n4P = 64 => P = 64 / 4 = 16\n7M = 56 => M = 56 / 7 = 8\n\nNow, we want to find out how many more chocolate bars Peter has in each box than Martha. This can be calculated as P - M:\n\nP - M = 16 - 8 = 8\n\nPeter has $\\boxed{8}$ more chocolate bars in each box than Martha.\n\nAnswer: 8", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nThe number of female porcupines is 3/5 of the total population, so there are 3/5 * 50 = 30 female porcupines. \n\nEach female porcupine gives birth to 4 babies every month, so in a year (12 months), each female porcupine will have 4 * 12 = 48 babies. \n\nSince there are 30 female porcupines, the total number of babies born in a year is 30 * 48 = 1440. \n\nThe initial population of porcupines is 50, so after a year, the population will be 50 + 1440 = 1490. \n\n#### 1490\nThe answer is: 1490", "answer": {"result": 1490.0}}, "matches": true} +{"solution": {"solution": "To calculate the volume of the pool, I need to multiply the length, width, and depth of the pool. I can convert the units to feet and inches, since that's easier to work with. The pool is 14 feet wide, 25 feet long, and 4 feet deep. Multiplying these numbers, I get 14 * 25 * 4 = 1400 cubic feet. To convert cubic feet to gallons, I need to multiply by a conversion factor. I recall that 1 cubic foot is equivalent to 7.48 gallons. So, I multiply 1400 by 7.48 and get 10472 gallons. Now, I need to multiply this by 5.9, as the pool company instructed. Multiplying 10472 by 5.9, I get 61784.8 gallons. This is the amount of water I need to buy. The cost is $0.10 per gallon, so I multiply 61784.8 by 0.10 and get 6178.48. Rounding to the nearest cent, I get 6178.48. This is the final cost to fill the pool.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, we'll break down the information given and calculate the number of sticks of each color step by step.\n\n1. **Determine the number of blue sticks**: The problem states there are 5 more blue sticks than red sticks. Since there are 9 red sticks, we calculate the number of blue sticks as follows:\n \\[\n \\text{Blue sticks} = 9 \\, \\text{red sticks} + 5 = 14\n \\]\n So, there are $14$ blue sticks.\n\n2. **Determine the number of yellow sticks**: The number of yellow sticks is 3 less than the number of blue sticks. Given there are 14 blue sticks, we find the number of yellow sticks as:\n \\[\n \\text{Yellow sticks} = 14 \\, \\text{blue sticks} - 3 = 11\n \\]\n Therefore, there are $11$ yellow sticks.\n\n3. **Calculate the total number of sticks**: To find the total number of sticks, we add the number of red, blue, and yellow sticks together:\n \\[\n \\text{Total sticks} = 9 \\, \\text{red sticks} + 14 \\, \\text{blue sticks} + 11 \\, \\text{yellow sticks} = 34\n \\]\n\nHence, the total number of sticks they have is $\\boxed{34}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Matteo traveled at a speed of 55 miles per hour for 4 hours, so he traveled a total of 55 * 4 = 220 miles.\n\nShandy traveled at a speed of 45 miles per hour for 10 hours, so she traveled a total of 45 * 10 = 450 miles.\n\nTo find out how many miles farther Shandy drove than Matteo, we subtract Matteo's distance from Shandy's distance: 450 - 220 = 230 miles.\n\nShandy drove $\\boxed{230}$ miles farther than Matteo.The answer is: 230", "answer": {"result": 230.0}}, "matches": true} +{"solution": {"solution": "1. **Determine the number of students over 16 years old**: \n - Total number of students: 3000.\n - Half of the students are over 16 years old:\n \\[\n \\frac{3000}{2} = 1500 \\text{ students}\n \\]\n\n2. **Determine the number of male students over 16 years old**:\n - One-fourth of the students over 16 years old are male:\n \\[\n \\frac{1500}{4} = 375 \\text{ males}\n \\]\n\n3. **Determine the number of female students over 16 years old**:\n - Subtract the number of male students over 16 from the total number of students over 16:\n \\[\n 1500 - 375 = 1125 \\text{ females over 16}\n \\]\n\n4. **Determine the number of students under 16 years old**:\n - Half of the students are under 16 years old:\n \\[\n \\frac{3000}{2} = 1500 \\text{ students}\n \\]\n\n5. **Determine the number of male students under 16 years old**:\n - Half of the students under 16 are male:\n \\[\n \\frac{1500}{2} = 750 \\text{ males}\n \\]\n\n6. **Determine the number of female students under 16 years old**:\n - Subtract the number of male students under 16 from the total number of students under 16:\n \\[\n 1500 - 750 = 750 \\text{ females under 16}\n \\]\n\n7. **Calculate the total number of female students**:\n - Add the number of female students over 16 and under 16:\n \\[\n 1125 + 750 = 1875 \\text{ females}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{1875}\n\\]\n\nThis detailed step-by-step calculation confirms the total number of female students in Brook Hills High School is 1875.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Bethany can run 10 laps in one hour.\n\nTrey can run 4 more laps than Bethany, so Trey can run 10 + 4 = 14 laps in one hour.\n\nShaelyn can run half as many laps as Trey, so Shaelyn can run 14 / 2 = 7 laps in one hour.\n\nQuinn can run 2 fewer laps than Shaelyn, so Quinn can run 7 - 2 = 5 laps in one hour.\n\nTo find out how many more laps Bethany can run compared to Quinn, we subtract the number of laps Quinn can run from the number of laps Bethany can run:\n\nBethany's laps - Quinn's laps = 10 - 5 = 5\n\nBethany can run $\\boxed{5}$ more laps than Quinn.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nFirst, let's find out how much water Wanda pumped on the first day. Since Wanda filled 1/4 of the tank's capacity, she pumped:\n\n\\[\n\\frac{1}{4} \\times 18000 = 4500 \\text{ gallons}\n\\]\n\nMs. B pumped 3/4 as much water as Wanda, so she pumped:\n\n\\[\n3/4 \\times 4500 = 3375 \\text{ gallons}\n\\]\n\nOn the second day, Wanda pumped 2/3 of the amount of water she pumped on the first day, so she pumped:\n\n\\[\n2/3 \\times 4500 = 3000 \\text{ gallons}\n\\]\n\nMs. B pumped 1/3 of the number of gallons she pumped on the first day, so she pumped:\n\n\\[\n1/3 \\times 3375 = 1125 \\text{ gallons}\n\\]\n\nNow, let's find the total amount of water pumped into the tank over the two days:\n\n\\[\n4500 + 3375 + 3000 + 1125 = 12000 \\text{ gallons}\n\\]\n\nTo find out how many gallons are remaining for the tank to be full, we subtract the total amount of water pumped from the tank's capacity:\n\n\\[\n18000 - 12000 = 6000 \\text{ gallons}\n\\]\n\nTherefore, there are $\\boxed{6000}$ gallons of water remaining for the tank to be full.\n\nAnswer: $6000$", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote the initial charge of the power bank as \\( C \\) (in percentage).\n\nFrom the information given, Maria's power bank lost 9% of its capacity each hour for the first 5 hours. This means that after 5 hours, the power bank had \\( C - 5 \\times 9\\% \\) of its capacity remaining.\n\nThen, for the next 3 hours, the power bank lost 7% of its capacity each hour. This means that after these 3 hours, the power bank had \\( (C - 5 \\times 9\\%) - 3 \\times 7\\% \\) of its capacity remaining.\n\nWe are told that in the end, the charge remaining was 28%. So we can set up the following equation:\n\n\\[ (C - 5 \\times 9\\%) - 3 \\times 7\\% = 28\\% \\]\n\nFirst, let's convert the percentages to decimals for easier calculation:\n\n\\[ 9\\% = 0.09 \\]\n\\[ 7\\% = 0.07 \\]\n\nNow, let's plug in the values into the equation:\n\n\\[ (C - 5 \\times 0.09) - 3 \\times 0.07 = 0.28 \\]\n\nSimplify the equation:\n\n\\[ C - 0.45 - 0.21 = 0.28 \\]\n\nCombine like terms:\n\n\\[ C - 0.66 = 0.28 \\]\n\nNow, add 0.66 to both sides to solve for \\( C \\):\n\n\\[ C = 0.28 + 0.66 \\]\n\n\\[ C = 0.94 \\]\n\nSo, the initial charge of the power bank when Maria went out to the park was $\\boxed{94\\%}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the total amount Janet needs to save for a down payment on a $10,000 car, we first determine the 20% of the car's cost. \n\n- The down payment amount is calculated as:\n\\[ \\$10,000 \\times \\frac{20}{100} = \\$2,000 \\]\n\nNext, we calculate Janet's total earnings per week, which include both her hourly wage and tips.\n\n- Her total earnings per week are:\n\\[ \\$10 \\times 40 + \\$15 \\times 40 = \\$400 + \\$600 = \\$1,000 \\]\n\nTo find out how many weeks Janet needs to work to save $2,000, we divide the total down payment amount by her weekly earnings.\n\n- The number of weeks she needs to work is:\n\\[ \\$2,000 / \\$1,000 = 2 \\]\n\nTherefore, Janet needs to work for $\\boxed{2}$ weeks to save enough for the down payment on the car.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total cost of the peaches, pears, kiwis, and apples that Jamaar has already purchased. \n\nThe cost of peaches is $0.50 each, and he has purchased 3 peaches, so the total cost for peaches is 3 * $0.50 = $1.50.\n\nThe cost of pears is $0.50 each, and he has purchased 4 pears, so the total cost for pears is 4 * $0.50 = $2.00.\n\nThe cost of kiwis is $1.00 each, and he has purchased 2 kiwis, so the total cost for kiwis is 2 * $1.00 = $2.00.\n\nThe cost of apples is $0.75 each, and he has purchased 5 apples, so the total cost for apples is 5 * $0.75 = $3.75.\n\nNow, let's add up the total cost of all the fruits he has already bought:\n\nTotal cost = Cost of peaches + Cost of pears + Cost of kiwis + Cost of apples\nTotal cost = $1.50 + $2.00 + $2.00 + $3.75\nTotal cost = $9.25\n\nJamaar has $10 to spend, and he has already spent $9.25, so he has:\n\n$10 - $9.25 = $0.75 left to spend on plums.\n\nSince plums cost $0.25 each, Jamaar can buy:\n\n$0.75 / $0.25 = 3 plums\n\nTherefore, Jamaar can buy $\\boxed{3}$ plums with the money he has left.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Anne kept 2 packs for herself, so she gave away 15 - 2 = 13 packs to her friends. \n\nThere are 10 friends in total, so each friend received 13 packs / 10 friends = 1.3 packs. \n\nSince each pack contains 60 pieces, each friend received 1.3 packs * 60 pieces per pack = 78 pieces of sweets. \n\n#### 78\nThe answer is: 78", "answer": {"result": 78.0}}, "matches": true} +{"solution": {"solution": "\nTo calculate the new price of carrots after three years, given that the price increases by 5% each year, we can use the formula for compound interest. The formula to calculate the future value (FV) is:\n\n\\[\nFV = P \\times (1 + r)^n\n\\]\n\nWhere:\n- \\( P \\) is the initial price,\n- \\( r \\) is the rate of increase (as a decimal),\n- \\( n \\) is the number of years.\n\n1. **Identify the values:**\n - Initial price, \\( P = 120 \\) dollars.\n - Rate of increase, \\( r = 5\\% = 0.05 \\).\n - Number of years, \\( n = 3 \\).\n\n2. **Apply the formula:**\n\n \\[\n FV = 120 \\times (1 + 0.05)^3\n \\]\n\n3. **Calculate the exponent:**\n \n \\[\n (1 + 0.05) = 1.05\n \\]\n\n4. **Raise 1.05 to the power of 3:**\n\n \\[\n 1.05^3 = 1.05 \\times 1.05 \\times 1.05\n \\]\n\n5. **Perform the multiplication step-by-step:**\n\n \\[\n 1.05 \\times 1.05 = 1.1025\n \\]\n \\[\n 1.1025 \\times 1.05 = 1.157625\n \\]\n\n6. **Multiply by the initial price:**\n\n \\[\n 120 \\times 1.157625 = 138.915\n \\]\n\n7. **Round to the nearest integer:**\n\n \\[\n 138.915 \\approx 139 \\text{ dollars}\n \\]\n\n### Conclusion:\n\nThe price of carrots after three years will be approximately 139 dollars.\n\n\\[\n\\boxed{139}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Olivia put the same number of pictures into 8 albums, then she had 72/8 = 9 pictures in each album. \n\nSince 3 of the albums were selfies only, and she had 9 pictures in each, that means she had 3 * 9 = 27 selfies. \n\nThe 2 albums that were portraits also had 9 pictures each, so she had 2 * 9 = 18 portraits. \n\nIn total, Olivia had 27 selfies + 18 portraits = $\\boxed{45}$ selfies and portraits.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "James reads 3 pages in 10 minutes, so he reads 1 page in 10/3 = 10/3 minutes.\nTo read 18 pages, James would spend 18 * (10/3) = 60 minutes.\n#### 60\nThe answer is: 60", "answer": {"result": 60.0}}, "matches": true} +{"solution": {"solution": "To solve the problem step by step, we follow the sequence of events described:\n\n1. **Initial Number of Guests**: The hotel started with 100 guests.\n2. **Early Checkouts**: 24 guests opted for an early checkout. This leaves us with:\n \\[\n 100 - 24 = 76 \\text{ guests}\n \\]\n3. **Late Checkouts**: 15 guests opted for a late checkout. This reduces the number of guests to:\n \\[\n 76 - 15 = 61 \\text{ guests}\n \\]\n4. **Afternoon Check-ins**: Twice as many people checked in as those who opted for a late checkout. Since 15 guests opted for a late checkout, the number of new check-ins is:\n \\[\n 2 \\times 15 = 30\n \\]\n Adding these new guests to the existing number, we now have:\n \\[\n 61 + 30 = 91 \\text{ guests}\n \\]\n5. **Dinner Check-ins**: After dinner, 7 more people checked in. Including these new guests, the total number of guests is:\n \\[\n 91 + 7 = 98 \\text{ guests}\n \\]\n\nTherefore, the hotel now has $\\boxed{98}$ guests.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "On Wednesday, John picks 4 bananas. \nOn Thursday, he picks 6 bananas. \nOn Friday, he picks triple the number of bananas he did on Wednesday, so he picks 4 * 3 = 12 bananas. \n\nTo find the total number of bananas John has, we add the number of bananas from each day: 4 + 6 + 12 = 22. \n\nJohn has a total of 22 bananas. \n#### 22\nThe answer is: 22", "answer": {"result": 22.0}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the number of easy, average, and difficult questions:**\n\n Given that there are 60 quiz questions, and 40% of them are easy, we can calculate the number of easy questions as follows:\n \\[\n 0.40 \\times 60 = 24 \\text{ easy questions}\n \\]\n\n2. **Calculate the distribution of average and difficult questions:**\n\n The remaining 60% of the questions are divided equally between average and difficult questions. Hence, the number of average and difficult questions each is:\n \\[\n \\frac{60\\% \\text{ of } 60}{2} = \\frac{0.60 \\times 60}{2} = 18 \\text{ questions each}\n \\]\n\n3. **Estimate Aries' performance on each type of question:**\n\n - **Easy questions:** Aries is sure to get 75% of the easy questions correctly. Therefore, she will get:\n \\[\n 0.75 \\times 24 = 18 \\text{ easy questions correct}\n \\]\n\n - **Average questions:** Aries is sure to get half of these questions correctly. Therefore, she will get:\n \\[\n \\frac{1}{2} \\times 18 = 9 \\text{ average questions correct}\n \\]\n\n - **Difficult questions:** Similarly, Aries is sure to get half of the difficult questions correctly. Therefore, she will get:\n \\[\n \\frac{1}{2} \\times 18 = 9 \\text{ difficult questions correct}\n \\]\n\n4. **Total points Aries is sure to get:**\n\n Now, sum the points from each category to find the total points:\n \\[\n 18 \\text{ (easy)} + 9 \\text{ (average)} + 9 \\text{ (difficult)} = 36 \\text{ points}\n \\]\n\n### Conclusion\n\nAries is sure to get:\n\\[\n\\boxed{36}\n\\] points.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. Let \\( s \\) represent the cost of a small stuffed animal.\n2. According to the problem, Teresa sells large stuffed animals for three times the price of small ones, so each large stuffed animal costs \\( 3s \\).\n3. Teresa sold twice as many small stuffed animals as large ones.\n4. The total amount of money she earned from selling the toys is $120.\n5. Expressing the revenue from both types of toys, we can write:\n \\[\n (2 \\times \\text{number of small stuffed animals}) \\times s + (\\text{number of large stuffed animals}) \\times (3s) = 120\n \\]\n6. Simplify the equation:\n \\[\n 2s \\times (\\text{number of small stuffed animals}) + 3s \\times (\\text{number of large stuffed animals}) = 120\n \\]\n7. Let \\( x \\) be the number of small stuffed animals sold. Then the number of large stuffed animals sold is \\( \\frac{x}{2} \\).\n8. Substitute these into the equation:\n \\[\n 2s x + 3s \\left(\\frac{x}{2}\\right) = 120\n \\]\n9. Simplify:\n \\[\n 2s x + \\frac{3s x}{2} = 120\n \\]\n10. Combine the terms on the left-hand side:\n \\[\n 2s x + \\frac{3s x}{2} = \\frac{4s x}{2} + \\frac{3s x}{2} = \\frac{7s x}{2}\n \\]\n11. So the equation becomes:\n \\[\n \\frac{7s x}{2} = 120\n \\]\n12. Solving for \\( x \\):\n \\[\n 7s x = 240\n \\]\n13. Divide both sides by \\( 7s \\):\n \\[\n x = \\frac{240}{7s}\n \\]\n14. Given that \\( s = 4 \\):\n \\[\n x = \\frac{240}{7 \\times 4} = \\frac{240}{28} = 8.5714 \\approx 9\n \\]\n\n15. Therefore, Teresa sold 9 small stuffed animals.\n\nConclusion:\n\\[\n\\boxed{9}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the total number of sandwiches eaten by the family in one week, we need to calculate the daily consumption and then multiply it by the number of days in a week.\n\n1. Calculate the daily sandwich consumption for the man:\n \\[\n 5 \\text{ sandwiches/day}\n \\]\n\n2. Calculate the daily sandwich consumption for the wife:\n \\[\n 4 \\text{ sandwiches/day}\n \\]\n\n3. Calculate the daily sandwich consumption for their son:\n \\[\n 2 \\text{ sandwiches/day}\n \\]\n\n4. Sum the daily sandwich consumption to find the total daily consumption:\n \\[\n 5 + 4 + 2 = 11 \\text{ sandwiches/day}\n \\]\n\n5. Determine the number of days in a week:\n \\[\n 7 \\text{ days}\n \\]\n\n6. Multiply the total daily consumption by the number of days in a week:\n \\[\n 11 \\text{ sandwiches/day} \\times 7 \\text{ days} = 77 \\text{ sandwiches}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{77}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Suzanne earned $1 x 80 = $80 from selling cookies.\nShe earned $4 x 60 = $240 from selling cupcakes.\nShe gave her two sisters a total of 2 x $10 = $20.\nTherefore, Suzanne has a total of $80 + $240 - $20 = $300 left from her earnings.\n#### 300\nThe answer is: 300", "answer": {"result": 300.0}}, "matches": true} +{"solution": {"solution": "The Smith twins found a total of 30 eggs each, so together they found 30 * 2 = 60 eggs.\n\nThe total number of eggs found by the Smith twins and the friends is 100 - 10 = 90 eggs.\n\nTo find out how many eggs the friends found, we subtract the number of eggs the Smith twins found from the total number of eggs found by everyone except themselves: 90 - 60 = 30.\n\nThe friends found $\\boxed{30}$ eggs.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Determine the amount of ore a dwarf can mine per day with an iron pickaxe:**\n\n Given: A dwarf mines 12 pounds of ore per day using bare hands.\n With an iron pickaxe, he mines twice as much.\n\n \\[\n \\text{Ore mined per day with an iron pickaxe} = 2 \\times 12 = 24 \\text{ pounds}\n \\]\n\n2. **Determine the amount of ore a dwarf can mine per day with a steel pickaxe:**\n\n Given: A dwarf mines 50% more ore with a steel pickaxe compared to an iron pickaxe.\n\n \\[\n \\text{Ore mined per day with a steel pickaxe} = 24 + 50\\% \\times 24 = 24 + 0.5 \\times 24 = 24 + 12 = 36 \\text{ pounds}\n \\]\n\n3. **Calculate the total ore mined by 40 dwarves using steel pickaxes in one day:**\n\n \\[\n \\text{Total ore mined by 40 dwarves in one day} = 40 \\times 36 = 1440 \\text{ pounds}\n \\]\n\n4. **Calculate the total ore mined by 40 dwarves using steel pickaxes in one month (30 days):**\n\n \\[\n \\text{Total ore mined in one month} = 1440 \\times 30 = 43200 \\text{ pounds}\n \\]\n\n### Conclusion:\n\n\\[\n\\boxed{43200 \\text{ pounds}}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. We are given three different package sizes of sandwiches with their respective prices:\n - Package 1: 2 sandwiches for $3\n - Package 2: 4 sandwiches for $6\n - Package 3: 8 sandwiches (price unknown)\n\n2. The problem states that the prices are proportional, meaning the ratio of the cost to the number of sandwiches is constant across all packages.\n\n3. Let's denote the price of the third package (8 sandwiches) as \\( x \\).\n\n4. For the first package (2 sandwiches at $3):\n \\[\n \\text{Cost per sandwich} = \\frac{3}{2} = 1.5\n \\]\n\n5. For the second package (4 sandwiches at $6):\n \\[\n \\text{Cost per sandwich} = \\frac{6}{4} = 1.5\n \\]\n\n6. Since the cost per sandwich is constant (1.5 dollars per sandwich), we can compute the price of the third package (8 sandwiches):\n \\[\n \\text{Total cost for 8 sandwiches} = 1.5 \\times 8\n \\]\n\n7. Perform the multiplication:\n \\[\n 1.5 \\times 8 = 12\n \\]\n\n8. Therefore, the price of the third package (8 sandwiches) is:\n \\[\n x = 12\n \\]\n\n### Conclusion:\n\\[\n\\boxed{12}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Tom buys a bedroom set for $3000 and sells his old bedroom set for $1000. \nThe amount he needs to pay for the new bedroom set is $3000 - $1000 = $2000.\nHe then has to pay 10% of the remaining amount per month.\n10% of $2000 is $2000 * 0.10 = $200.\nTherefore, Tom has to pay $200 per month.\n#### 200\nThe answer is: 200", "answer": {"result": 200.0}}, "matches": true} +{"solution": {"solution": "First, let's calculate the number of red balloons that burst due to the gust of wind. \n\n40% of 25 red balloons burst:\n40% of 25 = 0.40 * 25 = 10 red balloons burst.\n\nNow, let's find out how many red balloons are left:\n25 red balloons - 10 burst = 15 red balloons remaining.\n\nNext, let's calculate how many yellow balloons Sally accidentally released:\n\nHalf of the 12 yellow balloons were released:\n12 yellow balloons / 2 = 6 yellow balloons released.\n\nNow, let's find out how many yellow balloons are left:\n12 yellow balloons - 6 released = 6 yellow balloons remaining.\n\nSally found 8 blue balloons in a tree, and she added 75% of them to her remaining balloons:\n\n75% of 8 blue balloons:\n75% of 8 = 0.75 * 8 = 6 blue balloons added.\n\nNow, let's add the blue balloons to her remaining balloons:\n15 red balloons + 6 yellow balloons + 6 blue balloons = 27 balloons in total.\n\nTherefore, Sally finally carried into the school a total of $\\boxed{27}$ balloons.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the percentage chance that Marcus will have to turn in his homework, we can calculate the probability of the opposite events happening and subtract them from 100%.\n\n1. **Probability of no substitute and no extension:**\n - The probability of no substitute teacher is \\(1 - 0.5 = 0.5\\).\n - Given no substitute, the probability of no extension is \\(1 - 0.4 = 0.6\\).\n - Therefore, the probability of both events (no substitute and no extension) is \\(0.5 \\times 0.6 = 0.3\\).\n\n2. **Probability of no substitute, extension, but no personal extension:**\n - The probability of no substitute is \\(0.5\\).\n - The probability of an extension is \\(0.4\\).\n - Given an extension, the probability of no personal extension is \\(1 - 0.2 = 0.8\\).\n - Therefore, the probability of both a class extension and no personal extension is \\(0.5 \\times 0.4 \\times 0.8 = 0.16\\).\n\n3. **Probability of a substitute and personal extension:**\n - The probability of a substitute is \\(0.5\\).\n - Given a substitute, the probability of a personal extension is \\(0.2\\).\n - Therefore, the probability of both a substitute and a personal extension is \\(0.5 \\times 0.2 = 0.1\\).\n\n4. **Total probability that Marcus does not have to turn in his homework:**\n - Adding the probabilities from steps 1, 2, and 3: \\(0.3 + 0.16 + 0.1 = 0.56\\).\n\n5. **Probability that Marcus has to turn in his homework:**\n - Subtracting the total probability from 100%: \\(100\\% - 0.56 = 94\\%\\).\n\nThus, the percentage chance that Marcus will actually have to turn in his homework is $\\boxed{94\\%}$.The answer is: 94", "answer": {"result": 94.0}}, "matches": false} +{"solution": {"solution": "The total number of seats available for guests is 6000 - 950 - 300 = 4750.\n\nIf the 950 graduates are given an equal number of tickets to distribute, each graduate would receive 4750 / 950 = $\\boxed{5}$ tickets.\nThe answer is: 5", "answer": {"result": 5.0}}, "matches": true} +{"solution": {"solution": "\nTo solve this problem, let's break it down step by step, following the given information and mathematical calculations:\n\n1. **Calculate the number of medium-sized jelly beans Grandpa can eat:**\n - Grandpa can eat 75 large jelly beans.\n - Since he can eat twice as many medium-sized beans as large beans, the number of medium-sized beans he can eat is:\n $$\n 75 \\times 2 = 150 \\text{ medium-sized beans}\n $$\n\n2. **Determine the equivalent number of small beans for the medium-sized beans:**\n - Eating 3 small beans is the same as eating 1 medium-sized bean.\n - Therefore, the number of small beans equivalent to 150 medium-sized beans is:\n $$\n 150 \\div 3 = 50 \\text{ small beans}\n $$\n\n3. **Conclusion:**\n - Grandpa can eat 50 small jelly beans.\n\nHence, the final answer, encapsulated as requested, is $\\boxed{50}$.\n\n*Remarks*: This problem demonstrates the importance of understanding ratios and proportions in problem-solving. By first finding how many medium-sized jelly beans Grandpa can eat and then converting that to small beans using the given ratio, we arrive at the solution.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Melissa spends 6 hours a day for 3 days, so she spends a total of 6 * 3 = 18 hours on jury duty. \n\nShe is paid $15 per day, so for 3 days, she earns $15 * 3 = $45. \n\nShe also has to pay $3 for parking each day, so for 3 days, she pays a total of $3 * 3 = $9 for parking. \n\nHer total expenses for parking are $9. \n\nHer total earnings are $45. \n\nHer total expenses are $9. \n\nHer total pay after expenses is $45 - $9 = $36. \n\nTo find out how much she makes per hour after expenses, we divide her total pay after expenses by the total number of hours she spent on jury duty. \n\n$36 / 18 hours = $2 per hour after expenses. \n\n#### 2\nThe answer is: 2", "answer": {"result": 2.0}}, "matches": true} +{"solution": {"solution": "Ted buys 3 books for $16 each, so the total cost of the books is 3 * $16 = $48. \n\nHe also buys 3 pencils for $6 each, so the total cost of the pencils is 3 * $6 = $18. \n\nTo find the total amount Ted spent, we add the cost of the books and the cost of the pencils: $48 + $18 = $66. \n\nTed had $200 initially, so the amount he spent is $66. \n\nTo check if we made any errors, we can subtract the total amount spent from the initial amount to see if we get $200: $200 - $66 = $134. \n\nThis means Ted has $134 left, which is indeed the remaining amount after spending $66. \n\nTherefore, Ted spent a total of $66. \n\n#### 66\nThe answer is: 66", "answer": {"result": 66.0}}, "matches": true} +{"solution": {"solution": "\n\nFirst, we need to determine how many bottles of soda Richard will place along the driveway. Since the driveway is 24 feet wide and he wants to put a bottle every 3 feet, we divide the width of the driveway by the distance between bottles:\n\n\\[24 \\div 3 = 8\\]\n\nSo, Richard will have 8 bottles of soda along the driveway.\n\nNext, we calculate the total time it will take Richard to go from one soda bottle to the next, dropping the candy in. Since it takes him 5 seconds to go from one bottle to the next, and he has 8 bottles, we multiply the time per trip by the number of trips:\n\n\\[8 \\times 5 = 40\\]\n\nTherefore, it will take Richard a total of $\\boxed{40}$ seconds to set off all the soda fountains.\n\nAnswer: 40", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "One box contains 40 apples, so two boxes contain 40 x 2 = 80 apples.\nUncle Franky wants to pack the apples with 8 apples in one pack, so he can make 80 / 8 = 10 packs of apples.\n#### 10\nThe answer is: 10", "answer": {"result": 10.0}}, "matches": true} +{"solution": {"solution": "To calculate how much money Amor will have left after purchasing the cheeses, we follow these steps:\n\n1. First, calculate the total cost of Parmesan cheese. Amor buys 2 pounds of Parmesan at $11 per pound. The total cost for Parmesan is calculated as:\n\\[2 \\, \\text{pounds} \\times \\$11/\\text{pound} = \\$22\\]\n\n2. Next, calculate the total cost of mozzarella cheese. Amor buys 3 pounds of mozzarella at $6 per pound. The total cost for mozzarella is calculated as:\n\\[3 \\, \\text{pounds} \\times \\$6/\\text{pound} = \\$18\\]\n\n3. Add the total costs of both cheeses to find the total amount spent on cheese:\n\\[\\$22 + \\$18 = \\$40\\]\n\n4. Finally, subtract the total amount spent on cheese from the initial amount of cash Amor has to find out how much she has left for meat:\n\\[\\$50 - \\$40 = \\$10\\]\n\nTherefore, Amor will have $\\boxed{\\$10}$ left to buy meat.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total amount of loans Jim took out during his college years. \n\nHe took out $50,000 in loans each year for 4 years, so the total amount of loans is:\n$50,000/year * 4 years = $200,000\n\nNext, we need to account for the money he lost by not working during his college years. Assuming he would have earned $25,000 a year, the total amount he would have earned over 4 years without going to college is:\n$25,000/year * 4 years = $100,000\n\nNow, we need to find out how much extra money Jim would need to earn, beyond the $100,000 he would have earned without college, to pay off the $200,000 in loans.\n\nThe extra money needed = Total loans - Money not earned during college\nExtra money needed = $200,000 - $100,000 = $100,000\n\nSince Jim's college degree tripled his income, we need to find out how much he would earn after college. If he tripled his previous income, he would now earn:\n$25,000/year * 3 = $75,000/year\n\nNow we need to calculate how many years it would take for Jim to earn the extra $100,000 at his new income level.\n\nNumber of years needed = Extra money needed / New annual income\nNumber of years needed = $100,000 / $75,000/year = 1.333... years\n\nSince Jim can't work for a fraction of a year, we'll round up to the nearest whole year. It would take Jim $\\boxed{2}$ full years to earn the equivalent of his loans and the money he lost from not working while in school.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the dimensions of the fabric pieces Jim needs.\n\nThe bed's dimensions are 6 feet by 8 feet. To find the dimensions of the fabric pieces, we add 2 feet to both the length and the width of the bed.\n\nLength of fabric piece = Length of bed + 2 feet = 6 feet + 2 feet = 8 feet\nWidth of fabric piece = Width of bed + 2 feet = 8 feet + 2 feet = 10 feet\n\nNow, we can calculate the area of one fabric piece:\n\nArea of one fabric piece = Length of fabric piece \u00d7 Width of fabric piece\nArea of one fabric piece = 8 feet \u00d7 10 feet = 80 square feet\n\nSince Jim needs two pieces of fabric, we need to calculate the total area for both pieces:\n\nTotal area of fabric needed = Area of one fabric piece \u00d7 2\nTotal area of fabric needed = 80 square feet \u00d7 2 = 160 square feet\n\nTherefore, Jim needs to buy $\\boxed{160}$ square feet of fabric.The answer is: 160", "answer": {"result": 160.0}}, "matches": true} +{"solution": {"solution": "On Monday, the post office delivered 425 letters.\n\nOn Tuesday, they delivered 17 more than one-fifth as many as Monday.\nOne-fifth of Monday's delivery is 425 / 5 = 85 letters.\nSo, Tuesday's delivery is 85 + 17 = 102 letters.\n\nOn Wednesday, they delivered 5 more than twice as many as they delivered on Tuesday.\nTwice Tuesday's delivery is 2 * 102 = 204 letters.\nSo, Wednesday's delivery is 204 + 5 = 209 letters.\n\nTo find the total delivery from Monday to Wednesday, we add the deliveries for each day:\n425 (Monday) + 102 (Tuesday) + 209 (Wednesday) = 736 letters.\n\nTherefore, the post office delivered a total of 736 letters from Monday to Wednesday.\n\n#### 736\nThe answer is: 736", "answer": {"result": 736.0}}, "matches": true} +{"solution": {"solution": "To find the total amount Molly will pay for the catering, we need to calculate the cost for each type of salad separately and then add them together.\n\nFor the chicken salad:\n10 people want chicken salad at $6.50 per person.\nCost for chicken salad = 10 people * $6.50/person = $65\n\nFor the pasta salad:\n6 people want pasta salad at $6 per person.\nCost for pasta salad = 6 people * $6/person = $36\n\nNow, we add the cost of both salads to find the total catering cost:\nTotal catering cost = Cost for chicken salad + Cost for pasta salad\nTotal catering cost = $65 + $36 = $101\n\nMolly will pay a total of $\\boxed{\\$101}$ for the catering.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Johnny's dad lost $5 on the first race. \n\nOn the second race, he won $1 more than twice the amount he lost on the first race. The amount he lost on the first race is $5, so twice that amount is $5 x 2 = $10. He won $1 more than that, so he won $10 + $1 = $11 on the second race.\n\nOn the third race, he lost 1.5 times as much as he won in the second race. He won $11 in the second race, so he lost 1.5 x $11 = $16.50 on the third race.\n\nTo find the average amount he lost per race, we add up the total amount lost and divide by the number of races.\n\nTotal amount lost = $5 (first race) + $11 (second race) - $16.50 (third race)\nTotal amount lost = $5 + $11 - $16.50\nTotal amount lost = $16 - $16.50\nTotal amount lost = -$0.50\n\nSince the total amount lost is negative, it means he made a profit overall. However, the question asks for the average loss per race, which is not applicable in this case because he made a profit. \n\nIf we were to calculate the average loss per race assuming a situation where he lost money each race, we would have:\n\nAverage loss per race = Total amount lost / Number of races\nAverage loss per race = -$0.50 / 3\nAverage loss per race = -$0.1667 (rounded to four decimal places)\n\nSince the average loss per race is negative, it indicates a profit. The question seems to be asking for an average loss, but in this scenario, there is no average loss since he made a profit. \n\nThe final answer, considering the context of the question, is that he did not lose money on average because he made a profit overall. \n\nThe final answer is $\\boxed{\\text{He did not lose money on average because he made a profit overall.}}$", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nThere are 5 cities in each country, and each city has 1000 people living in it. \nSo, in each country, there are 5 * 1000 = 5000 people living in the cities. \nSince there are 26 countries in South America, the total population in South America is 26 * 5000 = 130,000 people. \n#### 130000\nThe answer is: 130000", "answer": {"result": 130000.0}}, "matches": true} +{"solution": {"solution": "First, let's convert Xavier's growth from inches to feet. Since 12 inches equal 1 foot, Xavier grew 3 inches / 12 inches per foot = 0.25 feet.\n\nNow, let's find their current heights:\n- Xavier's height: 4 feet + 0.25 feet = 4.25 feet\n- Cole's height: 50 inches + 2 inches = 52 inches. To convert this to feet, we divide by 12: 52 inches / 12 inches per foot = 4.333 feet.\n\nNext, let's find the difference in their heights:\n4.25 feet (Xavier's height) - 4.333 feet (Cole's height) = -0.083 feet.\n\nSince we want the absolute difference, we take the absolute value: |-0.083| = 0.083 feet.\n\nSo, the difference between Cole and Xavier's height is 0.083 feet.\n\nTo convert this back to inches:\n0.083 feet * 12 inches per foot = 1 inch.\n\nTherefore, the difference between Cole and Xavier's height is 1 inch.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Assign Variables:**\n Let \\( x \\) be the amount the first person received.\n\n2. **Determine the Amount Taken by the Second Person:**\n According to the problem, the second person took \\( x + 80 \\) dollars.\n\n3. **Determine the Amount Taken by the Third Person:**\n The third person took twice the amount the second person took, which is \\( 2(x + 80) \\) dollars.\n\n4. **Set Up the Equation:**\n The total amount of money divided among the three people is $1920. Therefore, the sum of the amounts each person took should equal $1920.\n\n \\[\n x + (x + 80) + 2(x + 80) = 1920\n \\]\n\n5. **Simplify the Equation:**\n Distribute and combine like terms:\n\n \\[\n x + x + 80 + 2x + 160 = 1920\n \\]\n \\[\n 4x + 240 = 1920\n \\]\n\n6. **Solve for \\( x \\):**\n Subtract 240 from both sides to isolate the term with \\( x \\):\n\n \\[\n 4x + 240 - 240 = 1920 - 240\n \\]\n \\[\n 4x = 1680\n \\]\n\n Divide both sides by 4 to solve for \\( x \\):\n\n \\[\n x = \\frac{1680}{4}\n \\]\n \\[\n x = 420\n \\]\n\n7. **Conclusion:**\n The amount the first person received is \\( 420 \\) dollars.\n\n\\[\n\\boxed{420}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's find out the total number of days the team worked. Since they worked for 3 weeks and there are 7 days in a week, the total number of days is:\n\n3 weeks * 7 days/week = 21 days\n\nThe team worked for 3/8ths of a day each day. To find out how many hours that is, we need to know the total number of hours in a day. Assuming a standard 24-hour day:\n\n3/8 * 24 hours = 9 hours per day\n\nNow, let's calculate the total number of hours worked by the team over the 3 weeks:\n\n9 hours/day * 21 days = 189 hours\n\nThe team consists of 4 painters, so to find out how many hours each painter put in, we divide the total number of hours by the number of painters:\n\n189 hours / 4 painters = 47.25 hours\n\nEach painter worked for approximately $\\boxed{47.25}$ hours over the 3 weeks.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let $x$ be the number of tennis balls Rory retrieved in the second set.\n\n1. In the first set, he retrieved $x + 4$ balls.\n2. In the third set, he retrieved $\\frac{x}{2}$ balls.\n3. The total number of balls retrieved is $19$, so the equation becomes:\n \\[\n (x + 4) + x + \\frac{x}{2} = 19\n \\]\n \n4. To clear the fraction, multiply every term by 2:\n \\[\n 2(x + 4) + 2x + x = 38\n \\]\n \\[\n 2x + 8 + 2x + x = 38\n \\]\n \\[\n 5x + 8 = 38\n \\]\n\n5. Solve for $x$:\n \\[\n 5x = 30 \\quad \\Rightarrow \\quad x = 6\n \\]\n\n6. Rory retrieved $x + 4$ balls in the first set, so:\n \\[\n 6 + 4 = 10\n \\]\n\nConclusion with boxed answer:\n\\[\n\\boxed{10}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the price of the car in the year 2010, we need to apply the depreciation rate of 21% per year over the 3 years from 2007 to 2010.\n\n1. Calculate the depreciation for each year:\n - For 2008: \\(20000 \\times (1 - 0.21) = 20000 \\times 0.79 = 15800\\)\n - For 2009: \\(15800 \\times (1 - 0.21) = 15800 \\times 0.79 = 12442\\)\n - For 2010: \\(12442 \\times (1 - 0.21) \\approx 12442 \\times 0.79 \\approx 9834.38\\)\n\n2. The price of the car in 2010 is approximately $9834.38.\n\nConclusion:\nThe price of the car in 2010 is approximately $\\boxed{9834.38}$.The answer is: 9834.38", "answer": {"result": 9834.38}}, "matches": false} +{"solution": {"solution": "\nTo solve the problem step by step, let's break down the information given and perform the necessary calculations.\n\n1. **Determine the number of English books:**\n - We know that half of the books are written in English.\n - The total number of books is 50.\n - Therefore, the number of English books is:\n \\[\n \\frac{50}{2} = 25\n \\]\n\n2. **Determine the number of German books:**\n - We know that 10% of the books are written in German.\n - The total number of books is 50.\n - Therefore, the number of German books is:\n \\[\n 0.10 \\times 50 = 5\n \\]\n\n3. **Determine the number of Spanish books:**\n - To find the number of Spanish books, we subtract the number of English and German books from the total number of books.\n - The number of Spanish books is:\n \\[\n 50 - 25 - 5 = 20\n \\]\n\nConclusion:\nThe number of Spanish books in the library is \\(\\boxed{20}\\).", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Bernice drove 325 kilometers for 4 days. To find the total distance she has driven so far, we multiply the distance she drove each day by the number of days:\n\n325 kilometers/day * 4 days = 1300 kilometers\n\nThe total distance from San Diego to New York City is 1955 kilometers. To find out how many kilometers she still needs to drive, we subtract the distance she has already driven from the total distance:\n\n1955 kilometers - 1300 kilometers = 655 kilometers\n\nBernice still needs to drive $\\boxed{655}$ kilometers to reach New York City.The answer is: 655", "answer": {"result": 655.0}}, "matches": true} +{"solution": {"solution": "Ingrid drinks 8 cups of water every day. \nIf there are 16 cups in a gallon, then she drinks 8/16 = 0.5 gallons of water each day.\nIn 30 days, she drinks a total of 0.5 x 30 = 15 gallons of water.\n#### 15\nThe answer is: 15", "answer": {"result": 15.0}}, "matches": true} +{"solution": {"solution": "\nAt the first stop, 20 more people board the train, so the total number of people becomes 120 + 20 = 140.\n\nAt the second stop, 50 people descend from the train. So, the number of people on the train becomes 140 - 50 = 90.\n\nAt the same second stop, twice the number of people who descended (50) board the train. Therefore, 2 * 50 = 100 people board the train.\n\nAdding the new passengers to the current number of passengers gives us 90 + 100 = 190 people on the train.\n\nAt the third stop, 80 more people descend from the train. Subtracting this number from the current number of passengers gives us 190 - 80 = 110 people on the train.\n\nTherefore, the total number of people on the train at the final stop is $\\boxed{110}$ .\n\nAnswer: 110", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, calculate the cost of the running shorts. Since they cost $5 more than the tank top, their price is:\n\\[ \\$10 + \\$5 = \\$15. \\]\n\nNext, determine the sale price of the tennis shoes. Given they were originally $48 and were on sale for half price, their sale price is:\n\\[ \\$48 \\div 2 = \\$24. \\]\n\nThen, apply the coupon to the athletic socks. The original price of the socks is $8, and the coupon gives a $2 discount, making the final price:\n\\[ \\$8 - \\$2 = \\$6. \\]\n\nFinally, sum up the costs of all the items to find the total amount Alison spent:\n\\[ \\$10 + \\$15 + \\$24 + \\$6 = \\$55. \\]\n\nThus, Alison spent $\\boxed{\\$55}$ on athletic gear.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the total cost, we first need to determine how many tiles are required to cover the kitchen floor.\n\n1. Calculate the area of one tile:\n Since each tile side is 1ft in length, the area of one tile is 1ft * 1ft = 1 SqFt.\n\n2. Determine the number of tiles needed:\n The kitchen floor has a total area of 200 SqFt, so you'll need 200 tiles to cover the entire floor.\n\n3. Calculate the total cost:\n Each tile costs $12, so the total cost for 200 tiles will be 200 tiles * $12/tile = $2400.\n\nFinal answer: It will cost $2400 to renovate the kitchen floor with new square floor tiles.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "60% more than normal means 100% + 60% = 160% of the normal cost. \n\nTo find the cost after the 60% increase, we calculate 160% of $120:\n160% of $120 = (160/100) * $120 = 1.6 * $120 = $192 per month.\n\nTo find the annual cost, we multiply the monthly cost by 12 (the number of months in a year):\n$192 per month * 12 months = $2304 per year.\n\nSo, James pays $\\boxed{\\$2304}$ a year for the insurance.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Greg puts clean sheets on 4 twin beds and 1 king size bed every week, so he needs to wash 4 twin sets + 1 king set = 5 sets of sheets each week.\n\nHis laundry machine can only wash 2 twin sets or 1 king set at a time. Since 4 twin sets cannot be washed in a single load (as they exceed the machine's capacity for twin sets), he will need to do 4/2 = 2 loads for the twin sets.\n\nFor the king set, he will need to do 1 load.\n\nSo, each week he does a total of 2 (for twin sets) + 1 (for the king set) = 3 loads of laundry.\n\nIn a year, there are 52 weeks. Therefore, the number of loads of laundry he does in a year is 3 loads/week * 52 weeks/year = $\\boxed{156}$ loads of laundry.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Jill and her friends watch 4 movies every Saturday, so in 4 weeks, they will watch 4 movies/weekend x 4 weeks = 16 movies on Saturday.\nOn Sunday, they watch half the number of movies as on Saturday, so they watch 4 movies/2 = 2 movies on Sunday.\nIn 4 weeks, they will watch 2 movies/weekend x 4 weeks = 8 movies on Sunday.\nIn total, in 4 weeks, they will watch 16 movies on Saturday + 8 movies on Sunday = 24 movies.\n#### 24\nThe answer is: 24", "answer": {"result": 24.0}}, "matches": true} +{"solution": {"solution": "Two years ago, Leo had 100 stickers in his collection. \nLast year, Leo collected 50 stickers. \nThis year, he collected twice the number of stickers as last year, which is 2 * 50 = 100 stickers. \nTo find the total number of stickers Leo has in his collection, we add the numbers from each year: 100 + 50 + 100 = 250 stickers. \n#### 250\nThe answer is: 250", "answer": {"result": 250.0}}, "matches": true} +{"solution": {"solution": "Imma has 3 cats, and she feeds each cat twice a day with 60 grams of cat food. So, in total, she uses 60 grams x 2 = 120 grams of cat food per day for all 3 cats. \n\nIf she has 720 grams of cat food, we can calculate how many days it will last by dividing the total amount of cat food by the amount used per day: 720 grams / 120 grams per day = 6 days. \n\nTherefore, 720 grams of cat food will last Imma's 3 cats 6 days. \n\nThe final answer is 6 days.\n\n#### 6\nThe answer is: 6", "answer": {"result": 6.0}}, "matches": false} +{"solution": {"solution": "First, let's find out how many slices Silvia ate. Since Becky ate 10 slices and Becky ate 3 more slices than Jake did, we can set up the following equation for the number of slices Jake ate:\n\nBecky's slices = Jake's slices + 3\n\nGiven that Becky ate 10 slices, we can write:\n\n10 = Jake's slices + 3\n\nSolving for Jake's slices, we get:\n\nJake's slices = 10 - 3\nJake's slices = 7\n\nNow, since Silvia ate twice as many slices as Jake did, we can find the number of slices Silvia ate:\n\nSilvia's slices = 2 * Jake's slices\nSilvia's slices = 2 * 7\nSilvia's slices = 14\n\nNow we can find the total number of slices eaten by all three of them by adding up the slices eaten by Becky, Jake, and Silvia:\n\nTotal slices = Becky's slices + Jake's slices + Silvia's slices\nTotal slices = 10 + 7 + 14\nTotal slices = 31\n\nSince there were 4 pizzas with 8 slices each, there were a total of 4 * 8 = 32 slices. The total number of slices eaten by Becky, Jake, and Silvia is 31, which means one slice was not eaten.\n\nTherefore, the total number of slices they ate is $31$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let $B$ be the time, in minutes, it took Betsy to make her part of the meal, and let $D$ be the time, in minutes, it took Donovan to make his part. From the problem, we have two equations:\n\n1. $B = D + 18$\n2. $B + D = 98$\n\nWe can substitute the expression for $B$ from the first equation into the second equation:\n\\[ D + 18 + D = 98 \\]\n\\[ 2D + 18 = 98 \\]\n\nNow, solve for $D$:\n\\[ 2D = 98 - 18 \\]\n\\[ 2D = 80 \\]\n\\[ D = 40 \\]\n\nNow, substitute the value of $D$ back into the first equation to find $B$:\n\\[ B = 40 + 18 \\]\n\\[ B = 58 \\]\n\nThus, Betsy's part of the meal took $\\boxed{58}$ minutes.The answer is: 58", "answer": {"result": 58.0}}, "matches": true} +{"solution": {"solution": "1. **Calculate the cost of the cast:** $200\n2. **Convert the visit duration to hours:** 30 minutes is \\( \\frac{30}{60} = 0.5 \\) hours\n3. **Calculate the cost of the visit:** $300/hour \\times 0.5 hour = $150\n4. **Calculate the total cost for painkillers:**\n - Pills per day = 30\n - Cost per pill = $4\n - Total cost = 30 pills \\(\\times\\) $4/pill = $120\n5. **Calculate the parking cost:** 2 hours \\(\\times\\) $6/hour = $12\n6. **Sum up all costs to find the total cost of the doctor's visit:**\n - Total = Cast + Visit + Painkillers + Parking\n - Total = $200 + $150 + $120 + $12\n - Total = $\\$482$\n\nConclusion:\nThe total cost of the doctor's visit, including the cast, visit fee, painkillers, and parking, is $\\$482$.\nThe final answer is $\\boxed{\\$482}$", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If James gets 80 emails a day, then he gets 80 x 5 = 400 emails in a 5 day work week.\n20% of those emails don't require any response, so he doesn't respond to 80 x 0.20 = 16 emails.\nTherefore, he responds to 80 - 16 = 64 emails in a 5 day work week.\n#### 64\nThe answer is: 64", "answer": {"result": 64.0}}, "matches": false} +{"solution": {"solution": "To find the total number of classes that visited the Science Center last week, we need to calculate the number of classes for each day and then sum them up.\n\n- On Monday, 32 classes visited.\n- On Tuesday, twice as many visited as on Monday, so that's $2 \\times 32 = 64$ classes.\n- On Wednesday, three times as many visited as on Monday, so that's $3 \\times 32 = 96$ classes.\n- On Thursday, 30 classes visited.\n- On Friday, 25 classes visited.\n\nNow, we add these numbers to find the total:\n\n\\[32 + 64 + 96 + 30 + 25 = 247\\]\n\nTherefore, the total number of classes that visited the Science Center last week is $\\boxed{247}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find John's average score across the 4 tests, we need to add up all his scores and then divide by the number of tests. \n\nJohn's scores are 100, 100, 100, and 80. \n\nAdding these scores together gives us: 100 + 100 + 100 + 80 = 380.\n\nNow, we divide the total score by the number of tests: 380 / 4 = 95.\n\nSo, John's average score across the 4 tests is $\\boxed{95}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nThe glee club ordered 20 pizzas and ate 70% of them, so they ate 20 * 0.7 = 14 pizzas.\nThey have 20 - 14 = 6 pizzas left.\nThe football team ordered twice as many pizzas as the glee club, so they ordered 20 * 2 = 40 pizzas.\nThey ate 80% of the pizzas, so they ate 40 * 0.8 = 32 pizzas.\nThey have 40 - 32 = 8 pizzas left.\nIn total, there are 6 + 8 = 14 pizzas left.\n#### 14\nThe answer is: 14", "answer": {"result": 14.0}}, "matches": true} +{"solution": {"solution": "Anthony wants to send out 700 small coupons, and each small coupon costs 5 cents to mail. So, the total cost for mailing the small coupons is 700 * 5 = 3500 cents.\n\nHe also wants to send out twice as many big coupons as small coupons, which means he wants to send out 700 * 2 = 1400 big coupons.\n\nEach big coupon costs 15 cents to mail, so the total cost for mailing the big coupons is 1400 * 15 = 21000 cents.\n\nTo find the total cost on postage, we add the cost for the small coupons and the cost for the big coupons: 3500 + 21000 = 24500 cents.\n\nSince there are 100 cents in a dollar, we convert the total cost in cents to dollars by dividing by 100: 24500 / 100 = $245.\n\nTherefore, Anthony spends a total of $245 on postage.\n\nAnswer: \\boxed{$245}", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "10 meatball sub sandwiches contain 10 x 4 = 40 meatballs.\n3 less than ten meatball sub sandwiches is 10 - 3 = 7 meatball sub sandwiches.\n7 meatball sub sandwiches contain 7 x 4 = 28 meatballs.\nMark ate 4 of Sidney's meatball sub sandwiches, leaving 7 - 4 = 3 meatball sub sandwiches.\nSo there are 3 x 4 = 12 meatballs in the remaining sub sandwiches.\n#### 12\nThe answer is: 12", "answer": {"result": 12.0}}, "matches": false} +{"solution": {"solution": "If Mr. Hezekiah had 20 trucks dispatched for delivery, and a quarter of them had mechanical failures, then 20 * 1/4 = 5 trucks had mechanical failures.\n\nThe total number of trucks that were able to deliver the fertilizers is 20 - 5 = 15 trucks.\n\nEach truck was carrying 20 tons of fertilizer, so the total number of tons of fertilizer delivered is 15 * 20 = $\\boxed{300}$ tons.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Dennis needs 1 pound of butter for every dozen croissants, so for 6 dozen croissants, he will need 6 * 1 = 6 pounds of butter.\n\nThe promotion is buy one pound of butter get one half off, so for every 2 pounds of butter, he will pay for 1.5 pounds.\n\nSince he needs 6 pounds, he will make two purchases: \n- First purchase: 2 pounds of butter (full price)\n- Second purchase: 4 pounds of butter (half off)\n\nThe cost for the first purchase will be:\n2 pounds * $4.00/pound = $8.00\n\nThe cost for the second purchase will be:\n4 pounds * $4.00/pound * 0.5 (half off) = $8.00 * 0.5 = $4.00\n\nAdding the cost of both purchases together:\n$8.00 (first purchase) + $4.00 (second purchase) = $12.00\n\nTherefore, it will cost Dennis $\\boxed{\\$12.00}$ to purchase 6 pounds of butter.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nFirst, let's calculate the number of guests who will attend the party. Kayla invited 25 classmates, 7 dance class girls, and 13 family members, which totals to:\n\n25 + 7 + 13 = 45 guests\n\nSince 4 people cannot attend, we subtract them from the total:\n\n45 - 4 = 41 guests\n\nThe initial fee for renting the theater is $125 for a party of 20 guests. Since Kayla has 41 guests, we need to calculate the cost for the additional 21 guests:\n\n21 guests * $6 per guest = $126\n\nNow, let's add the initial fee to the cost for the additional guests:\n\n$125 (initial fee) + $126 (cost for additional guests) = $251\n\nTherefore, the total cost of the party will be $\\$251$ .\n\nAnswer: \\$251 ", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Maggie spent 1/4 of her $60, so she spent 1/4 * $60 = $15.\nRiza spent 1/3 of her $60, so she spent 1/3 * $60 = $20.\nThe total amount of money they spent is $15 + $20 = $35.\nThe total amount of money they had initially is $60 + $60 = $120.\nTherefore, the amount of money they have left is $120 - $35 = $85.\n#### 85\nThe answer is: 85", "answer": {"result": 85.0}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's break down the information given and calculate step by step:\n\n1. **Total Bananas**: Mr. Robles buys 315 bananas.\n2. **First Monkey's Consumption**: The first monkey eats 10 bananas each day.\n3. **Second Monkey's Consumption**: The second monkey eats 4 more bananas than the first monkey. Therefore, the second monkey eats:\n \\[\n 10 + 4 = 14 \\text{ bananas per day}\n \\]\n4. **Combined Consumption of First and Second Monkeys**: The total bananas eaten by the first and second monkeys per day is:\n \\[\n 10 + 14 = 24 \\text{ bananas per day}\n \\]\n5. **Third Monkey's Consumption**: To find out how many bananas the third monkey eats, we subtract the combined consumption of the first two monkeys from the total bananas:\n \\[\n 315 - 24 = 291 \\text{ bananas per day}\n \\]\n\nTherefore, the third monkey eats $\\boxed{291}$ bananas each day.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Teddy finished half of a 500 piece puzzle, which means he placed 500 / 2 = 250 pieces.\n\nHe then started and finished another 500 piece puzzle in the same hour. So, he placed another 500 pieces.\n\nTherefore, the total number of puzzle pieces Teddy placed during that hour is 250 (from the first puzzle) + 500 (from the second puzzle) = $\\boxed{750}$ pieces.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the cost of the 15 roses. Since roses cost $2 each, the total cost for 15 roses would be:\n\n15 roses * $2/rose = $30\n\nNow, Jenny also bought a dozen roses for $15. So, the total cost including the dozen roses would be:\n\n$30 (for the 15 roses) + $15 (for the dozen roses) = $45\n\nJenny arrived with five $5 bills, so she had a total of:\n\n5 bills * $5/bill = $25\n\nSince she only had quarters for change, we need to find out how much change she should receive and how many quarters that would be. The change she should receive is:\n\n$45 (total cost) - $25 (amount she had) = $20\n\nEach quarter is worth $0.25. To find out how many quarters she would receive, we divide the change by the value of a quarter:\n\n$20 / $0.25/quarter = 80 quarters\n\nJenny leaves with $\\boxed{80}$ quarters as change.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how much money Terry makes in total, we need to calculate the revenue from each item and then sum them up. \n\n1. **Milkshakes:**\n - Terry sells 6 milkshakes at $5.50 each.\n - Total revenue from milkshakes = Number of milkshakes sold \u00d7 Price per milkshake\n \\[\n 6 \\times 5.50 = \\$33.00\n \\]\n\n2. **Burger Platters:**\n - Terry sells 9 burger platters at $11 each.\n - Total revenue from burger platters = Number of burger platters sold \u00d7 Price per burger platter\n \\[\n 9 \\times 11 = \\$99.00\n \\]\n\n3. **Sodas:**\n - Terry sells 20 sodas at $1.50 each.\n - Total revenue from sodas = Number of sodas sold \u00d7 Price per soda\n \\[\n 20 \\times 1.50 = \\$30.00\n \\]\n\n4. **Total Revenue:**\n - Total revenue = Revenue from milkshakes + Revenue from burger platters + Revenue from sodas\n \\[\n \\$33.00 + \\$99.00 + \\$30.00 = \\$162.00\n \\]\n\nTherefore, the total amount of money Terry makes is $\\boxed{\\$162.00}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's calculate the arrival and departure times for each train step by step:\n\n1. The first train arrives in 10 minutes and stays for 20 minutes.\n2. The second train arrives 30 minutes (half an hour) after the first train departs.\n3. The second train stays for a quarter of the time the first train stayed, which is \\( \\frac{20}{4} = 5 \\) minutes.\n4. The third train arrives 60 minutes (an hour) after the second train departs.\n5. The third train leaves immediately after arriving, so there is no additional waiting time for the third train.\n6. The fourth train arrives 20 minutes after the third train leaves.\n\nNow, let's add up the waiting times for Paul:\n\n- Paul waits 10 minutes for the first train.\n- After the first train departs, Paul has to wait \\( 30 - 20 = 10 \\) minutes for the second train to arrive.\n- Paul waits an additional 5 minutes for the second train to depart.\n- Paul then waits 60 minutes for the third train to arrive.\n- After the third train departs, Paul waits 20 minutes for the fourth train to arrive.\n\nAdding these times together, we get:\n\\[ 10 + 10 + 5 + 60 + 20 = 105 \\text{ minutes} \\]\n\nPaul will wait a total of $\\boxed{105}$ minutes for his train.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Melanie has been saving toothpicks for 12 weeks and has saved 10 toothpicks each week, so she has 10 * 12 = 120 toothpicks.\n\nShe needs a total of 200 toothpicks, so she still needs 200 - 120 = 80 toothpicks.\n\nIf she saves 10 toothpicks each week, it will take her 80 / 10 = $\\boxed{8}$ more weeks to collect the remaining toothpicks.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Determine the original price of the watch**:\n - The original price of the watch is given as $2000.\n\n2. **Calculate the price Mr. Rogers paid for the watch**:\n - Mr. Rogers bought the watch at 75% of its original price.\n \\[\n \\text{Price paid by Mr. Rogers} = 2000 \\times 0.75 = 1500 \\text{ dollars}\n \\]\n\n3. **Calculate the price at which Mr. Rogers sold the watch to his friend**:\n - Mr. Rogers sold the watch at 120% of the price he paid.\n \\[\n \\text{Selling price to his friend} = 1500 \\times 1.20 = 1800 \\text{ dollars}\n \\]\n\n4. **Determine the discount percentage obtained by Mr. Rogers' friend**:\n - The friend bought the watch for $1800, which is $2000 (the original price) minus the amount Mr. Rogers paid for it.\n - The discount amount is:\n \\[\n \\text{Discount amount} = 2000 - 1800 = 200 \\text{ dollars}\n \\]\n - The discount percentage is calculated as the discount amount divided by the original price, multiplied by 100 to convert it to a percentage.\n \\[\n \\text{Discount percentage} = \\left(\\frac{200}{2000}\\right) \\times 100 = 10\\%\n \\]\n\n### Conclusion:\nThe friend obtained a 10% discount on the original price of the watch.\n\\[\n\\boxed{10\\%}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Understand the rate at which one spring creates jellyfish**:\n - Each second, a single spring creates 1 jellyfish.\n\n2. **Calculate the number of jellyfish created by one spring in 4 hours**:\n - There are 60 seconds in a minute and 60 minutes in an hour. Therefore, there are:\n \\[\n 60 \\text{ seconds/minute} \\times 60 \\text{ minutes/hour} = 3600 \\text{ seconds/hour}\n \\]\n - Since there are 4 hours in the time period, the total number of seconds in 4 hours is:\n \\[\n 4 \\text{ hours} \\times 3600 \\text{ seconds/hour} = 14400 \\text{ seconds}\n \\]\n\n3. **Calculate the total number of jellyfish created by one spring in 4 hours**:\n - Given that one spring creates 1 jellyfish every second, the total number of jellyfish created by one spring in 14400 seconds is:\n \\[\n 14400 \\text{ seconds} \\times 1 \\text{ jellyfish/second} = 14400 \\text{ jellyfish}\n \\]\n\n4. **Calculate the total number of jellyfish created by 5 springs in 4 hours**:\n - Since 5 springs work at the same rate, they collectively create 5 times as many jellyfish as one spring in the same time period.\n - Therefore, the total number of jellyfish created by 5 springs in 14400 seconds is:\n \\[\n 14400 \\text{ jellyfish} \\times 5 = 72000 \\text{ jellyfish}\n \\]\n\n### Conclusion\n\nThe total number of jellyfish created by 5 springs in 4 hours is:\n\\[\n\\boxed{72000}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Twice Binkie's score is 90 * 2 = 180.\n\nFrankie's score is 15 more than twice Binkie's score, so Frankie's score is 180 + 15 = 195.\n\nTherefore, Frankie's score was $\\boxed{195}$ .The answer is: 195", "answer": {"result": 195.0}}, "matches": true} +{"solution": {"solution": "James's home is 4 miles from the store. \nHe walked halfway there, so he walked 4/2 = 2 miles.\nHe then had to walk back home, another 2 miles.\nSo, in total, he walked 2 + 2 = 4 miles.\nHe walks at a speed of 4 miles per hour.\nTo find the time it took him, we divide the distance by the speed: 4 miles / 4 miles per hour = 1 hour.\nSo, it took James 1 hour to reach the store.\n#### 1\nThe answer is: 1", "answer": {"result": 1.0}}, "matches": false} +{"solution": {"solution": "If Jenny buys 10 bunches of bananas at $3.00 each, then she spends 10 * $3.00 = $30.00 in total. \n\nIf she were to buy the bananas individually at $0.80 each, she would need 10 * 4 = 40 bananas in total. \n\nSo, 40 bananas at $0.80 each would cost 40 * $0.80 = $32.00. \n\nBy buying the bananas in bunches instead of individually, Jenny saved $32.00 - $30.00 = $2.00. \n\n#### 2\nThe answer is: 2", "answer": {"result": 2.0}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's denote the length of fence Sam gets as $x$ feet. According to the problem, Harry gets 60 feet more than Sam, so Harry gets $x + 60$ feet. Given that the total length of fence between them is 100 feet, we can set up the following equation to represent the relationship:\n\n\\[x + (x + 60) = 100\\]\n\nSimplifying the equation, we combine like terms:\n\n\\[2x + 60 = 100\\]\n\nSubtracting 60 from both sides to isolate the term with $x$ gives us:\n\n\\[2x = 40\\]\n\nDividing both sides by 2 to solve for $x$:\n\n\\[x = 20\\]\n\nThis means Sam gets 20 feet of fence. To find out how much fence is left over for Sam, we subtract the fence Sam gets from the total length of fence:\n\n\\[100 - 20 = 80\\]\n\nTherefore, the amount of fence left over for Sam is $\\boxed{80}$ feet.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the rate of growth of the crocodile, we divide the total growth by the number of years:\n\\[\n\\text{Rate of growth} = \\frac{8 \\text{ inches}}{4 \\text{ years}} = 2 \\text{ inches per year}\n\\]\n\nNow, to find the total growth in 13 years, we multiply the rate of growth by the number of years:\n\\[\n\\text{Total growth in 13 years} = 13 \\text{ years} \\times 2 \\text{ inches per year} = 26 \\text{ inches}\n\\]\n\nThus, the crocodile will grow $\\boxed{26}$ inches in 13 years.The answer is: 26", "answer": {"result": 26.0}}, "matches": true} +{"solution": {"solution": "\n1. **Calculate the number of Trekking bikes sold:**\n - Total bikes sold = 300\n - Half of the bikes are Trekking bikes:\n \\[\n \\frac{300}{2} = 150 \\text{ Trekking bikes}\n \\]\n\n2. **Calculate the number of BMX bikes sold:**\n - 15% of the bikes are BMX bikes:\n \\[\n 0.15 \\times 300 = 45 \\text{ BMX bikes}\n \\]\n\n3. **Determine the number of MTB bikes sold:**\n - Subtract the number of Trekking and BMX bikes from the total:\n \\[\n 300 - 150 - 45 = 5 \\text{ MTB bikes}\n \\]\n\n4. **Calculate the earnings from each type of bike:**\n - Price of an MTB bike: \\( \\$500 \\)\n - Earnings from MTBs:\n \\[\n 5 \\times \\$500 = \\$2500\n \\]\n - Price of a BMX bike: \\( \\frac{1}{2} \\) of an MTB bike\n - Earnings from BMX bikes:\n \\[\n 45 \\times (\\$500 \\div 2) = 45 \\times \\$250 = \\$11250\n \\]\n - Price of a Trekking bike: \\( \\$450 \\)\n - Earnings from Trekking bikes:\n \\[\n 150 \\times \\$450 = \\$67500\n \\]\n\n5. **Calculate the total earnings:**\n - Sum of earnings from MTBs, BMXs, and Trekking bikes:\n \\[\n \\$2500 + \\$11250 + \\$67500 = \\$77250\n \\]\n\n### Conclusion:\n\\[\n\\boxed{\\$77250}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, let's break down the process into clear steps:\n\n1. **Determine the net increase in hay bales per hour**: The farmer makes 5 bales per hour, and the truck picks up 3 bales per hour. The net increase in the number of bales per hour can be calculated by subtracting the number of bales picked up by the truck from the number of bales made by the farmer:\n\\[5 \\, \\text{bales/hour} - 3 \\, \\text{bales/hour} = 2 \\, \\text{bales/hour}\\]\n\n2. **Calculate the total number of bales after a 6-hour day**: Since the net increase is 2 bales per hour, over a 6-hour day, the total increase in the number of bales is:\n\\[2 \\, \\text{bales/hour} \\times 6 \\, \\text{hours} = 12 \\, \\text{bales}\\]\n\n3. **Find the initial number of bales**: Given that the net increase over the day is 12 bales, and these represent the bales that are left in the field after the truck has collected its share, we can determine the initial number of bales by adding this net increase to the number of bales picked up by the truck during the day:\n\\[12 \\, \\text{bales} + 3 \\, \\text{bales/hour} \\times 6 \\, \\text{hours} = 12 \\, \\text{bales} + 18 \\, \\text{bales} = 30 \\, \\text{bales}\\]\n\nTherefore, the initial number of bales in the field before the farmer and the truck driver started working for the day was $\\boxed{30}$ bales.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nFirst, let's calculate the total number of class minutes John spends in a week. \n\nJohn has 6 periods in a day, but he has to take 2 extra classes, so he has a total of 6 + 2 = 8 classes per day. \n\nEach class is 40 minutes long, so in a day, he spends 8 * 40 = 320 minutes in class. \n\nSince he goes to school for 5 days a week, the total class minutes per week are 320 * 5 = 1600 minutes. \n\nNow, let's calculate the extra learning time. \n\nJohn spends 1/16 of his weekly minutes on Saturday and Sunday as extra learning time. \n\nFirst, we need to find out the total number of minutes in a week. There are 60 minutes in an hour, so there are 60 * 24 = 1440 minutes in a day. \n\nTherefore, in a week, there are 1440 * 7 = 10080 minutes. \n\nNow, 1/16 of this is 10080 / 16 = 630 minutes. \n\nSince he spends this time on both Saturday and Sunday, he spends 630 minutes each on these two days. \n\nSo, the total extra learning time per week is 630 * 2 = 1260 minutes. \n\nFinally, to find out how many hours he spends learning per week, we convert the total class minutes and extra learning minutes to hours. \n\n1600 minutes is 1600 / 60 = 26.67 hours. \n\n1260 minutes is 1260 / 60 = 21 hours. \n\nTherefore, John spends a total of 26.67 hours + 21 hours = 47.67 hours learning per week. \n\n#### 47.67\nThe answer is: 47.67", "answer": {"result": 47.67}}, "matches": false} +{"solution": {"solution": "The first bounce will bring the ball to 2/3 * 24 feet = 16 feet high.\nThe second bounce will bring the ball to 2/3 * 16 feet = 11.2 feet high.\nTherefore, the ball goes 11.2 feet high on its second bounce.\n#### 11.2\nThe answer is: 11.2", "answer": {"result": 11.2}}, "matches": false} +{"solution": {"solution": "The first child is 6 feet tall, which is equivalent to 6 * 12 = 72 inches.\n\nThe second child is two inches taller than the first child, so the second child is 72 + 2 = 74 inches tall.\n\nThe third child is 5 inches shorter than the second child, so the third child is 74 - 5 = 69 inches tall.\n\nThe fourth child is three inches taller than the third child, so the fourth child is 69 + 3 = 72 inches tall.\n\nTherefore, the fourth child is $\\boxed{72}$ inches tall.The answer is: 72", "answer": {"result": 72.0}}, "matches": true} +{"solution": {"solution": "If the orchard sold a total of 2000 apples and each bag contains 10 apples, then the number of bags sold can be calculated by dividing the total number of apples by the number of apples in each bag. \n\nNumber of bags sold = Total number of apples / Number of apples per bag\nNumber of bags sold = 2000 / 10\nNumber of bags sold = 200\n\nThe orchard earns $5 for each bag sold. To find out the total earnings, multiply the number of bags sold by the price per bag.\n\nTotal earnings = Number of bags sold * Price per bag\nTotal earnings = 200 * $5\nTotal earnings = $1000\n\nThus, the orchard earned $\\$1000$ from selling the apples.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's work backward to find the initial amount of meat on the triceratops.\n\n1. The Allosaurus ate the last 270 kg of meat.\n2. Before the Allosaurus ate their share, the velociraptors took half of the remaining meat. So, the amount left before the Allosaurus ate is 2 * 270 kg = 540 kg.\n3. The T-Rex initially ate half of the triceratops. So, before the T-Rex ate, the triceratops had 2 * 540 kg = 1080 kg of meat.\n\nTherefore, the triceratops had $\\boxed{1080}$ kg of meat before the T-Rex ate.The answer is: 1080", "answer": {"result": 1080.0}}, "matches": true} +{"solution": {"solution": "To calculate the total cost of painting the room, we need to determine the total area of all the walls and then multiply that by the cost per gallon of paint. \n\n1. **Calculate the area of the north and south walls:**\n - Each wall is 10 feet by 8 feet.\n - Area of one wall = 10 feet * 8 feet = 80 square feet.\n - There are two walls, so total area for these walls = 80 square feet * 2 = 160 square feet.\n\n2. **Calculate the area of the east and west walls:**\n - Each wall is 5 feet by 8 feet.\n - Area of one wall = 5 feet * 8 feet = 40 square feet.\n - There are two walls, so total area for these walls = 40 square feet * 2 = 80 square feet.\n\n3. **Calculate the total area of all the walls:**\n - Total area = 160 square feet (north and south) + 80 square feet (east and west) = 240 square feet.\n\n4. **Determine the number of gallons of paint needed:**\n - One gallon of paint covers 20 square feet.\n - Total area divided by coverage per gallon = 240 square feet / 20 square feet per gallon = 12 gallons.\n\n5. **Calculate the total cost of paint:**\n - Cost per gallon = $12.\n - Total cost = 12 gallons * $12 per gallon = $144.\n\nTherefore, the total cost to paint the room is $\\boxed{144}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Initial Setup:**\n - Total cans of soda: 12\n - Shaken cans: 3 (all three shaken)\n - Unshaken cans: 9 (all nine unshaken)\n\n2. **Actions of Ellen:**\n - Ellen takes 1 unshaken can for herself.\n - Unshaken cans remaining: \\(9 - 1 = 8\\)\n - Shaken cans remaining: 3\n\n3. **Actions of Ellen's Brother:**\n - Ellen's brother takes 1 shaken can and 2 unshaken cans.\n - Unshaken cans remaining after Ellen's brother takes: \\(8 - 2 = 6\\)\n - Shaken cans remaining after Ellen's brother takes: 2 (since he took 1 shaken can)\n\n4. **Ellen's Friend's Arrival:**\n - Remaining unshaken cans: 6\n - Remaining shaken cans: 2\n - Total cans left before Ellen's friend takes any: 8\n\n5. **Calculating the Probability:**\n - Ellen's friend can choose to take any of the remaining 8 cans.\n - Probability that Ellen's friend picks a shaken can:\n \\[\n \\text{Probability} = \\frac{\\text{Number of shaken cans}}{\\text{Total number of remaining cans}} = \\frac{2}{8} = \\frac{1}{4}\n \\]\n\n6. **Expressing the Probability as a Percentage:**\n - Convert the fraction to a percentage:\n \\[\n \\frac{1}{4} = 0.25 \\times 100\\% = 25\\%\n \\]\n\n### Conclusion:\nThe likelihood that Ellen's friend gets sprayed with soda from a shaken can is \\(\\boxed{25\\%}\\).", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If one train is traveling at 60 miles per hour, then in 3 hours it will have traveled 60 * 3 = 180 miles. \n\nThe other train is traveling at half the speed of the first train, so it is traveling at 60 / 2 = 30 miles per hour. \n\nIn 3 hours, the second train will have traveled 30 * 3 = 90 miles. \n\nSince the trains are traveling in opposite directions, the distance between them after 3 hours is the sum of the distances they have traveled: 180 + 90 = 270 miles. \n\nTherefore, the trains are 270 miles apart after 3 hours. \n\n#### 270\nThe answer is: 270", "answer": {"result": 270.0}}, "matches": true} +{"solution": {"solution": "1. **Calculate the number of days Billy works:**\n - March has 31 days.\n - April has 30 days.\n - Total days from March 1st to April 19th: \\(31 + 19 = 50\\) days.\n - Billy takes off 20% of these days: \\(0.20 \\times 50 = 10\\) days off.\n - Days Billy is working: \\(50 - 10 = 40\\) days.\n\n2. **Calculate the total number of people Billy helps:**\n - Billy works 3 hours a day and helps 2 people per hour.\n - Total people helped per day: \\(3 \\text{ hours/day} \\times 2 \\text{ people/hour} = 6 \\text{ people/day}\\).\n - Total people helped over 40 days: \\(6 \\text{ people/day} \\times 40 \\text{ days} = 240 \\text{ people}\\).\n\n3. **Conclusion:**\n - Billy helps a total of \\( \\boxed{240} \\) people.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "There were 12 buses, and each bus carried 35 people, so 12 * 35 = 420 people were transported by buses.\nThere were 20 cars, and each car carried 3 people, so 20 * 3 = 60 people were transported by cars.\nIn total, 420 + 60 = 480 people were transported to the church.\nSince the ceremony was held inside the church, the number of people inside the church is 480.\n#### 480\nThe answer is: 480", "answer": {"result": 480.0}}, "matches": true} +{"solution": {"solution": "If Mike is 24 years old, and Martha is 4 years younger than Mike, then Martha is 24 - 4 = 20 years old.\n\nSince Jeff is 10 years older than Martha, Jeff is 20 + 10 = 30 years old.\n\nTherefore, Jeff is $\\boxed{30}$ years old.The answer is: 30", "answer": {"result": 30.0}}, "matches": true} +{"solution": {"solution": "To find out how much longer it takes to ride the biggest slide compared to the second biggest slide, we first calculate the time taken for each slide.\n\nFor the biggest slide:\n- Length = 300 feet\n- Speed = 60 feet/minute\n\nThe time taken ($t_1$) to slide down the biggest slide is calculated by dividing the length by the speed:\n\\[t_1 = \\frac{\\text{Length of biggest slide}}{\\text{Speed of biggest slide}} = \\frac{300 \\, \\text{feet}}{60 \\, \\text{feet/minute}} = 5 \\, \\text{minutes}\\]\n\nFor the second biggest slide:\n- Length = 240 feet\n- Speed = 80 feet/minute\n\nThe time taken ($t_2$) to slide down the second biggest slide is calculated similarly:\n\\[t_2 = \\frac{\\text{Length of second biggest slide}}{\\text{Speed of second biggest slide}} = \\frac{240 \\, \\text{feet}}{80 \\, \\text{feet/minute}} = 3 \\, \\text{minutes}\\]\n\nTo find out how much longer it takes to ride the biggest slide compared to the second biggest slide, we subtract the time for the second biggest slide from the time for the biggest slide:\n\\[t_1 - t_2 = 5 \\, \\text{minutes} - 3 \\, \\text{minutes} = 2 \\, \\text{minutes}\\]\n\nTherefore, it takes $\\boxed{2}$ minutes longer to ride the biggest slide compared to the second biggest slide.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Bobby takes a 30 min lunch per day, so in 5 days, he takes 30 minutes x 5 days = 150 minutes of lunch breaks.\nHe also takes 2 15 min breaks per day, so in 5 days, he takes 15 minutes x 2 breaks x 5 days = 150 minutes of break time.\nTo add up the lunch and break time, we need to convert minutes to hours. There are 60 minutes in 1 hour, so 150 minutes = 150/60 = 2.5 hours.\nTherefore, Bobby's lunches and breaks add up to 2.5 hours.\n#### 2.5\nThe answer is: 2.5", "answer": {"result": 2.5}}, "matches": false} +{"solution": {"solution": "First, let's find out how many miles Micah ran. Micah ran 3.5 times what Amber ran, so:\n\nMicah's miles = 3.5 * Amber's miles\nMicah's miles = 3.5 * 8\nMicah's miles = 28\n\nNow, let's add up the miles that Amber and Micah ran to find out how many miles are left for Ahito:\n\nAmber's miles + Micah's miles = 8 + 28 = 36 miles\n\nSince the total distance they ran together is 52 miles, we can find out how many miles Ahito ran by subtracting the total miles run by Amber and Micah from the overall total:\n\nAhito's miles = Total miles - (Amber's miles + Micah's miles)\nAhito's miles = 52 - 36\nAhito's miles = 16\n\nAhito ran $\\boxed{16}$ miles.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Sheila charged $85.00 worth of merchandise on her credit card, and then she returned a $15.00 item. \n\nSo, the total amount she spent on items she kept is $85.00 - $15.00 = $70.00. \n\nThe frying pan was on sale for 20% off $20.00. \n\n20% of $20.00 is $20.00 * 0.20 = $4.00. \n\nSo, the frying pan cost $20.00 - $4.00 = $16.00 after the discount. \n\nThe set of towels was 10% off $30.00. \n\n10% of $30.00 is $30.00 * 0.10 = $3.00. \n\nSo, the set of towels cost $30.00 - $3.00 = $27.00 after the discount. \n\nThe total amount Sheila spent on the frying pan and towels is $16.00 + $27.00 = $43.00. \n\nTherefore, the new balance on her credit card is $70.00 (spent on items she kept) + $43.00 (spent on new purchases) = $113.00. \n\n#### 113\nThe answer is: 113", "answer": {"result": 113.0}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's break down the information given and the steps to find the total number of jellyfish in the tank.\n\n1. **Identify the fraction of large jellyfish and their color-changing behavior**: We are told that a fifth of the jellyfish are large, and a third of these large jellyfish change color from green to blue under UV light.\n\n2. **Calculate the fraction of jellyfish that changed color**: Since a third of the large jellyfish change color, we can represent this as $\\frac{1}{3}$ of the large jellyfish. Additionally, these large jellyfish make up $\\frac{1}{5}$ of the total jellyfish population. Therefore, the fraction of jellyfish that changed color is:\n \\[\n \\frac{1}{3} \\times \\frac{1}{5} = \\frac{1}{15}\n \\]\n\n3. **Determine the total number of jellyfish based on the number that changed color**: We know that 6 jellyfish changed color, which represents $\\frac{1}{15}$ of the total jellyfish population. To find the total number of jellyfish ($T$), we set up the equation:\n \\[\n \\frac{1}{15}T = 6\n \\]\n\n4. **Solve for $T$**: To find the total number of jellyfish, we multiply both sides of the equation by 15:\n \\[\n T = 6 \\times 15 = 90\n \\]\n\nTherefore, the total number of jellyfish in the tank is $\\boxed{90}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Chris is 4 years old, and Ben is two times older than Chris, then Ben is:\n\n2 * 4 = 8 years old.\n\nCaroline is three times older than Ben, so:\n\n3 * 8 = 24 years old.\n\nTherefore, Caroline is $\\boxed{24}$ years old.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Calculate Annual Savings**: Lauren saves 20% of her annual salary of $100,000.\n \\[\n \\text{Annual Savings} = 0.20 \\times 100,000 = 20,000\n \\]\n\n2. **Determine Retirement Expenses**: Lauren wants to live on 40% of her current salary each year.\n \\[\n \\text{Annual Retirement Expenses} = 0.40 \\times 100,000 = 40,000\n \\]\n\n3. **Calculate Required Savings for 20 Years of Retirement**: Multiply the annual retirement expenses by the number of retirement years.\n \\[\n \\text{Total Savings Needed} = 40,000 \\times 20 = 800,000\n \\]\n\n4. **Determine the Number of Years Needed to Save**: Divide the total savings needed by the annual savings.\n \\[\n \\text{Years Needed} = \\frac{800,000}{20,000} = 40\n \\]\n\n5. **Calculate Total Years Worked**: Add the years needed to save for retirement to the years she has already worked (assuming 40 years in total for retirement savings).\n \\[\n \\text{Total Worked Years} = 40 + 40 = 80\n \\]\n\n6. **Calculate Years Remaining to Work**: Subtract the years already worked from the total years until retirement.\n \\[\n \\text{Years Remaining} = 80 - 40 = 40\n \\]\n\n \\[\n \\boxed{40}\n \\]\n\nConclusion:\nLauren needs to work an additional 40 years to achieve her retirement savings goal under the given conditions.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Marty starts with 100 centimeters of ribbon.\nHe needs to cut it into 4 equal parts, so each part will be 100/4 = 25 centimeters.\nEach of these 4 parts will then be divided into 5 equal parts, so each final cut will be 25/5 = 5 centimeters.\nTherefore, each final cut will be 5 centimeters long.\n#### 5\nThe answer is: 5", "answer": {"result": 5.0}}, "matches": true} +{"solution": {"solution": "To find the total number of students in the school, we start by understanding the given percentage of boys.\n\n1. **Identify the percentage of boys**: We are given that boys make up 40% of the school's population.\n\n2. **Calculate the total number of boys**:\n \\[\n \\text{Number of boys} = 240\n \\]\n\n3. **Set up the equation using percentages**:\n \\[\n \\text{Percentage of boys} = \\frac{\\text{Number of boys}}{\\text{Total number of students}} \\times 100\\%\n \\]\n Given that the percentage of boys is 40%, we can write:\n \\[\n 40\\% = \\frac{240}{\\text{Total number of students}} \\times 100\\%\n \\]\n\n4. **Solve for the total number of students**:\n \\[\n 0.40 = \\frac{240}{\\text{Total number of students}}\n \\]\n Convert percentage to decimal:\n \\[\n 0.40 = 0.40\n \\]\n Multiply both sides by the total number of students to isolate it:\n \\[\n 0.40 \\times \\text{Total number of students} = 240\n \\]\n Divide both sides by 0.40 to solve for the total number of students:\n \\[\n \\text{Total number of students} = \\frac{240}{0.40}\n \\]\n Simplify the fraction:\n \\[\n \\text{Total number of students} = 600\n \\]\n\n5. **Determine the number of girls**:\n The total number of students is 600, and since boys make up 40% of this total:\n \\[\n \\text{Number of girls} = 100\\% - 40\\% = 60\\%\n \\]\n Calculate the number of girls:\n \\[\n \\text{Number of girls} = 60\\% \\times 600 = 0.60 \\times 600 = 360\n \\]\n\n### Conclusion:\nThe number of girls in the school is:\n\\[\n\\boxed{360}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "My mom bought a set of pots for $19 and a sack of garden soil for $26, so the total cost before the coupon was $19 + $26 = $45. \n\nShe used a coupon for $7 off, so the total amount she spent at the gardening shop was $45 - $7 = $38. \n\n#### 38\nThe answer is: 38", "answer": {"result": 38.0}}, "matches": true} +{"solution": {"solution": "To find the average height of the heels at the party, we first need to calculate the total height of all the heels and then divide it by the number of heels.\n\nThere are 3 women wearing 4-inch heels and 3 women wearing 2-inch heels.\n\nTotal height of 4-inch heels = 3 women * 4 inches = 12 inches\nTotal height of 2-inch heels = 3 women * 2 inches = 6 inches\n\nNow, we add the total heights of both types of heels:\nTotal height of all heels = 12 inches + 6 inches = 18 inches\n\nNext, we find the total number of heels:\nTotal number of heels = 3 women + 3 women = 6 heels\n\nFinally, we calculate the average height of the heels:\nAverage height of heels = Total height of all heels / Total number of heels\nAverage height of heels = 18 inches / 6 heels = 3 inches\n\nThe average height of heels at the party is $\\boxed{3}$ inches.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": ": \n\n1. **Calculate the total miles Soledad plans to hike:**\n\n Soledad plans to hike 9,300 miles in total during her vacation month of June.\n\n2. **Determine the number of days in June:**\n\n June typically has 30 days.\n\n3. **Calculate the number of miles Soledad hikes each day:**\n\n Since Soledad intends to hike twice a day, she will cover:\n \\[\n 125 \\text{ miles} \\times 2 = 250 \\text{ miles per day}\n \\]\n\n4. **Determine the ideal miles per day to complete the journey:**\n\n To find out how many miles Soledad must hike each day to complete the 9,300-mile journey in 30 days, we divide the total miles by the number of days:\n \\[\n \\frac{9,300 \\text{ miles}}{30 \\text{ days}} = 310 \\text{ miles per day}\n \\]\n\n5. **Calculate the additional miles required per day:**\n\n Soledad already plans to hike 250 miles per day. To reach the required 310 miles per day, she must hike:\n \\[\n 310 \\text{ miles per day} - 250 \\text{ miles per day} = 60 \\text{ additional miles per day}\n \\]\n\n### Conclusion:\n\nSoledad must hike an additional 60 miles per day to complete her journey of 9,300 miles in June.\n\n\\[\n\\boxed{60}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the total amount received from selling all the balls, we need to calculate the revenue from each color separately and then sum them up.\n\n1. **Red balls:**\n - There are 3 red balls.\n - Each red ball costs $9.\n - Total revenue from red balls = $9 \\times 3 = $27.\n\n2. **Blue balls:**\n - There are 11 blue balls.\n - Each blue ball costs $5.\n - Total revenue from blue balls = $5 \\times 11 = $55.\n\n3. **Green balls:**\n - There are 25 green balls.\n - Each green ball costs $3.\n - Total revenue from green balls = $3 \\times 25 = $75.\n\n4. **Total revenue:**\n - Total revenue = revenue from red balls + revenue from blue balls + revenue from green balls\n - Total revenue = $27 + $55 + $75 = $157.\n\nTherefore, the store will have received $\\boxed{157}$ from selling all the balls.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Pierre, Paul, and Jacques bought a total of 12 kg of apples. \nPeter wants a quarter of that, which is 12 kg / 4 = 3 kg. \nPaul wants 1/3 of that, which is 12 kg / 3 = 4 kg. \nSo together, Peter and Paul want 3 kg + 4 kg = 7 kg. \nTherefore, James will have 12 kg - 7 kg = 5 kg left. \n#### 5\nThe answer is: 5", "answer": {"result": 5.0}}, "matches": true} +{"solution": {"solution": "\nThe temperature dropped by 8 degrees Celsius, so the temperature in the morning would be 2 - 8 = -6 degrees Celsius.\nThen, the temperature increased by 3 degrees Celsius, so the final temperature in the morning would be -6 + 3 = -3 degrees Celsius.\nTherefore, the temperature in the morning was -3 degrees Celsius.\n#### -3\nThe answer is: -3", "answer": {"result": -3.0}}, "matches": true} +{"solution": {"solution": "Raymond started with $21. \nHe saved $11, so he had $21 + $11 = $32. \nHe spent $5 on a comic book, so he had $32 - $5 = $27 left. \nHe also spent $19 on a puzzle, so he had $27 - $19 = $8 left. \n\nRaymond has $8 left. \n#### 8\nThe answer is: 8", "answer": {"result": 8.0}}, "matches": true} +{"solution": {"solution": "Anna started with a budget of $16 and has $2 left, which means she spent $16 - $2 = $14 on the books.\nShe already spent $4 before buying the 2 books, so she spent $14 - $4 = $10 on the 2 books.\nSince both books cost the same amount, the cost of each book is $10 / 2 = $5.\n#### 5\nThe answer is: 5", "answer": {"result": 5.0}}, "matches": true} +{"solution": {"solution": "To find the number of students enrolled this year in the calligraphy class, you first need to calculate the increase in enrollment. \n\n1. Calculate the increase: 20% of 50 students is $0.20 \\times 50 = 10$ students.\n2. Add the increase to last year's enrollment to find this year's enrollment: $50 + 10 = 60$ students.\n\nTherefore, the number of students enrolled this year in the calligraphy class is $\\boxed{60}$.The answer is: 60", "answer": {"result": 60.0}}, "matches": true} +{"solution": {"solution": "First, determine the number of blinks per minute:\n- There are 5 minutes in total and 255 blinks, so $255 \\div 5 = 51$ blinks per minute.\n\nNow, calculate how long it will take for 459 blinks at this rate:\n- Set up the equation: $51 \\text{ blinks/minute} \\times t \\text{ minutes} = 459 \\text{ blinks}$.\n- Solve for $t$: $t = \\frac{459}{51} = 9$.\n\nThus, it will take $\\boxed{9}$ minutes for the light to blink 459 times.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Initially, Tate had 4 male guppies + 7 female guppies = 11 guppies in total.\nAfter buying 2 male guppies, Tate now has 11 + 2 = 13 guppies.\nSimilarly, Tate initially had 3 male goldfishes + 5 female goldfishes = 8 goldfishes in total.\nAfter buying 2 male goldfishes and 3 female goldfishes, Tate now has 8 + 2 + 3 = 13 goldfishes.\nIn total, Tate now has 13 guppies + 13 goldfishes = 26 fish.\nThe number of male fish is 2 + 2 = 4 male guppies + 2 male goldfishes = 6 male fish.\nThe number of female fish is 1 + 3 = 7 female guppies + 3 female goldfishes = 10 female fish.\nTate has 10 - 6 = 4 more female fish than male fish.\n\nThe answer is 4", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Determine the time Megan took to walk the dog**:\n - Amalia took 4 hours to mow the lawn.\n - Megan took 2 hours longer than Amalia to walk the dog.\n - Therefore, Megan's time is:\n \\[\n 4 \\, \\text{hours} + 2 \\, \\text{hours} = 6 \\, \\text{hours}\n \\]\n\n2. **Determine the time Dior took to do laundry**:\n - Amalia took 4 hours to mow the lawn.\n - Dior took significantly longer than Amalia to do laundry.\n - Given Dior took \"well over 4 hours longer,\" this means Dior's time is:\n \\[\n 4 \\, \\text{hours} + 4 \\, \\text{hours} = 8 \\, \\text{hours}\n \\]\n\n3. **Calculate the total time taken by all three**:\n - Amalia took 4 hours.\n - Megan took 6 hours.\n - Dior took 8 hours.\n - Adding these times together gives us the total time:\n \\[\n 4 \\, \\text{hours} + 6 \\, \\text{hours} + 8 \\, \\text{hours} = 18 \\, \\text{hours}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{18}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nJohn visits his parents twice a month, so he makes a round trip twice a month. \n\nThe distance to his parents' house is the same for both the drive there and the drive back, so we can just consider the distance for one round trip. \n\nIt takes him 2 hours to drive there at a speed of 70 mph. \n\nTo find the distance, we can use the formula distance = speed * time. \n\nThe distance for one way is 70 mph * 2 hours = 140 miles. \n\nSince the round trip includes both the drive there and the drive back, the total distance for one round trip is 140 miles * 2 = 280 miles. \n\nTherefore, he drives a total of 280 miles for each round trip. \n\nSince he makes this trip twice a month, he drives a total of 280 miles * 2 = 560 miles per month. \n\n#### 560\nThe answer is: 560", "answer": {"result": 560.0}}, "matches": true} +{"solution": {"solution": "If Sofie plans to walk 10 miles every day for 7 days, then she will walk a total of 10 miles/day * 7 days = 70 miles.\n\nSince Sofie will walk twice as far as Brian in 7 days, Brian will walk half the distance Sofie walks. Therefore, Brian will walk 70 miles / 2 = 35 miles in seven days.\n\nSo, Brian will walk 35 miles in seven days.\n\n#### 35\nThe answer is: 35", "answer": {"result": 35.0}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's break down the production process and calculate the total number of toys produced by the first four workers, then determine the rate at which the fifth worker must produce toys to meet the order.\n\n1. **Calculate the production of the first group of workers:**\n - The first group consists of 2 workers, each producing 6 toys per hour. Therefore, their combined production per hour is:\n \\[\n 2 \\times 6 = 12 \\text{ toys per hour}\n \\]\n - Over a 10-hour shift, this group produces:\n \\[\n 10 \\times 12 = 120 \\text{ toys}\n \\]\n\n2. **Calculate the production of the second group of workers:**\n - The second group consists of 2 workers, each producing 4 toys per hour. Their combined production per hour is:\n \\[\n 2 \\times 4 = 8 \\text{ toys per hour}\n \\]\n - Over a 10-hour shift, this group produces:\n \\[\n 10 \\times 8 = 80 \\text{ toys}\n \\]\n\n3. **Calculate the total number of toys produced by the first four groups of workers:**\n - Adding the production of both groups over the 10-hour shift gives us:\n \\[\n 120 + 80 = 200 \\text{ toys}\n \\]\n\n4. **Determine the production rate required from the fifth worker:**\n - The order requires 400 toys in total, and the first four groups produced 200 toys, leaving a shortage of:\n \\[\n 400 - 200 = 200 \\text{ toys}\n \\]\n - Since the fifth worker must produce these 200 toys over a 10-hour shift, we find their production rate per hour by dividing the total shortage by the number of hours:\n \\[\n \\frac{200}{10} = 20 \\text{ toys per hour}\n \\]\n\nTherefore, the fifth worker must produce $\\boxed{20}$ toys per hour to fulfill the entire order.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Elijah's first dog weighs 60 pounds / 4 = 15 pounds.\nElijah's second dog weighs 60 pounds / 2 = 30 pounds.\nKory's dog weighs 60 pounds.\nAltogether, Elijah and Kory's dogs weigh 15 + 30 + 60 = 105 pounds.\nThe answer is 105", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's break down the problem step by step:\n\n1. Seth gave half of his stickers to Luis. This means Seth was left with half of his original stickers.\n\n2. Luis used half of the stickers he received from Seth. This means Luis kept a quarter of Seth's original stickers.\n\n3. Luis gave the remaining stickers (half of what he received) to Kris. This means Kris received three-quarters of Seth's original stickers.\n\n4. Kris kept 9 of the stickers from Luis. This means she kept 9/4 of Seth's original stickers.\n\n5. Kris gave the remaining 7 stickers to Rob. This means Rob received 7/4 of Seth's original stickers.\n\nNow, let's add up all the fractions of Seth's original stickers that have been accounted for:\n\n- Seth kept half of his original stickers (1/2).\n- Luis kept a quarter of Seth's original stickers (1/4).\n- Kris kept 9/4 of Seth's original stickers.\n- Rob received 7/4 of Seth's original stickers.\n\nAdding these fractions together:\n\n1/2 + 1/4 + 9/4 + 7/4 = 2/4 + 1/4 + 9/4 + 7/4 = 19/4\n\nThis means that 19/4 of Seth's original stickers have been accounted for. To find out how many stickers Seth had in the beginning, we need to find the denominator that represents 100% (or 4/4) of his stickers.\n\nTo find the denominator that represents 100%, we can set up a proportion:\n\n19/4 = x/4\n\nTo solve for x, we cross-multiply:\n\n19 * 4 = 4 * x\n\n76 = 4x\n\nx = 76 / 4\n\nx = 19\n\nSo, Seth had 19 sets of 4 stickers in the beginning, which means he had 19 * 4 = 76 stickers.\n\nSeth had $\\boxed{76}$ stickers in the beginning.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nTo solve the problem, we follow these steps:\n\n1. Calculate the total weight of M&Ms John bought. Since he bought 3 large bags, each weighing 10 ounces, the total weight is:\n\\[3 \\times 10 = 30 \\text{ ounces}\\]\n\n2. Next, we need to find out how many M&Ms are in 30 ounces. Given that 1 ounce contains 30 M&Ms, the total number of M&Ms in 30 ounces is:\n\\[30 \\times 30 = 900 \\text{ M&Ms}\\]\n\n3. Finally, to determine how many small bags of 10 M&Ms each he can make, we divide the total number of M&Ms by the number of M&Ms per small bag:\n\\[900 \\div 10 = 90 \\text{ small bags}\\]\n\nTherefore, John can make $\\boxed{90}$ small bags of M&Ms.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the number of days it takes Alfie to fly a distance equal to half of the way around the earth, we first determine half the circumference of the earth. \n\n1. Calculate half the circumference of the earth:\n\\[ \\frac{40,000 \\, \\text{km}}{2} = 20,000 \\, \\text{km} \\]\n\n2. Next, we divide this halfway distance by Alfie's daily flying distance to find out how many days it will take:\n\\[ \\frac{20,000 \\, \\text{km}}{400 \\, \\text{km/day}} = 50 \\, \\text{days} \\]\n\nTherefore, it will take Alfie $\\boxed{50}$ days to fly a distance equal to half of the way around the earth.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve the problem, we start with the information given and proceed step by step:\n\n1. **Finding the speed of the 2nd fastest car:**\n The average car can go 120 Miles per hour (mph). The 2nd fastest car is 5 times faster than the average car. Therefore, the speed of the 2nd fastest car can be calculated as:\n \\[\n \\text{Speed of 2nd fastest car} = 5 \\times \\text{Speed of average car} = 5 \\times 120 \\text{ mph} = 600 \\text{ mph}\n \\]\n\n2. **Determining the speed of the fastest car:**\n The fastest car is 1.25 times faster than the 2nd fastest car. Thus, the speed of the fastest car can be found by multiplying the speed of the 2nd fastest car by 1.25:\n \\[\n \\text{Speed of fastest car} = 1.25 \\times \\text{Speed of 2nd fastest car} = 1.25 \\times 600 \\text{ mph} = 750 \\text{ mph}\n \\]\n\nTherefore, the fastest car ever made can go $\\boxed{750}$ Miles per hour.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Two years ago, Liam was 16 - 2 = 14 years old.\nAt that time, Vince's age was 14 / 2 = 7 years old.\nSince two years have passed, Vince is now 7 + 2 = 9 years old.\n#### 9\nThe answer is: 9", "answer": {"result": 9.0}}, "matches": true} +{"solution": {"solution": "Let's denote the number of eggs painted by Arnold, Madeline, Camden, and Sarah respectively as A, M, C, and S.\n\nFrom the problem, we have the following information:\n\n1. A + M + C + S = 56 (total number of eggs painted)\n2. A = M (Arnold and Madeline painted the same number of eggs)\n3. C + S = 30 (total number of eggs painted by Camden and Sarah)\n4. C = S + 12 (Camden painted 12 more eggs than Sarah)\n\nFrom equation 2, we can replace M with A in the total equation:\n\nA + A + C + S = 56\n2A + C + S = 56\n\nNow, let's use equation 4 to replace C in the above equation:\n\n2A + (S + 12) + S = 56\n2A + 2S + 12 = 56\n2A + 2S = 44\n\nNow, we can use equation 3 to replace C + S with 30:\n\n2A + 30 = 44\n2A = 14\nA = 7\n\nSince A = M, both Arnold and Madeline painted 7 eggs.\n\nNow, let's find out how many eggs Camden painted:\n\nC + S = 30\nC = S + 12\n\nWe know that A = M = 7, so we can substitute A into equation 3:\n\n7 + S = 30\nS = 23\n\nNow, we can find C:\n\nC = S + 12\nC = 23 + 12\nC = 35\n\nCamden painted 35 eggs.\n\nTo find out how many more eggs Camden painted than Arnold, we subtract the number of eggs Arnold painted from the number of eggs Camden painted:\n\n35 - 7 = 28\n\nCamden painted 28 more eggs than Arnold.\n\nFinal answer: Camden painted $\\boxed{28}$ more eggs than Arnold.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nFirst, let's calculate the total weight of the crayons. Since each crayon weighs 1 ounce and Nik has 200 crayons, the total weight of the crayons is:\n\\[200 \\text{ crayons} \\times 1 \\text{ ounce/crayon} = 200 \\text{ ounces}\\]\n\nNext, we need to determine how many boxes Nik will need to store the crayons. Since he wants to separate them into groups of 8, we divide the total number of crayons by 8:\n\\[200 \\text{ crayons} \\div 8 \\text{ crayons/box} = 25 \\text{ boxes}\\]\n\nEach box weighs 8 ounces, so the total weight of the boxes is:\n\\[25 \\text{ boxes} \\times 8 \\text{ ounces/box} = 200 \\text{ ounces}\\]\n\nTo find the total weight of the crayons and the boxes combined, we add the weight of the crayons to the weight of the boxes:\n\\[200 \\text{ ounces (crayons)} + 200 \\text{ ounces (boxes)} = 400 \\text{ ounces}\\]\n\nFinally, since there are 16 ounces in a pound, we convert the total weight from ounces to pounds:\n\\[400 \\text{ ounces} \\div 16 \\text{ ounces/pound} = 25 \\text{ pounds}\\]\n\nSo, the total weight of the crayons and the boxes is $\\boxed{25}$ pounds.\n\nAnswer: 25", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total amount of wood John can use from the tree:\n\n80 feet * 80% = 64 feet\n\nNow, let's find out how many 4-foot logs he can make from the usable wood:\n\n64 feet / 4 feet per log = 16 logs\n\nNext, let's calculate the total number of planks he can cut from these logs:\n\n16 logs * 5 planks per log = 80 planks\n\nFinally, let's calculate the total amount of money John makes by selling each plank for $1.2:\n\n80 planks * $1.2 per plank = $96\n\nJohn makes $\\$96$ from selling the planks.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Valerie earns $5000 per month, which is 1/2 of what her brother earns. \nSo, her brother earns 2 * $5000 = $10000 per month.\nThe sum of Valerie's and her brother's earnings is $5000 + $10000 = $15000 per month.\nTheir mother earns twice their combined salary, so she earns 2 * $15000 = $30000 per month.\nThe total amount of money they all have together is $15000 + $30000 = $45000 per month.\n#### 45000\nThe answer is: 45000", "answer": {"result": 45000.0}}, "matches": true} +{"solution": {"solution": "\nLet's break down the problem into smaller parts to find the solution step by step.\n\n1. **Determine the time spent on the beach and the sidewalk:**\n - Grandma spends 40 minutes walking on the beach.\n - Since the total walking time is 40 minutes, the time spent on the sidewalk is $40 - 40 = 0$ minutes.\n\n2. **Calculate the speed on the beach and the sidewalk:**\n - Let the speed on the beach be $b$ miles per minute.\n - Since Grandma walks twice as fast on the sidewalk as on the beach, the speed on the sidewalk is $2b$ miles per minute.\n\n3. **Set up the distance equations:**\n - For the beach: $b \\times 40 = 2$ miles\n - For the sidewalk: $2b \\times 0 = 1$ mile\n\n4. **Solve for $b$:**\n - From the beach's distance equation: $40b = 2 \\Rightarrow b = \\frac{2}{40} = \\frac{1}{20}$ miles per minute.\n\n5. **Calculate the total time spent walking:**\n - On the beach: $40$ minutes\n - On the sidewalk: $0$ minutes (since she walks 1 mile in $0$ minutes, which is not possible, we realize there's a mistake in our setup. Given the total time is 40 minutes, we need to adjust our approach.)\n\n6. **Revise the approach to find the correct total time:**\n - Since the total time is 40 minutes, and we know the speed on the beach, we can calculate the time spent on the sidewalk by finding the distance covered at the sidewalk speed given the total time.\n - The total distance is 3 miles, and she covers 2 miles on the beach. Therefore, the distance covered on the sidewalk is $3 - 2 = 1$ mile.\n - Using the sidewalk speed, $2b = 2 \\times \\frac{1}{20} = \\frac{1}{10}$ miles per minute, and the distance to be covered is 1 mile, the time on the sidewalk is $\\frac{1}{\\frac{1}{10}} = 10$ minutes.\n\n7. **Calculate the total time:**\n - Time on the beach: $40$ minutes\n - Time on the sidewalk: $10$ minutes\n - Total time: $40 + 10 = 50$ minutes\n\nTherefore, the total time it takes for Grandma to complete the entire 3-mile walk is $\\boxed{50}$ minutes.\n\nAnswer: 50", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Jane has already saved $4 every week for 8 weeks, so she has saved a total of $4 x 8 = $32.\n\nTo reach a total of $60, she needs to save an additional $60 - $32 = $28.\n\nSince she saves $4 every week, she will need $28 / $4 = 7 more weeks to save the remaining $28.\n\nTherefore, it will take Jane 7 more weeks to have saved a total of $60.\n\nThe answer is: 7", "answer": {"result": 7.0}}, "matches": true} +{"solution": {"solution": "To find the total number of blue birds in all the trees, we need to add up the number of blue birds in each tree.\n\nFor the 3 trees with 7 blue birds each:\n3 trees * 7 birds/tree = 21 birds\n\nFor the 2 trees with 4 blue birds each:\n2 trees * 4 birds/tree = 8 birds\n\nFor the final tree with 3 blue birds:\n1 tree * 3 birds/tree = 3 birds\n\nNow, we add all the blue birds together:\n21 birds + 8 birds + 3 birds = 32 birds\n\nSo, in total, there were $\\boxed{32}$ blue birds in all the trees.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nFirst, let's find out how many marbles Bob has initially. \n\nWe know that if Bob receives 2 dozen more marbles, he will have 60 marbles. \n\nA dozen is equal to 12, so 2 dozen is equal to 2 * 12 = 24 marbles. \n\nIf Bob receives 24 marbles, he will have 60 marbles in total. \n\nTo find out how many marbles Bob has initially, we subtract the number of marbles he will receive from the total number of marbles he will have:\n\n60 marbles (total after receiving 2 dozen) - 24 marbles (received) = 36 marbles (initially).\n\nNow, if Bob loses 10 of the marbles he has, we subtract the number of marbles he loses from the initial number of marbles:\n\n36 marbles (initially) - 10 marbles (lost) = 26 marbles.\n\nBob will have $\\boxed{26}$ marbles after losing 10.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nTo solve this problem, we need to determine the minimum temperature of the second bottle of water.\n\nDonny can only drink water if it's at least 40 degrees. To make the water drinkable, he mixes water from both mugs.\n\nLet's denote the temperature of the second bottle as T degrees.\n\nDonny pours 4 ounces of water from the 33-degree mug and 1 ounce from the T-degree mug into his water bottle. \n\nThe total volume of water in the water bottle after mixing is 4 + 1 = 5 ounces.\n\nThe average temperature of the mixed water should be at least 40 degrees for Donny to drink it. \n\nThe total temperature of the mixed water is the sum of the temperatures of the water from both mugs, divided by the total volume of the mixed water.\n\nSo, we have the equation:\n\n(33 * 4 + T * 1) / 5 \u2265 40\n\nNow, let's solve for T:\n\n(132 + T) / 5 \u2265 40\n\nMultiplying both sides by 5:\n\n132 + T \u2265 200\n\nSubtracting 132 from both sides:\n\nT \u2265 200 - 132\n\nT \u2265 68\n\nTherefore, the second bottle must be at least 68 degrees for the mixed water to be drinkable.\n\nAnswer: The second bottle is at least 68 degrees.\n\nAnswer: \\boxed{68}", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Melanie's father starts with 50 cows and 20 chickens, so the initial total number of animals is 50 + 20 = 70.\n\nFor cows, he receives 20 cows per day for three weeks. There are 7 days in a week, so in three weeks, he receives:\n20 cows/day * 7 days/week * 3 weeks = 420 cows\n\nFor chickens, he receives 10 chickens per day for three weeks. Again, there are 7 days in a week, so in three weeks, he receives:\n10 chickens/day * 7 days/week * 3 weeks = 210 chickens\n\nNow, we add the initial number of animals to the number of animals received over the three weeks:\nInitial animals: 70\nAdditional cows: 420\nAdditional chickens: 210\n\nTotal animals after three weeks = 70 + 420 + 210 = 700\n\nSo, the total number of animals on the farm after three weeks is $\\boxed{700}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total cost of 4 packs of bagels without the discount:\n\n4 packs * $10.00 per pack = $40.00\n\nNow, let's calculate the discount amount, which is 10% of the total cost:\n\n10% of $40.00 = 0.10 * $40.00 = $4.00\n\nSubtract the discount from the total cost to find the final price after the discount:\n\n$40.00 - $4.00 = $36.00\n\nNow, let's find out how many bagels Russell gets with 4 packs:\n\n4 packs * 9 bagels per pack = 36 bagels\n\nFinally, to find the cost of each single bagel, divide the final price by the total number of bagels:\n\n$36.00 / 36 bagels = $1.00 per bagel\n\nSo, after the discount, each single bagel will cost $\\boxed{\\$1.00}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's find out how many scoops of mashed potatoes Gomer ate. According to the information given, Gomer ate 5 less than 23 scoops. \n\n23 scoops - 5 scoops = 18 scoops\n\nNow, we know that it takes 3 less than 6 potatoes to make 1 less than 3 scoops of mashed potatoes. Let's find out how many potatoes make one scoop of mashed potatoes.\n\n6 potatoes - 3 potatoes = 3 potatoes per scoop\n\nNow we can calculate how many potatoes Gomer ate by multiplying the number of scoops by the number of potatoes per scoop.\n\n18 scoops x 3 potatoes per scoop = 54 potatoes\n\nGomer ate $\\boxed{54}$ potatoes.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Chester eats 3 eggs a day for 30 days, so he consumes a total of 3 eggs/day * 30 days = 90 eggs.\n\nThen, he increases his consumption to 5 eggs a day for another 30 days, so he consumes an additional 5 eggs/day * 30 days = 150 eggs.\n\nIn total, for 60 days, Chester eats 90 eggs + 150 eggs = 240 eggs.\n\nSince there are 12 eggs in a dozen, Chester will need 240 eggs / 12 eggs/dozen = 20 dozens of eggs for 60 days.\n\n#### 20\nThe answer is: 20", "answer": {"result": 20.0}}, "matches": true} +{"solution": {"solution": "\nJess sees 17 green jelly beans and twice as many red jelly beans, so there are 17 * 2 = 34 red jelly beans.\nThe total number of green and red jelly beans is 17 + 34 = 51.\nTherefore, there must be 60 - 51 = 9 blue jelly beans.\n#### 9\nThe answer is: 9", "answer": {"result": 9.0}}, "matches": true} +{"solution": {"solution": "Tim grows 5 trees, and each tree produces 6 lemons per year. To find out how many lemons he gets in a decade, we need to multiply the number of trees by the number of lemons per tree, and then multiply by the number of years in a decade:\n\n5 trees * 6 lemons/tree * 10 years = 300 lemons\n\nTim gets $\\boxed{300}$ lemons in a decade.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Determine the number of men and women on the bus**:\n - The ratio of men to women is \\(5:9\\).\n - The total number of people on the bus is 84.\n - Let \\(5x\\) be the number of men and \\(9x\\) be the number of women.\n - To find \\(x\\), we use the equation:\n \\[\n 5x + 9x = 84\n \\]\n \\[\n 14x = 84\n \\]\n \\[\n x = \\frac{84}{14} = 6\n \\]\n\n2. **Calculate the number of men and women**:\n - Number of men:\n \\[\n 5x = 5 \\times 6 = 30\n \\]\n - Number of women:\n \\[\n 9x = 9 \\times 6 = 54\n \\]\n\n3. **Determine the number of women remaining after 20 alight**:\n - The number of women that alight is 20.\n - The number of women remaining is:\n \\[\n 54 - 20 = 34\n \\]\n\n### Conclusion:\n\nThe number of women remaining on the bus is \\(\\boxed{34}\\).", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Faraday earned $26 from the sunflower per day, and each sunflower costs $2, then he was able to sell $26/$2 = 13 sunflowers per day.\nIf Faraday earned $56 from the bouquet per day, and each bouquet costs $8, then he was able to sell $56/$8 = 7 bouquets per day.\nSince each bouquet has 12 sunflowers, Faraday was able to sell 7 bouquets x 12 sunflowers = 84 sunflowers per day from the bouquets.\nIn total, Faraday was able to sell 13 sunflowers + 84 sunflowers = 97 sunflowers per day.\nAfter 3 days, Faraday was able to sell 97 sunflowers x 3 days = 291 sunflowers.\n#### 291\nThe answer is: 291", "answer": {"result": 291.0}}, "matches": true} +{"solution": {"solution": "Adam buys rocks for $5 each and sells them for $7 each, so he makes a profit of $7 - $5 = $2 for each rock sold.\n\nIf he invests all his money, which is $100, he can buy $100 / $5 = 20 rocks.\n\nHe sells 60% of his inventory, so he sells 60/100 * 20 = 12 rocks.\n\nFor each of these 12 rocks, he makes a profit of $2, so his total profit is 12 * $2 = $24.\n\nSince he invested $100 and made a profit of $24, his total loss is $100 - $24 = $76.\n\nHowever, the question asks for the loss, not the profit. So, his loss is $76.\n\nThe final answer is $76.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nTo determine how many days it will take Lauren to complete the project, we need to calculate the total number of scenes she needs to draw and then divide that by her daily drawing capacity for each size. \n\n1. **Calculate the total number of large-sized scenes:**\n\nLauren needs to draw 45 large-sized scenes. \n\n2. **Calculate the total number of medium-sized scenes:**\n\nLauren needs to draw 36 medium-sized scenes. \n\n3. **Calculate the total number of small-sized scenes:**\n\nLauren needs to draw 49 small-sized scenes. \n\n4. **Calculate the total number of scenes to be drawn:**\n\nTo find the total number of scenes, we add the large, medium, and small-sized scenes together:\n\n\\[45 + 36 + 49 = 130\\]\n\n5. **Calculate the daily drawing capacity:**\n\nLauren can draw 5 large-sized scenes, 6 medium-sized scenes, or 7 small-sized scenes per day. To find her overall daily capacity, we add these together:\n\n\\[5 + 6 + 7 = 18\\]\n\n6. **Determine the number of days needed:**\n\nTo find out how many days it will take for Lauren to complete all the scenes, we divide the total number of scenes by her daily capacity:\n\n\\[130 \\div 18 = 7.22222...\\]\n\nSince Lauren can't work a fraction of a day, we round up to the nearest whole day to ensure all scenes are completed. Therefore, it will take her 8 days to complete the project.\n\nFinal Answer: $\\boxed{8 \\text{ days}}$", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Three dozen eggs mean 3 x 12 = 36 eggs in total.\nIf each child gets an equal share, we divide the total number of eggs by the number of children, which is 36 / 4 = 9.\nTherefore, each child receives 9 eggs.\n#### 9\nThe answer is: 9", "answer": {"result": 9.0}}, "matches": true} +{"solution": {"solution": "May has 31 days. \n\nEach fish needs $1 worth of food per day, so for 3 fish, the total daily cost would be:\n3 fish * $1/fish/day = $3/day\n\nFor the entire month of May, the total cost would be:\n$3/day * 31 days = $93\n\nJen would spend $\\boxed{\\$93}$ on food for her fish in May.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Patricia started with 30 roses. She gave 24 to her mother, so she had:\n\n30 - 24 = 6 roses left.\n\nThen she bought 15 more roses, so she added those to the 6 she had:\n\n6 + 15 = 21 roses.\n\nTherefore, Patricia now has $\\boxed{21}$ roses.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the average speed, we need to divide the total distance traveled by the total time taken. \n\nFirst, let's find the total distance traveled: \n110 miles + 140 miles = 250 miles \n\nNext, let's find the total time taken: \n2 hours + 3 hours = 5 hours \n\nNow, we can calculate the average speed: \nAverage speed = Total distance / Total time \nAverage speed = 250 miles / 5 hours \nAverage speed = 50 miles per hour \n\nSo, Sid's average speed was $\\boxed{50}$ miles per hour.The answer is: 50", "answer": {"result": 50.0}}, "matches": true} +{"solution": {"solution": "\nTo solve the problem, we need to calculate the probability that both lottery tickets are winners. Let's break down the solution step-by-step:\n\n1. **Define the probabilities for each ticket:**\n - The first ticket has a 20% chance of winning.\n - The second ticket is three times more likely to win than the first ticket. Therefore, the probability of the second ticket winning is $3 \\times 20\\% = 60\\%$.\n\n2. **Calculate the combined probability that both tickets are winners:**\n - The probability that two independent events both occur is the product of their individual probabilities.\n - Using the formula for the probability of independent events, we have:\n \\[\n P(\\text{both tickets win}) = P(\\text{first ticket wins}) \\times P(\\text{second ticket wins})\n \\]\n - Substituting the given probabilities:\n \\[\n P(\\text{both tickets win}) = 20\\% \\times 60\\%\n \\]\n - Converting percentages to decimals:\n \\[\n P(\\text{both tickets win}) = 0.20 \\times 0.60\n \\]\n\n3. **Perform the multiplication:**\n - Calculate the product:\n \\[\n 0.20 \\times 0.60 = 0.12\n \\]\n\n4. **Convert the probability back to a percentage:**\n - Multiply by 100 to express the probability as a percentage:\n \\[\n 0.12 \\times 100\\% = 12\\%\n \\]\n\n### Conclusion:\n\nThe probability that both tickets are winners is $\\boxed{12\\%}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nJim collected 27 seashells. \nSince Jim collected 5 more than Carlos, Carlos collected 27 - 5 = 22 seashells. \nCarlos collected twice as many as Carrey, so Carrey collected 22 / 2 = 11 seashells. \n\nIn total, they collected 27 + 22 + 11 = 60 seashells. \n\nThey divided them equally between themselves, so each person got 60 / 3 = 20 seashells. \n\nTherefore, each person got 20 seashells. \n\n#### 20\nThe answer is: 20", "answer": {"result": 20.0}}, "matches": true} +{"solution": {"solution": "Mason eats 4 carrots each on weekdays, so that's 4 carrots x 5 weekdays = 20 carrots.\nHe eats 5 carrots each on Saturday and Sunday, so that's 5 carrots x 2 days = 10 carrots.\nIn total, Mason eats 20 carrots + 10 carrots = 30 carrots in a week.\n#### 30\nThe answer is: 30", "answer": {"result": 30.0}}, "matches": true} +{"solution": {"solution": "The first song is 5 minutes long. \n\nThe second song is 60% longer than the first song. To find the extra time, we calculate 60% of 5 minutes:\n\n60% of 5 minutes = 0.60 * 5 = 3 minutes\n\nSo, the second song is 5 minutes + 3 minutes = 8 minutes long.\n\nTo find the total time of the cassette, we add the time of the first song and the second song:\n\n5 minutes (first song) + 8 minutes (second song) = 13 minutes\n\nTherefore, the total cassette is $\\boxed{13}$ minutes long.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Linus bought 2 devices last Monday at $20 each, so he spent 2 * $20 = $40 on Monday's purchase.\n\nHe bought 4 devices last Tuesday at $20 each, so he spent 4 * $20 = $80 on Tuesday's purchase.\n\nIn total, Linus spent $40 (Monday) + $80 (Tuesday) = $120 on the devices.\n\nHe sells each device for twice the original price, so he sells each device for $20 * 2 = $40.\n\nSince he bought 2 devices on Monday and 4 devices on Tuesday, he sold a total of 2 + 4 = 6 devices.\n\nHe earned $40 for each device, so he earned 6 * $40 = $240 from selling all the devices.\n\nTo find the profit, we subtract the total cost from the total earnings: $240 (earnings) - $120 (cost) = $120.\n\nTherefore, Linus earned a profit of $120 after selling all the mobile devices he bought last Monday and Tuesday.\n\nThe final answer is $\\boxed{120}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve the problem, we follow the given information step by step:\n\n1. **Determine Ned's Height**: Since Ned is two feet shorter than Isabel, and Isabel is 7 feet tall, we calculate Ned's height as follows:\n\\[ \\text{Ned's height} = \\text{Isabel's height} - 2 = 7 - 2 = 5 \\text{ feet} \\]\n\n2. **Determine Carl's Height**: Given that Carl is one foot taller than Ned, we add 1 foot to Ned's height to find Carl's height:\n\\[ \\text{Carl's height} = \\text{Ned's height} + 1 = 5 + 1 = 6 \\text{ feet} \\]\n\n3. **Calculate the Length of Carl's Cane**: Carl's cane is half as long as he is tall. Therefore, the length of the cane is half of Carl's height:\n\\[ \\text{Length of Carl's cane} = \\frac{\\text{Carl's height}}{2} = \\frac{6}{2} = 3 \\text{ feet} \\]\n\nThus, the length of Carl's cane is $\\boxed{3}$ feet.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Calculate the daily energy requirement for one person:**\n\n Each bottle of Hortex carrot juice covers \\(20\\%\\) of one person's daily energy demand. To find the full daily energy need for one person, we divide \\(100\\%\\) by \\(20\\%\\):\n \\[\n \\frac{100\\%}{20\\%} = 5 \\text{ bottles}\n \\]\n\n2. **Calculate the total daily energy requirement for 2300 people:**\n\n Each person requires 5 bottles per day. Therefore, for 2300 people, the total daily requirement is:\n \\[\n 2300 \\times 5 = 11500 \\text{ bottles}\n \\]\n\n3. **Determine the current daily production:**\n\n Hortex currently produces 4200 bottles of juice daily.\n\n4. **Calculate the additional bottles needed:**\n\n To meet the total daily energy requirement of 2300 people, Hortex needs to produce:\n \\[\n 11500 \\text{ bottles} - 4200 \\text{ bottles} = 7300 \\text{ bottles}\n \\]\n\n5. **Conclusion:**\n\n Hortex needs to produce an additional 7300 bottles of juice daily to meet the energy needs of 2300 people.\n\n\\[\n\\boxed{7300}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, we break it down into smaller, manageable steps:\n\n1. **Number of Babies Dressed in Purple and Blue:**\n - Carla dresses 3/4 of her 8 octuplets in purple, which is calculated as $\\frac{3}{4} \\times 8 = 6$ babies.\n - The remaining 1/4 are dressed in blue, calculated as $\\frac{1}{4} \\times 8 = 2$ babies.\n\n2. **Number of Babies Wearing Bows:**\n - All the babies wearing blue also wear bows, which is 2 babies.\n - Additionally, 1/3 of the purple-dressed babies wear bows, calculated as $\\frac{1}{3} \\times 6 = 2$ babies.\n\n3. **Total Number of Babies Wearing Bows:**\n - Adding the number of blue-dressed babies wearing bows (2) to the number of purple-dressed babies wearing bows (2), we get $2 + 2 = 4$ babies wearing bows.\n\n4. **Percentage of Babies Wearing Bows that are Purple:**\n - The percentage is calculated by dividing the number of purple-dressed babies wearing bows by the total number of babies wearing bows and then multiplying by 100.\n - This is done as follows: $\\frac{2}{4} \\times 100\\% = 50\\%$.\n\nTherefore, the percentage chance a baby wearing a bow is wearing purple is $\\boxed{50\\%}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how many reports were received on Wednesday, we first need to subtract the total number of reports received on Monday and Tuesday from the total number of reports received last week. \n\nTotal reports received last week: 5168\nTotal reports received on Monday and Tuesday: 1907\n\nSubtracting these gives us the reports received on Wednesday:\n\n5168 - 1907 = 3261\n\nTherefore, the IRS received $\\boxed{3261}$ tax reports on Wednesday.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nAbraham initially owns 80 square meters of land.\n\nHe sold half of the land, which is 80/2 = 40 square meters.\nHe earned $50 for this.\n\nAfter selling 40 square meters, he has 80 - 40 = 40 square meters of land left.\n\nThen, he sold 1/4 of the remaining land, which is 40/4 = 10 square meters.\nHe earned $30 for this.\n\nAfter selling 10 square meters, he has 40 - 10 = 30 square meters of land left.\n\nHe sold the remaining land for $3 per square meter, so he earned 30 * $3 = $90.\n\nIn total, he earned $50 + $30 + $90 = $170 from selling all his unused land.\n\n#### 170\nThe answer is: 170", "answer": {"result": 170.0}}, "matches": true} +{"solution": {"solution": "If Haley is 26 years old, then half of Haley's age is 26/2 = 13 years.\nGeb is 10 less than half of Haley's age, so Geb is 13 - 10 = 3 years old.\n#### 3\nThe answer is: 3", "answer": {"result": 3.0}}, "matches": true} +{"solution": {"solution": "If Tyrion changes his face mask two times every time he goes out, and he goes out three times a day, then he uses 2 * 3 = 6 face masks per day. \n\nTo find out how many face masks he uses every 2 days, we multiply the daily usage by 2:\n\n6 face masks/day * 2 days = 12 face masks\n\nTyrion uses $\\boxed{12}$ face masks every 2 days.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve the problem step by step, we follow the given information and calculate accordingly:\n\n1. **Lamar's Find**: Lamar finds 5 eggs.\n2. **Stacy's Find**: Stacy finds twice as many as Lamar, which is $2 \\times 5 = 10$ eggs.\n3. **Charlie's Find**: Charlie finds 2 less than Stacy, which is $10 - 2 = 8$ eggs.\n4. **Mei's Find**: Mei finds half as many as Charlie, which is $8 / 2 = 4$ eggs.\n5. **Total Found by Others**: Adding up the eggs found by Lamar, Stacy, Charlie, and Mei gives us $5 + 10 + 8 + 4 = 27$ eggs.\n\nGiven that Cole hid 3 dozen eggs initially, and converting dozens to eggs gives us $3 \\times 12 = 36$ eggs.\n\nTo find out how many eggs are still hidden, we subtract the total found by others from the initial number of eggs hidden:\n\n\\[36 - 27 = 9\\]\n\nTherefore, the number of eggs still hidden in the yard is $\\boxed{9}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's find out how many apartments are in the third complex. \n\nThe first two complexes have 200 apartments each, so together they have 200 + 200 = 400 apartments.\n\nThe third complex is 60% bigger than the other two combined, so it has 400 + (60% of 400) more apartments. \n\n60% of 400 is 0.60 * 400 = 240.\n\nSo, the third complex has 400 + 240 = 640 apartments.\n\nNow, let's calculate the total number of apartments John collects garbage from:\n\nThe first two complexes have 200 each, so together they have 2 * 200 = 400 apartments.\n\nThe third complex has 640 apartments.\n\nTotal apartments = 400 + 640 = 1040 apartments.\n\nJohn collects garbage from 3 complexes, 3 times a week, so he makes 3 * 3 = 9 collections per week.\n\nHe gets paid $.40 per collection for each apartment, so for 1040 apartments, he makes 1040 * $0.40 = $416 per week.\n\nTherefore, John makes $\\boxed{\\$416}$ in a week.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Determine the number of fruits produced by each age of the avocado tree:**\n\n - A 5-year-old avocado tree produces 50 fruits.\n - A 6-year-old avocado tree produces 3 times the initial amount (3 times 50):\n \\[\n 3 \\times 50 = 150 \\text{ fruits}\n \\]\n - A 7-year-old avocado tree produces 7 times the initial amount (7 times 50):\n \\[\n 7 \\times 50 = 350 \\text{ fruits}\n \\]\n - An 8-year-old avocado tree produces 200 fruits less than what a 10-year-old tree produces. Let's denote the number of fruits a 10-year-old tree produces by \\( F \\):\n \\[\n \\text{8-year-old tree's fruits} = F - 200\n \\]\n - A 9-year-old avocado tree produces no fruit.\n - A 10-year-old avocado tree produces 20 times the initial amount (20 times 50):\n \\[\n 20 \\times 50 = 1000 \\text{ fruits}\n \\]\n\n2. **Calculate the total number of fruits produced by the avocado tree over its 10-year lifespan:**\n\n \\[\n \\text{Total fruits} = 50 + 150 + 350 + (F - 200) + 0 + 1000\n \\]\n Combine like terms and solve for \\( F \\):\n \\[\n 50 + 150 + 350 + 1000 - 200 = 1350\n \\]\n\n3. **Conclusion:**\n\n The avocado tree can produce a total of 1350 fruits during its 10-year lifespan.\n\n\\[\n\\boxed{1350}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nSophia gave Jack 1/5 of her $100, which is 1/5 * $100 = $20.\nJack originally had $100, so after receiving $20 from Sophia, he now has $100 + $20 = $120.\n#### 120\nThe answer is: 120", "answer": {"result": 120.0}}, "matches": true} +{"solution": {"solution": "1. Let \\( R \\), \\( B \\), and \\( Y \\) represent the lengths of the red, blue, and yellow ropes, respectively.\n2. We are given the following relationships:\n - \\( R = 4B \\)\n - \\( B = Y - 7 \\)\n - The total length of the three ropes is \\( R + B + Y = 37 \\) cm\n\n3. Substitute the relationships into the total length equation:\n \\[\n R + B + Y = 37\n \\]\n Using \\( R = 4B \\) and \\( B = Y - 7 \\), substitute these into the total length equation:\n \\[\n 4B + (Y - 7) + Y = 37\n \\]\n\n4. Simplify the equation:\n \\[\n 4B + Y - 7 + Y = 37\n \\]\n Combine like terms:\n \\[\n 4B + 2Y - 7 = 37\n \\]\n\n5. Solve for \\( 2Y \\):\n \\[\n 2Y + 4B = 44\n \\]\n\n6. Substitute \\( B = Y - 7 \\) back into the equation:\n \\[\n 2Y + 4(Y - 7) = 44\n \\]\n\n7. Distribute and simplify:\n \\[\n 2Y + 4Y - 28 = 44\n \\]\n \\[\n 6Y - 28 = 44\n \\]\n\n8. Isolate \\( Y \\):\n \\[\n 6Y = 44 + 28\n \\]\n \\[\n 6Y = 72\n \\]\n \\[\n Y = \\frac{72}{6}\n \\]\n \\[\n Y = 12\n \\]\n\n9. Substitute \\( Y = 12 \\) back to find \\( B \\):\n \\[\n B = Y - 7\n \\]\n \\[\n B = 12 - 7\n \\]\n \\[\n B = 5\n \\]\n\n10. Finally, substitute \\( B = 5 \\) to find \\( R \\):\n \\[\n R = 4B\n \\]\n \\[\n R = 4 \\times 5\n \\]\n \\[\n R = 20\n \\]\n\n### Conclusion:\n\\[\n\\boxed{20}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Rissa was given thrice as much money as Ronnie, so Rissa received 3 * $5 = $15.\n\nAfter giving an equal amount to their little sister, Rissa is left with 4/5 of her money. This means she has kept 1 - 4/5 = 1/5 of her money.\n\nThe amount Rissa kept is 1/5 of $15, which is (1/5) * $15 = $3.\n\nSince Ronnie and Rissa gave the same amount to their sister, Ronnie also gave away the same $3.\n\nRonnie originally had $5, so after giving away $3, he has $5 - $3 = $\\boxed{\\$2}$ left.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Determine the total fraction of yellow paint**: Given that half the mural is yellow, the fraction of yellow paint is $\\frac{1}{2}$.\n\n2. **Calculate the fraction of non-yellow paint**: Since the yellow paint covers half, the non-yellow paint covers the other half. Therefore, the fraction of non-yellow paint is also $\\frac{1}{2}$.\n\n3. **Identify the number of non-yellow colors**: The non-yellow colors are red, white, and purple, all of which are used equally. Therefore, the fraction of the mural covered by each of these colors is $\\frac{1}{2} \\div 3 = \\frac{1}{6}$.\n\n4. **Calculate the total pints of red paint**: Since the fraction of the mural covered by red paint is $\\frac{1}{6}$ and the total pints of paint used is 12, the pints of red paint used is $12 \\times \\frac{1}{6} = 2$.\n\nThus, the number of pints of red paint used is $\\boxed{2}$.The answer is: 2", "answer": {"result": 2.0}}, "matches": true} +{"solution": {"solution": "Each bedroom measures 20 feet by 12 feet, so the area of one bedroom is 20 * 12 = 240 square feet.\nThere are 4 bedrooms, so the total area of the bedrooms is 4 * 240 = 960 square feet.\nThe living room is 5 times bigger than one bedroom, so the area of the living room is 5 * 240 = 1200 square feet.\nThe rest of the house is 1000 square feet.\nTherefore, the total area of the house is 960 + 1200 + 1000 = 3160 square feet.\n#### 3160\nThe answer is: 3160", "answer": {"result": 3160.0}}, "matches": true} +{"solution": {"solution": "On Monday, Alice counts 3 puffs of clouds.\n\nOn Tuesday, she sees double the number of clouds as Monday, so she counts 3 * 2 = 6 puffs of clouds.\n\nOn Wednesday, she sees double the number of clouds as Tuesday, so she counts 6 * 2 = 12 puffs of clouds.\n\nOn Thursday, she sees double the number of clouds as Wednesday, so she counts 12 * 2 = 24 puffs of clouds.\n\nOn Friday, she sees double the number of clouds as Thursday, so she counts 24 * 2 = 48 puffs of clouds.\n\nTo find the total number of clouds she counted across the five days, we add up the counts for each day: 3 + 6 + 12 + 24 + 48 = 93.\n\nTherefore, Alice will have counted a total of 93 puffs of clouds in the sky at lunch across all five days.\n\nAnswer: \\boxed{93}", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If the regular box has 100 dishwasher pods and costs $12, then the cost per pod is $12/100 = $0.12 per pod.\n\nThe special size box has 20% more pods than the regular box, so it has 100 + (20/100) * 100 = 100 + 20 = 120 pods.\n\nThe special size box costs the same as the regular box, which is $12.\n\nTherefore, the cost per pod for the special size box is $12/120 = $0.10 per pod.\n\nIf you use 1 pod per dishwasher cycle and the cost per pod is $0.10, then you can run 1 dishwasher cycle for $0.10.\n\nSo, for $1, you can run 1/$0.10 = 10 dishwasher cycles.\n\n#### 10\nThe answer is: 10", "answer": {"result": 10.0}}, "matches": true} +{"solution": {"solution": "Thomas withdraws $1000 in 20 dollar bills, so he initially has 1000/20 = 50 bills.\nHe loses 10 bills while getting home, so he has 50 - 10 = 40 bills remaining.\nHe uses half of the remaining bills to pay for a bill, so he uses 40/2 = 20 bills.\nAfter using 20 bills, he has 40 - 20 = 20 bills remaining.\nThomas then triples his money, so he now has 20 * 3 = 60 bills.\nFinally, he converts all his bills to 5 dollar bills, so he has 60 / 5 = 12 five dollar bills.\n#### 12\nThe answer is: 12", "answer": {"result": 12.0}}, "matches": false} +{"solution": {"solution": "\nTo solve this problem, let's break it down step by step, following the given information and calculations: \n\n1. **First Half Scores:**\n - Team A scores 4 goals.\n - Team B scores 2 goals fewer than team A. Therefore, the goals scored by Team B in the first half are:\n \\[\n 4 - 2 = 2 \\text{ goals}\n \\]\n\n2. **Second Half Scores:**\n - Team B scores 4 times the number of goals it scored in the first half. Consequently, the goals scored by Team B in the second half are:\n \\[\n 4 \\times 2 = 8 \\text{ goals}\n \\]\n\n - Team A scores \\( \\frac{1}{4} \\) of the number of goals scored by Team B in the second half. Therefore, the goals scored by Team A in the second half are:\n \\[\n \\frac{1}{4} \\times 8 = 2 \\text{ goals}\n \\]\n\n3. **Total Goals Scored by Each Team:**\n - Team A's total goals scored (first half + second half):\n \\[\n 4 + 2 = 6 \\text{ goals}\n \\]\n\n - Team B's total goals scored (first half + second half):\n \\[\n 2 + 8 = 10 \\text{ goals}\n \\]\n\n4. **Total Goals Scored in the Match:**\n To find the total number of goals scored by both teams, we add the goals scored by Team A and Team B:\n \\[\n 6 + 10 = 16 \\text{ goals}\n \\]\n\n### Conclusion:\nThe total number of goals scored in the match is \n\n\\[\n\\boxed{16}\n\\]\n", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Initial Chalk Length**: The piece of chalk is initially 5 inches long.\n2. **Percentage Used**: The teacher uses 45% of the chalk by the end of Monday.\n3. **Chalk Remaining After Monday**: \n \\[\n 100\\% - 45\\% = 55\\%\n \\]\n Converting 55% to a fraction:\n \\[\n \\frac{55}{100}\n \\]\n Multiplying this by the initial length (5 inches):\n \\[\n 5 \\times \\frac{55}{100} = 2.75 \\text{ inches}\n \\]\n4. **Percentage of Chalk Used Each Day (Thereafter)**: The teacher aims to use only 20% of the chalk each day.\n5. **Length of Chalk Each Day**: \n \\[\n \\frac{20}{100} \\times 2.75 = 0.55 \\text{ inches}\n \\]\n6. **Number of Days Before Recycling**: \n \\[\n \\frac{2.75 \\text{ inches}}{0.55 \\text{ inches per day}} = 5\n \\]\n\nThus, the teacher can continue using this piece of chalk for approximately 5 more days before it becomes too small to use effectively.\n\n\\[\n\\boxed{5}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. Calculate the number of girls on varsity:\n \\[\n \\frac{1}{3} \\times 12 = 4\n \\]\n So, 4 girls are on varsity.\n\n2. Calculate the number of boys on varsity:\n \\[\n \\frac{1}{4} \\times 12 = 3\n \\]\n So, 3 boys are on varsity.\n\n3. Calculate the total number of students on varsity:\n \\[\n 4 \\text{ (girls)} + 3 \\text{ (boys)} = 7\n \\]\n\n4. Calculate the total number of students not on varsity:\n \\[\n 12 \\text{ (girls)} + 12 \\text{ (boys)} - 7 \\text{ (on varsity)} = 17\n \\]\n\nConclusion:\nThe number of students not on varsity is $\\boxed{17}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Thrice as many as Mike's face masks is 5 * 3 = 15 face masks.\n\nJohnny bought 2 more than thrice as many as Mike, so Johnny bought 15 + 2 = 17 face masks.\n\nTherefore, Johnny bought 17 face masks.\n\n#### 17\nThe answer is: 17", "answer": {"result": 17.0}}, "matches": true} +{"solution": {"solution": "First, calculate the total number of teeth James' dentist fixes:\n1. Drilled teeth: 4\n2. Capped teeth: 7 more than drilled, so $7 + 4 = 11$\n3. Total fixed teeth: $4 + 11 = 15$\n\nNext, determine the percentage of James' total teeth that are fixed:\n1. Total teeth: 30\n2. Teeth fixed: 15\n3. Percentage fixed: $\\frac{15}{30} \\times 100\\% = 50\\%$\n\nThe dentist fixes $\\boxed{50\\%}$ of James' teeth.The answer is: 50", "answer": {"result": 50.0}}, "matches": true} +{"solution": {"solution": "1. **Calculate the total cost of milk purchased:**\n - Mr. Marcellus bought 4000 gallons of milk at $3.5 per gallon.\n - Total cost = 4000 gallons \\(\\times\\) $3.5 per gallon = $14,000.\n\n2. **Determine the amount of milk that went bad:**\n - 2/5 of the total milk purchased went bad.\n - Amount of bad milk = \\(\\frac{2}{5} \\times 4000\\) gallons = 1600 gallons.\n\n3. **Calculate the refund amount:**\n - The refund is for the cost of the bad milk.\n - Refund = 1600 gallons \\(\\times\\) $3.5 per gallon = $5600.\n\n### Conclusion:\nMr. Marcellus received a refund of $\\boxed{5600}$ dollars.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. Let \\( C \\) represent Colin's current age.\n2. According to the problem, in 7 years, Wendy will be \\( 5 \\) times as old as Colin is then. Therefore, Wendy's current age is:\n \\[\n 5(C + 7)\n \\]\n3. In 25 years, Wendy's age will be:\n \\[\n 5(C + 7) + 25\n \\]\n4. In 25 years, Colin's age will be:\n \\[\n C + 25\n \\]\n5. According to the problem, in 25 years, Colin will be one-third as old as Wendy is now. Hence, we set up the equation:\n \\[\n C + 25 = \\frac{1}{3} \\left(5(C + 7) + 25\\right)\n \\]\n6. Simplify and solve for \\( C \\):\n \\[\n C + 25 = \\frac{1}{3} \\left(5C + 35 + 25\\right)\n \\]\n \\[\n C + 25 = \\frac{1}{3} \\left(5C + 60\\right)\n \\]\n \\[\n C + 25 = \\frac{5C}{3} + 20\n \\]\n7. Multiply through by 3 to clear the fraction:\n \\[\n 3C + 75 = 5C + 60\n \\]\n8. Solve for \\( C \\):\n \\[\n 75 - 60 = 5C - 3C\n \\]\n \\[\n 15 = 2C\n \\]\n \\[\n C = \\frac{15}{2}\n \\]\n \\[\n C = 7.5\n \\]\n\n### Conclusion:\nColin is currently 7.5 years old.\n\n\\[\n\\boxed{7.5}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Bob spends a total of $27000 on books.\nHe can buy 100 books for $500, so each book costs $500/100 = $5.\nTo find out how many books he can buy per school, we need to divide the total amount spent by the cost per book.\nSo, $27000 / $5 = 5400 books.\nSince Bob is distributing the books between 3 schools, he can buy 5400/3 = 1800 books per school.\n#### 1800\nThe answer is: 1800", "answer": {"result": 1800.0}}, "matches": true} +{"solution": {"solution": "Newton initially picked up two apples.\n\n1. He threw one apple back into the tree, causing 5 more to fall, making it 6 apples total.\n2. He picked up these 6 apples, put all but one in his pocket (leaving 5 in his pocket), and threw the remaining one, causing 6 more to fall.\n3. He picked up these 6 new apples, putting all but one in his pocket (leaving 5 in his pocket), and kept the last one.\n\nCalculating the total:\n- Initially, he had 2 apples.\n- After the first throw, he had 5 more apples (6 total).\n- After the second throw, he had 5 more apples (11 total).\n- After the third pick-up, he had 5 apples (16 total).\n\nThus, Newton brought home $\\boxed{16}$ apples to make a pie. The answer is 16", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the total cost of Ali's coal order, we follow these steps:\n\n1. Determine the number of bags needed:\n - Since each bag contains 50 kilos of coal and Ali needs 850 kilos, the number of bags required is calculated by dividing the total kilos by the kilos per bag:\n \\[\n \\text{Number of bags} = \\frac{850 \\, \\text{kilos}}{50 \\, \\text{kilos/bag}} = 17 \\, \\text{bags}\n \\]\n\n2. Calculate the total cost:\n - Given that each bag costs $18, the total cost of the order is found by multiplying the number of bags by the cost per bag:\n \\[\n \\text{Total cost} = 17 \\, \\text{bags} \\times \\$18/\\text{bag} = \\$306\n \\]\n\nTherefore, the total cost of Ali's coal order is $\\boxed{\\$306}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Kate's 6 friends eat a total of 6 friends x 6 cheese slices = 36 cheese pizza slices.\nKate's 6 friends eat a total of 6 friends x 4 pepperoni slices = 24 pepperoni pizza slices.\nTo calculate the number of cheese pizzas needed, we divide the total cheese slices by the number of slices per pizza: 36 cheese slices / 12 slices per pizza = 3 cheese pizzas.\nTo calculate the number of pepperoni pizzas needed, we divide the total pepperoni slices by the number of slices per pizza: 24 pepperoni slices / 8 slices per pizza = 3 pepperoni pizzas.\nTherefore, Kate needs to buy 3 cheese pizzas + 3 pepperoni pizzas = 6 pizza pies in total.\n#### 6\nThe answer is: 6", "answer": {"result": 6.0}}, "matches": true} +{"solution": {"solution": "Sam ran 3 miles on Monday, Wednesday, and Friday, so that's 3 miles x 3 days = 9 miles.\nSam ran 5 miles on Tuesday and Thursday, so that's 5 miles x 2 days = 10 miles.\nIn total, Sam ran 9 miles + 10 miles = 19 miles this week.\n#### 19\nThe answer is: 19", "answer": {"result": 19.0}}, "matches": true} +{"solution": {"solution": "\nJay can build 20 snowballs in an hour, which means he builds 20/60 = 1/3 snowballs per minute.\nHowever, 2 snowballs melt every 15 minutes, so he loses 2/15 = 2/15 snowballs per minute.\nTo find out how long it will take before he has 60 snowballs, we need to calculate the net increase in snowballs per minute.\nThe net increase is 1/3 - 2/15 = 5/15 - 2/15 = 3/15 = 1/5 snowballs per minute.\nTo accumulate 60 snowballs, it will take him 60 / (1/5) = 60 * 5 = 300 minutes.\n#### 300\nThe answer is: 300", "answer": {"result": 300.0}}, "matches": false} +{"solution": {"solution": "If John was twice as old as Jim 20 years ago, then John's age then was 28 - 20 = 8 years old. \n\nSince John was twice as old as Jim at that time, Jim's age then was 8 / 2 = 4 years old.\n\nTo find Jim's current age, we add 20 years to his age at that time: 4 + 20 = 24 years old.\n\nSo, Jim is $\\boxed{24}$ years old now.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Doxa ate 1 slice.\nHer sister ate 1 more than Doxa, so she ate 1 + 1 = 2 slices.\nHer brother ate 1 more than her sister, so he ate 2 + 1 = 3 slices.\nIn total, they ate 1 + 2 + 3 = 6 slices of apple.\n#### 6\nThe answer is: 6", "answer": {"result": 6.0}}, "matches": true} +{"solution": {"solution": "Let's break down the problem step by step.\n\n1. **First Day:**\n - The nurses used 38 bandages.\n - They ordered one bulk pack of bandages, which contains 50 bandages.\n\n2. **Second Day:**\n - They used 10 fewer bandages than the first day.\n - Therefore, the number of bandages used on the second day is \\(38 - 10 = 28\\) bandages.\n\n3. **Third Day:**\n - They ordered two bulk packs of bandages, which contain \\(2 \\times 50 = 100\\) bandages.\n - They used half a pack, which is \\(50 / 2 = 25\\) bandages.\n\n4. **Ending Inventory:**\n - At the end of the third day, they had 78 bandages left.\n\nNow, let's calculate the total number of bandages used over the three days:\n\n- Bandages used on the first day: 38\n- Bandages used on the second day: 28\n- Bandages used on the third day: 25\n\nTotal bandages used = \\(38 + 28 + 25 = 91\\) bandages\n\nTo find out how many bandages they started with, we add the total bandages used to the bandages remaining:\n\n\\[ \\text{Starting bandages} = \\text{Total bandages used} + \\text{Bandages remaining} \\]\n\\[ \\text{Starting bandages} = 91 + 78 \\]\n\\[ \\text{Starting bandages} = 169 \\]\n\nThus, the nurses started with 169 bandages on the first day.\n\n\\(\\boxed{169}\\)", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "May's hair was cut by 10 - 8 = 2 inches.\nSo, the haircut cost 2 * $30 = $60.\nIncluding the cost of the color, her total cost was $60 + $40 = $100.\nThe answer is 100", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nJen works 7.5 hours/day * 6 days/week = 45 hours/week.\n\nIn April, which has 4 weeks, she works 4 weeks * 45 hours/week = 180 hours.\n\nHer hourly rate is $1.5, so her earnings for the hours worked are 180 hours * $1.5/hour = $270.\n\nShe also receives an additional $10 for complete attendance, so her total earnings for April are $270 + $10 = $280.\n\nTherefore, Jen will receive $280 for the month of April.\n\nAnswer: $280", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Jason earned $0.50 for emptying the dishwasher 6 times, so he earned 6 * $0.50 = $3.00\nJason earned $3.00 for doing his laundry once.\nJason took the trash to the curb twice, earning 2 * $0.75 = $1.50\nJason earned $1.50 for cleaning his room once.\nIn total, Jason earned $3.00 + $3.00 + $1.50 + $1.50 = $9.00\n#### 9\nThe answer is: 9", "answer": {"result": 9.0}}, "matches": true} +{"solution": {"solution": "\nIf each whale has 40 gallons of blood, then a shark, which has three times as much blood as a whale, has 40 * 3 = 120 gallons of blood.\n\nSince there are ten sharks, the total amount of blood in the sharks is 120 * 10 = 1200 gallons.\n\n#### 1200\nThe answer is: 1200", "answer": {"result": 1200.0}}, "matches": true} +{"solution": {"solution": "\n1. Determine the number of people who came in the morning:\n - There were 50 people who came in the morning.\n\n2. Determine the number of people who came at 10:00:\n - 40 people came at 10:00.\n\n3. Determine the number of people who had lunch:\n - Twice the number of people who came at 10:00 = \\(2 \\times 40 = 80\\) people.\n\n4. Determine the number of people who came in the evening:\n - Three times the number of people who came in the morning = \\(3 \\times 50 = 150\\) people.\n\n5. Calculate the total number of people who entered the restaurant:\n - Total number of people = \\(50\\) (morning) + \\(40\\) (10:00) + \\(80\\) (lunch) + \\(150\\) (evening)\n - Simplify the calculation:\n \\[\n 50 + 40 + 80 + 150 = 320\n \\]\n\n### Conclusion:\n\\[\n\\boxed{320}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Alain's mom bought 5 packs of red pens, so she bought a total of 5 * 5 = 25 red pens.\n\nShe bought twice the amount of black pens as red, so she bought 2 * 25 = 50 black pens.\n\nIn total, Alain has 25 red pens + 50 black pens = $\\boxed{75}$ pens.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nJohn buys 10 bottles of scotch for a total cost of $600. \n\nSo, the cost per bottle of scotch is $600 / 10 = $60. \n\nHe buys twice as many bottles of cognac, so he buys 10 * 2 = 20 bottles of cognac. \n\nThe cost per bottle of cognac is 50% more than the cost per bottle of scotch, so it is $60 + ($60 * 50%) = $60 + $30 = $90. \n\nHe buys 20 bottles of cognac at $90 each, so he spends 20 * $90 = $1800 on cognac. \n\nHe spends $600 on scotch and $1800 on cognac, so he spends $600 + $1800 = $2400 on everything. \n\n#### 2400\nThe answer is: 2400", "answer": {"result": 2400.0}}, "matches": true} +{"solution": {"solution": "\n\nOn the first day, Mr. Julius planted 20 White Oak trees and twice as many Lodgepole Pine trees, so he planted 20 * 2 = 40 Lodgepole Pine trees.\n\nOn the second day, he planted 10 more White Oak trees, so he planted 20 + 10 = 30 White Oak trees.\n\nHe also planted 1/4 more Lodgepole Pine trees than he planted on the first day, so he planted 40 * (1/4) = 10 more Lodgepole Pine trees.\n\nTherefore, on the second day, he planted 40 + 10 = 50 Lodgepole Pine trees.\n\nIn total, Mr. Julius planted 20 + 30 = 50 White Oak trees and 40 + 50 = 90 Lodgepole Pine trees.\n\nSo, the total number of trees planted by Mr. Julius in the two days is 50 + 90 = 140 trees.\n\n#### 140\nThe answer is: 140", "answer": {"result": 140.0}}, "matches": true} +{"solution": {"solution": "Fred initially made 24 gallons of root beer. \nOn the first day, his children drank 4 gallons, leaving 24 - 4 = 20 gallons. \nOn the second day, Barbie accidentally spilled 7 gallons, so there were 20 - 7 = 13 gallons remaining. \nOn the third day, Ronnie drank 5 gallons, leaving 13 - 5 = 8 gallons. \nOn the fourth day, 3 people shared the remaining 8 gallons equally. \nTherefore, each person had 8 / 3 = 2.67 gallons of root beer available for the party. \n#### 2.67\nThe answer is: 2.67", "answer": {"result": 2.67}}, "matches": false} +{"solution": {"solution": "Let's represent the number of coffee mugs in the teacher's lounge as x.\nFour times the number of coffee mugs is 4x.\nEight more than four times the number of coffee mugs is 4x + 8.\nAccording to the problem, 4x + 8 = 40.\nSubtracting 8 from both sides of the equation, we get 4x = 32.\nDividing both sides of the equation by 4, we get x = 8.\nTherefore, there are 8 coffee mugs in the teacher's lounge.\n#### 8\nThe answer is: 8", "answer": {"result": 8.0}}, "matches": true} +{"solution": {"solution": "One-third of the fish have red stripes, so there are 66 * 1/3 = 22 fish with red stripes.\nThe remaining fish are 66 - 22 = 44 fish.\n5/11 of the remaining fish have blue stripes, so there are 44 * 5/11 = 20 fish with blue stripes.\nAltogether, there are 22 + 20 = 42 fish with red stripes and blue stripes.\n#### 42\nThe answer is: 42", "answer": {"result": 42.0}}, "matches": true} +{"solution": {"solution": "Amy had two eyeshadow palettes with four colors each, so she had a total of 2 * 4 = 8 colors from the palettes.\nShe also had three makeup sets that came with six eyeshadow colors each, so she had a total of 3 * 6 = 18 colors from the makeup sets.\nIn total, Amy had 8 + 18 = 26 eyeshadow colors.\nHer sister steals one of the palettes, which had 4 colors, so Amy is left with 26 - 4 = 22 colors.\nAmy uses up half of the colors from one makeup set, which is 6 / 2 = 3 colors.\nSo, Amy is left with 22 - 3 = 19 eyeshadow colors.\n#### 19\nThe answer is: 19", "answer": {"result": 19.0}}, "matches": true} +{"solution": {"solution": "First, we need to find the height of the first floor's ceiling. Since it is thrice as high as Mattison, we calculate:\n\\[ 60 \\text{ inches} \\times 3 = 180 \\text{ inches} \\]\n\nNext, we find the total height of the house by multiplying Mattison's height by 7 (since the house is 7 times as high as he is):\n\\[ 60 \\text{ inches} \\times 7 = 420 \\text{ inches} \\]\n\nTo find the height of the second floor's ceiling, we subtract the first floor's ceiling height from the total height of the house:\n\\[ 420 \\text{ inches} - 180 \\text{ inches} = 240 \\text{ inches} \\]\n\nTherefore, the height of the roof from the second floor's floor is:\n\\[ \\boxed{240 \\text{ inches}} \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Team Alphas found 40% of the shells, which is 40/100 * 700 = 280 shells.\nThe remaining shells after team Alphas found their share is 700 - 280 = 420 shells.\nTeam The finders found 60% of the remaining shells, which is 60/100 * 420 = 252 shells.\nThe remaining shells after team The finders found their share is 420 - 252 = 168 shells.\nTherefore, team Gogetters found 168 shells.\n#### 168\nThe answer is: 168", "answer": {"result": 168.0}}, "matches": true} +{"solution": {"solution": "To find out how many miles the last dog needs, we can start by adding up the total miles walked by the first three dogs:\n\nFirst dog: 1 mile\nSecond dog: 4 miles\nThird dog: 3 miles\n\nTotal miles for the first three dogs: 1 + 4 + 3 = 8 miles\n\nSince the average mileage for all four dogs is 3 miles per day, we can find the total miles needed for all four dogs by multiplying the average by the number of dogs:\n\nTotal miles for all four dogs = 3 miles/dog * 4 dogs = 12 miles\n\nNow, to find out how many miles the last dog needs, we subtract the total miles walked by the first three dogs from the total miles needed for all four dogs:\n\nMiles needed by the last dog = Total miles for all four dogs - Total miles for the first three dogs\nMiles needed by the last dog = 12 miles - 8 miles = 4 miles\n\nTherefore, the last dog needs to walk $4$ miles per day.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the loan amount John gets by mortgaging his home. \n\nThe loan amount is 40% of the value of his home, which is $250,000. \n\nLoan amount = 40% of $250,000 = 0.40 * $250,000 = $100,000\n\nNext, let's calculate how much of the loan he uses to pay off his debts. \n\nHe uses 60% of the loan amount to pay off his debts. \n\nDebt payment amount = 60% of $100,000 = 0.60 * $100,000 = $60,000\n\nFinally, let's calculate how much money he has leftover after paying off his debts.\n\nLeftover amount = Loan amount - Debt payment amount = $100,000 - $60,000 = $40,000\n\nJohn has $\\boxed{\\$40,000}$ leftover after paying off his debts.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nDeandre caught 3 tunas, so he will earn 3 x $0.50 = $1.50 for each tuna.\n\nThe first tuna weighs 56 kilograms, so he will earn 56 x $0.50 = $28 for the first tuna.\n\nThe second tuna weighs 46 kilograms, so he will earn 46 x $0.50 = $23 for the second tuna.\n\nThe last tuna weighs 26 kilograms, so he will earn 26 x $0.50 = $13 for the last tuna.\n\nTherefore, Deandre will earn a total of $28 + $23 + $13 = $64 after selling all the tunas to the market.\n\n#### 64\nThe answer is: 64", "answer": {"result": 64.0}}, "matches": true} +{"solution": {"solution": "Trinity sells the magazines at 11/8 of the price she bought them for, so she sells them for 11/8 * $72 = $99.\n\nHer profit is the selling price minus the buying price, so her profit is $99 - $72 = $27. \n\n#### 27\nThe answer is: 27", "answer": {"result": 27.0}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's break down the amount of water removed by the dehumidifier on each setting and then calculate the total amount removed over the given time periods.\n\n1. **Low Setting Efficiency**: The dehumidifier removes 1 liter of water per day on the low setting.\n\n2. **Medium Setting Efficiency**: The medium setting removes twice as much water per day as the low setting. Therefore, the medium setting removes $2 \\times 1 = 2$ liters of water per day.\n\n3. **High Setting Efficiency**: The high setting removes twice as much water per day as the medium setting. Thus, the high setting removes $2 \\times 2 = 4$ liters of water per day.\n\nNow, let's calculate the total amount of water removed over the given time periods:\n\n- **Low Setting**: Over 3 days, the dehumidifier removes $3 \\times 1 = 3$ liters of water.\n\n- **Medium Setting**: Over 3 days, the dehumidifier removes $3 \\times 2 = 6$ liters of water.\n\n- **High Setting**: Over 5 days, the dehumidifier removes $5 \\times 4 = 20$ liters of water.\n\nTo find the total amount of water removed, we add the amounts from each setting:\n\n$$3 \\, \\text{liters} + 6 \\, \\text{liters} + 20 \\, \\text{liters} = 29 \\, \\text{liters}$$\n\nTherefore, the total amount of water removed from the air in Brian's basement by the dehumidifier over the given time periods is $\\boxed{29}$ liters.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Jolene filled up 10 packs of balloons with 30 balloons per pack, so she initially had 10 x 30 = 300 balloons.\nBy the end of the afternoon, there were 12 balloons left, so they threw 300 - 12 = 288 balloons.\n#### 288\nThe answer is: 288", "answer": {"result": 288.0}}, "matches": true} +{"solution": {"solution": "First, we need to determine the amount of the second medicine. Saanvi uses 3 times the amount of the first medicine, which is 14 mL. So, the second medicine used is:\n\\[ 3 \\times 14 \\, \\text{mL} = 42 \\, \\text{mL} \\]\n\nNow, the total amount of each dose is the sum of both medicines:\n\\[ 14 \\, \\text{mL} + 42 \\, \\text{mL} = 56 \\, \\text{mL} \\]\n\nTo find the total amount of medicine in 8 doses, multiply the amount per dose by 8:\n\\[ 56 \\, \\text{mL/dose} \\times 8 \\, \\text{doses} = 448 \\, \\text{mL} \\]\n\nThus, there would be $\\boxed{448}$ mL of medicine in 8 doses.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Ali's class has a capacity of 120 students, then each of John's classes has a capacity of 1/8 * 120 = 15 students. \nSince John has two classes, the total capacity of John's classes is 2 * 15 = 30 students. \nThe combined capacity of both schools is 120 + 30 = 150 students. \n#### 150\nThe answer is: 150", "answer": {"result": 150.0}}, "matches": true} +{"solution": {"solution": "\n1. **Calculate the interest Stephen owes:**\n\n Stephen borrowed $300 and promised to return it with an additional 2% of the money he owed.\n\n The interest amount can be calculated as:\n \\[\n \\text{Interest} = \\frac{2}{100} \\times 300 = \\frac{2 \\times 300}{100} = \\frac{600}{100} = 6 \\, \\text{dollars}\n \\]\n\n2. **Calculate the total amount Stephen has to repay:**\n\n The total amount to be repaid is the initial borrowed amount plus the interest:\n \\[\n \\text{Total amount} = 300 + 6 = 306 \\, \\text{dollars}\n \\]\n\n3. **Calculate the monthly installments for 11 months:**\n\n Stephen will pay $25 per month for 11 months:\n \\[\n \\text{Total for 11 months} = 25 \\times 11 = 275 \\, \\text{dollars}\n \\]\n\n4. **Determine the remaining amount to be paid in the twelfth month:**\n\n Subtract the total amount paid over 11 months from the total amount to be repaid:\n \\[\n \\text{Remaining amount} = 306 - 275 = 31 \\, \\text{dollars}\n \\]\n\n5. **Conclusion:**\n\n Stephen will pay $31 in the twelfth month to settle the remaining debt.\n\n\\[\n\\boxed{31}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Jordan has 2 children who wear diapers, and each child requires 5 diaper changes per day.\nSo, in total, Jordan's children require 2 children * 5 diaper changes/child = 10 diaper changes per day.\nJordan's wife changes half of the diapers, which is 10 diaper changes / 2 = 5 diaper changes per day.\nTherefore, Jordan changes the remaining diapers, which is 10 diaper changes - 5 diaper changes = 5 diaper changes per day.\n#### 5\nThe answer is: 5", "answer": {"result": 5.0}}, "matches": true} +{"solution": {"solution": "First, let's calculate the volume of the jar. The jar has a square base with dimensions 6 inches by 6 inches, so the base area is:\n\nArea = 6 inches * 6 inches = 36 square inches\n\nThe height of the jar is 15 inches. Therefore, the volume of the jar is:\n\nVolume = Base Area * Height\nVolume = 36 square inches * 15 inches = 540 cubic inches\n\nNow, let's calculate the volume of a single jelly bean. Tim knows that a jelly bean is 0.15 cubic inches:\n\nVolume of one jelly bean = 0.15 cubic inches\n\nSince they get about 80% efficiency in packing, the actual volume taken up by the jelly beans in the jar is:\n\nActual volume of jelly beans = Volume of jar * Efficiency\nActual volume of jelly beans = 540 cubic inches * 80%\nActual volume of jelly beans = 540 cubic inches * 0.80\nActual volume of jelly beans = 432 cubic inches\n\nNow, let's calculate the number of jelly beans that can fit in the jar with 80% efficiency:\n\nNumber of jelly beans = Actual volume of jelly beans / Volume of one jelly bean\nNumber of jelly beans = 432 cubic inches / 0.15 cubic inches\nNumber of jelly beans = 2880\n\nTim estimates that 30% of the jelly beans are red. Therefore, the estimated number of red jelly beans is:\n\nEstimated number of red jelly beans = Number of jelly beans * Percentage of red jelly beans\nEstimated number of red jelly beans = 2880 * 30%\nEstimated number of red jelly beans = 2880 * 0.30\nEstimated number of red jelly beans = 864\n\nThe true number of red jelly beans is 900. To find out how far off Tim's guess was, we subtract his estimated number from the true number:\n\nDifference = True number of red jelly beans - Estimated number of red jelly beans\nDifference = 900 - 864\nDifference = 36\n\nTim's guess was off by $\\boxed{36}$ red jelly beans.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Determine the number of people on the bus after the first stop:**\n\n Initially, the bus had 20 people, and 40 people boarded at the first stop.\n\n \\[\n \\text{Number of people after the first stop} = 20 + 40 = 60\n \\]\n\n2. **Calculate the number of people who boarded at the second stop:**\n\n At the second stop, \\(3/4\\) of the total number of people who boarded at the first stop entered the bus.\n\n \\[\n \\text{Number of people who boarded at the second stop} = \\frac{3}{4} \\times 40 = 30\n \\]\n\n3. **Determine the total number of people on the bus after the second stop:**\n\n Adding the people who boarded at the first and second stops to the initial count.\n\n \\[\n \\text{Total number of people after the second stop} = 60 + 30 = 90\n \\]\n\n4. **Find the number of people on the bus after the third stop:**\n\n At the third stop, the number of passengers on the bus doubled.\n\n \\[\n \\text{Number of people after the third stop} = 90 \\times 2 = 180\n \\]\n\n5. **Calculate the remaining capacity of the bus:**\n\n The bus has a capacity of 200 people.\n\n \\[\n \\text{Remaining capacity of the bus} = 200 - 180 = 20\n \\]\n\n6. **Determine the number of additional people needed to fill the remaining spaces:**\n\n We need to find how many more passengers are required to fill the remaining spaces.\n\n \\[\n \\text{Number of additional people needed} = 200 - 180 = 20\n \\]\n\n### Conclusion:\n\n\\[\n\\boxed{20}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Initial Cost per Visit:**\n\n The cost of one visit to the museum is initially $2.\n\n2. **Total Visits Over 5 Years:**\n\n Pauline visits the museum 3 times each year. Therefore, over 5 years, she makes:\n \\[\n 5 \\text{ years} \\times 3 \\text{ visits per year} = 15 \\text{ visits}\n \\]\n\n3. **Cost Calculation for Initial 5 Years:**\n\n The total cost for these 15 visits at $2 per visit is:\n \\[\n 15 \\text{ visits} \\times \\$2/\\text{visit} = \\$30\n \\]\n\n4. **Price Increase Calculation:**\n\n The cost of one visit increases by 150%. This means the new price is:\n \\[\n \\$2 \\times (1 + 1.50) = \\$2 \\times 2.50 = \\$5 \\text{ per visit}\n \\]\n\n5. **Total Visits Over the Next 3 Years:**\n\n Over the next 3 years, Pauline continues to visit the museum 3 times each year, making:\n \\[\n 3 \\text{ years} \\times 3 \\text{ visits per year} = 9 \\text{ visits}\n \\]\n\n6. **Cost Calculation for Next 3 Years:**\n\n The total cost for these 9 visits at $5 per visit is:\n \\[\n 9 \\text{ visits} \\times \\$5/\\text{visit} = \\$45\n \\]\n\n7. **Total Cost Over 8 Years:**\n\n Adding the costs from both periods:\n \\[\n \\$30 \\text{ (initial 5 years)} + \\$45 \\text{ (next 3 years)} = \\$75\n \\]\n\n8. **Conclusion:**\n\n The total amount Pauline spent on all her visits to the museum over the 8-year period is:\n \\[\n \\boxed{\\$75}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nFirst, let's determine the total number of students who will participate in the escape room. Since there are 10 students in each grade from grades 4 to 7, and each grade has 4 grades, the total number of participating students is:\n\n10 students/grade * 4 grades = 40 students\n\nGiven that only 8 students can participate in the escape room at a time, we need to calculate the number of groups needed to accommodate all 40 students.\n\n40 students / 8 students/group = 5 groups\n\nEach group will take 45 minutes to complete the escape room. Therefore, to find the total time required for all students to complete the escape room, we multiply the number of groups by the time per group:\n\n5 groups * 45 minutes/group = 225 minutes\n\nFinally, to convert the total time from minutes to hours, we divide by 60 (since there are 60 minutes in an hour):\n\n225 minutes / 60 minutes/hour = 3.75 hours\n\nSo, it will take 3.75 hours for everyone to try the escape room.\n\nAnswer:\n\n3.75 hours", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "John manufactured 4 wooden tables for $20 each, so the total cost for the tables is 4 * $20 = $80.\n\nJohn also manufactured 2 roof frames for $10 each, so the total cost for the roof frames is 2 * $10 = $20.\n\nTo find out the total amount Ali has to pay John, we add the cost of the tables and the roof frames together: $80 + $20 = $100.\n\nTherefore, Ali has to pay John $\\boxed{\\$100}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote the length of the shorter piece as \\( x \\) feet. According to the problem, the longer piece is 4 times longer than the shorter piece. Therefore, the length of the longer piece can be represented as \\( 4x \\).\n\nThe total length of the board before Ian makes the cut is 40 feet. After making the cut, the sum of the lengths of the two pieces should equal 40 feet. So, we can write the equation:\n\n\\[ x + 4x = 40 \\]\n\nCombining like terms, we get:\n\n\\[ 5x = 40 \\]\n\nTo find the length of the shorter piece (\\( x \\)), we divide both sides of the equation by 5:\n\n\\[ x = \\frac{40}{5} \\]\n\\[ x = 8 \\]\n\nNow that we know the shorter piece is 8 feet long, we can find the length of the longer piece by multiplying the length of the shorter piece by 4:\n\n\\[ \\text{Longer piece} = 4 \\times 8 \\]\n\\[ \\text{Longer piece} = 32 \\]\n\nSo, the longer piece is 32 feet long.\n\nThe answer is $32$ feet.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Aiden wants to make 80 meatballs for the cookout. He gets sixteen meatballs from each pound of meat, so he needs 80/16 = 5 pounds of ground beef.\n\nFor every pound of meat, Aiden uses two tablespoons of his secret seasoning. Therefore, for five pounds of meat, he will need 5 * 2 = 10 tablespoons of the seasoning.\n\nSo, Aiden will need $\\boxed{10}$ tablespoons of his secret steakhouse seasoning for the cookout.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Each window is 35 inches wide, so the total width of all five windows is 5 * 35 = 175 inches.\n\nLuke needs to buy fabric that is equal to 2 times the total width of the windows, so he should buy 2 * 175 = $\\boxed{350}$ inches of fabric.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the cost of a 36-minute call made from a payphone, we need to consider the different rates for the first 16 minutes and the remaining 20 minutes.\n\n1. For the first 16 minutes, the cost is $0.25 per minute. Therefore, the cost for the first 16 minutes is calculated as follows:\n \\[\n 16 \\times 0.25 = \\$4.00\n \\]\n\n2. After the first 16 minutes, the rate drops to $0.20 per minute for the remaining duration of the call. The remaining minutes in the 36-minute call are:\n \\[\n 36 - 16 = 20 \\text{ minutes}\n \\]\n\n3. The cost for these remaining 20 minutes at the new rate is:\n \\[\n 20 \\times 0.20 = \\$4.00\n \\]\n\n4. To find the total cost of the 36-minute call, we add the cost of the first 16 minutes and the cost of the remaining 20 minutes:\n \\[\n \\$4.00 + \\$4.00 = \\$8.00\n \\]\n\nTherefore, the total cost for a 36-minute call made from a payphone, considering the different rates for the first 16 minutes and the subsequent minutes, is $\\boxed{\\$8.00}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Twice the amount of Monday's rain is 2 * 2 = 4 inches.\n\nTuesday's rain is expected to be 1 more inch than twice Monday's rain, which is 4 + 1 = 5 inches.\n\nTherefore, there will be 5 inches of rain on Tuesday.\n\n$5$ inches.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote the number of cupcakes Carly made as C and the number of brownies as B.\n\nFrom the problem, we know that Carly makes 2 less than three times as many brownies as cupcakes. This can be written as:\n\nB = 3C - 2\n\nWe also know that each of the five students gets two treats, so the total number of treats (cupcakes and brownies) is 5 * 2 = 10.\n\nSo, we have the equation:\n\nC + B = 10\n\nSubstituting the expression for B from the first equation into the second equation, we get:\n\nC + (3C - 2) = 10\n\nCombining like terms, we have:\n\n4C - 2 = 10\n\nAdding 2 to both sides, we get:\n\n4C = 12\n\nDividing both sides by 4, we find:\n\nC = 3\n\nTherefore, Carly made 3 cupcakes.\n\nTo check our answer, we can find the number of brownies:\n\nB = 3C - 2\nB = 3 * 3 - 2\nB = 9 - 2\nB = 7\n\nNow we can verify that the total number of treats is 10:\n\nC + B = 3 + 7 = 10\n\nSince the total is 10, our answer is correct. Carly made 3 cupcakes.\n\n4. Carly made 3 cupcakes.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total cost of the basic manicure and pedicure without any discounts:\n\nBasic manicure cost: $35\nPedicure cost: $40\n\nTotal before discount: $35 + $40 = $75\n\nNow, let's calculate the 20% discount:\n\n20% of $75 = 0.20 * $75 = $15\n\nSubtract the discount from the total before discount:\n\n$75 - $15 = $60\n\nNext, let's calculate the cost of the nail art for both hands. Karen wants to add nail art to all her fingers:\n\nNail art cost per nail: $3\nNumber of fingers: 10\n\nTotal nail art cost: $3 * 10 = $30\n\nFinally, let's add the discounted total of the manicure and pedicure to the cost of the nail art to find out how much Karen would pay in all:\n\nDiscounted total cost: $60\nNail art cost: $30\n\nTotal cost for Karen: $60 + $30 = $90\n\nKaren would pay $\\boxed{\\$90}$ in all for the manicure, pedicure, and nail art.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Susan orders 3 magazines that send 12 issues each year, so she receives 3 * 12 = 36 issues from these magazines.\n\nShe also has 1 magazine that sends 6 issues each year.\n\nHer last magazine sends her 4 times the amount of the 6-issue magazine, so it sends her 4 * 6 = 24 issues each year.\n\nTo find the total number of magazines she gets every year, we add the issues from all three magazines:\n\n36 issues (from the first three magazines) + 6 issues (from the second magazine) + 24 issues (from the last magazine) = 66 issues.\n\nSince each issue comes from a magazine, we can say she gets 66 magazines every year.\n\nHowever, this count includes each issue separately, not the individual magazines. Since each magazine has multiple issues, we need to adjust our count to reflect the number of magazines:\n\n- She has 3 magazines sending 12 issues each, so that's 3 magazines.\n- She has 1 magazine sending 6 issues, so that's 1 magazine.\n- She has 1 magazine sending 24 issues, so that's 1 magazine.\n\nAdding these up, she gets 3 + 1 + 1 = $\\boxed{5}$ magazines every year.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Samantha has 12 fewer paintings than Shelley, and Samantha has 27 paintings, then Shelley has 27 + 12 = 39 paintings. \n\nIf Shelley has 8 paintings more than Kim, then Kim has 39 - 8 = 31 paintings. \n\nTherefore, Kim has $\\boxed{31}$ paintings. \n\nThe answer is: 31", "answer": {"result": 31.0}}, "matches": true} +{"solution": {"solution": "\nIn November, the toy was $40.\nIn December, the price increased by 80%, so the new price is $40 + ($40 \\times 0.80) = $40 + $32 = $72.\nIn January, the price decreased by 50%, so the new price is $72 - ($72 \\times 0.50) = $72 - $36 = $36.\nTherefore, the price of the toy after it was discounted in January is $36.\nThe answer is: 36", "answer": {"result": 36.0}}, "matches": true} +{"solution": {"solution": "Charlie has 4 1-hour lessons at his standard rate of $80 per hour, so he will make 4 * $80 = $320 from these lessons.\nHe also has 2 1-hour lessons with a veteran, and he reduces his rate by 25%, so his rate for these lessons is $80 - ($80 * 25%) = $80 - ($80 * 0.25) = $80 - $20 = $60 per hour.\nFor these 2 lessons, he will make 2 * $60 = $120.\nTherefore, the total amount of money Charlie will make for the day is $320 + $120 = $440.\n#### 440\nThe answer is: 440", "answer": {"result": 440.0}}, "matches": true} +{"solution": {"solution": "\nTo find Sally's mean score, we sum all her scores and then divide by the number of quizzes she took.\n\n1. Sum all the scores:\n\\[ 50 + 80 + 80 + 60 + 40 + 90 + 100 + 70 + 60 \\]\n\n2. Calculate the total sum:\n\\[ 50 + 80 + 80 + 60 + 40 + 90 + 100 + 70 + 60 = 630 \\]\n\n3. Count the number of quizzes:\n\\[ 9 \\text{ quizzes} \\]\n\n4. Calculate the mean score:\n\\[ \\text{Mean Score} = \\frac{\\text{Total Sum}}{\\text{Number of Quizzes}} = \\frac{630}{9} = 70 \\]\n\nThus, Sally's mean score is $\\boxed{70}$.The answer is: 70", "answer": {"result": 70.0}}, "matches": true} +{"solution": {"solution": "\nIf Eve is left with 1/4 of the pomelos she originally had, then she has 20 * 1/4 = 5 pomelos remaining.\nEve originally had 20 pomelos, so she gave away 20 - 5 = 15 pomelos.\n#### 15\nThe answer is: 15", "answer": {"result": 15.0}}, "matches": true} +{"solution": {"solution": "\nWalter ate 2/5 of the 60 apples, so he ate 2/5 * 60 = 24 apples.\nThe remaining number of apples after he ate them is 60 - 24 = 36 apples.\nWalter gave his sister 25% of the remaining number, which is 25/100 * 36 = 9 apples.\nSo, he gave his sister 9 apples, leaving him with 36 - 9 = 27 apples.\nHe sold these 27 apples to his uncle at $3 each, so he received 27 * $3 = $81.\n\nTherefore, Walter received $81 from selling the apples to his uncle.\n\n#### 81\nThe answer is: 81", "answer": {"result": 81.0}}, "matches": true} +{"solution": {"solution": "If 9 novels represent 3 quarters of the total number of novels Regina has written this year, we can find the total number of novels by dividing 9 by 3/4. \n\nTo eliminate the fraction, we can multiply both the numerator and the denominator by 4:\n\n9 novels / (3/4) = (9 * 4) / 3\n\nThis simplifies to:\n\n36 / 3 = 12 novels\n\nSo, Regina has written $\\boxed{12}$ novels this year.The answer is: 12", "answer": {"result": 12.0}}, "matches": true} +{"solution": {"solution": "\n1. **Calculate the total distance traveled by Michael in 3 days.**\n - Michael's average speed is 50 km/hr.\n - He travels for 3 days, with each day consisting of 24 hours.\n - Therefore, the total time he travels is:\n \\[\n 3 \\times 24 = 72 \\text{ hours}\n \\]\n - The total distance he covers in 72 hours at 50 km/hr is calculated by:\n \\[\n \\text{Distance} = \\text{Speed} \\times \\text{Time} = 50 \\text{ km/hr} \\times 72 \\text{ hr} = 3600 \\text{ km}\n \\]\n\n2. **Determine the percentage of the total distance covered.**\n - The total distance between Alaska and Texas is given as 6000 km.\n - The distance Michael has covered is 3600 km.\n - The percentage of the total distance covered is calculated by:\n \\[\n \\text{Percentage covered} = \\left( \\frac{\\text{Distance covered}}{\\text{Total distance}} \\right) \\times 100\\%\n \\]\n - Substitute the values into the formula:\n \\[\n \\text{Percentage covered} = \\left( \\frac{3600 \\text{ km}}{6000 \\text{ km}} \\right) \\times 100\\% = \\left( 0.6 \\right) \\times 100\\% = 60\\%\n \\]\n\n### Conclusion:\n\\[\n\\boxed{60\\%}\n\\]\n", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Madeline ate 6 grapes. \n\nHer brother used 5 times as many grapes as Madeline, so he used 5 * 6 = 30 grapes to make a full glass of grape juice. \n\nAfter making the grape juice, the remaining grapes were used to make 4 pies. Each pie requires 12 grapes, so 4 pies would need 4 * 12 = 48 grapes. \n\nTo find the total number of grapes at the beginning, we add the grapes Madeline ate, the grapes used for grape juice, and the grapes used for the pies: \n\n6 (Madeline's grapes) + 30 (grape juice grapes) + 48 (pie grapes) = 84 grapes. \n\nThere were $\\boxed{84}$ grapes at the beginning.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how many teachers were at school that day, we start by adding the number of sick teachers to the number of substitute teachers. This gives us the total number of teachers who were absent or could not teach. \n\n- Number of sick teachers = 13\n- Number of substitute teachers = 9\n\nAdding these together gives us the total number of teachers absent or not teaching:\n\\[13 + 9 = 22\\]\n\nNext, to find out how many teachers were present and able to teach, we subtract this number from the total number of teachers at the school.\n\n- Total number of teachers at the school = 82\n- Total number of teachers absent or not teaching = 22\n\nSubtracting the absent teachers from the total gives us the number of teachers present:\n\\[82 - 22 = 60\\]\n\nTherefore, the number of teachers at school that day was $\\boxed{60}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the weekly cost for Bud's homemade macaroni and cheese, we start by identifying the cost of each ingredient:\n\n1. Pasta: $1.00 per box.\n2. Cheddar cheese: $3.00.\n3. Gruyere cheese: Twice the cost of cheddar cheese, which is $3.00 * 2 = $6.00.\n\nAdding these costs together, the total cost for making macaroni and cheese in one week is:\n\\[1.00 + 3.00 + 6.00 = 10.00\\]\n\nSince Bud makes macaroni and cheese once a week, the annual cost is calculated by multiplying the weekly cost by the number of weeks in a year (52 weeks):\n\\[10.00 \\times 52 = 520.00\\]\n\nTherefore, Bud spends $\\boxed{520.00}$ dollars on making macaroni and cheese in one year.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nFirst, let's calculate the total time it takes to clean all the classrooms. \n\nThere are 80 classrooms, and it takes 15 minutes per classroom. \n\nTotal time = 80 classrooms * 15 minutes/classroom = 1200 minutes.\n\nNow, let's convert this time into hours since the custodian works an 8-hour day. \n\n1200 minutes / 60 minutes/hour = 20 hours.\n\nThe custodian has 5 days to clean all the classrooms, so the total working hours are: \n\n5 days * 8 hours/day = 40 hours.\n\nNow, let's calculate the percentage of the day spent cleaning classrooms. \n\nPercentage = (Time spent cleaning / Total working hours) * 100.\n\nPercentage = (20 hours / 40 hours) * 100 = 50%.\n\nSo, the custodian spends an average of $\\boxed{50\\%}$ of their day cleaning classrooms.\n\nAnswer: 50", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Calculate the number of books the middle shelves can hold:**\n Since each middle shelf can hold 10 books and there are 2 middle shelves, the total number of books these shelves can hold is:\n \\[\n 10 \\text{ books/shelf} \\times 2 \\text{ shelves} = 20 \\text{ books}\n \\]\n\n2. **Determine the capacity of the bottom shelf:**\n The bottom shelf can hold twice as many books as a middle shelf. Therefore, the bottom shelf can hold:\n \\[\n 2 \\times 10 \\text{ books/middle shelf} = 20 \\text{ books}\n \\]\n\n3. **Calculate the capacity of the top shelf:**\n The top shelf can hold 5 fewer books than the bottom shelf. Thus, the top shelf can hold:\n \\[\n 20 \\text{ books/bottom shelf} - 5 \\text{ books} = 15 \\text{ books}\n \\]\n\n4. **Sum the capacities of all shelves:**\n Adding the capacities of the middle shelves, the bottom shelf, and the top shelf:\n \\[\n 20 \\text{ books/middle shelf} \\times 2 \\text{ shelves} + 20 \\text{ books/bottom shelf} + 15 \\text{ books/top shelf} = 40 \\text{ books} + 20 \\text{ books} + 15 \\text{ books} = 75 \\text{ books}\n \\]\n\n5. **Determine the number of bookcases needed:**\n Given that Elly has 110 books, we need to find out how many bookcases are required to hold all the books. Since one bookcase can hold 75 books:\n \\[\n \\frac{110 \\text{ books}}{75 \\text{ books/bookcase}} \\approx 1.4667\n \\]\n Since Elly cannot use a fraction of a bookcase, she needs 2 bookcases to hold all 110 books.\n\n6. **Conclusion:**\n Elly needs 2 bookcases to hold all her books.\n \\[\n \\boxed{2}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nFive dozens of eggs mean 5 x 12 = 60 eggs.\n\nRose bought the eggs for 2.40 x 5 = $12.\n\nShe will sell each egg for $1/3 = $0.33.\n\nSo, her profit for each egg will be $0.33 - $0.0833 = $0.2467.\n\nTherefore, her total profit will be $0.2467 x 60 = $14.802.\n\nSince we're dealing with money, we can round it to two decimal places.\n\nRose's profit will be $14.80.\n\n#### 14.80\nThe answer is: 14.80", "answer": {"result": 14.8}}, "matches": false} +{"solution": {"solution": "Half of the hats are red, so there are 100/2 = 50 red hats.\nThe remaining hats are 100 - 50 = 50 hats.\n3/5 of these remaining hats are blue, so there are 3/5 * 50 = 30 blue hats.\nThe rest of the hats are white, so there are 50 - 30 = 20 white hats.\n\nTherefore, Skyler has 20 white hats.\n\n#### 20\nThe answer is: 20", "answer": {"result": 20.0}}, "matches": true} +{"solution": {"solution": "First, let's calculate the discounted price of the bag of beef jerky. \n\nThe original price of the bag is $18.00, and there is a $3.00 discount. \n\nDiscounted price = Original price - Discount\nDiscounted price = $18.00 - $3.00\nDiscounted price = $15.00\n\nNow, we have 30 sticks of beef jerky in a bag for $15.00. To find the cost per stick, we divide the total cost by the number of sticks.\n\nCost per stick = Total cost / Number of sticks\nCost per stick = $15.00 / 30\nCost per stick = $0.50\n\nSince the question asks for the cost in cents, we convert dollars to cents by multiplying by 100.\n\nCost per stick in cents = $0.50 * 100\nCost per stick in cents = 50 cents\n\nTherefore, each stick of beef jerky will cost $\\boxed{50}$ cents after the discount.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how many questions Audrey needs to get right on the second test, we first need to determine the total number of questions she needs to get right on both tests to pass. \n\nSince she needs to answer 70% of the total questions correctly and there are two tests, we calculate the total number of questions that represent this 70%:\n\n\\[70\\% \\text{ of total questions} = 0.70 \\times (70 + 40)\\]\n\n\\[= 0.70 \\times 110\\]\n\n\\[= 77\\]\n\nThis means Audrey needs to answer 77 questions correctly in total across both tests to pass.\n\nFrom the first test, Audrey answered 60% of the 70 questions correctly, which is:\n\n\\[60\\% \\text{ of 70 questions} = 0.60 \\times 70\\]\n\n\\[= 42\\]\n\nSo, Audrey got 42 questions right on the first test.\n\nTo find out how many questions she needs to get right on the second test to pass, we subtract the number of questions she got right on the first test from the total number of questions she needs to get right across both tests:\n\n\\[77 \\text{ total needed} - 42 \\text{ from first test} = 35\\]\n\nTherefore, Audrey needs to get at least $35$ questions right on the second test to pass.\n\n\\[\\boxed{35}\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let the number of strawberry cubes be $s$. According to the problem, the number of blueberry cubes is $5s - 4$.\n\nSince Mary makes a total of 116 ice cubes, we can set up the following equation:\n\\[ s + (5s - 4) = 116 \\]\n\nCombining like terms, we get:\n\\[ 6s - 4 = 116 \\]\n\nAdding 4 to both sides to isolate the term with $s$, we have:\n\\[ 6s = 120 \\]\n\nDividing both sides by 6 to solve for $s$, we find:\n\\[ s = 20 \\]\n\nNow, substituting $s = 20$ back into the expression for blueberry cubes:\n\\[ 5s - 4 = 5(20) - 4 = 100 - 4 = 96 \\]\n\nThus, Mary makes $\\boxed{96}$ blueberry cubes.The answer is: 96", "answer": {"result": 96.0}}, "matches": true} +{"solution": {"solution": "Ara has been playing 40 games every year for the past four years, so in total, she has played 40 games/year * 4 years = 160 games.\nIf her score for every game is 21 points, then her total score over the four years is 21 points/game * 160 games = 3360 points.\n#### 3360\nThe answer is: 3360", "answer": {"result": 3360.0}}, "matches": true} +{"solution": {"solution": "\nBrendan had 10 marbles initially. He dropped half of them, so he dropped 10/2 = 5 marbles. He managed to pick up 3 of those dropped marbles, so he had 5 - 3 = 2 marbles left unaccounted for. After inspecting the marbles he picked up, he found that one was a bead, not a marble, so he got rid of it. Therefore, he ended up with 3 picked up marbles + 2 unaccounted marbles = 5 marbles. \n$\\boxed{5}$ marbles.\n\nAnswer: 5", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nFor every 25 telephone calls, Jason gets one person to come into the car dealership to look at new cars.\nSo to get 15 people to come into the dealership, Jason would need to make 25 * 15 = 375 telephone calls.\nFor every two customers that come into the dealership, one will buy a car.\nSo out of the 15 people who come into the dealership, Jason would expect 15 / 2 = 7.5 cars to be sold.\nBut since cars can't be sold in half, Jason would need to round up to the nearest whole number.\nSo Jason would need to make 375 telephone calls to sell 15 cars and earn his bonus.\n\nThe answer is: 375", "answer": {"result": 375.0}}, "matches": false} +{"solution": {"solution": "\n\nFor the flashlights, there are 4 people in the family, and each person has a flashlight to carry. Additionally, there are 2 flashlights for each room. Since there are 8 rooms in the house, we calculate the total number of flashlights as follows:\n\n- Flashlights for people: $4$ people \u00d7 $1$ flashlight/person = $4$ flashlights\n- Flashlights for rooms: $8$ rooms \u00d7 $2$ flashlights/room = $16$ flashlights\n\nAdding these together gives us the total number of flashlights:\n\n$$4 + 16 = 20 \\text{ flashlights}$$\n\nFor the candles, we have two types: small and medium. There are 4 small candles for half the rooms and 5 medium candles for the other half. Since there are 8 rooms in total, half of them is 4 rooms.\n\n- Small candles for half the rooms: $4$ rooms \u00d7 $4$ small candles/room = $16$ small candles\n- Medium candles for the other half: $4$ rooms \u00d7 $5$ medium candles/room = $20$ medium candles\n\nAdding the small and medium candles together gives us the total number of candles:\n\n$$16 + 20 = 36 \\text{ candles}$$\n\nFinally, to find the total number of candles and flashlights the family is using, we add the total number of flashlights to the total number of candles:\n\n$$20 \\text{ flashlights} + 36 \\text{ candles} = 56 \\text{ candles and flashlights}$$\n\nTherefore, the family is using $56$ candles and flashlights when the power goes out.\n\nAnswer:\n\n$$56$$", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Mitchell buys two bags of chips, each with 55 chips, so he has a total of 2 * 55 = 110 chips.\nHis family has five members, so if each person gets the same number of chips, they will each get 110 / 5 = 22 chips.\nTherefore, each person gets 22 chips.\n#### 22\nThe answer is: 22", "answer": {"result": 22.0}}, "matches": true} +{"solution": {"solution": "\nTo solve this problem, let's break down the time it takes to solve each side of the Rubik's cube as described:\n\n1. **First Side:**\n - John takes 5 minutes to get to the first side.\n\n2. **Second and Third Sides:**\n - Both the second and third sides take twice as long as the first side.\n - Therefore, for the second side, it takes $5 \\times 2 = 10$ minutes.\n - Similarly, for the third side, it also takes $5 \\times 2 = 10$ minutes.\n\n3. **Fourth and Fifth Sides:**\n - The fourth and fifth sides each take half as long as the first side.\n - For the fourth side, it takes $5 \\div 2 = 2.5$ minutes.\n - For the fifth side, it also takes $5 \\div 2 = 2.5$ minutes.\n\n4. **Total Time:**\n - To find the total time, we add up the time for all sides:\n - $5 + 10 + 10 + 2.5 + 2.5 = 30$ minutes.\n\nTherefore, the total time it takes John to solve the Rubik's cube is $\\boxed{30}$ minutes.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If there were 20 helmets, then there were 20/2 = 10 robots.\nAnd if there were 20 helmets, then there were 20/2 = 10 footballs.\nThe total number of items Dominick saw is 20 helmets + 10 robots + 10 footballs = 40 items.\n#### 40\nThe answer is: 40", "answer": {"result": 40.0}}, "matches": false} +{"solution": {"solution": "Tim spends 6 hours each day at work, which is equal to 6 x 60 = 360 minutes. \n\nIf it takes him 15 minutes to deal with a call, then he can deal with 360 / 15 = 24 calls in one day.\n\nDuring his 5 day work week, he can deal with 24 x 5 = 120 calls.\n\nTherefore, Tim deals with 120 calls during his 5 day work week.\n\n#### 120\nThe answer is: 120", "answer": {"result": 120.0}}, "matches": true} +{"solution": {"solution": "The usual time to dry one painting is 7 minutes, so for 6 paintings, it would take 7 * 6 = 42 minutes.\n\nWith the new varnish, it takes 12 minutes for one painting to dry, so for 6 paintings, it would take 12 * 6 = 72 minutes.\n\nThe difference in time is 72 - 42 = 30 minutes.\n\nTherefore, it will take 30 minutes longer for the coat of varnish on 6 paintings with the new varnish to dry compared to the old varnish.\n\nThe final answer is $\\boxed{30}$ minutes.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the total amount of water Crista needs for her plants every day, we break it down into three groups based on water requirements:\n\n1. **Plants needing half a cup of water:**\n - There are 4 plants that need half a cup of water each.\n - Total water needed for these plants = $4 \\times \\frac{1}{2} = 2$ cups.\n\n2. **Plants needing one cup of water:**\n - There are 8 plants that need one cup of water each.\n - Total water needed for these plants = $8 \\times 1 = 8$ cups.\n\n3. **Plants needing a quarter of a cup of water:**\n - The remaining plants, which total $20 - 4 - 8 = 8$, each need a quarter of a cup of water.\n - Total water needed for these plants = $8 \\times \\frac{1}{4} = 2$ cups.\n\nFinally, we add the water requirements from all three groups to find the total amount of water needed every day:\n\n- Total water needed = $2 + 8 + 2 = 12$ cups.\n\nTherefore, Crista needs $\\boxed{12}$ cups of water every day for her plants.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Phineas needs to travel 200 yards to return home. \nIf half of the distance is on land, then Phineas needs to hop 100 yards on land. \nAt a speed of 20 yards per minute, it will take him 100/20 = 5 minutes to hop on land. \nThe other half of the distance is in water, so Phineas needs to swim 100 yards in water. \nAt a speed of 10 yards per minute, it will take him 100/10 = 10 minutes to swim in water. \nTherefore, it will take Phineas a total of 5 + 10 = 15 minutes to return home. \n#### 15\nThe answer is: 15", "answer": {"result": 15.0}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's break it down step by step:\n\n1. First, we need to determine how many boxes of popsicles Bob needs. Since each box contains 8 popsicle sticks and Bob needs 56 sticks, we calculate the number of boxes required as follows:\n\\[ \\frac{56 \\text{ sticks}}{8 \\text{ sticks per box}} = 7 \\text{ boxes} \\]\n\n2. Next, we calculate the total cost by multiplying the number of boxes by the cost per box:\n\\[ 7 \\text{ boxes} \\times \\$2.00/\\text{box} = \\$14.00 \\]\n\nTherefore, the total cost for Bob to build his project is $\\$14.00$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's denote the cost of the additional phones as x. According to the problem, the main phone costs twice as much as each additional phone, so the main phone costs 2x. \n\nThe total cost of the phone plan is the sum of the cost of the main phone and the cost of the additional phones. We have:\n\nTotal cost = Cost of main phone + Cost of additional phones\nTotal cost = 2x + 4x (since there are 4 additional phones)\n\nWe know the total cost of the plan is $20, so:\n\n20 = 2x + 4x\n20 = 6x\n\nNow, we solve for x:\n\nx = 20 / 6\nx = 10 / 3\nx = 3.33 (rounded to two decimal places)\n\nNow that we have the cost of the additional phones, we can find the cost of the main phone:\n\nCost of main phone = 2x = 2 * 3.33 = 6.67\n\nFinally, we calculate the total cost of the phone plan:\n\nTotal cost = Cost of main phone + Cost of additional phones\nTotal cost = 6.67 + 4 * 3.33\nTotal cost = 6.67 + 13.32\nTotal cost = 20\n\nThe whole phone plan costs $\\boxed{\\$20,}$ which is consistent with the given information.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate how many doughnuts Derrick makes in a day. Since 1 dozen equals 12, 10 dozen would be:\n\\[10 \\times 12 = 120 \\text{ doughnuts}\\]\n\nNext, we need to find out how much money Derrick makes from selling these doughnuts. Each doughnut is sold at $2, so the total daily revenue from doughnuts is:\n\\[120 \\times 2 = \\$240\\]\n\nNow, we need to calculate the total revenue for the entire month of June, which has 30 days. Therefore, the total revenue for June is:\n\\[240 \\times 30 = \\$7200\\]\n\nThus, Derrick makes $\\boxed{\\$7200}$ from selling doughnuts in June.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Jade wants to upload 210 photos in total. She uploads 7 photos in one batch, and she uploads 6 batches each day. To find out how many days she will need to upload all her photos, we first calculate the number of photos she uploads each day:\n\n7 photos/batch * 6 batches/day = 42 photos/day\n\nNow, we divide the total number of photos by the number of photos she uploads each day to find out how many days it will take:\n\n210 photos / 42 photos/day = 5 days\n\nJade will need $\\boxed{5}$ days to upload all of her photos.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate the total cost of dry-cleaning for Alicia's clothes over 5 weeks, we break down the cost based on the type of clothing item and the number of each item Alicia brings for cleaning.\n\n1. **Calculating the cost for blouses**:\n - Alicia has 5 blouses, and the dry cleaner charges $5.00 per blouse.\n - Therefore, the total cost for blouses is $5.00 \\times 5 = $25.00$ per week.\n\n2. **Calculating the cost for pants**:\n - Alicia has 2 pairs of pants, and the dry cleaner charges $8.00 per pair.\n - Therefore, the total cost for pants is $8.00 \\times 2 = $16.00$ per week.\n\n3. **Calculating the cost for the skirt**:\n - Alicia has 1 skirt, and the dry cleaner charges $6.00 per skirt.\n - Therefore, the total cost for the skirt is $6.00 \\times 1 = $6.00$ per week.\n\n4. **Calculating the total weekly cost**:\n - The total weekly cost for Alicia's dry-cleaning is the sum of the costs for blouses, pants, and the skirt.\n - Therefore, the total weekly cost is $25.00 + $16.00 + $6.00 = $47.00$.\n\n5. **Calculating the total cost over 5 weeks**:\n - Since Alicia's weekly dry-cleaning cost is $47.00, over 5 weeks, the total cost will be $47.00 \\times 5 = $235.00$.\n\nTherefore, the total amount Alicia spends on dry-cleaning in 5 weeks is $\\boxed{235.00}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "John's normally speaking speed is 150 WPM (words per minute).\nAfter training, his speaking speed is 2.5 times faster than his starting speed, so it's 150 * 2.5 = 375 WPM.\n\nTo find out how long it would take him to speak 10 pages, we first need to calculate the total number of words in 10 pages. Each page has 450 words, so:\n\n10 pages * 450 words/page = 4500 words\n\nNow, we need to find out how many minutes it would take John to speak 4500 words at a speed of 375 WPM. We can use the formula:\n\nTime (in minutes) = Total words / Speaking speed\n\nTime = 4500 words / 375 WPM = 12 minutes\n\nSo, it would take John $\\boxed{12}$ minutes to speak 10 pages at his faster speaking speed.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's calculate the number of people Conor saw at the beach each day and then sum them up for the week.\n\n- On the first day, Conor saw 50 people.\n- On the second day, there were 20 more people than the first day, which means:\n \\[\n 50 + 20 = 70 \\text{ people}\n \\]\n- On the third day, the number of people was twice the number on the second day, which means:\n \\[\n 70 \\times 2 = 140 \\text{ people}\n \\]\n\nFor the rest of the week, Conor saw an average of 60 people each day. There are 7 days in a week, so the total number of people seen over the remaining days is:\n \\[\n 60 \\times 5 = 300 \\text{ people}\n \\]\n\nAdding the totals for each day gives the overall total number of people Conor saw at the beach during the week:\n \\[\n 50 + 70 + 140 + 300 = 560 \\text{ people}\n \\]\n\nThus, the total number of people Conor saw at the beach that week is $\\boxed{560}$.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Determine the popping rate**:\n - First 30 seconds: 20 pieces.\n - Next 30 seconds: 3 times the previous, so \\(3 \\times 20 = 60\\) pieces.\n - Next 30 seconds: 4 times the previous, so \\(4 \\times 60 = 240\\) pieces.\n - Final 30 seconds: half the previous rate, so \\(0.5 \\times 240 = 120\\) pieces.\n\n2. **Calculate total popped pieces**:\n \\[\n 20 + 60 + 240 + 120 = 440 \\text{ pieces}\n \\]\n\n3. **Calculate additional popping from residual heat**:\n - A quarter of the final 30 seconds popping, so \\(0.25 \\times 120 = 30\\) pieces.\n\n4. **Total number of popped kernels**:\n \\[\n 440 + 30 = 470 \\text{ pieces}\n \\]\n\nThus, Garrett has to eat $\\boxed{470}$ pieces of popcorn.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "For 1 gallon of lemonade, Tim needs 1 cup of fresh lemon juice.\nSince 6 lemons yield 1 cup of juice, Tim will need 6 lemons x 1 gallon = 6 lemons for 1 gallon of lemonade.\nTo make 4 gallons of lemonade, Tim will need 6 lemons x 4 gallons = 24 lemons.\nAllen wants an extra gallon of lemonade that is twice as tart, so Tim will need to double the amount of lemon juice.\nFor 1 gallon of lemonade, Tim needs 1 cup of lemon juice, so for 2 gallons of lemonade, he will need 1 cup x 2 = 2 cups of lemon juice.\nTo get 2 cups of lemon juice, Tim will need 6 lemons x 2 cups = 12 lemons.\nIn total, Tim will need 24 lemons + 12 lemons = 36 lemons.\n#### 36\nThe answer is: 36", "answer": {"result": 36.0}}, "matches": true} +{"solution": {"solution": "There are 3 German Shepherds, and each consumes 5 kilograms of dog food per day, so they consume a total of 3 * 5 = 15 kilograms of dog food per day.\nThere are 2 Bulldogs, and each consumes 3 kilograms of dog food per day, so they consume a total of 2 * 3 = 6 kilograms of dog food per day.\nIn total, all the dogs consume 15 + 6 = 21 kilograms of dog food per day.\nIn a week, which has 7 days, the dogs will consume 21 * 7 = 147 kilograms of dog food.\n#### 147\nThe answer is: 147", "answer": {"result": 147.0}}, "matches": true} +{"solution": {"solution": "Each 2-legged animal contributes 2 legs, so 10 2-legged animals contribute 10 * 2 = 20 legs.\nEach 4-legged animal contributes 4 legs, so 15 4-legged animals contribute 15 * 4 = 60 legs.\nIn total, there are 20 + 60 = 80 animal legs on the farm.\nSince each pair of legs belongs to one animal, there are 80/2 = 40 pairs of animal legs.\n#### 40\nThe answer is: 40", "answer": {"result": 40.0}}, "matches": true} +{"solution": {"solution": "Let's denote the number of red blocks as R. According to the problem, there are twice as many yellow blocks as blue blocks. \n\nThe total number of blocks is given as 32.\n\nThe number of blue blocks is 4.\n\nThe number of yellow blocks is twice the number of blue blocks, so that's 2 * 4 = 8 yellow blocks.\n\nNow, we can set up an equation to find the number of red blocks:\n\nNumber of blue blocks + Number of yellow blocks + Number of red blocks = Total number of blocks\n\n4 + 8 + R = 32\n\nCombining the known quantities:\n\n12 + R = 32\n\nNow, we solve for R:\n\nR = 32 - 12\n\nR = 20\n\nSo, there are $\\boxed{20}$ red blocks in the tower.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nTo find out how far Elvis is from his house, we need to calculate the total distance traveled during both parts of the journey. \n\nFirst, let's calculate the distance traveled during the westward journey. \n\nDistance = Speed \u00d7 Time\n\nFor the westward journey:\nSpeed = 18 mph\nTime = 5 hours\n\nDistance westward = 18 mph \u00d7 5 hours = 90 miles\n\nNext, let's calculate the distance traveled during the eastward journey.\n\nFor the eastward journey:\nSpeed = 18 mph (the same as the westward journey)\nTime = 8 hours\n\nDistance eastward = 18 mph \u00d7 8 hours = 144 miles\n\nNow, let's find out how far Elvis is from his house. Since he traveled east for 144 miles after traveling west for 90 miles, we need to subtract the westward distance from the eastward distance to find his net displacement from his starting point.\n\nNet displacement = Distance eastward - Distance westward\n\nNet displacement = 144 miles - 90 miles = 54 miles\n\nElvis is now $\\boxed{54}$ miles west of his house.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the depreciation amount each year, we multiply the current value of the boat by the depreciation percentage. \n\nFirst year depreciation:\n$9000 * 30% = $9000 * 0.30 = $2700\n\nAfter the first year, the value of the boat is:\n$9000 - $2700 = $6300\n\nSecond year depreciation:\n$6300 * 30% = $6300 * 0.30 = $1890\n\nAfter the second year, the value of the boat is:\n$6300 - $1890 = $4410\n\nThird year depreciation:\n$4410 * 20% = $4410 * 0.20 = $882\n\nAfter the third year, the value of the boat is:\n$4410 - $882 = $3528\n\nSo, the boat is worth $3528 after the three years. \n\n#### 3528\nThe answer is: 3528", "answer": {"result": 3528.0}}, "matches": true} +{"solution": {"solution": "If there are 54 red candies, then there are 2 * 54 = 108 orange candies. \n\nHalf as many yellow candies as red candies means there are 54 / 2 = 27 yellow candies. \n\nSo far, we have accounted for 54 red + 108 orange + 27 yellow = 189 candies. \n\nSince the bag has 232 candies in total, the remaining candies must be pink. \n\nTherefore, there are 232 - 189 = 43 pink candies. \n\n#### 43\nThe answer is: 43", "answer": {"result": 43.0}}, "matches": true} +{"solution": {"solution": "\nOne night at the hotel cost $80, so for 3 nights, she paid 3 * $80 = $240 for the hotel.\n\nEach bus trip cost 10% of the price of one night at the hotel, so each bus trip cost 10/100 * $80 = $8.\n\nHelen rode the bus 7 times, so she paid 7 * $8 = $56 for bus travels.\n\nIn total, Helen paid $240 for the hotel + $56 for bus travels = $296 during that trip.\n\n#### 296\nThe answer is: 296", "answer": {"result": 296.0}}, "matches": true} +{"solution": {"solution": "Mazie initially has 52 marbles. \nDallas has 21 marbles after dropping 4 in the playground, so he originally had 21 + 4 = 25 marbles. \nSince Dallas and Darla received marbles from Mazie together, and Dallas has 25 marbles, Darla must have 52 - 25 = 27 marbles. \nTherefore, Mazie gave 27 marbles to Darla. \n#### 27\nThe answer is: 27", "answer": {"result": 27.0}}, "matches": true} +{"solution": {"solution": "The cost of an adult ticket is $12, so the parents will pay 2 adult tickets x $12 = $24.\nThe cost of a child ticket is $8, so the child will pay 1 child ticket x $8 = $8.\nThey buy 2 popcorns for $3 each, so they will pay 2 popcorns x $3 = $6.\nIn total, they will pay $24 + $8 + $6 = $38.\n#### 38\nThe answer is: 38", "answer": {"result": 38.0}}, "matches": true} +{"solution": {"solution": "1. **Calculate the total weight of the car and its contents**:\n\n The car weighs 1200 pounds.\n\n The luggage weighs 250 pounds.\n\n The two children weigh 75 pounds each, so their combined weight is:\n \\[\n 2 \\times 75 = 150 \\text{ pounds}\n \\]\n\n Adding these weights together gives the total weight of the car and its contents:\n \\[\n 1200 + 250 + 150 = 1600 \\text{ pounds}\n \\]\n\n2. **Determine the force required to move the car**:\n\n The force required is 1% of the total weight of the car and its contents. Therefore, the force required is:\n \\[\n 0.01 \\times 1600 = 16 \\text{ pounds of force}\n \\]\n\n3. **Conclusion**:\n\n The force John needs to push the car is:\n \\[\n \\boxed{16}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the total amount of crepe paper James needs, we need to calculate the perimeter of the rectangle, as he will be hanging streamers along the entire length of the fence.\n\nThe formula for the perimeter (P) of a rectangle is:\n\\[ P = 2 \\times \\text{length} + 2 \\times \\text{width} \\]\n\nGiven the length (L) is 20 feet and the width (W) is 15 feet, we can substitute these values into the formula:\n\\[ P = 2 \\times 20 + 2 \\times 15 \\]\n\\[ P = 40 + 30 \\]\n\\[ P = 70 \\]\n\nTherefore, James needs to buy 70 feet of crepe paper to hang around his backyard fence.\n\n\\[ \\boxed{70} \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the average of Mia and Emma's ages, we first need to determine Emma's age. Since Mia is 40 years old and there is a 16-year age difference between them, we can calculate Emma's age as follows:\n\nEmma's age = Mia's age + 16\nEmma's age = 40 + 16\nEmma's age = 56\n\nNow that we know both Mia's and Emma's ages, we can calculate their average by summing their ages and dividing by 2:\n\nAverage age = (Mia's age + Emma's age) / 2\nAverage age = (40 + 56) / 2\nAverage age = 96 / 2\nAverage age = 48\n\nTherefore, the average age of Mia and Emma is $48$ years.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Tom, Nancy, and Benny found a total of 214 + 432 + 86 = 732 seashells.\nAfter discovering that 67 were cracked, they had 732 - 67 = 665 good seashells.\n#### 665\nThe answer is: 665", "answer": {"result": 665.0}}, "matches": true} +{"solution": {"solution": "To calculate the total cost of the place settings for Avery's holiday dinner, we need to consider the cost of each component of the place setting: dinner plate, salad plate, and bowl.\n\n1. **Cost of Dinner Plates:**\n Each dinner plate costs $6.00, and Avery needs 12 dinner plates for 12 people.\n \\[\n 12 \\times 6 = 72 \\text{ dollars}\n \\]\n\n2. **Cost of Bowls:**\n Each bowl costs $5.00, and Avery needs 12 bowls for 12 people.\n \\[\n 12 \\times 5 = 60 \\text{ dollars}\n \\]\n\n3. **Cost of Salad Plates:**\n Each salad plate costs $4.00, and Avery needs 12 salad plates for 12 people.\n \\[\n 12 \\times 4 = 48 \\text{ dollars}\n \\]\n\n4. **Total Cost of Place Settings:**\n To find the total cost, we add the costs of the dinner plates, bowls, and salad plates.\n \\[\n 72 + 60 + 48 = 180 \\text{ dollars}\n \\]\n\nTherefore, the total amount Avery will spend on place settings for her holiday dinner is $\\boxed{180}$ dollars.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, we determine the time Anna took to complete the puzzle. Given that Steve took 10 hours, we need to find half of Steve's time and then add 2 hours. \n\n1. Calculate half of Steve's time:\n\\[ \\frac{1}{2} \\times 10 = 5 \\, \\text{hours} \\]\n\n2. Add the extra 2 hours to find Anna's total time:\n\\[ 5 + 2 = 7 \\, \\text{hours} \\]\n\nTherefore, Anna took $\\boxed{7}$ hours to complete the puzzle.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Each pig eats 4 pounds of feed twice a day, so each pig eats a total of 4 x 2 = 8 pounds of feed per day.\nSince Dexter has 5 pigs, the total amount of feed they eat per day is 8 x 5 = 40 pounds.\nIn a week, which consists of 7 days, the pigs will eat a total of 40 x 7 = 280 pounds of feed.\nIf Dexter ordered 300 pounds of feed, then after a week, there will be 300 - 280 = 20 pounds of feed left.\n#### 20\nThe answer is: 20", "answer": {"result": 20.0}}, "matches": true} +{"solution": {"solution": "First, we need to calculate how many hot dogs John's guests will eat. Since each guest will eat 2 hot dogs and there are 20 guests, the total number of hot dogs needed is:\n\n20 guests * 2 hot dogs/guest = 40 hot dogs\n\nNext, we add the 4 hot dogs John already has, so the total number of hot dogs needed is:\n\n40 hot dogs + 4 hot dogs = 44 hot dogs\n\nNow, we need to find out how many packs of hot dogs John needs to buy. Each pack contains 6 hot dogs, so the number of packs needed is:\n\n44 hot dogs / 6 hot dogs/pack = 7.333...\n\nSince John can't buy a fraction of a pack, he will need to buy 8 packs (rounding up to the nearest whole number).\n\nThe cost of each pack is $2, so the total cost for 8 packs is:\n\n8 packs * $2/pack = $16\n\nJohn needs to spend $\\boxed{\\$16}$ on hot dogs.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Frances sells 20 cupcakes for $2 each, so she earns 20 * $2 = $40 from the cupcakes.\n\nShe also sells 40 cookies at $1 each, so she earns 40 * $1 = $40 from the cookies.\n\nIn total, Frances earns $40 (from cupcakes) + $40 (from cookies) = $80.\n\nFrances buys five trays at $4 each, so she spends 5 * $4 = $20 on trays.\n\nTo find out how much money Frances has left, we subtract the cost of the trays from her total earnings:\n\n$80 (total earnings) - $20 (cost of trays) = $60.\n\nFrances has $\\boxed{\\$60}$ left.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Initial number of children**: The problem states that initially, there are 5 children chasing the ice cream truck.\n\n2. **First street**: At the end of the first street, the number of children remains 5.\n\n3. **Second street**: On the second street, each child is joined by another child. Therefore, the number of children doubles:\n \\[\n 5 \\times 2 = 10\n \\]\n So, at the end of the second street, there are 10 children chasing the truck.\n\n4. **Third street**: On the third street, each child in the group is joined by another 2 children. This process involves doubling the number of children again:\n \\[\n 10 \\times 2 = 20\n \\]\n Hence, at the end of the third street, there are 20 children chasing the truck.\n\n5. **Conclusion**: After the third street, the original 5 children give up and leave the group, leaving the 20 children still pursuing the truck.\n\n\\[\n\\boxed{20}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how many meals Mamou has left to distribute, we need to subtract the number of meals she has already given out from the total number of meals she intended to distribute.\n\nMamou gave out 64 meals on Friday, 30 meals on Saturday, and 48 meals on Sunday. \n\nFirst, we add up the meals she gave out over the weekend:\n64 (Friday) + 30 (Saturday) + 48 (Sunday) = 142 meals.\n\nNow, we subtract this number from the total number of meals she intended to distribute:\n1,360 (total meals) - 142 (meals given out) = 1,218 meals.\n\nMamou has $\\boxed{1,218}$ meals left to distribute.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how much money James has in cents, we need to calculate the value of each type of coin he found and then sum them up.\n\n1. The value of a quarter (25 cents).\n2. The value of two nickels (each 5 cents, so 2 * 5 = 10 cents).\n3. The value of seven dimes (each 10 cents, so 7 * 10 = 70 cents).\n\nNow, we add these amounts together:\n\n25 cents (from the quarter) + 10 cents (from the nickels) + 70 cents (from the dimes) = 105 cents.\n\nJames has a total of $105$ cents.\n\n[Answer: 105]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n1. **Identify the ages of the siblings:**\n - There are 3 sisters, each with an age of 16 years.\n - There are 2 brothers, with one brother being 12 years old.\n - The older brother is twice the age of the 12-year-old brother. Thus, the older brother\u2019s age is:\n \\[\n 2 \\times 12 = 24 \\text{ years}\n \\]\n\n2. **Calculate the total age of the sisters:**\n - Each of the 3 sisters is 16 years old.\n - Therefore, the total age of the sisters is:\n \\[\n 3 \\times 16 = 48 \\text{ years}\n \\]\n\n3. **Calculate the total age of the brothers:**\n - The 12-year-old brother.\n - The older brother is 24 years old.\n - Therefore, the total age of the brothers is:\n \\[\n 12 + 24 = 36 \\text{ years}\n \\]\n\n4. **Sum the ages of all siblings:**\n - The total age of the sisters: 48 years\n - The total age of the brothers: 36 years\n - Adding these two sums gives the total age of all siblings:\n \\[\n 48 + 36 = 84 \\text{ years}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{84}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Charisma meditates for 15 minutes every day when she first wakes up and before she goes to sleep. That's 15 minutes x 2 = 30 minutes per day spent on meditation.\n\nIn a week, there are 7 days, so she spends 30 minutes x 7 days = 210 minutes on meditation in a week.\n\nShe also practices yoga for 1 hour, which is 60 minutes, 5 days a week. That's 60 minutes x 5 days = 300 minutes per week spent on yoga.\n\nIn 4 weeks, the total time spent on meditation is 210 minutes/week x 4 weeks = 840 minutes.\n\nThe total time spent on yoga in 4 weeks is 300 minutes/week x 4 weeks = 1200 minutes.\n\nTherefore, the total time Charisma spends on meditation and yoga in 4 weeks is 840 minutes + 1200 minutes = $\\boxed{2040}$ minutes.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the total square feet of fabric used in the quilt, we need to calculate the area of each type of t-shirt and then sum them up.\n\nFor small t-shirts:\n11 small t-shirts * 3 square feet per small t-shirt = 33 square feet\n\nFor medium t-shirts:\n8 medium t-shirts * 4 square feet per medium t-shirt = 32 square feet\n\nFor large t-shirts:\n6 large t-shirts * 6 square feet per large t-shirt = 36 square feet\n\nNow, we add up the areas of all the t-shirts to find the total square feet of fabric used in the quilt:\n\n33 square feet (small) + 32 square feet (medium) + 36 square feet (large) = 101 square feet\n\nThe quilt will be made from a total of $\\boxed{101}$ square feet of fabric.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "A small sunflower has 3 dozen seeds, which is equal to 3 x 12 = 36 seeds. \n\nA large sunflower has 50% more seeds than a small sunflower, which means it has 36 x 0.5 = 18 more seeds. \n\nSo, a large sunflower has 36 + 18 = 54 seeds. \n\nAltogether, there are 36 + 54 = 90 sunflower seeds. \n\n#### 90\nThe answer is: 90", "answer": {"result": 90.0}}, "matches": true} +{"solution": {"solution": "To solve the problem, we follow the relationships given between the number of pens each person owns:\n\n1. George has 18 pens.\n2. Timothy has three times the number of pens as George. Therefore, Timothy's pens can be calculated as:\n \\[\n \\text{Timothy's pens} = 3 \\times \\text{George's pens} = 3 \\times 18 = 54 \\text{ pens}\n \\]\n3. Sarah has half as many pens as Timothy. Thus, Sarah's pens are:\n \\[\n \\text{Sarah's pens} = \\frac{1}{2} \\times \\text{Timothy's pens} = \\frac{1}{2} \\times 54 = 27 \\text{ pens}\n \\]\n\nTherefore, Sarah has $\\boxed{27}$ pens.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If Albert is 36\" tall, then Anne, who is twice the size of Albert, is 2 * 36\" = 72\" tall.\n\nSince Jackie is now 2\" shorter than Anne, Jackie's current height is 72\" - 2\" = 70\" tall.\n\nJackie grew 3\" over the summer, so her height before summer was 70\" - 3\" = $\\boxed{67\"}$ tall.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Determine the daily production of chocolate bars**: The company produces 5000 bars per day.\n \n2. **Calculate the daily revenue**: Each bar is sold for $2. Hence, the daily revenue ($R_{\\text{daily}}$) is:\n \\[\n R_{\\text{daily}} = 5000 \\times 2 = 10000 \\text{ dollars}\n \\]\n\n3. **Calculate the total revenue over two weeks**: There are 14 days in two weeks. Therefore, the total revenue ($R_{\\text{total}}$) over this period is:\n \\[\n R_{\\text{total}} = 10000 \\times 14 = 140000 \\text{ dollars}\n \\]\n\n4. **Conclusion**: The company will receive:\n \\[\n \\boxed{140000 \\text{ dollars}}\n \\]\n\n---\n\n1. **Determine the daily production of chocolate bars**: The company produces 3000 bars per day.\n\n2. **Calculate the daily revenue**: Each bar is sold for $3. Hence, the daily revenue ($R_{\\text{daily}}$) is:\n \\[\n R_{\\text{daily}} = 3000 \\times 3 = 9000 \\text{ dollars}\n \\]\n\n3. **Calculate the total revenue over two weeks**: There are 14 days in two weeks. Therefore, the total revenue ($R_{\\text{total}}$) over this period is:\n \\[\n R_{\\text{total}} = 9000 \\times 14 = 126000 \\text{ dollars}\n \\]\n\n4. **Conclusion**: The company will receive:\n \\[\n \\boxed{126000 \\text{ dollars}}\n \\]\n\n---\n\n1. **Determine the daily production of chocolate bars**: The company produces 1300 bars per day.\n\n2. **Calculate the daily revenue**: Each bar is sold for $5. Hence, the daily revenue ($R_{\\text{daily}}$) is:\n \\[\n R_{\\text{daily}} = 1300 \\times 5 = 6500 \\text{ dollars}\n \\]\n\n3. **Calculate the total revenue over two weeks**: There are 14 days in two weeks. Therefore, the total revenue ($R_{\\text{total}}$) over this period is:\n \\[\n R_{\\text{total}} = 6500 \\times 14 = 91000 \\text{ dollars}\n \\]\n\n4. **Conclusion**: The company will receive:\n \\[\n \\boxed{91000 \\text{ dollars}}\n \\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\n\nJake buys 2 T-shirts, and with the buy one get one 50% off deal, the first T-shirt costs $8 and the second T-shirt is 50% off. \n\n50% of $8 is $4, so the second T-shirt costs $8 - $4 = $4.\n\nThe total cost for the T-shirts is $8 + $4 = $12.\n\nNext, Jake buys a pair of shoes that is 40% off the original price. \n\n40% of $40 is $16, so the shoes cost $40 - $16 = $24.\n\nThe total amount of money Jake spends at the store is $12 for the T-shirts + $24 for the shoes = $36.\n\nAnswer:\n\n$36\n\n$36", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total amount of money Ryan has from his allowance. \n\nHe earns $6 each week for 3 weeks, so:\n$6/week * 3 weeks = $18\n\nNext, let's find out how much money he spent on ice cream cones. \n\nHe bought ice cream for himself and 3 friends, so that's a total of 4 cones at $1.25 each:\n4 cones * $1.25/cone = $5\n\nNow, let's subtract the amount he spent on ice cream from his total allowance to find out how much money he has left for the movies.\n\n$18 - $5 = $13\n\nFinally, let's calculate how many movie tickets Ryan can buy with the remaining $13. \n\nEach movie ticket costs $6.50, so we divide the total amount he has by the cost of each ticket:\n\n$13 / $6.50/ticket = 2 tickets\n\nRyan can buy $\\boxed{2}$ movie tickets with the money he has left.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Ellen spent $100 for leggings and $5 for a photo frame, so she spent a total of $100 + $5 = $105.\n\nLani spent $30 for sunglasses and $100 for each of the two bathrobes, so she spent $30 + ($100 * 2) = $30 + $200 = $230.\n\nTogether, Ellen and Lani spent $105 + $230 = $335 in all.\n\nThe final answer is $\\$335$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate Tim's profit from selling 10 jars of his special honey and jam mix, we follow these steps:\n\n1. **Calculate the total cost of ingredients per jar:**\n - Passion fruit cost: $6/pound * 2 pounds = $12\n - Jackfruit cost: $8/pound * 1.5 pounds = $12\n - Honey cost: $10/pound * 2 pounds = $20\n - Total cost per jar = $12 (passion fruit) + $12 (jackfruit) + $20 (honey) = $44\n\n2. **Calculate the total revenue from selling 10 jars:**\n - Revenue per jar = $50\n - Total revenue for 10 jars = $50 * 10 = $500\n\n3. **Calculate the total profit:**\n - Profit per jar = Revenue per jar - Cost per jar = $50 - $44 = $6\n - Total profit for 10 jars = $6 * 10 = $60\n\nTherefore, Tim makes a profit of $\\boxed{60}$ dollars from selling 10 jars of his special honey and jam mix.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the total dollar amount in the jar, we need to first convert each type of coin into dollars and then sum them up.\n\n1. Quarters: There are 32 quarters, and each quarter is worth $0.25. So, the total value in dollars for quarters is 32 * $0.25 = $8.00.\n\n2. Dimes: There are 95 dimes, and each dime is worth $0.10. So, the total value in dollars for dimes is 95 * $0.10 = $9.50.\n\n3. Nickels: There are 120 nickels, and each nickel is worth $0.05. So, the total value in dollars for nickels is 120 * $0.05 = $6.00.\n\n4. Pennies: There are 750 pennies, and each penny is worth $0.01. So, the total value in dollars for pennies is 750 * $0.01 = $7.50.\n\nNow, we add up the values for each type of coin:\n\nTotal value = Value of quarters + Value of dimes + Value of nickels + Value of pennies\nTotal value = $8.00 + $9.50 + $6.00 + $7.50\nTotal value = $31.00\n\nTherefore, the total dollar amount in the jar is $\\$31.00$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To calculate how much money Janet has left after her mall purchases, we follow these steps:\n\n1. Calculate the total cost of the movie tickets. Since each ticket costs $7.50 and she bought two tickets (for herself and her sister), the total cost for tickets is:\n\\[7.50 \\times 2 = \\$15.\\]\n\n2. Add the cost of the ice cream and the bracelet to the total cost of the movie tickets to find the total amount spent:\n\\[15 + 3.50 + 8.50 = \\$27.\\]\n\n3. Finally, subtract the total amount spent from the money Janet's parents gave her to find out how much she has left:\n\\[40 - 27 = \\$13.\\]\n\nTherefore, Janet has $\\boxed{\\$13}$ left.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nJosh works 7 - 2 = 5 days a week.\n\nSo he works 5 days/week * 2 weeks = 10 days.\n\nJosh services 3 cars/day * 10 days = 30 cars.\n\nHe makes 30 cars * $4/car = $120.\n\nThe answer is 120", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's calculate the total number of cookies Randy has after each action:\n\n1. Randy starts with:\n - 9 oatmeal cookies\n - 4 chocolate chip cookies\n - 5 sugar cookies\n\n2. Randy eats 3 cookies for an early day snack, one of each flavor:\n - 9 - 1 (oatmeal) = 8 oatmeal cookies remaining\n - 4 - 1 (chocolate chip) = 3 chocolate chip cookies remaining\n - 5 - 1 (sugar) = 4 sugar cookies remaining\n\n3. Randy eats 2 oatmeal cookies for lunch:\n - 8 - 2 (oatmeal) = 6 oatmeal cookies remaining\n\n4. Randy gives 2 sugar cookies to his friends:\n - 4 - 2 (sugar) = 2 sugar cookies remaining\n\n5. Randy bakes 4 of each flavor for dinner:\n - 6 oatmeal cookies + 4 baked oatmeal cookies = 10 oatmeal cookies\n - 3 chocolate chip cookies + 4 baked chocolate chip cookies = 7 chocolate chip cookies\n - 2 sugar cookies + 4 baked sugar cookies = 6 sugar cookies\n\nNow, let's add up the total number of cookies Randy has after baking:\n\n- Oatmeal cookies: 10\n- Chocolate chip cookies: 7\n- Sugar cookies: 6\n\nTotal cookies = 10 + 7 + 6 = 23 cookies\n\nRandy now has $\\boxed{23}$ cookies in total.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nMatthew has a collection of 12 unique toy soldiers.\nHe wants to sell them for a fair price.\nHe found a buyer who is willing to pay for half his collection $5 per toy, and for the other half $7 per toy.\nTo find out how much money Matthew would earn, we need to calculate the total cost for each half of the collection.\n\nFor half of the collection (6 toy soldiers), the buyer would pay $5 per toy.\nSo, the total cost for this half would be 6 toys * $5/toy = $30.\n\nFor the other half of the collection (also 6 toy soldiers), the buyer would pay $7 per toy.\nSo, the total cost for this half would be 6 toys * $7/toy = $42.\n\nTo find the total earnings, we add the cost for both halves:\n$30 + $42 = $72.\n\nMatthew would earn a total of $72 if he agrees to the buyer's offer.\n\n#### 72\nThe answer is: 72", "answer": {"result": 72.0}}, "matches": true} +{"solution": {"solution": "Nate's dog digs 6 holes a day for 14 days, so the dog digs a total of 6 holes/day * 14 days = 84 holes.\n\nNate starts filling in 9 holes a day, but the dog keeps digging 6 new holes every night. So, each day, the number of holes decreases by 6.\n\nIf Nate fills 9 holes a day, and the dog digs 6 new ones, the net decrease in the number of holes each day is 9 - 6 = 3 holes.\n\nTo find out how many days it will take for Nate to fill in all the holes, we divide the total number of holes by the net decrease per day: 84 holes / 3 holes/day = 28 days.\n\nSince there are 7 days in a week, we divide the number of days by 7 to find out how many weeks it takes: 28 days / 7 days/week = 4 weeks.\n\nTherefore, it will take Nate $\\boxed{4}$ weeks to fill in all the holes.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find the average enrollment at Butler High School, we multiply the average enrollment at Norman High School by 3/4:\n3/4 * 4000 = 3000 students.\n\nNow, to find the difference in average enrollment between the two schools:\n4000 - 3000 = 1000 students.\n\nThe average enrollment at Norman High School is 1000 students greater than the enrollment at Butler High School.\n\nAnswer: \\boxed{1000}", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how many chocolate chip cookies the Adams family has made, we need to subtract the number of rainbow cookies and oatmeal cookies from the total number of cookies they've made.\n\nTotal cookies made: 7995\nRainbow cookies: 2595\nOatmeal cookies: 3075\n\nChocolate chip cookies = Total cookies - Rainbow cookies - Oatmeal cookies\nChocolate chip cookies = 7995 - 2595 - 3075\nChocolate chip cookies = 7995 - 5670\nChocolate chip cookies = 2325\n\nThe Adams family has made $\\boxed{2325}$ chocolate chip cookies.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Let's start by calculating the number of test tubes and Petri dishes Igor actually gathered.\n\nIgor gathered half as many test tubes as requested, so he gathered 16 / 2 = 8 test tubes.\n\nHe gathered two more than the number of Petri dishes requested, so he gathered 14 + 2 = 16 Petri dishes.\n\nWe know that Igor picked up the correct number of beakers, which is 7.\n\nNow, let's calculate the total number of items Igor had on the lab bench before losing any beakers.\n\nTotal items = Test tubes + Beakers + Petri dishes\nTotal items = 8 test tubes + 7 beakers + 16 Petri dishes\nTotal items = 8 + 7 + 16\nTotal items = 31\n\nHowever, we know that the total number of items Igor placed on the lab bench was 29.\n\nThis means that Igor must have lost some beakers.\n\nLet's calculate the difference between the total items Igor should have had and the total items he actually placed on the lab bench.\n\nLost beakers = Total items - Total items placed on the lab bench\nLost beakers = 31 - 29\nLost beakers = 2\n\nIgor lost $\\boxed{2}$ beakers.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how many screws James will have left over, we first calculate the total number of screws needed for the 4 tables. \n\nEach table has 4 legs, and each leg requires 2 screws. Therefore, the number of screws needed for one table is:\n\n\\[4 \\text{ legs} \\times 2 \\text{ screws/leg} = 8 \\text{ screws}\\]\n\nSince James is putting together 4 tables, the total number of screws needed is:\n\n\\[4 \\text{ tables} \\times 8 \\text{ screws/table} = 32 \\text{ screws}\\]\n\nJames starts with 40 screws. To find out how many he will have left over after using 32 screws, we subtract the number of screws used from the total number of screws he has:\n\n\\[40 \\text{ screws} - 32 \\text{ screws} = 8 \\text{ screws}\\]\n\nTherefore, James will have $\\boxed{8}$ screws left over.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If there are 10 eggs in the first basket, and the second basket has twice as many eggs, then the second basket has 10 x 2 = 20 eggs. \n\nTo find the total number of eggs in both baskets, we add the number of eggs in each basket: \n\n10 (from the first basket) + 20 (from the second basket) = 30 eggs. \n\nSo, there are $\\boxed{30}$ eggs in both baskets put together.The answer is: 30", "answer": {"result": 30.0}}, "matches": true} +{"solution": {"solution": "To find the total amount raised, we need to calculate the amount raised by each girl and then sum them up.\n\nAlexandra raises $430.\nKim raises $320 more than Alexandra, so Kim raises $430 + $320 = $750.\nSarah raises $300.\nMaryam raises $400 more than Sarah, so Maryam raises $300 + $400 = $700.\n\nNow, we add up the amounts raised by all four girls:\n\nAlexandra: $430\nKim: $750\nSarah: $300\nMaryam: $700\n\nTotal = $430 + $750 + $300 + $700 = $2180\n\nThey raised a total of $\\boxed{$2180}$ .", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, we start by understanding the given information and then proceed to calculate the time Vanessa took to complete her part of the race.\n\n1. **Understanding the Speeds**:\n - Aaron's speed is twice Vanessa's. This means if we let Vanessa's speed be $x$ miles per minute, then Aaron's speed is $2x$ miles per minute.\n\n2. **Understanding the Distances**:\n - Vanessa runs twice as far as Aaron. If Aaron runs for 16 minutes, and we know Aaron's speed, we can find the distance he covers.\n - Since Aaron's speed is $2x$ miles per minute, in 16 minutes, he covers $16 \\times 2x = 32x$ miles.\n - Given that Vanessa runs twice as far as Aaron, she covers $32x \\times 2 = 64x$ miles.\n\n3. **Calculating Vanessa's Time**:\n - We know Vanessa runs 4 miles. Since her speed is $x$ miles per minute, the time it takes for her to run 4 miles is $4 \\div x$ minutes.\n\n4. **Final Answer**:\n - Substituting $x = 1$ into the time calculation for Vanessa, we get $4 \\div 1 = 4$ minutes.\n\nTherefore, Vanessa took $\\boxed{4}$ minutes to complete her part of the race.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To find out how much line the caretaker needs to buy, we first determine how much line is already available and then calculate the additional amount required. \n\n1. **Calculate the line already available:**\n\nThe caretaker has 6 feet of new line.\n\n2. **Calculate the total line needed:**\n\nThe caretaker needs 3 feet of line for every foot of dock. Since there is currently 200 feet of dock, the total line required is:\n\\[200 \\times 3 = 600 \\text{ feet}\\]\n\n3. **Determine the additional line needed:**\n\nTo find out how much more line the caretaker needs to buy, we subtract the line he already has from the total line required:\n\\[600 - 6 = 594 \\text{ feet}\\]\n\nTherefore, the caretaker needs to buy a total of $\\boxed{594}$ feet of line.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Tom's restaurant gets 6 reservations a night, and they are open for 2 days a week. \n\nReservations per night = 6\nDays open per week = 2\nTotal reservations per week = 6 * 2 = 12\n\nEach reservation orders:\n- 2 meals at $5 each = 2 * $5 = $10\n- 1 bottle of wine at $5\n\nTotal cost per reservation = $10 (meals) + $5 (wine) = $15\n\nTotal revenue per week = Total reservations per week * Total cost per reservation\nTotal revenue per week = 12 * $15 = $180\n\nTom's restaurant makes $\\boxed{\\$180}$ a week.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nTo find out how much each watermelon was sold for, we first need to determine the total cost of the watermelons including the profit. \n\n1. **Calculate the profit:**\n - The vendor made a 25% profit on each watermelon.\n - The total cost of 50 watermelons is $80.\n - Profit on one watermelon = 25% of $80.\n \n2. **Calculate the profit on the total cost:**\n - Profit on the total cost = 25% of $80\n - Profit on the total cost = $\\frac{25}{100} \\times 80 = 20$\n\n3. **Determine the selling price:**\n - Total selling price = Cost + Profit\n - Total selling price = $80 + $20\n - Total selling price = $100\n\n4. **Calculate the selling price per watermelon:**\n - Number of watermelons = 50\n - Selling price per watermelon = $\\frac{\\text{Total selling price}}{\\text{Number of watermelons}}$\n - Selling price per watermelon = $\\frac{100}{50} = 2$\n\nTherefore, each watermelon was sold for:\n\n$$\n\\boxed{2}\n$$", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, we start by determining Dora's current age. Since Dora will turn 12 in 3 years, we subtract 3 from her future age to find her current age:\n\n\\[12 - 3 = 9\\]\n\nSince James is twice as old as Dora, we calculate James's age by multiplying Dora's current age by 2:\n\n\\[9 \\times 2 = 18\\]\n\nNow, knowing that James is 18 years old and he was born when John was 19, we can find out how old John was when James was born:\n\n\\[32 - 19 = 13\\]\n\nThis means John was 13 years old when his son James was born. To find out how old James will be in 3 years, we add 3 to his current age:\n\n\\[18 + 3 = 21\\]\n\nTherefore, James will be 21 years old in 3 years.\n\nFor the youngest son, who was born when John was 32, we need to find out how old John was when his youngest son was born. Since we know John was 32 when his youngest son was born, and James was born 11 years earlier, we calculate John's age at the birth of his youngest son:\n\n\\[32 - 11 = 21\\]\n\nThis means John was 21 years old when his youngest son was born. To find out how old the youngest son will be in 3 years, we add 3 to his age at birth:\n\n\\[0 + 3 = 3\\]\n\nTherefore, the youngest son will be 3 years old in 3 years.\n\nEncapsulating the final answers:\n\n- James's age in 3 years: \\(\\boxed{21}\\)\n- The youngest son's age in 3 years: \\(\\boxed{3}\\)", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. Determine the total number of minutes in an hour:\n \\[\n 60 \\text{ minutes}\n \\]\n\n2. Calculate the number of oranges each person can peel in one hour:\n - Ana peels one orange in 3 minutes. Hence, in 60 minutes, she can peel:\n \\[\n \\frac{60}{3} = 20 \\text{ oranges}\n \\]\n - Jane peels one orange in 4 minutes. Hence, in 60 minutes, she can peel:\n \\[\n \\frac{60}{4} = 15 \\text{ oranges}\n \\]\n\n3. Determine the difference in the number of oranges peeled by Ana and Jane in one hour:\n \\[\n 20 - 15 = 5 \\text{ oranges}\n \\]\n\n### Conclusion:\nAna will peel 5 more oranges than Jane in one hour.\n\n\\[\n\\boxed{5}\n\\]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "First, Mark gets a 80% discount on the new radiator, so he pays 100% - 80% = 20% of the original price. \n\n20% of $400 is (20/100) * $400 = $80.\n\nNext, Mark pays for the mechanic's labor. The mechanic charges $50 per hour and it takes 3 hours to install the radiator, so Mark pays 3 * $50 = $150 for labor.\n\nFinally, Mark pays the cost of the radiator installation, which is $80 for the radiator + $150 for labor = $230 in total. \n\nSo, Mark paid $\\boxed{\\$230}$ for the new radiator and installation.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, I need to find a way to relate the number of chickens and cows to the total number of legs.\nI know that chickens have 2 legs each and cows have 4 legs each, so I can write an equation using these facts.\nLet x be the number of chickens and y be the number of cows.\nThen I have two equations:\nx + y = 20 (since the total number of animals is 20)\n2x + 4y = 70 (since the total number of legs is 70)\nI can simplify the second equation by dividing both sides by 2, which gives me:\nx + 2y = 35\nNow I have a system of two linear equations with two unknowns.\nOne way to solve this system is to use elimination.\nI can subtract the first equation from the second equation, which eliminates x and gives me:\ny = 15\nThis means that there are 15 cows on the farm.\nTo find the number of chickens, I can plug y = 15 into either equation.\nUsing the first equation, I get:\nx + 15 = 20\nx = 5\nSo there are 5 chickens on the farm.\nI can check my answer by plugging x and y into both equations and seeing if they are true.\nx + y = 20: 5 + 15 = 20 (true)\n2x + 4y = 70: 2(5) + 4(15) = 10 + 60 = 70 (true)\nTherefore, my answer is correct.\nThe final answer is 5 chickens.The answer is: 5", "answer": {"result": 5.0}}, "matches": true} +{"solution": {"solution": "If there are 7 pizzas and each pizza is cut into 8 slices, then there are a total of 7 x 8 = 56 slices.\n\nHenry and his 3 friends make a group of 4 people.\n\nTo share the 56 slices equally among 4 people, each person gets 56 / 4 = $\\boxed{14}$ slices.", "answer": {"result": 0}}, "matches": false} diff --git a/examples/gsm8k/math_out.jsonl b/examples/gsm8k/math_out.jsonl new file mode 100644 index 00000000..b79741d6 --- /dev/null +++ b/examples/gsm8k/math_out.jsonl @@ -0,0 +1,1321 @@ +{"solution": {"solution": "Janet's ducks lay 16 eggs per day. \nShe eats 3 eggs for breakfast and uses 4 eggs for baking muffins, so she consumes a total of 3 + 4 = 7 eggs. \nTherefore, she has 16 - 7 = 9 eggs remaining to sell at the farmers' market. \nShe sells each egg for $2, so she makes 9 * $2 = $18 every day at the farmers' market. \n#### 18\nThe answer is: 18", "answer": {"result": 18}}, "matches": true} +{"solution": {"solution": "2 bolts of blue fiber and half of that in white fiber means 2 bolts of blue fiber and 1 bolt of white fiber. \nSo in total, it takes 2 + 1 = 3 bolts of fiber to make the robe. \n#### 3\nThe answer is: 3", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "Josh buys a house for $80,000 and puts in $50,000 in repairs, so his total investment is $80,000 + $50,000 = $130,000.\nThe repairs increased the value of the house by 150%, so the new value of the house is $80,000 + ($80,000 * 150%) = $80,000 + $120,000 = $200,000.\nTo calculate the profit, we subtract the total investment from the new value of the house: $200,000 - $130,000 = $70,000.\nTherefore, Josh made a profit of $70,000.\n#### 70000\nThe answer is: 70000", "answer": {"result": 70000}}, "matches": true} +{"solution": {"solution": "James runs 3 sprints each time, and he runs 3 times a week. So, the total number of sprints he runs in a week is:\n\n3 sprints/time * 3 times/week = 9 sprints/week\n\nEach sprint is 60 meters, so the total distance he runs in a week is:\n\n9 sprints/week * 60 meters/sprint = 540 meters/week\n\nTherefore, James runs a total of $\\boxed{540}$ meters a week.", "answer": {"result": 540}}, "matches": true} +{"solution": {"solution": "Wendi feeds her chickens three cups of feed per meal, and she feeds them three times a day, so in total, she feeds them 3 cups x 3 meals = 9 cups of feed per day.\nShe has 20 chickens in her flock, so she needs to feed them a total of 9 cups x 20 chickens = 180 cups of feed per day.\nIn the morning, she gives them 15 cups of feed, and in the afternoon, she gives them 25 cups of feed, so she has already given them 15 cups + 25 cups = 40 cups of feed.\nTo find out how many cups of feed she needs to give them in the final meal of the day, we subtract the amount she has already given from the total amount needed: 180 cups - 40 cups = 140 cups.\nWendi needs to give her chickens 140 cups of feed in the final meal of the day.\n#### 140\nThe answer is: 140", "answer": {"result": 140}}, "matches": false} +{"solution": {"solution": "\n1. **Calculate the cost of the first glass:**\n \\[\n \\text{Cost of the first glass} = 5 \\text{ dollars}\n \\]\n\n2. **Determine the cost of each subsequent glass (every second glass):**\n \\[\n \\text{Cost of subsequent glass} = 0.6 \\times 5 = 3 \\text{ dollars}\n \\]\n\n3. **Group the glasses into pairs:**\n - There are 16 glasses in total.\n - Each pair consists of one glass at $5$ dollars and one glass at $3$ dollars.\n - There are \\( \\frac{16}{2} = 8 \\) such pairs.\n\n4. **Calculate the total cost of one pair:**\n \\[\n \\text{Cost of one pair} = 5 + 3 = 8 \\text{ dollars}\n \\]\n\n5. **Calculate the total cost for all pairs:**\n \\[\n \\text{Total cost for 8 pairs} = 8 \\times 8 = 64 \\text{ dollars}\n \\]\n\n6. **Conclusion:**\n \\[\n \\boxed{64}\n \\]", "answer": {"result": 64}}, "matches": true} +{"solution": {"solution": "\nLet's start by determining the number of sheep each city has based on the given information:\n\n1. **Seattle's sheep count:** It is given that Seattle has 20 sheep.\n\n2. **Charleston's sheep count:** Charleston has 4 times as many sheep as Seattle.\n \\[\n \\text{Charleston's sheep} = 4 \\times \\text{Seattle's sheep} = 4 \\times 20 = 80\n \\]\n\n3. **Toulouse's sheep count:** Toulouse has twice as many sheep as Charleston.\n \\[\n \\text{Toulouse's sheep} = 2 \\times \\text{Charleston's sheep} = 2 \\times 80 = 160\n \\]\n\n4. **Total sheep count for all cities:** \n \\[\n \\text{Total sheep} = \\text{Toulouse's sheep} + \\text{Charleston's sheep} + \\text{Seattle's sheep}\n \\]\n Substituting the known values:\n \\[\n \\text{Total sheep} = 160 + 80 + 20 = 260\n \\]\n\n### Conclusion:\n\n\\[\n\\boxed{260}\n\\]", "answer": {"result": 260}}, "matches": true} +{"solution": {"solution": "First, calculate 40% of the file size to find out how much Carla downloads before the restart:\n\\[ 0.40 \\times 200 \\text{ GB} = 80 \\text{ GB} \\]\n\nNext, determine how long it takes Carla to download 80 GB at 2 GB/minute:\n\\[ \\frac{80 \\text{ GB}}{2 \\text{ GB/minute}} = 40 \\text{ minutes} \\]\n\nAfter the restart, Carla's progress is reset, and she has to download the remaining 120 GB (200 GB - 80 GB):\n\\[ 200 \\text{ GB} - 80 \\text{ GB} = 120 \\text{ GB} \\]\n\nCalculate the time required to download the remaining 120 GB at 2 GB/minute:\n\\[ \\frac{120 \\text{ GB}}{2 \\text{ GB/minute}} = 60 \\text{ minutes} \\]\n\nAdd the time spent downloading before the restart and the time spent downloading after the restart:\n\\[ 40 \\text{ minutes} + 20 \\text{ minutes} + 60 \\text{ minutes} = 120 \\text{ minutes} \\]\n\nThus, the total time Carla spends downloading the file is:\n\\[ \\boxed{120 \\text{ minutes}} \\]", "answer": {"result": 120}}, "matches": false} +{"solution": {"solution": "First, let's calculate the distance John drove before turning around. He drove for 3 hours at a speed of 60 mph, so the distance is:\n\nDistance = Speed \u00d7 Time\nDistance = 60 mph \u00d7 3 hours\nDistance = 180 miles\n\nWhen he turns around, he drives back at 80 mph for 2 hours. So the distance covered in the first 2 hours after turning around is:\n\nDistance = 80 mph \u00d7 2 hours\nDistance = 160 miles\n\nNow, let's calculate the distance he covered in the 0.5 hours at 30 mph after spending 2 hours in standstill traffic:\n\nDistance = 30 mph \u00d7 0.5 hours\nDistance = 15 miles\n\nFinally, he drives the remaining 2 hours at 80 mph. The distance covered in these 2 hours is:\n\nDistance = 80 mph \u00d7 2 hours\nDistance = 160 miles\n\nNow, let's add up all the distances to find out how far he is from home after 4 hours:\n\nTotal distance = 180 miles (before turning around) + 160 miles (first 2 hours after turning around) + 15 miles (next 0.5 hours) + 160 miles (remaining 2 hours)\nTotal distance = 515 miles\n\nSo, John is $\\boxed{515}$ miles from home at the end of those 4 hours.", "answer": {"result": 515}}, "matches": false} +{"solution": {"solution": "Eliza's regular rate is $10 per hour for the first 40 hours. \n\nFor the 45 hours she worked, she worked 5 hours of overtime. \n\nHer overtime rate is 1.2 times her regular rate, which is 1.2 * $10 = $12 per hour. \n\nFor the 5 hours of overtime, she earns 5 * $12 = $60. \n\nFor the first 40 hours, she earns 40 * $10 = $400. \n\nAdding her regular earnings and her overtime earnings, her total earnings for the week are $400 + $60 = $460. \n\n#### 460\nThe answer is: 460", "answer": {"result": 460}}, "matches": true} +{"solution": {"solution": "In the second month, the program had 3 times as many downloads as the first month, so the number of downloads was 60 * 3 = 180.\n\nIn the third month, the number of downloads was reduced by 30%. To find the reduced number, we calculate 30% of 180, which is 180 * 0.30 = 54. \n\nSubtracting the 30% reduction from the second month's downloads gives us 180 - 54 = 126 downloads in the third month.\n\nTo find the total number of downloads over the three months, we add the downloads from each month: 60 (first month) + 180 (second month) + 126 (third month) = 366 downloads.\n\nTherefore, the program had a total of $\\boxed{366}$ downloads over the three months.The answer is: 366", "answer": {"result": 366}}, "matches": true} +{"solution": {"solution": "To find the total cost, we need to calculate the cost of each type of pastry and then sum them up.\n\nFor the donuts:\n3 dozen donuts at $68 per dozen\nCost = 3 * $68 = $204\n\nFor the mini cupcakes:\n2 dozen mini cupcakes at $80 per dozen\nCost = 2 * $80 = $160\n\nFor the mini cheesecakes:\n6 dozen mini cheesecakes at $55 per dozen\nCost = 6 * $55 = $330\n\nNow, we add the costs of all the pastries together to get the total cost:\nTotal cost = Cost of donuts + Cost of mini cupcakes + Cost of mini cheesecakes\nTotal cost = $204 + $160 + $330 = $694\n\nThe total cost for the pastries is $\\boxed{\\$694}$ .", "answer": {"result": 694}}, "matches": true} +{"solution": {"solution": "\nTo calculate the number of years it will take for Carlos to start earning money on his lemon tree, we need to consider the initial cost, the annual income from selling lemons, and the annual maintenance cost.\n\n1. **Calculate the total annual income from lemons:**\n - Each year, the tree will grow 7 lemons.\n - Each lemon can be sold for $1.5.\n - Therefore, the annual income from lemons is:\n \\[\n 7 \\text{ lemons} \\times \\$1.5/\\text{lemon} = \\$10.5\n \\]\n\n2. **Calculate the total annual cost of maintenance:**\n - It costs $3 each year to water and feed the tree.\n - Therefore, the total annual cost of maintenance is:\n \\[\n \\$3\n \\]\n\n3. **Determine the net annual income:**\n - Subtract the maintenance cost from the annual income from lemons:\n \\[\n \\$10.5 - \\$3 = \\$7.5\n \\]\n - The net annual income is $7.5.\n\n4. **Calculate the number of years needed to recover the initial cost:**\n - The initial cost to plant the tree is $90.\n - Divide the initial cost by the net annual income to find the number of years:\n \\[\n \\frac{\\$90}{\\$7.5/\\text{year}} = 12 \\text{ years}\n \\]\n\n### Conclusion:\n\nCarlos will start earning money on the lemon tree after \\(\\boxed{12}\\) years.", "answer": {"result": 12}}, "matches": false} +{"solution": {"solution": "Let's denote the total number of vacuum cleaners Melanie started with as V.\n\nAccording to the information given:\n\n1. She sold a third of her vacuum cleaners at the green house. So, she sold V/3 vacuum cleaners at the green house.\n2. She sold 2 more to the red house than she did at the green house, which means she sold V/3 + 2 vacuum cleaners at the red house.\n3. After selling to the green and red houses, she had V - (V/3 + V/3 + 2) left.\n4. She then sold half of what was left at the orange house, so she sold (V - (V/3 + V/3 + 2))/2 vacuum cleaners at the orange house.\n5. After selling at the orange house, she had 5 vacuum cleaners left.\n\nLet's set up the equation:\n\nV - (V/3 + V/3 + 2) = 2 * ((V - (V/3 + V/3 + 2))/2) + 5\n\nFirst, simplify the equation by combining like terms:\n\nV - (2V/3 + 2) = V/2 + 5\n\nNow, let's solve for V:\n\nV - 2V/3 - 2 = V/2 + 5\n\nMultiply every term by 6 to clear the denominators:\n\n6V - 4V - 12 = 3V + 30\n\nCombine like terms:\n\n2V - 12 = 3V + 30\n\nSubtract 2V from both sides:\n\n-12 = V + 30\n\nSubtract 30 from both sides:\n\nV = -42\n\nSince the number of vacuum cleaners cannot be negative, there must be a mistake in the setup of the equation. Let's go back and check the equation after simplifying the terms correctly:\n\nV - (2V/3 + 2) = V/2 + 5\n\nMultiply every term by 6 to clear the denominators:\n\n6V - 4V - 12 = 3V + 30\n\nCombine like terms:\n\n2V - 12 = 3V + 30\n\nSubtract 2V from both sides:\n\n-12 = V + 30\n\nThis is incorrect. Let's correct the equation after simplifying the terms correctly:\n\nV - (2V/3 + 2) = 2 * ((V - (V/3 + V/3 + 2))/2) + 5\n\n6V - 4V - 12 = 3V + 30 - V\n\nCombine like terms:\n\n2V - 12 = 2V + 30\n\nSubtract 2V from both sides:\n\n-12 = 30\n\nThis is still incorrect. The mistake is in the simplification of the right side of the equation. Let's correct that:\n\nV - (2V/3 + 2) = 2 * ((V - (V/3 + V/3 + 2))/2) + 5\n\n6V - 4V - 12 = 3V + 30 - V\n\nCombine like terms:\n\n2V - 12 = 2V + 30\n\nSubtract 2V from both sides:\n\n-12 = 30\n\nThis is still incorrect. Let's correct the simplification of the right side of the equation:\n\nV - (2V/3 + 2) = 2 * ((V - (2V/3 + 2))/2) + 5\n\n6V - 4V - 12 = 3V - 2 + 30\n\nCombine like terms:\n\n2V - 12 = 3V + 28\n\nSubtract 2V from both sides:\n\n-12 = V + 28\n\nSubtract 28 from both sides:\n\nV = -40\n\nThis is still incorrect. Let's correct the equation again:\n\nV - (2V/3 + 2) = 2 * ((V - (2V/3 + 2))/2) + 5\n\n6V - 4V - 12 = 3V - 4 + 30\n\nCombine like terms:\n\n2V - 12 = 3V + 26\n\nSubtract 2V from both sides:\n\n-12 = V + 26\n\nSubtract 26 from both sides:\n\nV = -38\n\nThis is still incorrect. Let's correct the equation one last time:\n\nV - (2V/3 + 2) = 2 * ((V - (2V/3 + 2))/2) + 5\n\n6V - 4V - 12 = 3V - 4 + 30\n\nCombine like terms:\n\n2V - 12 = 3V + 26\n\nSubtract 2V from both sides:\n\n-12 = V + 26\n\nSubtract 26 from both sides:\n\nV = -38\n\nThis is still incorrect. There seems to be a persistent error in the setup of the equation. Let's try a different approach by setting up the equation correctly:\n\nV - (V/3 + V/3 + 2) = 5\n\nMultiply every term by 6 to clear the denominators:\n\n6V - 2V - 12 = 30\n\nCombine like terms:\n\n4V - 12 = 30\n\nAdd 12 to both sides:\n\n4V = 42\n\nDivide by 4:\n\nV = 10.5\n\nSince the number of vacuum cleaners must be an integer, it seems there was a mistake in the problem statement or in the interpretation of the problem. The number of vacuum cleaners cannot be a fraction. Let's re-evaluate the problem statement to ensure all the information is correct.\n\nGiven the information, it appears there might be an error in the problem statement or in the interpretation of the sales. If Melanie has 5 vacuum cleaners left, and she sold a third, 2 more, and half of what was left, the sales should add up to the total number she started with, which should be an integer.\n\nPlease double-check the problem statement or provide additional information to solve for the correct number of vacuum cleaners Melanie started with.", "answer": {"result": -38}}, "matches": false} +{"solution": {"solution": "\n1. Determine the number of students enrolled in contemporary dance:\n\\[ 20\\% \\text{ of } 20 = 0.20 \\times 20 = 4 \\text{ students} \\]\n\n2. Calculate the remaining number of students after accounting for those enrolled in contemporary dance:\n\\[ 20 - 4 = 16 \\text{ students} \\]\n\n3. Determine the number of students enrolled in jazz dance:\n\\[ 25\\% \\text{ of } 16 = 0.25 \\times 16 = 4 \\text{ students} \\]\n\n4. Calculate the number of students enrolled in hip-hop dance by subtracting the students enrolled in jazz dance from the remaining students:\n\\[ 16 - 4 = 12 \\text{ students} \\]\n\n5. Find the percentage of the entire class that enrolled in hip-hop dance:\n\\[ \\frac{12}{20} \\times 100\\% = 0.6 \\times 100\\% = 60\\% \\]\n\n### Conclusion:\n\n\\[\n\\boxed{60\\%}\n\\]", "answer": {"result": 60}}, "matches": true} +{"solution": {"solution": "To solve this problem, we need to calculate the potential profit from each purchase option and then determine which one yields the highest profit.\n\n**Plan 1: Jewelry**\n- Initial cost: $5,000\n- Expected increase: 2.5%\n- Increase amount: $5,000 * 0.025 = $125\n- Total value after increase: $5,000 + $125 = $5,125\n- Profit: $5,125 - $5,000 = $125\n\n**Plan 2: Electronic Gadgets**\n- Initial cost: $8,000\n- Expected increase: 1.2%\n- Increase amount: $8,000 * 0.012 = $96\n- Total value after increase: $8,000 + $96 = $8,096\n- Profit: $8,096 - $8,000 = $96\n\nComparing the profits from both plans, the jewelry plan would yield a higher profit of $125 compared to the electronic gadgets plan's profit of $96.\n\nTherefore, the merchant should choose the jewelry purchase plan to maximize profit at the end of the month.\n\nFinal answer: The merchant should choose the jewelry purchase plan, resulting in a profit of $\\boxed{125}$ dollars.", "answer": {"result": 125}}, "matches": true} +{"solution": {"solution": "To find the total distance covered by each train in the two days, we can break down the journey into two parts: the first day's travel westward and the second day's travel northward. \n\n1. The first day's travel is westward, and both trains cover 80 miles. Therefore, the total distance for each train on the first day is $80$ miles.\n\n2. On the second day, they travel northwards, covering 150 miles. This means each train covers an additional $150$ miles.\n\n3. To find the total distance for each train over the two days, we add the distances from the first day and the second day:\n \\[\n \\text{Total distance} = 80 \\, \\text{miles} + 150 \\, \\text{miles} = 230 \\, \\text{miles}\n \\]\n\nTherefore, the distance covered by each train in the two days is $\\boxed{230 \\, \\text{miles}}$.", "answer": {"result": 230}}, "matches": true} +{"solution": {"solution": "Jill earns $20 per hour as a teacher and works 35 hours a week, so her weekly earnings from teaching are $20 x 35 = $700. \n\nJill earns $30 per hour as a coach and works 15 hours a week, so her weekly earnings from coaching are $30 x 15 = $450. \n\nIn total, Jill earns $700 + $450 = $1150 per week. \n\nSince there are 50 weeks in a year, her annual salary is $1150 x 50 = $57,500. \n\n#### 57500\nThe answer is: 57500", "answer": {"result": 57500}}, "matches": true} +{"solution": {"solution": "A dozen is equal to 12 eggs, so we need to convert the number of eggs Claire uses each morning to dozens.\n\nClaire uses 3 eggs per omelet, and she makes a 3-egg omelet every morning.\nSo, she uses 3/3 = 1 dozen eggs per day.\n\nThere are 7 days in a week, so in one week, Claire uses 1 dozen/day * 7 days/week = 7 dozen eggs.\n\nIn 4 weeks, Claire will use 7 dozen/week * 4 weeks = 28 dozen eggs.\n\nTherefore, Claire will eat 28 dozen eggs in 4 weeks.\n\n#### 28\nThe answer is: 28", "answer": {"result": 28}}, "matches": false} +{"solution": {"solution": "Marissa has already walked a total of 4 + 2 = 6 miles.\nShe has 12 - 6 = 6 miles left to hike.\nShe wants her average speed to be 4 miles per hour for the entire 12-mile trail.\nSince she has already spent 2 hours walking, she has 12 - 4 = 8 miles left to hike in 6 hours (to maintain an average speed of 4 miles per hour).\nTo find the speed she needs to walk the remaining distance, we divide the distance by the time: 6 miles / 6 hours = 1 mile per hour.\nTherefore, Marissa needs to walk the remaining distance at a speed of 1 mile per hour.\n#### 1\nThe answer is: 1", "answer": {"result": 1}}, "matches": false} +{"solution": {"solution": "1. **Calculate the amount of water in the orange drink before spilling**:\n \\[\n \\text{Original orange drink} = 10 \\text{ liters}\n \\]\n \\[\n \\frac{2}{3} \\times 10 = \\frac{20}{3} \\approx 6.67 \\text{ liters}\n \\]\n\n2. **Adjust for the spilled orange drink**:\n \\[\n \\text{Spilled orange drink} = 1 \\text{ liter}\n \\]\n \\[\n \\text{Remaining orange drink} = 10 - 1 = 9 \\text{ liters}\n \\]\n \\[\n \\text{Water in remaining orange drink} = \\frac{2}{3} \\times 9 = 6 \\text{ liters}\n \\]\n\n3. **Calculate the amount of water in the pineapple drink**:\n \\[\n \\text{Pineapple drink} = 15 \\text{ liters}\n \\]\n \\[\n \\frac{3}{5} \\times 15 = \\frac{45}{5} = 9 \\text{ liters}\n \\]\n\n4. **Combine the water from both drinks**:\n \\[\n \\text{Total water} = 6 \\text{ liters (from orange)} + 9 \\text{ liters (from pineapple)} = 15 \\text{ liters}\n \\]\n\n5. **Verify the total volume and composition**:\n \\[\n \\text{Combined volume} = (10 - 1) + 15 = 24 \\text{ liters}\n \\]\n \\[\n \\text{Water as a fraction of total} = \\frac{15}{24} = \\frac{5}{8}\n \\]\n\n6. **Conclusion**:\n \\[\n \\boxed{15}\n \\]\n\nThe amount of water in the remaining 24 liters of the mixed drink is $\\boxed{15}$ liters.\n\n**Final Answer**:\n\\[\n\\boxed{15 \\text{ liters}}\n\\]", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "If Samantha is currently 31 years old, then Raymond, who is 6 years younger, would be 31 - 6 = 25 years old. \n\nRaymond had his son at the age of 23. \n\nTo find out how many years ago Raymond's son was born, we subtract the age Raymond was when he had his son from his current age: 25 - 23 = 2 years ago.\n\nSo, Raymond's son was born $\\boxed{2}$ years ago.", "answer": {"result": 2}}, "matches": false} +{"solution": {"solution": "Billy's first 3 customers buy 1 DVD each, so that's 3 DVDs.\nHis next 2 customers buy 2 DVDs each, so that's 2 * 2 = 4 DVDs.\nHis last 3 customers don't buy any DVDs, so that's 0 DVDs.\nIn total, Billy sold 3 + 4 + 0 = 7 DVDs on Tuesday.\n#### 7\nThe answer is: 7", "answer": {"result": 7}}, "matches": true} +{"solution": {"solution": "1. **Determine the total burning time**: The candle burns from 1:00 PM to 5:00 PM. The duration can be calculated as follows:\n \\[\n 5:00 \\, \\text{PM} - 1:00 \\, \\text{PM} = 4 \\, \\text{hours}\n \\]\n\n2. **Calculate the total length melted**: Given that the candle melts 2 centimeters every hour, the total length melted over the 4-hour period is:\n \\[\n 4 \\, \\text{hours} \\times 2 \\, \\text{cm/hour} = 8 \\, \\text{cm}\n \\]\n\n3. **Conclusion**: The candle will be 8 centimeters shorter after burning for this period.\n\n\\[\n\\boxed{8 \\, \\text{cm}}\n\\]", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "Let \\( P \\) be the original price of the book.\n\n1. Kyle bought the book with a 25% discount. This means the price he paid is 75% of the original price (since \\(100\\% - 25\\% = 75\\%\\)).\n\n2. The equation representing the relationship can be written as:\n \\[\n 0.75P = 19.50\n \\]\n\n3. To find the original price \\( P \\), solve the equation by dividing both sides by 0.75:\n \\[\n P = \\frac{19.50}{0.75}\n \\]\n\n4. Perform the division:\n \\[\n P = 26\n \\]\n\nSo, the original price of the book was $\\boxed{26}$ dollars.", "answer": {"result": 26}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total cost of the chicken meal, milk, and apples. \n\nThe chicken meal costs $12.\nThe 5 packs of milk cost 5 * $3 = $15.\nThe 4 apples cost 4 * $1.50 = $6.\n\nNow, let's add these costs together to find the total cost of these items:\n\n$12 (chicken meal) + $15 (milk) + $6 (apples) = $33.\n\nMarie paid a total of $50, so to find out how much she spent on pizza, we subtract the total cost of the other items from the total amount she paid:\n\n$50 - $33 = $17.\n\nNow, we know that each box of pizza costs $8.50. To find out how many boxes of pizza Marie ordered, we divide the total amount she spent on pizza by the cost of one box:\n\n$17 / $8.50 = 2.\n\nSo, Marie ordered $\\boxed{2}$ boxes of pizza.", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "Mishka bought 3 pairs of shorts at $16.50 each, so the total cost for the shorts is 3 * $16.50 = $49.50.\n\nMishka bought 3 pairs of pants at $22.50 each, so the total cost for the pants is 3 * $22.50 = $67.50.\n\nMishka bought 3 pairs of shoes at $42 each, so the total cost for the shoes is 3 * $42 = $126.\n\nTo find the total amount Mishka spent on all the clothing items, we add the costs together:\n\n$49.50 (shorts) + $67.50 (pants) + $126 (shoes) = $243.\n\nMishka spent $\\boxed{\\$243}$ on all the clothing items.", "answer": {"result": 243}}, "matches": true} +{"solution": {"solution": "Cynthia eats one serving of ice cream every night, so she will finish one carton of ice cream every 15 days.\n\nSince she eats ice cream every night for 60 days, she will finish 60 / 15 = 4 cartons of ice cream.\n\nEach carton costs $4.00, so for 4 cartons, she will spend 4 * $4.00 = $16.00 on ice cream.\n\nTherefore, Cynthia will spend $16.00 on ice cream after 60 days. \n\nThe final answer is $\\boxed{\\$16.00}$ .", "answer": {"result": 16}}, "matches": true} +{"solution": {"solution": "\nHenry's total trip was 60 miles. \nHe made his first stop after 20 miles, so he had 60 - 20 = 40 miles remaining for the second leg of his trip. \nHis second stop was 15 miles before the end, so he traveled 15 miles after his first stop. \nTherefore, he traveled 40 - 15 = 25 miles between his first and second stops. \n#### 25\nThe answer is: 25", "answer": {"result": 25}}, "matches": true} +{"solution": {"solution": "\n\nOne pair of heels costs $33, so the other pair costs 2 * $33 = $66.\n\nThe total cost of both pairs of heels is $33 + $66 = $99.\n\nThe boots cost $5 more than the total cost of the heels, so the boots cost $99 + $5 = $104.\n\nTherefore, the boots cost $104.\n\nAnswer: \\boxed{104}", "answer": {"result": 104}}, "matches": true} +{"solution": {"solution": "1. **Determine the ratio of Darrell's age to Allen's age**: Given that Darrell and Allen's ages are in the ratio of 7:11.\n \n2. **Calculate the total ratio**: \n \\[\n 7 + 11 = 18\n \\]\n\n3. **Determine the value of one part of the ratio**: Since the sum of their ages is 162, divide this sum by the total parts of the ratio.\n \\[\n \\frac{162}{18} = 9\n \\]\n This means each part of the ratio represents 9 years.\n\n4. **Find Darrell's current age**: \n \\[\n 7 \\text{ parts} \\times 9 \\text{ years/part} = 63 \\text{ years}\n \\]\n\n5. **Find Allen's current age**: \n \\[\n 11 \\text{ parts} \\times 9 \\text{ years/part} = 99 \\text{ years}\n \\]\n\n6. **Calculate Allen's age 10 years from now**: \n \\[\n 99 \\text{ years} + 10 \\text{ years} = 109 \\text{ years}\n \\]\n\n7. **Conclusion**: After 10 years, Allen's age will be:\n \\[\n \\boxed{109}\n \\]", "answer": {"result": 109}}, "matches": true} +{"solution": {"solution": "To find the average of the guesses, we first need to calculate each guess based on the information given:\n\n1. The first guess is given directly: 80.\n2. The second guess is \"20 more than half the first one.\" Half of 80 is calculated as:\n \\[\n \\frac{80}{2} = 40\n \\]\n Adding 20 to this half gives:\n \\[\n 40 + 20 = 60\n \\]\n3. The third guess is \"25% more than the first one.\" To find 25% of 80, we calculate:\n \\[\n \\frac{25}{100} \\times 80 = 20\n \\]\n Adding this to the first guess:\n \\[\n 80 + 20 = 100\n \\]\n\nNow, we have the three guesses: 80, 60, and 100. To find their average, we add these values together and divide by the number of guesses (3):\n\\[\n\\frac{80 + 60 + 100}{3} = \\frac{240}{3} = 80\n\\]\n\nTherefore, the average of their guesses is $\\boxed{80}$.", "answer": {"result": 80}}, "matches": true} +{"solution": {"solution": "John takes care of 10 dogs, and each dog takes 0.5 hours a day to walk and take care of their business. \n\nTo find out how many hours a day John spends on the dogs, we multiply the number of dogs by the time per dog:\n10 dogs * 0.5 hours/dog = 5 hours/day\n\nSince there are 7 days in a week, we multiply the daily hours by 7 to find out the weekly hours:\n5 hours/day * 7 days/week = 35 hours/week\n\nTherefore, John spends $\\boxed{35}$ hours a week taking care of his 10 dogs.", "answer": {"result": 35}}, "matches": true} +{"solution": {"solution": "To solve the problem, let's denote the number of gold coins as $G$ and the number of silver coins as $S$. According to the problem, we have two pieces of information:\n\n1. The total number of coins Gretchen has is 110.\n2. There are 30 more gold coins than silver coins.\n\nThese can be translated into equations as follows:\n\n- The total number of coins: $G + S = 110$\n- The relationship between gold and silver coins: $G = S + 30$\n\nTo find the number of gold coins, we substitute the second equation into the first one:\n\n\\[\nG + (G - 30) = 110\n\\]\n\nThis simplifies to:\n\n\\[\n2G - 30 = 110\n\\]\n\nAdding 30 to both sides to isolate the term with $G$ gives us:\n\n\\[\n2G = 140\n\\]\n\nDividing both sides by 2 to solve for $G$:\n\n\\[\nG = \\frac{140}{2} = 70\n\\]\n\nTherefore, Gretchen has $\\boxed{70}$ gold coins.", "answer": {"result": 70}}, "matches": true} +{"solution": {"solution": "First, find out how many jewels Aaron has by calculating half of Raymond's jewels and then adding 5:\n\nHalf of Raymond's jewels = 40 / 2 = 20 jewels\nAaron has 5 more than this, so Aaron has = 20 + 5 = 25 jewels\n\nSince Siobhan has 2 fewer jewels than Aaron, Siobhan has:\n\nSiobhan's jewels = Aaron's jewels - 2 = 25 - 2 = 23 jewels\n\nTherefore, Siobhan has $\\boxed{23}$ jewels.", "answer": {"result": 23}}, "matches": true} +{"solution": {"solution": "In the first 20 minutes, Mike scores 4 points. \n\nIn the second 20 minutes, he scores 25% more points than the first 20 minutes. \n\n25% of 4 points is (25/100) * 4 = 1 point. \n\nSo, in the second 20 minutes, he scores 4 + 1 = 5 points. \n\nIn total, Mike scores 4 + 5 = $\\boxed{9}$ points.The answer is: 9", "answer": {"result": 9}}, "matches": true} +{"solution": {"solution": "Terry buys 4 yogurts for $5.00, so the price per yogurt is $5.00 / 4 = $1.25.\n\nTerry eats 2 yogurts a day, so in 30 days, he eats 2 * 30 = 60 yogurts.\n\nThe total cost for 60 yogurts is 60 * $1.25 = $75.00.\n\nTerry spends $\\$75.00$ on yogurt over 30 days.\n\nThe answer is: 75", "answer": {"result": 75}}, "matches": true} +{"solution": {"solution": "John sells all his 13 Lego sets for $15 each, so he earns 13 * $15 = $195.\nHe then buys 8 video games for $20 each, so he spends 8 * $20 = $160.\nHe has $5 left, so his total earnings minus his spending is $195 - $160 - $5 = $30.\nSince he earned $195 from selling his Lego sets, he still has 13 - (195 - 30) = 13 - 165 = -153 Lego sets left.\nHowever, it is not possible to have a negative number of Lego sets, so this means John has sold all his Lego sets and does not have any left.\n\nThe answer is: 0", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "\nJohn runs 3 hours the first day, so he runs 60 miles / 3 hours = 20 miles per hour.\n\nThe other two days he runs half as much, so he runs 20 miles / 2 = 10 miles each day.\n\nSince he runs 10 miles each day for two days, he runs a total of 10 miles/day * 2 days = 20 miles.\n\nIn total, he runs 60 miles in a week, so the 20 miles he runs on the other two days make up 20 miles / 4 days = 5 miles per hour.\n\nTherefore, John runs approximately 5 miles per hour on the other two days.\n\nThe final answer is 5 miles per hour.\n\n#### 5\nThe answer is: 5", "answer": {"result": 5}}, "matches": false} +{"solution": {"solution": "If Dana can skip at 3 miles per hour, then she can run at 3 * 2 = 6 miles per hour.\nIf she spends one-third of the time running, then she runs for 6 hours * 1/3 = 2 hours.\nIf she spends two-thirds of the time walking, then she walks for 6 hours * 2/3 = 4 hours.\nIn two hours, Dana can run a distance of 6 miles/hour * 2 hours = 12 miles.\nIn four hours, Dana can walk a distance of 3 miles/hour * 4 hours = 12 miles.\nTherefore, in six hours, Dana can travel a total distance of 12 miles + 12 miles = 24 miles.\n#### 24\nThe answer is: 24", "answer": {"result": 24}}, "matches": false} +{"solution": {"solution": "If Suzy's iPhone is 1 year old, then Ben's iPhone is 2 times older, which makes it 1 * 2 = 2 years old.\n\nBrandon's iPhone is four times as old as Ben's iPhone, so it is 2 * 4 = 8 years old.\n\nTherefore, Brandon's iPhone is $\\boxed{8}$ years old.The answer is: 8", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "When Polly holds the sapphire gemstone, she can throw the javelin three times farther than usual. The normal distance she can throw the javelin is 400 feet. Therefore, with the gemstone, she can throw it 400 feet * 3 = 1200 feet.\n\nThe dragon's flames reach 1000 feet. To find out how far outside the dragon's reach Polly can stand and still hit the dragon, we subtract the dragon's flame range from the extended throwing distance:\n\n1200 feet (extended throw distance) - 1000 feet (dragon's flame range) = 200 feet.\n\nPolly can stand 200 feet outside the dragon's flame range and still hit the dragon with the gold javelin.\n\nFinal answer: Polly can stand $\\boxed{200}$ feet outside the reach of the dragon's flames and still hit the dragon with the gold javelin.", "answer": {"result": 200}}, "matches": true} +{"solution": {"solution": "Grandma Jones baked 5 apple pies and cut each pie into 8 pieces, so there were a total of 5 x 8 = 40 pieces of pie. \n\nAfter the evening, there were 14 pieces remaining. \n\nTo find out how many pieces were taken by the guests, we subtract the remaining pieces from the total pieces:\n\n40 pieces - 14 pieces = 26 pieces.\n\nSo, the guests took $\\boxed{26}$ pieces of pie.", "answer": {"result": 26}}, "matches": true} +{"solution": {"solution": "First, let's find out how many calories are in one serving of chips:\n\n250 calories per serving\n\nNow, let's determine how many servings are in the 300g bag:\n\n5 servings\n\nNext, we'll calculate the total calories in the 300g bag:\n\n250 calories/serving * 5 servings = 1250 calories\n\nNow, let's find out how many calories you have left for the day:\n\n2000 calorie target - 1800 calories already consumed = 200 calories remaining\n\nFinally, let's calculate how many grams of chips you can eat with the remaining calories:\n\n200 calories remaining / 250 calories per serving = 0.8 servings\n\nSince you can't eat a fraction of a serving, you can only eat 0.8 servings, which is equivalent to:\n\n0.8 servings * 25 grams per serving (assuming a typical serving size of 25 grams) = 20 grams\n\nTherefore, you can eat 20 grams of chips with the remaining calories for the day.\nThe answer is: 20", "answer": {"result": 20}}, "matches": false} +{"solution": {"solution": "To calculate Charlie's net profit from selling 20 beeswax candles, we follow these steps:\n\n1. Determine the cost per pound of beeswax and wicks. Charlie spends $10.00 on supplies for each pound of beeswax and wicks.\n\n2. Calculate the number of candles made from one pound of beeswax. Since one pound of beeswax allows him to make 10 tapered candles, we find that each candle costs:\n \\[\n \\frac{\\$10.00}{10 \\text{ candles}} = \\$1.00 \\text{ per candle}\n \\]\n\n3. Calculate Charlie's total costs for 20 candles. Since each candle costs $1.00 to make, the total cost for 20 candles is:\n \\[\n 20 \\text{ candles} \\times \\$1.00 \\text{ per candle} = \\$20.00\n \\]\n\n4. Calculate Charlie's total revenue from selling 20 candles. If he sells each candle for $2.00, his total revenue is:\n \\[\n 20 \\text{ candles} \\times \\$2.00 \\text{ per candle} = \\$40.00\n \\]\n\n5. Finally, to find Charlie's net profit, subtract his total costs from his total revenue:\n \\[\n \\$40.00 - \\$20.00 = \\$20.00\n \\]\n\nTherefore, Charlie's net profit from making and selling 20 beeswax candles is $\\boxed{\\$20.00}$.", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "Meredith wrote 5 articles on Monday, which took her 5 * 4 = 20 hours.\nOn Tuesday, she wrote 2/5 times more articles than on Monday, which is 2/5 * 5 = 2 more articles.\nSo, she wrote a total of 5 + 2 = 7 articles on Tuesday.\nThis took her 7 * 4 = 28 hours.\nOn Wednesday, she wrote twice the number of articles she wrote on Tuesday, which is 2 * 7 = 14 articles.\nThis took her 14 * 4 = 56 hours.\nIn total, Meredith spent 20 + 28 + 56 = 104 hours writing articles in the three days.\n#### 104\nThe answer is: 104", "answer": {"result": 104}}, "matches": true} +{"solution": {"solution": "Candice started with 80 Post-it notes in her purse and had 23 remaining after using 220 at work. \n\nFirst, let's find out how many Post-it notes she used in total:\n80 (initial) + 23 (remaining) = 103 Post-it notes used\n\nNow, let's subtract the number of Post-it notes she used from the total number of Post-it notes she had after purchasing additional ones:\n103 (used) + x (package purchased) = 220 (placed on cups)\n\nTo find x, we rearrange the equation:\nx = 220 - 103\nx = 117\n\nCandice purchased a package of $\\boxed{117}$ Post-it notes.", "answer": {"result": 117}}, "matches": false} +{"solution": {"solution": "John bought twice as many red ties as blue ties, so if he bought 10 blue ties, he bought 20 red ties.\n\nThe blue ties cost $40 each, and he spent $200 on them. To find out how many blue ties he bought, we divide the total amount spent by the cost per tie:\n\nNumber of blue ties = $200 / $40 per tie = 5 ties\n\nSince he bought twice as many red ties as blue ties, he bought:\n\nNumber of red ties = 5 ties * 2 = 10 ties\n\nThe red ties cost 50% more than the blue ties. To find the cost of one red tie, we first calculate 50% of the cost of one blue tie:\n\n50% of $40 = 0.50 * $40 = $20\n\nSo, each red tie costs:\n\n$40 (cost of blue tie) + $20 (50% more) = $60 per red tie\n\nNow, we can find out how much he spent on red ties:\n\nCost of red ties = 10 ties * $60 per tie = $600\n\nTo find the total amount spent on ties, we add the cost of blue ties and red ties:\n\nTotal spent on ties = Cost of blue ties + Cost of red ties\nTotal spent on ties = $200 + $600 = $800\n\nJohn spent $\\boxed{\\$800}$ on ties.", "answer": {"result": 800}}, "matches": true} +{"solution": {"solution": "First, we need to convert the length of the wire from feet to inches because the pieces are measured in inches. There are 12 inches in a foot.\n\n4 feet * 12 inches/foot = 48 inches\n\nNow, we need to divide the total length of the wire in inches by the length of each piece to find out how many pieces we can get.\n\n48 inches / 6 inches/piece = 8 pieces\n\nTracy obtained $\\boxed{8}$ pieces of wire.The answer is: 8", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total number of units in the building. There are 15 floors with 8 units each, so the total number of units is:\n\n15 floors * 8 units/floor = 120 units\n\nNext, we need to find out how many units are occupied. Since 3/4 of the building is occupied, we calculate:\n\n3/4 * 120 units = 90 units\n\nNow, to find the number of unoccupied units, we subtract the occupied units from the total number of units:\n\n120 units - 90 units = 30 units\n\nSo, there are $\\boxed{30}$ unoccupied units in the building.", "answer": {"result": 30}}, "matches": true} +{"solution": {"solution": "First, we need to find out how many dozen eggs Lloyd sells per day. Since there are 252 eggs produced per day and a dozen consists of 12 eggs, we divide the total number of eggs by the number of eggs in a dozen: \n\n252 eggs / 12 eggs per dozen = 21 dozen eggs per day\n\nNext, we calculate the daily earnings by multiplying the number of dozens sold by the price per dozen:\n\n21 dozen eggs * $2 per dozen = $42 per day\n\nFinally, to find the weekly earnings, we multiply the daily earnings by the number of days in a week (assuming 7 days):\n\n$42 per day * 7 days = $294 per week\n\nSo, Lloyd makes $294 on eggs per week.\n\nThe final answer is $294.\n\n294", "answer": {"result": 294}}, "matches": true} +{"solution": {"solution": "Tom sails from 1 to 4 PM, which is a total of 4 - 1 = 3 hours. \n\nAt a rate of 10 miles per hour, he would cover a distance of 10 miles/hour * 3 hours = 30 miles to reach point B.\n\nWhen he returns, he sails at a rate of 6 miles per hour. \n\nTo find out how long it takes him to get back, we use the formula:\n\nTime = Distance / Speed\n\nSo, the time it takes for him to return is 30 miles / 6 miles per hour = 5 hours.\n\nTherefore, it takes him $\\boxed{5}$ hours to get back.", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "\n\nTo solve this problem, let's break it down step by step:\n\n1. **Calculate the weight of the comic books Uriah removes:**\n\n Uriah removes 30 comic books, and each comic book weighs $1/4$ of a pound. Therefore, the total weight of the comic books he removes is calculated as follows:\n \\[\n 30 \\times \\frac{1}{4} = 7.5 \\text{ pounds}\n \\]\n\n2. **Determine the remaining weight Uriah needs to reduce:**\n\n Uriah initially needs to reduce the weight of his book bag by 15 pounds. After removing the comic books, the remaining weight he needs to reduce is:\n \\[\n 15 - 7.5 = 7.5 \\text{ pounds}\n \\]\n\n3. **Calculate the weight of the toys Uriah removes:**\n\n Each toy weighs $1/2$ of a pound. To find out how many toys Uriah needs to remove to reduce the weight by 7.5 pounds, we divide the remaining weight by the weight of each toy:\n \\[\n 7.5 \\div \\frac{1}{2} = 7.5 \\times 2 = 15 \\text{ toys}\n \\]\n\nTherefore, Uriah needs to remove $\\boxed{15}$ toys to reduce the weight of his book bag to 15 pounds.", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "On Thursday, the mechanic repairs 6 truck tires, so the revenue from truck tires is 6 * $60 = $360.\nThe mechanic also repairs 4 car tires, so the revenue from car tires is 4 * $40 = $160.\nThe total revenue for Thursday is $360 + $160 = $520.\nOn Friday, the mechanic repairs 12 car tires, so the revenue from car tires is 12 * $40 = $480.\nSince the mechanic doesn't repair any truck tires on Friday, there is no revenue from truck tires for that day.\nThe total revenue for Friday is $480.\nTo find the difference in revenue between the two days, we subtract the revenue from Thursday from the revenue from Friday: $480 - $520 = -$40.\nThe mechanic earned $40 less on Friday than on Thursday.\n#### 40\nThe answer is: 40", "answer": {"result": -40}}, "matches": false} +{"solution": {"solution": "Patchy has had thrice the number of adopted kittens, so Patchy has 7 x 3 = 21 kittens.\nTrixie has had 12 kittens.\nSo in total, the Doubtfire family now has 21 + 12 + 7 = 40 kittens.\n#### 40\nThe answer is: 40", "answer": {"result": 40}}, "matches": true} +{"solution": {"solution": "After Jean eats 2 lollipops, she has 30 - 2 = 28 lollipops left.\nJean wants to package 2 lollipops in one bag, so she can fill 28 / 2 = 14 bags.\n#### 14\nThe answer is: 14", "answer": {"result": 14}}, "matches": true} +{"solution": {"solution": "Peter plans to go to the movies this week. He always gets a ticket for $7 and popcorn for $7.\nSo, for each trip to the movies, Peter spends $7 + $7 = $14.\nIf he has $42 for the week, he can go to the movies $42 / $14 = 3 times.\n#### 3\nThe answer is: 3", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "\n1. **Calculate the weight of the driver and the empty truck combined:**\n \\[\n \\text{Weight of driver and empty truck} = 3755 \\text{ pounds}\n \\]\n\n2. **Determine the maximum weight the bridge can carry:**\n \\[\n \\text{Bridge weight limit} = 5000 \\text{ pounds}\n \\]\n\n3. **Calculate the total weight the bridge can carry including the driver and truck:**\n \\[\n \\text{Total weight the bridge can carry} = 5000 \\text{ pounds} - 3755 \\text{ pounds} = 1245 \\text{ pounds}\n \\]\n\n4. **Calculate the weight of one box:**\n \\[\n \\text{Weight of one box} = 15 \\text{ pounds}\n \\]\n\n5. **Determine the maximum number of boxes that can be loaded onto the truck without exceeding the bridge's weight limit:**\n \\[\n \\text{Maximum number of boxes} = \\frac{1245 \\text{ pounds}}{15 \\text{ pounds per box}} = 83 \\text{ boxes}\n \\]\n\n### Conclusion:\nThe maximum number of boxes which can be loaded onto the truck while not exceeding the bridge's weight limit is:\n\\[\n\\boxed{83}\n\\]", "answer": {"result": 83}}, "matches": true} +{"solution": {"solution": "Stephen's final bill for the groceries was $40.00. \n\nThe delivery vendor added a 25% fee to the final total. To calculate this fee, we multiply the total by 25% (or 0.25):\n\n25% of $40.00 = $40.00 * 0.25 = $10.00\n\nSo, the delivery fee added to the groceries is $10.00.\n\nThe delivery vendor also charged $3.00 in delivery fees, which is a separate charge from the 25% fee.\n\nStephen added a $4.00 tip.\n\nNow, let's add up all the fees and the tip to the original grocery bill:\n\nGroceries: $40.00\nDelivery fee: $10.00\nDelivery charge: $3.00\nTip: $4.00\n\nTotal additional charges = $10.00 + $3.00 + $4.00 = $17.00\n\nAdding the total additional charges to the original grocery bill gives us the final price:\n\nFinal price = Groceries + Total additional charges\nFinal price = $40.00 + $17.00\nFinal price = $57.00\n\nTherefore, the final price of Stephen's groceries, after all the fees and the tip, is $\\boxed{\\$57.00}$ .", "answer": {"result": 57}}, "matches": true} +{"solution": {"solution": "There are 6 clusters of 20 fruit each, so there are 6 x 20 = 120 fruit in the clusters. \n\nIn addition to the clusters, there are 67 individual fruit scattered across the bush. \n\nTherefore, the total number of raspberries is 120 + 67 = 187. \n\n#### 187\nThe answer is: 187", "answer": {"result": 187}}, "matches": true} +{"solution": {"solution": "\n1. **Identify the number of bad, unripe, and sour oranges.** \n - The problem states that there is 1 bad orange.\n - It also states that 20% of the oranges are unripe. Since there are 25 oranges in total, the number of unripe oranges is:\n \\[\n 20\\% \\times 25 = 0.20 \\times 25 = 5 \\text{ oranges}\n \\]\n - There are 2 sour oranges.\n\n2. **Calculate the number of good oranges.** \n - The total number of oranges in the basket is 25.\n - We have identified 1 bad, 5 unripe, and 2 sour oranges. Therefore, the number of good oranges is:\n \\[\n 25 - 1 - 5 - 2 = 17 \\text{ oranges}\n \\]\n\n3. **Conclusion.** \n - There are 17 good oranges in the basket.\n\n\\[\n\\boxed{17}\n\\]", "answer": {"result": 17}}, "matches": true} +{"solution": {"solution": "Janet pays $500 for the material and $800 for the jeweler, so the total cost before insurance is $500 + $800 = $1300. \n\nTo calculate the insurance cost, she pays 10% of the total cost before insurance, which is 10/100 * $1300 = $130. \n\nTherefore, the total amount Janet pays, including insurance, is $1300 (material and construction) + $130 (insurance) = $1430. \n\nJanet paid a total of $\\boxed{\\$1430}$ .", "answer": {"result": 1430}}, "matches": true} +{"solution": {"solution": "\nTo calculate Marcy's annual pension after quitting after 30 years, we need to consider the two components of her pension plan.\n\n1. The initial pension amount: \n Marcy gets an annual pension of $50,000/year for 20 years. Therefore, the total amount she receives for the first 20 years is:\n \\[\n 20 \\text{ years} \\times \\$50,000/\\text{year} = \\$1,000,000\n \\]\n\n2. The additional pension component starting after 20 years:\n After 20 years, Marcy becomes entitled to 5% of the value of the pension per year. Since we calculated that the total amount for the first 20 years is $1,000,000, the value for calculating the additional pension is also $1,000,000. The additional pension rate is 5%, so we calculate:\n \\[\n \\text{Additional pension} = 0.05 \\times \\$1,000,000 = \\$50,000/\\text{year}\n \\]\n\n3. Total annual pension after 30 years:\n Since Marcy quits after 30 years, she will continue to receive the additional pension for the remaining 10 years (30 years - 20 years). Therefore, the total annual pension for the additional 10 years is:\n \\[\n 10 \\text{ years} \\times \\$50,000/\\text{year} = \\$500,000\n \\]\n\n4. Adding both components to find the total annual pension after 30 years:\n \\[\n \\$500,000 + \\$1,000,000 = \\$1,500,000\n \\]\n\nTherefore, Marcy's annual pension after quitting after 30 years is:\n\\[\n\\boxed{\\$1,500,000}\n\\]", "answer": {"result": 1500000}}, "matches": false} +{"solution": {"solution": "1. Calculate the monthly charge:\n \\[\n \\text{Monthly charge} = \\$140\n \\]\n\n2. Total months in a year:\n \\[\n \\text{Total months} = 12\n \\]\n\n3. Calculate the first half of the year (6 months):\n \\[\n \\text{Cost for first half} = 6 \\times \\$140 = \\$840\n \\]\n\n4. Calculate the discounted rate for the second half of the year (10% less):\n \\[\n \\text{Discount} = 10\\% \\times \\$140 = \\$14\n \\]\n \\[\n \\text{Discounted monthly rate} = \\$140 - \\$14 = \\$126\n \\]\n\n5. Calculate the cost for the second half of the year (6 months):\n \\[\n \\text{Cost for second half} = 6 \\times \\$126 = \\$756\n \\]\n\n6. Total amount paid for the year:\n \\[\n \\text{Total amount} = \\$840 + \\$756 = \\$1596\n \\]\n\n7. Conclusion:\n \\[\n \\boxed{\\$1596}\n \\]", "answer": {"result": 1596}}, "matches": true} +{"solution": {"solution": "To find out how many miles Sophia can drive on a single tank of gas, we start by calculating the miles per gallon (mpg) her car achieves based on the information given. She has already driven 100 miles on 4 gallons of gas. \n\nFirst, we calculate the miles per gallon:\n\\[ \\text{Miles per gallon} = \\frac{\\text{Miles driven}}{\\text{Gallons used}} = \\frac{100 \\, \\text{miles}}{4 \\, \\text{gallons}} = 25 \\, \\text{miles per gallon} \\]\n\nNext, to find out how many miles she can drive on a full tank, we multiply the mpg by the total capacity of her tank:\n\\[ \\text{Total miles on a full tank} = \\text{Miles per gallon} \\times \\text{Tank capacity} = 25 \\, \\text{miles per gallon} \\times 12 \\, \\text{gallons} = 300 \\, \\text{miles} \\]\n\nTherefore, Sophia can drive $\\boxed{300}$ miles on a single tank of gas.", "answer": {"result": 300}}, "matches": true} +{"solution": {"solution": "Jim spends 2 hours watching TV each day. \n\nIn a week, he watches TV for 2 hours/day * 3 days/week = 6 hours.\n\nHe reads for half as long as he watches TV each day, so he reads for 2 hours / 2 = 1 hour each day.\n\nIn a week, he reads for 1 hour/day * 3 days/week = 3 hours.\n\nIn one week, Jim spends a total of 6 hours (TV) + 3 hours (reading) = 9 hours on TV and reading.\n\nOver 4 weeks, he spends 9 hours/week * 4 weeks = $\\boxed{36}$ hours on TV and reading.", "answer": {"result": 36}}, "matches": true} +{"solution": {"solution": "Each school has sent:\n\n- 5 girls' basketball players\n- 5 boys' basketball players\n- 1 coach for the girls' team\n- 1 coach for the boys' team\n\nThat's 5 + 5 + 1 + 1 = 12 people per school.\n\nSince there are four schools, the total number of people sent by all schools is:\n\n12 people/school * 4 schools = 48 people\n\nSo, the total number of people sent by all schools is $\\boxed{48}$ .", "answer": {"result": 48}}, "matches": true} +{"solution": {"solution": "The treasure hunter found 175 diamonds in the treasure chest. \n\nThe number of rubies is 35 fewer than the number of diamonds, so there are 175 - 35 = 140 rubies.\n\nThe number of emeralds is twice the number of rubies, so there are 140 * 2 = 280 emeralds.\n\nTo find the total number of gems, we add the number of diamonds, rubies, and emeralds together:\n\n175 diamonds + 140 rubies + 280 emeralds = 595 gems.\n\nTherefore, there were $\\boxed{595}$ gems in the treasure chest.", "answer": {"result": 595}}, "matches": true} +{"solution": {"solution": "To solve the problem, we follow these steps:\n\n1. First, we find the number of boys at the school. Given that there are twice as many boys as girls and there are 60 girls, the number of boys is calculated as:\n\\[ \\text{Number of boys} = 60 \\times 2 = 120 \\]\n\n2. Next, we determine the total number of students by adding the number of girls and boys:\n\\[ \\text{Total students} = 60 + 120 = 180 \\]\n\n3. We are told that there are 5 students for every teacher. To find the number of teachers, we divide the total number of students by the number of students per teacher:\n\\[ \\text{Number of teachers} = \\frac{180}{5} = 36 \\]\n\nTherefore, the number of teachers at Dr. Wertz's school is $\\boxed{36}$.", "answer": {"result": 36}}, "matches": true} +{"solution": {"solution": "Bailey receives a weekly allowance of $5 for 8 weeks, so she receives a total of 5 * 8 = $40 in allowance.\nAt the end of the 8 weeks, Bailey has a total of $100, including her initial amount of money and the allowance she received.\nTo find out how much money Bailey started with, we need to subtract the allowance from the total amount she has.\nSo, Bailey started with $100 - $40 = $60.\n#### 60\nThe answer is: 60", "answer": {"result": 60}}, "matches": true} +{"solution": {"solution": "Judy teaches 5 dance classes every day on the weekdays, so she teaches 5 x 5 = 25 classes on weekdays.\n\nOn Saturday, she teaches 8 classes.\n\nIn total, she teaches 25 + 8 = 33 classes in a week.\n\nEach class has 15 students, so she has 33 x 15 = 495 students in total.\n\nShe charges $15.00 per student, so she makes 495 x $15.00 = $7425.00 in a week.\n\nTherefore, Judy makes $7425.00 in a week. \n\n#### 7425\nThe answer is: 7425", "answer": {"result": 7425}}, "matches": true} +{"solution": {"solution": "The first recipe has 20 instructions.\nThe second recipe has twice as many instructions as the first one, so it has 20 * 2 = 40 instructions.\nTo prepare both dishes, Kelian needs to read 20 + 40 = 60 instructions.\n#### 60\nThe answer is: 60", "answer": {"result": 60}}, "matches": true} +{"solution": {"solution": "Tommy sells 43 brownies for $3 each, so he raises 43 * $3 = $129 from the brownies. \n\nTommy also sells 23 slices of cheesecake for $4 each, so he raises 23 * $4 = $92 from the cheesecakes. \n\nIn total, Tommy raises $129 + $92 = $221. \n\n#### 221\nThe answer is: 221", "answer": {"result": 221}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total cost of the five cell phones including the 2% interest for each unit.\n\nThe cost of one cell phone without interest is $150.\n\nThe interest for one cell phone is 2% of $150:\nInterest per phone = 2/100 * $150 = $3\n\nSo, the total cost of one cell phone with interest is:\nTotal cost per phone = $150 + $3 = $153\n\nThe total cost for five cell phones with interest is:\nTotal cost for five phones = 5 * $153 = $765\n\nNow, Shiela will pay this total cost over 3 months. To find out how much she will pay each month, we divide the total cost by 3:\n\nMonthly payment = $765 / 3 = $255\n\nShiela will pay $\\boxed{\\$255}$ each month for 3 months.", "answer": {"result": 255}}, "matches": true} +{"solution": {"solution": "\n\n1. **Calculate the number of dollars for each type of flower**:\n - Marigolds: $12 \\text{ pots} \\times \\$2.74/\\text{pot} = \\$32.88$\n - Petunias: $9 \\text{ pots} \\times \\$1.87/\\text{pot} = \\$16.83$\n - Begonias: $17 \\text{ pots} \\times \\$2.12/\\text{pot} = \\$35.94$\n\n2. **Round each total to the nearest dollar**:\n - Marigolds: Rounded to $\\$33.00$\n - Petunias: Rounded to $\\$17.00$\n - Begonias: Rounded to $\\$36.00$\n\n3. **Calculate the total revenue**:\n \\[\n \\$33.00 + \\$17.00 + \\$36.00 = \\$86.00\n \\]\n\n### Conclusion:\n\nArtie will make $\\boxed{\\$86.00}$.\n\nAnswer: 86.00", "answer": {"result": 86.0}}, "matches": false} +{"solution": {"solution": "To find the average square footage of each level of the sandcastle, we follow these steps:\n\n1. **Calculate the square footage for each level**:\n - Level 4: Given as $16$ square feet.\n - Level 3: Half the area of Level 4, which is $\\frac{16}{2} = 8$ square feet.\n - Level 2: Half the area of Level 3, which is $\\frac{8}{2} = 4$ square feet.\n - Level 1: Half the area of Level 2, which is $\\frac{4}{2} = 2$ square feet.\n\n2. **Sum the square footage of all levels**:\n - Total square footage = $16 + 8 + 4 + 2 = 30$ square feet.\n\n3. **Calculate the average square footage**:\n - Average square footage = Total square footage / Number of levels = $30 / 4 = 7.5$ square feet.\n\nTherefore, the average square footage of a level in the sandcastle is $\\boxed{7.5}$ square feet.", "answer": {"result": 7.5}}, "matches": false} +{"solution": {"solution": "\n\nIn the first 180 days, Cecilia will need 1 cup of dog food every day, so she will use 180 cups in total. \n\nAfter the first 180 days, she will need to feed the puppy 2 cups of dog food every day for the rest of its life. \n\nAssuming there are 365 days in a year, she will need 2 cups of dog food per day for 365 - 180 = 185 days in the first year. \n\nSo, she will use 2 cups of dog food every day for 185 days, which is a total of 185 * 2 = 370 cups in the first year. \n\nIn total, Cecilia will use 180 + 370 = 550 cups of dog food in the first year. \n\nSince one bag of dog food contains 110 cups, she will need 550 / 110 = 5 bags of dog food in the first year. \n\nTherefore, Cecilia will use 5 bags of dog food in the first year. \n\nAnswer: \\boxed{5}\n\n.", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "If Sarah does 400 pounds of laundry, and Sarah does 4 times as much laundry as David, then David does 400/4 = 100 pounds of laundry.\n\nIf Raymond does half as much laundry as Sarah, then Raymond does 400/2 = 200 pounds of laundry.\n\nThe difference in the amount of laundry Raymond and David do is 200 - 100 = $\\boxed{100}$ pounds.\nThe answer is: 100", "answer": {"result": 100}}, "matches": true} +{"solution": {"solution": "To determine the better price per flower, we compare the cost per flower for each package size.\n\nFor the 3-flower package, the cost per flower is $2.50 / 3 = $0.8333 (repeating).\n\nFor the 2-flower package, the cost per flower is $1 / 2 = $0.50.\n\nSince $0.50 is less than $0.8333, the 2-flower package is the better deal.\n\nTo find out how much Vincent saves by buying 18 flowers at the better price, we first determine how many packages of 2 flowers he would need to buy.\n\n18 flowers / 2 flowers per package = 9 packages\n\nThe total cost for the 2-flower packages is 9 packages * $1 per package = $9.\n\nIf Vincent were to buy the 3-flower packages instead, the total cost would be:\n\n18 flowers / 3 flowers per package = 6 packages\n\nThe total cost for the 3-flower packages would be 6 packages * $2.50 per package = $15.\n\nThe savings by choosing the better price is the difference between the two costs:\n\n$15 - $9 = $6.\n\nSo, Vincent saves $6 by buying 18 flowers at the better price.\n\nAnswer: $6", "answer": {"result": 6}}, "matches": true} +{"solution": {"solution": "To calculate the discount John receives, we take 30% of the original cost of grooming, which is $100. \n\n- Discount amount = $100 \\times 0.30 = $30\n\nAfter applying the discount, the cost of grooming for John is calculated as follows:\n\n- Grooming cost after discount = Original cost - Discount amount = $100 - $30 = $70\n\nTherefore, the grooming costs John $\\boxed{70}$ after the discount.", "answer": {"result": 70}}, "matches": true} +{"solution": {"solution": "Two girls each got 1/6 of 24 liters of water, so they each got:\n\n1/6 * 24 = 4 liters\n\nSince there are two girls, they got a total of:\n\n4 liters/girl * 2 girls = 8 liters\n\nThen a boy got 6 liters of water. So in total, the girls and the boy got:\n\n8 liters (girls) + 6 liters (boy) = 14 liters\n\nThe initial amount of water was 24 liters, so the amount left after the girls and the boy got their share is:\n\n24 liters - 14 liters = 10 liters\n\nTherefore, there were $\\boxed{10}$ liters of water left.", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "Charlie started with 10 stickers. \n\nAfter buying more stickers, he had: 10 + 21 = 31 stickers.\n\nAfter receiving stickers for his birthday, he had: 31 + 23 = 54 stickers.\n\nAfter giving 9 stickers to his sister, he had: 54 - 9 = 45 stickers.\n\nAfter using 28 stickers to decorate a greeting card, he had: 45 - 28 = 17 stickers left. \n\nSo, Charlie has $\\boxed{17}$ stickers left.", "answer": {"result": 17}}, "matches": true} +{"solution": {"solution": "First, let's find out how much Alex weighs. \n\n4 times what Grace weighs is 4 * 125 = 500 pounds. \n\nAlex weighs 2 pounds less than that, so Alex weighs 500 - 2 = 498 pounds.\n\nNow, let's find their combined weight. \n\nGrace's weight is 125 pounds, and Alex's weight is 498 pounds. \n\nTogether, they weigh 125 + 498 = $\\boxed{623}$ pounds.", "answer": {"result": 623}}, "matches": true} +{"solution": {"solution": "Dan plants 3 rose bushes, so he has 3 x 25 = 75 roses in total.\nEach rose has 8 thorns, so there are 75 x 8 = 600 thorns in total.\n#### 600\nThe answer is: 600", "answer": {"result": 600}}, "matches": true} +{"solution": {"solution": "Let's denote the number of games the football team lost as L and the number of games they won as W. According to the problem, the team won 8 more games than they lost, so we can express this relationship as:\n\nW = L + 8\n\nWe also know that the total number of games played is 22, so:\n\nW + L = 22\n\nNow we can substitute the first equation into the second equation:\n\n(L + 8) + L = 22\n\nCombine like terms:\n\n2L + 8 = 22\n\nSubtract 8 from both sides:\n\n2L = 14\n\nDivide both sides by 2:\n\nL = 7\n\nNow that we know the team lost 7 games, we can find out how many games they won by using the first equation:\n\nW = L + 8\nW = 7 + 8\nW = 15\n\nThe football team won $\\boxed{15}$ games.", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "1. **Calculate the number of years Gene has been vacationing:**\n Gene is currently 34 years old and started vacationing at 23. The number of years is:\n \\[\n 34 - 23 = 11 \\text{ years}\n \\]\n\n2. **Determine the number of vacations per year:**\n Gene takes four vacations per year.\n\n3. **Calculate the total number of vacations:**\n Multiply the number of years by the number of vacations per year:\n \\[\n 4 \\text{ vacations/year} \\times 11 \\text{ years} = 44 \\text{ vacations}\n \\]\n\n4. **Recognize each vacation corresponds to one quilt block:**\n Each vacation yields one quilt block. Therefore, the total number of quilt blocks is equal to the total number of vacations.\n\n5. **Conclusion:**\n The total number of quilt blocks Gene has is:\n \\[\n \\boxed{44}\n \\]", "answer": {"result": 44}}, "matches": true} +{"solution": {"solution": "The first time the alarm rang, it rang for 4 times. \nThe second time the alarm rang, it rang for 3 times as long as the first time, so it rang for 3 * 4 = 12 times.\nThe third time the alarm rang, it rang for half as long as the second time, so it rang for 12 / 2 = 6 times.\nIn total, the alarm rang 4 + 12 + 6 = 22 times.\n#### 22\nThe answer is: 22", "answer": {"result": 22}}, "matches": true} +{"solution": {"solution": "Sylvie's initial salary is $600. After five years, she receives a 10% increase, so her new salary becomes $600 + (10% of $600) = $600 + $60 = $660. \n\nIf she continues to work for three more years, she will receive another 10% increase on her salary after the first year of receiving the 10% increase. \n\nSo, after the first year of the 10% increase, her salary becomes $660 + (10% of $660) = $660 + $66 = $726. \n\nAfter three more years, she will receive another 10% increase on her salary after the first year of the second 10% increase. \n\nSo, after three more years, her salary becomes $726 + (10% of $726) = $726 + $72.60 = $798.60. \n\nRounded to the nearest dollar, Sylvie's annual salary after three more years of service will be $799. \n\n#### 799\nThe answer is: 799", "answer": {"result": 799}}, "matches": false} +{"solution": {"solution": "Let's denote the number of records Harald sold as H. According to the problem, Marilyn's first record sold 10 times as many copies as Harald's, so Marilyn sold 10H records.\n\nThe total number of records sold by both Marilyn and Harald is 88,000. Therefore, we can set up the following equation:\n\nH (Harald's sales) + 10H (Marilyn's sales) = 88,000\n\nCombining like terms, we get:\n\n11H = 88,000\n\nTo find the value of H, we divide both sides of the equation by 11:\n\nH = 88,000 / 11\n\nH = 8,000\n\nTherefore, Harald sold $\\boxed{8,000}$ records.The answer is: 8,000", "answer": {"result": 8000}}, "matches": true} +{"solution": {"solution": "Christina invited 16 friends and expects 1/4 of them not to show up. So, the number of friends who will show up is:\n\n16 friends - (1/4 * 16 friends) = 16 friends - 4 friends = 12 friends\n\nShe needs .75 gift bags per invited guest, so for 12 friends, she will need:\n\n12 friends * .75 gift bags/friend = 9 gift bags\n\nEach gift bag costs $2, so the total cost for 9 gift bags will be:\n\n9 gift bags * $2/gift bag = $18\n\nChristina will spend $\\boxed{\\$18}$ on gift bags for her birthday party.", "answer": {"result": 18}}, "matches": false} +{"solution": {"solution": "To solve this problem, we start by calculating the amount of potato salad one child will eat. Since a child eats half as much as an adult, and an adult eats 10 lbs of potato salad, we can calculate the child's portion as follows:\n\n- For adults: $10$ lbs of potato salad.\n- For children: $10 \\, \\text{lbs} \\div 2 = 5 \\, \\text{lbs}$.\n\nNext, we need to find out how much potato salad is needed for all the adults and children combined. There are 20 adults and 5 children, so we calculate the total amount needed as:\n\n- Total for adults: $20 \\, \\text{adults} \\times 10 \\, \\text{lbs/adult} = 200 \\, \\text{lbs}$.\n- Total for children: $5 \\, \\text{children} \\times 5 \\, \\text{lbs/child} = 25 \\, \\text{lbs}$.\n\nAdding these amounts together gives us the total amount of potato salad needed for the picnic:\n\n- Total potato salad needed: $200 \\, \\text{lbs} + 25 \\, \\text{lbs} = 225 \\, \\text{lbs}$.\n\nTherefore, Ted the T-Rex needs to bring $\\boxed{225}$ pounds of potato salad to the picnic to ensure there is enough to feed everyone.", "answer": {"result": 225}}, "matches": true} +{"solution": {"solution": "If Cindy has four pets and Marcia has two more pets than Cindy, then Marcia has:\n\n4 (Cindy's pets) + 2 = 6 pets\n\nJan has three times the number of pets as Marcia, so Jan has:\n\n3 (Marcia's pets) * 3 = 9 pets\n\nTo find the total number of pets the three have, we add up the pets of each:\n\nCindy's pets + Marcia's pets + Jan's pets\n4 + 6 + 9 = 19 pets\n\nThe three of them together have $\\boxed{19}$ pets.", "answer": {"result": 19}}, "matches": false} +{"solution": {"solution": "Let's start by figuring out Corey's age. We know that James is 10 years old and is 1 year younger than Corey. Therefore, Corey's age is 10 + 1 = 11 years old. \n\nNow, we know that Amy is 2 years younger than Corey. So, Amy's age is 11 - 2 = 9 years old.\n\nWe also know that Amy is 5 years older than Jackson. Therefore, Jackson's age is 9 - 5 = 4 years old.\n\nSo, Jackson is 4 years old. \n\nThe final answer is $\\boxed{4}$ years old.\n\nAnswer: The final answer is 4 years old.", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "If Lee can run the 400-meter hurdles in 38 seconds, and Lee used to be able to run it two seconds faster than Gerald, then Gerald's original time would be 38 + 2 = 40 seconds.\n\nWith the improvement of his diet, Gerald's speed increased by 10%. To find out how much time this 10% improvement corresponds to, we calculate 10% of 40 seconds:\n\n10% of 40 seconds = 0.10 * 40 = 4 seconds.\n\nNow we add this improvement to Gerald's original time to find his new time:\n\n40 seconds + 4 seconds = 44 seconds.\n\nSo, with his improved diet, Gerald can run the 400-meter hurdles in $\\boxed{44}$ seconds.", "answer": {"result": 44}}, "matches": false} +{"solution": {"solution": "If there are 60 dogs, and there are two cats for every dog, then there are 60 * 2 = 120 cats.\n\nThe combined number of pet dogs and cats is 60 + 120 = 180.\n\nThe number of rabbits pets is twelve less than the combined number of pet dogs and cats, so there are 180 - 12 = 168 rabbits.\n\nTherefore, the total number of pets in the neighborhood is 60 dogs + 120 cats + 168 rabbits = $\\boxed{348}$ pets.The answer is: 348", "answer": {"result": 348}}, "matches": true} +{"solution": {"solution": "First, let's find out how many boys there are in Grade 5. Since 2/5 of the 200 students are boys, we calculate:\n\nNumber of boys = (2/5) * 200 = 80 boys\n\nNow, let's find out how many girls there are. Since there are 200 students in total and 80 of them are boys, the number of girls is:\n\nNumber of girls = Total students - Number of boys\nNumber of girls = 200 - 80 = 120 girls\n\nNext, we need to find out how many girls are in the girl scout. Since 2/3 of the girls are in the girl scout, we calculate:\n\nNumber of girls in girl scout = (2/3) * 120 = 80 girls\n\nFinally, to find out how many girls are not in the girl scout, we subtract the number of girls in the girl scout from the total number of girls:\n\nNumber of girls not in girl scout = Total number of girls - Number of girls in girl scout\nNumber of girls not in girl scout = 120 - 80 = 40 girls\n\nSo, there are $\\boxed{40}$ girls who are not in the girl scout.", "answer": {"result": 40}}, "matches": true} +{"solution": {"solution": "James slept 2/3 of what Harry slept, so he slept 2/3 * 9 hours = 6 hours. \n\nTo find out how many more hours Harry slept than James, we subtract James's sleep time from Harry's sleep time: 9 hours - 6 hours = 3 hours. \n\nHarry slept $\\boxed{3}$ more hours than James.", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "1. **Determine the amount of tomatoes before cooking**:\n - Freda's final sauce was 32 ounces.\n - Each 16-ounce can of tomatoes loses half its volume when cooked.\n - Therefore, the amount of tomatoes before cooking is:\n \\[\n 32 \\text{ ounces} \\times 2 = 64 \\text{ ounces}\n \\]\n\n2. **Calculate the number of cans used**:\n - Each can contains 16 ounces of tomatoes.\n - To find the number of cans used, divide the total pre-cooking volume by the volume in each can:\n \\[\n \\frac{64 \\text{ ounces}}{16 \\text{ ounces per can}} = 4 \\text{ cans}\n \\]\n\n3. **Determine the number of tomatoes used**:\n - Each can contains three tomatoes.\n - Therefore, the total number of tomatoes used is:\n \\[\n 4 \\text{ cans} \\times 3 \\text{ tomatoes per can} = 12 \\text{ tomatoes}\n \\]\n\n4. **Conclusion**:\n - Freda used 12 tomatoes to make 32 ounces of sauce.\n\n \\[\n \\boxed{12}\n \\]", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "Let's denote the number of cars that drove through the traffic jam in the first 15 minutes as X. \n\nAfter the first 15 minutes, there were 30 - X - 5 = 25 - X cars left in line.\n\nIn the remaining 15 minutes of the traffic jam, 20 more cars drove through.\n\nSo, the equation representing the situation is:\n\n25 - X + 20 = 25\n\nSimplifying the equation:\n\n45 - X = 25\n\nTo find X, we subtract 25 from both sides:\n\n45 - 25 = X\n\nX = 20\n\nTherefore, $\\boxed{20}$ cars drove through the traffic jam in the first 15 minutes.", "answer": {"result": 20}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total number of potted plants Mary currently has on the window ledges. She has 2 potted plants on each of the 40 ledges, so she has:\n\n2 potted plants/ledge * 40 ledges = 80 potted plants\n\nMary received 18 new potted plants from the nursery, so she now has:\n\n80 potted plants + 18 new potted plants = 98 potted plants\n\nMary plans to give away 1 potted plant from each of the 40 ledges, so she will give away:\n\n1 potted plant/ledge * 40 ledges = 40 potted plants\n\nTo find out how many potted plants Mary will remain with, we subtract the number of potted plants she is giving away from her total:\n\n98 potted plants - 40 potted plants = 58 potted plants\n\nMary will remain with $\\boxed{58}$ potted plants after giving away the gifts.", "answer": {"result": 58}}, "matches": true} +{"solution": {"solution": "\nThe first friend pressed on the doorbell 20 times. \nThe second friend pressed on the doorbell 1/4 times more than the first friend, which is 20 + (1/4 * 20) = 20 + 5 = 25 times. \nThe third friend pressed on the doorbell 10 times more than the fourth friend, so the third friend pressed 60 + 10 = 70 times. \nThe fourth friend pressed on the doorbell 60 times. \nIn total, the doorbell made 20 + 25 + 70 + 60 = 175 rings. \n#### 175\nThe answer is: 175", "answer": {"result": 175}}, "matches": true} +{"solution": {"solution": "Solo has to read a total of 4 + 20 + 7 + 8 = 39 pages.\nHe has read 15 pages on Monday, so he still needs to read 39 - 15 = 24 pages.\nHe has 4 more days to complete his reading, so he needs to read 24 pages / 4 days = 6 pages per day, on average.\n#### 6\nThe answer is: 6", "answer": {"result": 6}}, "matches": true} +{"solution": {"solution": "John drinks a glass of water with each of his 3 meals (breakfast, lunch, and dinner) every weekday. \n\nHe also has a glass of water before bedtime, which means he has 4 glasses of water per day on weekdays.\n\nThere are 5 weekdays in a week, so the total number of glasses of water he drinks on weekdays is:\n4 glasses/day * 5 days/week = 20 glasses/week\n\nOn the weekends, he only has a soda with dinner, so he doesn't drink water with his meals. However, he still has a glass of water before bedtime on each of the 2 weekend days.\n\nSo, the number of glasses of water he drinks on the weekends is:\n1 glass/day * 2 days/weekend = 2 glasses/weekend\n\nAdding the weekday and weekend consumption together gives us the total number of glasses of water John drinks in a week:\n20 glasses/week + 2 glasses/weekend = 22 glasses/week\n\nTherefore, John drinks $\\boxed{22}$ glasses of water in a week.", "answer": {"result": 22}}, "matches": false} +{"solution": {"solution": "To solve the problem, we first determine how many 3-mile segments are in the city. Since the city is 42 miles across and the fog covers 3 miles every 10 minutes, we calculate the number of segments as follows:\n\n- First, find out how many 3-mile segments fit into 42 miles:\n\\[ \\text{Number of segments} = \\frac{\\text{City width}}{\\text{Distance covered per segment}} = \\frac{42 \\text{ miles}}{3 \\text{ miles/segment}} = 14 \\text{ segments} \\]\n\n- Given that it takes 10 minutes to cover each segment, we calculate the total time by multiplying the number of segments by the time per segment:\n\\[ \\text{Total time} = 14 \\text{ segments} \\times 10 \\text{ minutes/segment} = 140 \\text{ minutes} \\]\n\nTherefore, it will take $\\boxed{140}$ minutes for the fog bank to cover the entire city.", "answer": {"result": 140}}, "matches": true} +{"solution": {"solution": "Poppy places 1000 * 1/4 = 250 pieces on the board.\n\nThen, the remaining pieces are 1000 - 250 = 750 pieces.\n\nHer mom places 750 * 1/3 = 250 pieces on the board.\n\nThe number of pieces left to be placed is 750 - 250 = 500 pieces.\n\nThe answer is 500", "answer": {"result": 500}}, "matches": true} +{"solution": {"solution": "If Amir eats 5 cookies, then Cody eats 3 times as many cookies, which is 3 * 5 = 15 cookies.\nTogether, they eat 5 + 15 = 20 cookies.\n#### 20\nThe answer is: 20", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "First, let's calculate the dimensions of each box after accounting for the thickness of the walls.\n\nThe length of the box is 6 inches, but since the walls are 1 inch thick, the inner length is 6 - 2 = 4 inches.\nSimilarly, the width of the box is 5 inches, but with walls, the inner width is 5 - 2 = 3 inches.\nThe height of the box is 4 inches, and since the walls are on the top and bottom as well, the inner height remains 4 inches.\n\nNow, let's calculate the volume of one box:\nVolume of one box = inner length \u00d7 inner width \u00d7 inner height\nVolume of one box = 4 inches \u00d7 3 inches \u00d7 4 inches\nVolume of one box = 16 inches^3\n\nJohn has 3 boxes, so the total inner volume of all 3 boxes is:\nTotal inner volume = 3 \u00d7 Volume of one box\nTotal inner volume = 3 \u00d7 16 inches^3\nTotal inner volume = 48 inches^3\n\nThe total inner volume of all 3 boxes is $\\boxed{48}$ cubic inches.The answer is: 48", "answer": {"result": 48}}, "matches": false} +{"solution": {"solution": "Let's calculate the total time Frankie spent watching TV from Monday to Friday:\n\n- On Monday, he watched 1 hour.\n- On Tuesday, he watched 1 hour.\n- On Wednesday, he watched a few episodes of a 30-minute show.\n- On Thursday, he watched 1 hour and a 30-minute show, which totals 1.5 hours.\n- On Friday, he watched two 1-hour episodes, which totals 2 hours.\n\nNow, let's add up the hours he spent watching TV from Monday to Thursday:\n\nMonday: 1 hour\nTuesday: 1 hour\nWednesday: Unknown (let's call it W hours)\nThursday: 1.5 hours\n\nThe total time spent from Monday to Thursday is 1 + 1 + W + 1.5 hours.\n\nWe know that Frankie watched 7 hours of TV in all, so we can set up the equation:\n\n1 + 1 + W + 1.5 + 2 = 7\n\nCombining the known hours:\n\n3.5 + W = 7\n\nNow, let's solve for W:\n\nW = 7 - 3.5\nW = 3.5 hours\n\nSince W represents the hours of 30-minute episodes, we need to convert this to the number of 30-minute episodes:\n\n3.5 hours * (60 minutes / 30 minutes) = 7 episodes\n\nSo, Frankie watched $\\boxed{7}$ 30-minute episodes on Wednesday.", "answer": {"result": 7}}, "matches": false} +{"solution": {"solution": "\n\nLet's say Henry baked x cookies last year.\n\nThis year, he wanted to make twice as many, so he intended to bake 2x cookies.\n\nHowever, he actually baked 15 more than he intended, so he baked 2x + 15 cookies.\n\nHe then dropped 5 cookies, so he has 2x + 15 - 5 = 2x + 10 cookies remaining.\n\nWe know that he has a total of 110 cookies, so 2x + 10 = 110.\n\nSubtracting 10 from both sides, we get 2x = 100.\n\nDividing both sides by 2, we find that x = 50.\n\nTherefore, Henry baked 50 cookies last year.\n\nThe answer is: 50", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "To calculate the total cost of the gas after the cashback reward, we follow these steps:\n\n1. First, we calculate the total amount of cashback for 10 gallons of gas at $0.20 per gallon:\n \\[\n \\text{Cashback} = 10 \\, \\text{gallons} \\times \\$0.20/\\text{gallon} = \\$2.00.\n \\]\n\n2. Next, we subtract the cashback from the total cost of the gas before cashback. The cost of 10 gallons of gas at $3.00 per gallon is:\n \\[\n \\text{Total Cost} = 10 \\, \\text{gallons} \\times \\$3.00/\\text{gallon} = \\$30.00.\n \\]\n\n3. Finally, we find the total cost of the gas after the cashback reward by subtracting the cashback from the total cost:\n \\[\n \\text{Total Cost After Cashback} = \\$30.00 - \\$2.00 = \\$28.00.\n \\]\n\nTherefore, the total cost of the gas after the cashback reward is $\\boxed{\\$28.00}$.", "answer": {"result": 28}}, "matches": true} +{"solution": {"solution": "To find the average number of fruit roll-ups eaten by Marcell and Beatrice, we first need to calculate the total number of roll-ups each ate.\n\nFor Beatrice:\n- Beatrice's fruit roll-up is 2 roll-ups wide and 24 roll-ups long.\n- The total number of roll-ups she ate is calculated by multiplying the width by the length: $2 \\times 24 = 48$ roll-ups.\n\nFor Marcell:\n- Marcell's fruit roll-up is 3 roll-ups wide and 14 roll-ups long.\n- The total number of roll-ups he ate is calculated by multiplying the width by the length: $3 \\times 14 = 42$ roll-ups.\n\nTo find the average, we add the total roll-ups eaten by both and then divide by the number of people, which is 2 in this case.\n\n- Total roll-ups eaten by both: $48 + 42 = 90$ roll-ups.\n- Average number of roll-ups eaten: $\\dfrac{90}{2} = 45$ roll-ups.\n\nTherefore, the average number of fruit roll-ups eaten by Marcell and Beatrice is $\\boxed{45}$.The answer is: 45", "answer": {"result": 45}}, "matches": true} +{"solution": {"solution": "First, calculate the distance Julia rows in one second:\n\\[ \\text{Distance per second} = \\frac{20 \\text{ feet}}{16 \\text{ seconds}} = 1.25 \\text{ feet per second} \\]\n\nNext, determine the total distance she rows in 64 seconds:\n\\[ \\text{Total distance} = 1.25 \\text{ feet/second} \\times 64 \\text{ seconds} = 80 \\text{ feet} \\]\n\nNow, calculate the amount of water that enters the boat as she rows 80 feet:\n\\[ \\text{Water intake} = 2 \\text{ liters per 10 feet} \\times \\frac{80 \\text{ feet}}{10 \\text{ feet}} = 16 \\text{ liters} \\]\n\nThus, by the time Julia reaches shore, the boat has taken on:\n\\[ \\boxed{16 \\text{ liters of water}} \\]\n\nConclusion:\nThe calculation shows that the boat takes on 16 liters of water as Julia rows the 80 feet to shore, consistent with the leak rate and her rowing speed.", "answer": {"result": 16}}, "matches": true} +{"solution": {"solution": "\n1. Each teacher uses the whiteboard twice a day for their lessons. Since there are 4 teachers, the total number of times the whiteboard is used in a day is calculated by multiplying the number of teachers by the number of times each teacher uses it:\n \\[\n 4 \\text{ teachers} \\times 2 \\text{ uses per teacher} = 8 \\text{ uses per day}\n \\]\n\n2. The whiteboard is cleaned after every lesson. Given that each teacher uses the whiteboard twice a day, the number of times the whiteboard is cleaned is the same as the number of times it is used:\n \\[\n 8 \\text{ uses} \\implies 8 \\text{ cleanings per day}\n \\]\n\n3. Each lesson involves cleaning the whiteboard 3 times. To find the total number of cleanings, multiply the number of lessons by the number of cleanings per lesson:\n \\[\n 8 \\text{ lessons} \\times 3 \\text{ cleanings per lesson} = 24 \\text{ cleanings per day}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{24}\n\\]", "answer": {"result": 24}}, "matches": true} +{"solution": {"solution": "If Ryan plants 2 flowers a day for 15 days, he would have planted a total of 2 * 15 = 30 flowers. \n\nHowever, 5 of those flowers did not grow. \n\nSo, he has 30 - 5 = $\\boxed{25}$ flowers in his garden.", "answer": {"result": 25}}, "matches": true} +{"solution": {"solution": "1. First, calculate the maximum number of photographs Brittany's phone can hold. Since Jamal's phone can hold 6 times more photographs than Brittany's, and Jamal's can hold 1800, we divide 1800 by 6:\n \\[\n \\frac{1800}{6} = 300\n \\]\n So, Brittany's phone can hold 300 photographs.\n\n2. Next, we know that the maximum number of photographs Brittany's phone can hold (300) is 50 times more than the number of ducks in Jamal's photograph. To find the number of ducks, we divide 300 by 50:\n \\[\n \\frac{300}{50} = 6\n \\]\n Therefore, there are 6 ducks in Jamal's photograph.\n\n3. Conclusion: The number of ducks that can be seen in Jamal's photograph is $\\boxed{6}$.", "answer": {"result": 6}}, "matches": true} +{"solution": {"solution": "Sasha bought ten 2 x 4 x 10 boards for $10 each, so the total cost for these boards is 10 * $10 = $100.\nShe also bought five 4 x 4 x 10 boards for $16 each, so the total cost for these boards is 5 * $16 = $80.\nThe total cost for all the boards is $100 + $80 = $180.\nIf she sells all the boards, she will make $180 in revenue.\nTo calculate the profit, we subtract the cost from the revenue: $180 - $180 = $0.\nTherefore, Sasha does not make any profit from selling the leftover lumber.\n#### 0\nThe answer is: 0", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "1. **Identify the total ratio parts**: Katy uses sugar and water in the ratio of 7:13. Thus, the total number of ratio parts is:\n \\[\n 7 + 13 = 20\n \\]\n\n2. **Calculate the value of each part**: Katy used a total of 120 teaspoons of sugar and cups of water together. To find the value of each part, we divide the total number of teaspoons by the total number of parts:\n \\[\n \\frac{120}{20} = 6\n \\]\n This means each part (whether sugar or water) is equivalent to 6 teaspoons.\n\n3. **Determine the amount of sugar**: Since sugar constitutes 7 parts of the ratio, we multiply the value of each part by 7:\n \\[\n 7 \\times 6 = 42\n \\]\n Thus, Katy used 42 teaspoons of sugar.\n\n### Conclusion:\n\\[\n\\boxed{42}\n\\]", "answer": {"result": 42}}, "matches": true} +{"solution": {"solution": "John buys 2 pairs of shoes for each of his 3 children, so he buys a total of 2 * 3 = 6 pairs of shoes. \n\nThe cost of each pair of shoes is $60, so the total cost for 6 pairs is 6 * $60 = $360. \n\nTherefore, John paid $\\boxed{\\$360}$ for the shoes.The answer is: 360", "answer": {"result": 360}}, "matches": true} +{"solution": {"solution": "\n1. **Define Variables:**\n Let \\( x \\) be the number of containers with imported vehicles that arrived on the second day.\n\n2. **Set Up the Equation:**\n - On the first day, there were 2 containers with 5 vehicles each.\n - Therefore, the total number of vehicles on the first day is \\( 2 \\times 5 = 10 \\) vehicles.\n - On the second day, each container had 5 vehicles, so the number of vehicles from the second day's containers is \\( 5x \\).\n - The total number of vehicles after the second day is 30.\n\n3. **Formulate the Equation:**\n - The total number of vehicles is the sum of vehicles from the first and second days:\n \\[\n 10 + 5x = 30\n \\]\n\n4. **Solve for \\( x \\):**\n - Subtract 10 from both sides of the equation:\n \\[\n 5x = 30 - 10\n \\]\n \\[\n 5x = 20\n \\]\n - Divide both sides by 5:\n \\[\n x = \\frac{20}{5}\n \\]\n \\[\n x = 4\n \\]\n\n5. **Conclusion:**\n The number of containers with imported vehicles that arrived on the second day is \\( 4 \\).\n\n\\[\n\\boxed{4}\n\\]", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "Four years ago, Adrien earned $40000, which was 30% higher than Lylah's salary. To find Lylah's salary four years ago, we set up the equation:\n\n\\[40000 = 1.30 \\times \\text{Lylah's salary four years ago}\\]\n\nSolving for Lylah's salary four years ago:\n\n\\[\\text{Lylah's salary four years ago} = \\frac{40000}{1.30} \\approx 30769.23\\]\n\nFour years later, Adrien's salary increased by 40%, so his new salary is:\n\n\\[40000 + 0.40 \\times 40000 = 40000 + 16000 = 56000\\]\n\nSince their salaries increased simultaneously by 40%, Lylah's salary four years later is:\n\n\\[30769.23 + 0.40 \\times 30769.23 \\approx 30769.23 + 12307.69 = 43076.92\\]\n\nThe total salary the two were receiving four years later is:\n\n\\[56000 + 43076.92 = 99076.92\\]\n\nSo, the total salary the two were receiving four years later is $99076.92.\n\nTo calculate the exact value of Lylah's salary four years ago, we can round it to the nearest dollar:\n\n\\[30769.23 \\approx 30769\\]\n\nAnd to calculate the exact value of the total salary four years later, we can round it to the nearest dollar:\n\n\\[99076.92 \\approx 99077\\]\n\nTherefore, the total salary the two were receiving four years later is $\\boxed{99077}$.The answer is: 99077", "answer": {"result": 99077}}, "matches": false} +{"solution": {"solution": "Miguel uses 2 pads of paper a week for drawing. Since there are 30 sheets of paper on a pad, he uses:\n\n2 pads/week * 30 sheets/pad = 60 sheets/week\n\nTo find out how many sheets he uses in a month, we need to know the number of weeks in a month. Let's assume there are 4 weeks in a month for this calculation.\n\n60 sheets/week * 4 weeks/month = 240 sheets/month\n\nTherefore, Miguel uses $\\boxed{240}$ sheets of paper every month for his drawing.", "answer": {"result": 240}}, "matches": true} +{"solution": {"solution": "Morisette brought 5 apples and 8 oranges, so she brought a total of 5 + 8 = 13 fruits.\n\nKael brought twice the amount of apples that Morisette brought, so he brought 2 * 5 = 10 apples.\n\nKael also brought half the number of oranges that Morisette brought, so he brought 8 / 2 = 4 oranges.\n\nIn total, Kael brought 10 + 4 = 14 fruits.\n\nTogether, Morisette and Kael brought 13 + 14 = 27 fruits.\n\n#### 27\nThe answer is: 27", "answer": {"result": 27}}, "matches": true} +{"solution": {"solution": "Sadie slept 8 hours on Monday. \n\nFor the next two days, she slept 2 hours less each day, so she slept 8 - 2 = 6 hours each of those days. \n\nFor the rest of the week, she slept 1 hour more than those two days, so she slept 6 + 1 = 7 hours each of those days.\n\nThe total number of hours she slept throughout the week is 8 (Monday) + 6 (Tuesday) + 6 (Wednesday) + 7 (Thursday) + 7 (Friday) + 7 (Saturday) + 7 (Sunday) = 41 hours. \n\n#### 41\nThe answer is: 41", "answer": {"result": 41}}, "matches": false} +{"solution": {"solution": "In the first 3 hours, Rosie runs at a speed of 10 miles per hour, so she covers a distance of 10 miles/hour * 3 hours = 30 miles.\n\nAfter the first 3 hours, she runs at a speed of 5 miles per hour. She has 4 hours left to run at this speed (since the total time is 7 hours). So, in the remaining 4 hours, she covers a distance of 5 miles/hour * 4 hours = 20 miles.\n\nAdding the distances together, Rosie can run a total of 30 miles + 20 miles = $\\boxed{50}$ miles in 7 hours.", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "\n1. **Total Letters Needed Stamping:**\n - Jennie has a pile of 60 letters needing stamps.\n\n2. **Stamping the Letters:**\n - She puts stamps on one-third of the letters needing stamps. \n - Calculating one-third of 60:\n \\[\n \\frac{60}{3} = 20\n \\]\n - Therefore, Jennie stamps 20 letters.\n\n3. **Additional Letters Added to the Stamped Pile:**\n - After stamping, the pile of already-stamped letters now contains 30 letters.\n - The number of letters added to the already-stamped pile is:\n \\[\n 30 - 20 = 10\n \\]\n\n4. **Initial Number of Letters in the Stamped Pile:**\n - The 10 additional letters represent the number of letters that were in the stamped pile when Jennie started her work.\n\n### Conclusion:\n\n\\[\n\\boxed{10}\n\\]", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "Julia initially had a certain number of spoons, let's call it X. \nHer husband gave her 5 more spoons, so she had X + 5 spoons. \nJulia used 3 spoons to sample her stew, so she had X + 5 - 3 = X + 2 spoons left. \nWhen she went to set the table, she had a total of 12 spoons, so X + 2 = 12. \nTo find X, we need to subtract 2 from both sides of the equation, so X = 12 - 2 = 10. \nTherefore, Julia bought a package of 10 spoons. \n#### 10\nThe answer is: 10", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "Dylan bought 38 chicken sausages. He also bought 6 more fish sausages than chicken sausages, which means he bought 38 + 6 = 44 fish sausages. \n\nTo find the total number of sausages Dylan bought, we add the chicken sausages to the fish sausages:\n\n38 (chicken sausages) + 44 (fish sausages) = 82 sausages.\n\nDylan bought $\\boxed{82}$ sausages in all.", "answer": {"result": 82}}, "matches": true} +{"solution": {"solution": "If Lily made 50 friends, then Amy made 50 + 20 = 70 friends.\nTogether, Lily and Amy have 50 + 70 = 120 friends.\n#### 120\nThe answer is: 120", "answer": {"result": 120}}, "matches": true} +{"solution": {"solution": "First, let's find out the cost of each item based on the given information. \n\n1. Each pepper costs $15.\n2. A watermelon costs three times what each pepper costs, so a watermelon costs 3 * $15 = $45.\n3. An orange costs 5 less than what a watermelon costs, so an orange costs $45 - $5 = $40.\n\nNow, let's calculate the total cost for each item based on the number Dillon needs to buy.\n\n1. Dillon needs to buy 4 watermelons, so the cost for watermelons is 4 * $45 = $180.\n2. Dillon needs to buy 20 peppers, so the cost for peppers is 20 * $15 = $300.\n3. Dillon needs to buy 10 oranges, so the cost for oranges is 10 * $40 = $400.\n\nFinally, let's add up the costs for all the items to find the total amount Dillon will spend.\n\nTotal cost = Cost of watermelons + Cost of peppers + Cost of oranges\nTotal cost = $180 + $300 + $400\nTotal cost = $880\n\nDillon will spend a total of $\\boxed{\\$880}$ at the store.", "answer": {"result": 880}}, "matches": true} +{"solution": {"solution": "\n\nThere are 500 patients seen a day, and each patient is seen for an average of 24 minutes. \n\nTo calculate the total time spent on patients in a day:\n500 patients * 24 minutes/patient = 12000 minutes/day\n\nConvert minutes to hours:\n12000 minutes/day \u00f7 60 minutes/hour = 200 hours/day\n\nThe doctors charge $150 an hour, so the doctors' total cost per day is:\n200 hours/day * $150/hour = $30,000/day\n\nThe hospital charges $200 an hour, so the hospital's total revenue per day is:\n200 hours/day * $200/hour = $40,000/day\n\nTo find the profit, subtract the doctors' cost from the hospital's revenue:\n$40,000/day - $30,000/day = $10,000/day\n\nThe hospital makes a profit of $\\$10,000$ per day from these visits. \n\nAnswer: $10,000$", "answer": {"result": 10000}}, "matches": true} +{"solution": {"solution": "Nissa hires 60 elves. A third of them quit, which is 60/3 = 20 elves. \n\nAfter 20 elves quit, there are 60 - 20 = 40 elves left. \n\nThen, 10 more elves quit after having their shins kicked, so there are 40 - 10 = $\\boxed{30}$ elves left. \n\nThe answer is: 30", "answer": {"result": 30}}, "matches": true} +{"solution": {"solution": "In May, Joseph's expenditure was $500. \nIn June, his expenditure was $60 less, so it would be $500 - $60 = $440. \nTo find his total expenditure for those two months, we add May's expenditure and June's expenditure: $500 + $440 = $940. \n#### 940\nThe answer is: 940", "answer": {"result": 940}}, "matches": true} +{"solution": {"solution": "Pam rode the roller coaster 2 times, so she used 2 * 6 = 12 tickets for the roller coaster. \nFred rode the roller coaster 4 times, so he used 4 * 6 = 24 tickets for the roller coaster. \nBoth of them rode the luge 2 times, so they used 2 * 2 * 6 = 24 tickets for the luge. \nIn total, they used 12 + 24 + 24 = 60 tickets that day. \n#### 60\nThe answer is: 60", "answer": {"result": 60}}, "matches": true} +{"solution": {"solution": "On Monday, Walt walked 4 miles. \n\nOn Tuesday, he walked 6 times as many miles as on Monday, so he walked 4 * 6 = 24 miles.\n\nThe total mileage from Monday to Tuesday is 4 + 24 = 28 miles.\n\nHis total mileage from Monday to Wednesday was 41 miles.\n\nTherefore, the miles he walked on Wednesday are 41 - 28 = $\\boxed{13}$ miles.\n\nAnswer: ### 13\nThe answer is: 13", "answer": {"result": 13}}, "matches": true} +{"solution": {"solution": "Tom gets 4 car washes a month, so in a year, he gets 4 * 12 = 48 car washes. \n\nEach car wash costs $15, so in a year, he pays 48 * $15 = $720. \n\n#### 720\nThe answer is: 720", "answer": {"result": 720}}, "matches": true} +{"solution": {"solution": "If Brian has 20 video games but lost 5, he has 20 - 5 = 15 video games left.\nBobby has 5 fewer than 3 times as many video games as Brian, so Bobby has 3 * 15 - 5 = 45 - 5 = 40 video games.\n#### 40\nThe answer is: 40", "answer": {"result": 40}}, "matches": true} +{"solution": {"solution": "\n1. Find the number of unicorns in the Scottish Highlands:\n - Since one third of the 27 unicorns are in the Scottish Highlands, calculate:\n \\[\n \\frac{1}{3} \\times 27 = 9\n \\]\n So, there are 9 unicorns in the Scottish Highlands.\n\n2. Determine the number of female Scottish unicorns:\n - Two thirds of the Scottish unicorns are female. Therefore, calculate:\n \\[\n \\frac{2}{3} \\times 9 = 6\n \\]\n Thus, there are 6 female Scottish unicorns.\n\nConclusion:\n\\[\n\\boxed{6}\n\\]\n\nAnswer: 6", "answer": {"result": 6}}, "matches": true} +{"solution": {"solution": "First, let's calculate the cost of the subs, chips, and cookies:\n\nSubs: 2 x $7.50 = $15.00\nChips: 2 x $1.50 = $3.00\nCookies: 2 x $1.00 = $2.00\n\nNow, let's add the cost of these items together:\n\n$15.00 (subs) + $3.00 (chips) + $2.00 (cookies) = $20.00\n\nNext, we need to calculate the delivery fee, which is 20% of the total cost of the items:\n\nDelivery fee = 20% of $20.00\nDelivery fee = 0.20 x $20.00\nDelivery fee = $4.00\n\nNow, let's add the delivery fee to the total cost of the items:\n\nTotal cost (items + delivery fee) = $20.00 + $4.00 = $24.00\n\nFinally, we add the $5.00 tip to the total cost:\n\nTotal cost (items + delivery fee + tip) = $24.00 + $5.00 = $29.00\n\nRory's delivery order will cost $\\boxed{\\$29.00}$ .", "answer": {"result": 29}}, "matches": true} +{"solution": {"solution": "\nYesterday, Mark had 8 hours to complete 75 questions at a rate of 5 questions per hour. \nTo find out how many questions he completed, we divide the total number of questions by the rate: 75 / 5 = 15 questions per hour.\nSince he had 8 hours, he completed a total of 15 * 8 = 120 questions.\nHowever, the test only had 75 questions, so he completed all of them.\n\nToday, Mark had 6 hours to complete 100 questions at the same rate of 5 questions per hour.\nTo find out how many questions he completed, we divide the total number of questions by the rate: 100 / 5 = 20 questions per hour.\nSince he had 6 hours, he completed a total of 20 * 6 = 120 questions.\nHowever, the test only had 100 questions, so he completed all of them.\n\nSince Mark completed all the questions in both tests, he did not leave any questions incomplete.\n\n#### 0\nThe answer is: 0", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "If there are 12 blue gumballs, four times the number of blue gumballs would be 12 * 4 = 48.\n\nAdding 22 more to this number gives us the total number of pink gumballs: 48 + 22 = 70.\n\nTherefore, there are $\\boxed{70}$ pink gumballs in the candy machine.", "answer": {"result": 70}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the total number of cars available for rent:**\n \\[\n \\text{Total number of cars} = 20\n \\]\n\n2. **Identify the number of automatic and manual cars:**\n \\[\n \\text{Number of automatic cars} = 12\n \\]\n \\[\n \\text{Number of manual cars} = 4\n \\]\n\n3. **Calculate the number of semi-automatic cars:**\n Since the total number of cars is 20 and we know the number of automatic and manual cars, we subtract these from the total:\n \\[\n \\text{Number of semi-automatic cars} = \\text{Total number of cars} - (\\text{Number of automatic cars} + \\text{Number of manual cars})\n \\]\n \\[\n \\text{Number of semi-automatic cars} = 20 - (12 + 4) = 20 - 16 = 4\n \\]\n\n4. **Compute the percentage of semi-automatic cars:**\n \\[\n \\text{Percentage of semi-automatic cars} = \\left( \\frac{\\text{Number of semi-automatic cars}}{\\text{Total number of cars}} \\right) \\times 100\n \\]\n \\[\n \\text{Percentage of semi-automatic cars} = \\left( \\frac{4}{20} \\right) \\times 100\n \\]\n \\[\n \\text{Percentage of semi-automatic cars} = 0.2 \\times 100 = 20\\%\n \\]\n\n### Conclusion:\n\\[\n\\boxed{20\\%}\n\\]", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "Let's represent the number of baby bees as B.\nSince there are twice as many babies as queens, there are B/2 queens.\nAnd since there are twice as many worker bees as baby bees, there are 2B worker bees.\nThe total number of bees in the hive is B + B/2 + 2B = 700.\nCombining like terms, we have 3.5B = 700.\nDividing both sides by 3.5, we get B = 200.\nSo there are 2B = 2(200) = 400 worker bees in the hive.\n#### 400\nThe answer is: 400", "answer": {"result": 400}}, "matches": true} +{"solution": {"solution": "Jordan plays video games for 2 hours every day, so in a week, he spends 2 hours x 7 days = 14 hours on video games.\nIf Jordan spent his video game time working instead, he would earn $10/hour x 14 hours = $140.\nTherefore, Jordan would earn $140 in one week if he spent his video game time working instead.\n#### 140\nThe answer is: 140", "answer": {"result": 140}}, "matches": true} +{"solution": {"solution": "First, let's calculate the cost of the items without tax:\n\n- Milk: $2\n- Eggs: $3\n- Light bulbs: $3\n- Cups: $3\n- Roach traps: $4\n\nNow, let's add up the cost of the nonfood items (light bulbs, cups, and roach traps):\n\n$3 (light bulbs) + $3 (cups) + $4 (roach traps) = $10\n\nSince there is a 10% tax on nonfood items, we need to calculate the tax on this $10:\n\n10% of $10 = 0.10 * $10 = $1\n\nNow, let's add the tax to the cost of the nonfood items:\n\n$10 (cost of nonfood items) + $1 (tax) = $11\n\nFinally, let's add the cost of the milk (a food item, so no tax) to the taxed nonfood items:\n\n$2 (milk) + $11 (nonfood items with tax) = $13\n\nTherefore, the total cost of everything is $\\boxed{\\$13}$ .", "answer": {"result": 13}}, "matches": false} +{"solution": {"solution": "First, let's calculate the weekly expenses for each client. \n\nEach client will need 2 bottles of bleach at $2 each and 1 pack of cloths at $5. \n\nSo, the weekly expenses per client are:\n2 bottles of bleach * $2/bottle = $4\n1 pack of cloths * $5 = $5\n\nTotal weekly expenses per client = $4 + $5 = $9\n\nKim has 3 clients already and is expecting to add 5 more:\nTotal number of clients = 3 + 5 = 8 clients\n\nTotal weekly expenses for all clients = 8 clients * $9/client = $72\n\nKim's total income each week is $92.\n\nNow, let's calculate the profit:\nProfit = Total income - Total expenses\nProfit = $92 - $72 = $20\n\nKim will make a profit of $\\boxed{\\$20}$ each week.", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "John has 10 hectares of a pineapple field, and there are 100 pineapples per hectare. So, he has a total of 10 x 100 = 1000 pineapples in his field. \n\nSince John can harvest his pineapples every 3 months, within a year, he can harvest pineapples 12/3 = 4 times. \n\nTherefore, within a year, John can harvest 1000 pineapples x 4 = 4000 pineapples. \n\n#### 4000\nThe answer is: 4000", "answer": {"result": 4000}}, "matches": true} +{"solution": {"solution": "The second lego set has 500 x 3 = 1500 pieces.\nThe third lego set has 1500 / 4 = 375 pieces.\nThe total number of pieces across all three sets is 500 + 1500 + 375 = 2375 pieces.\nSo, Johnny picks up 2375 legos.\n#### 2375\nThe answer is: 2375", "answer": {"result": 2375}}, "matches": false} +{"solution": {"solution": "Debra sees 30 bees leave the hive in the first 6 hours.\nIn the next 6 hours, she sees 1/2 that many bees return, so she sees 30/2 = 15 bees return.\nIn the next 6 hours, she sees two times as many bees as she saw first leave the hive, so she sees 30 x 2 = 60 bees fly from the hive and leave.\nIn the last 6 hours, every bee that left before that hadn't already returned returns to the hive.\nSo, the number of bees that return in the last 6 hours is the sum of the bees that returned in the previous 6 hours and the bees that hadn't returned yet.\nThe bees that returned in the previous 6 hours are 15, and the bees that hadn't returned yet are 60, so the total number of bees that return in the last 6 hours is 15 + 60 = 75.\nTherefore, Debra sees 75 bees return to the hive in the last 6 hours of the day.\n#### 75\nThe answer is: 75", "answer": {"result": 75}}, "matches": true} +{"solution": {"solution": "Brittany's mom paid for 1 adult ticket, which costs $12. She also paid for 1 child ticket, which costs $10. \n\nThe total cost for both tickets is $12 + $10 = $22.\n\nIf she received $8 in change, that means she gave the cashier $22 + $8 = $30.\n\n#### 30\nThe answer is: 30", "answer": {"result": 30}}, "matches": true} +{"solution": {"solution": "If Charlie has three times as many friends as Dorothy, and Charlie has 12 friends, then Dorothy has 12/3 = 4 friends.\nIf James has four times as many friends as Dorothy, then James has 4 * 4 = 16 friends.\nSo, James has 16 Facebook friends. \n#### 16\nThe answer is: 16", "answer": {"result": 16}}, "matches": true} +{"solution": {"solution": "First, let's calculate the time it takes for Steve to bike home. Since Steve lives 3 miles away and bikes at a speed of 440 feet per minute, we need to convert miles to feet to get the time in minutes. \n\n1 mile = 5280 feet\n\nSo, 3 miles = 3 * 5280 = 15840 feet\n\nNow, we can calculate the time it takes for Steve to bike home:\n\n15840 feet / 440 feet per minute = 36 minutes\n\nNext, let's calculate the time it takes for Tim to skateboard home. Since Tim lives 2 miles away and skateboards at a speed of 264 feet per minute, we'll convert miles to feet and calculate the time:\n\n2 miles = 2 * 5280 = 10560 feet\n\nNow, we can calculate the time it takes for Tim to skateboard home:\n\n10560 feet / 264 feet per minute = 40 minutes\n\nSince Steve finishes the race in 36 minutes and Tim finishes in 40 minutes, Steve is the winner.\n\nNow, we need to find out how long the winner (Steve) will have to wait for the loser (Tim). The loser finishes the race in 40 minutes, so Steve will have to wait until Tim finishes.\n\nSince Steve finishes in 36 minutes, we subtract his finishing time from Tim's finishing time to find out how long Steve has to wait:\n\n40 minutes (Tim's time) - 36 minutes (Steve's time) = 4 minutes\n\nSo, Steve will have to wait 4 minutes before Tim finishes the race.\n\nThe answer is 4 minutes.", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "On the first day, Shawnda had 5 bicycles, which means she inflated 5 x 2 = 10 bicycle tires. \n\nShe also had 3 tricycles, which means she inflated 3 x 3 = 9 tricycle tires. \n\nAdditionally, she inflated 1 unicycle tire. \n\nIn total, she inflated 10 + 9 + 1 = 20 tires. \n\nSince each tire costs 25 cents, she made 20 x $0.25 = $5.00 that day. \n\nTherefore, Shawnda made $\\boxed{5}$ dollars that day.The answer is: 5", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "Carl buys ten packs of cookies, and each pack has six cookies, so he buys a total of 10 * 6 = 60 cookies.\n\nEach cookie costs $0.10, so the total cost of the cookies is 60 * $0.10 = $6.00.\n\nCarl pays with a $10 bill, so he should receive $10 - $6 = $4.00 in change. \n\nThe change Carl receives is $\\boxed{\\$4.00}$ .The answer is: 4", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "Let's work backward from the final amount of fries left:\n\n1. **Ants carried off one fry, leaving 5**: Before the ants, there were 5 + 1 = 6 fries.\n2. **Raccoon stole two-thirds of the remaining fries**: Before the raccoon, there were 6 \u00f7 (1 - 2/3) = 6 \u00f7 1/3 = 18 fries.\n3. **Three pigeons each ate three fries**: Before the pigeons, there were 18 + 3 \u00d7 3 = 18 + 9 = 27 fries.\n4. **The seagull ate half of what Dave ate**: Before the seagull, there were 27 + 14 \u00d7 2 = 27 + 28 = 55 fries.\n\nTherefore, Dave bought $\\boxed{55}$ french fries. The answer is 55. The answer is 55", "answer": {"result": 55}}, "matches": false} +{"solution": {"solution": "\nOn Mondays, Wednesdays, and Fridays, Kimo has 3 classes each day, and each class is 1 hour long.\nSo, he spends 3 classes x 1 hour/class = 3 hours each day on these days.\n\nOn Tuesdays and Thursdays, Kimo has 2 classes each day, and each class is 2 hours long.\nSo, he spends 2 classes x 2 hours/class = 4 hours each day on these days.\n\nIn one week, Kimo spends 3 hours/day x 3 days + 4 hours/day x 2 days = 9 hours + 8 hours = 17 hours.\n\nIn one semester, there are 16 weeks, so Kimo spends 17 hours/week x 16 weeks = 272 hours.\n\nTherefore, Kimo spends 272 hours attending classes in one semester.\n\n#### 272\nThe answer is: 272", "answer": {"result": 272}}, "matches": true} +{"solution": {"solution": "\nFirst, let's convert all the lengths to inches, since the inches for rolls and croissants are already given.\n\n1. Rolls:\nEach roll is 4 inches long.\n\n2. Chocolate croissants:\nEach croissant is 6 inches long.\n\n3. Baguettes:\nEach baguette is two feet long. Since there are 12 inches in a foot, each baguette is 24 inches long.\n\nNow, let's calculate the total length for each type of baked good:\n\n1. Rolls:\nBill bakes 300 rolls, each 4 inches long.\nTotal length of rolls = 300 rolls * 4 inches/roll = 1200 inches\n\n2. Chocolate croissants:\nBill bakes 120 croissants, each 6 inches long.\nTotal length of croissants = 120 croissants * 6 inches/croissant = 720 inches\n\n3. Baguettes:\nBill bakes 60 baguettes, each 24 inches long.\nTotal length of baguettes = 60 baguettes * 24 inches/baguette = 1440 inches\n\nFinally, let's add up the total lengths of all the baked goods:\n\nTotal length = Total length of rolls + Total length of croissants + Total length of baguettes\nTotal length = 1200 inches + 720 inches + 1440 inches\nTotal length = 3360 inches\n\nNow, let's convert the total length from inches to feet:\n\nSince there are 12 inches in a foot,\nTotal length in feet = Total length in inches / 12\nTotal length in feet = 3360 inches / 12\nTotal length in feet = 280 feet\n\nTherefore, the baked goods, when put end to end, will be $\\boxed{280}$ feet long.\n\nAnswer:\n280", "answer": {"result": 280}}, "matches": true} +{"solution": {"solution": "To calculate the total number of bananas the zookeeper needs to order for all the apes in the zoo for a period of 2 months, we follow these steps:\n\n1. First, we find the total monthly consumption of bananas by the monkeys, gorillas, and baboons. This is calculated as follows:\n\\[200 \\, \\text{bananas/month (for monkeys)} + 400 \\, \\text{bananas/month (for gorillas)} + 100 \\, \\text{bananas/month (for baboons)} = 700 \\, \\text{bananas/month}\\]\n\n2. Next, we determine the total consumption over a 2-month period by multiplying the monthly consumption by 2:\n\\[700 \\, \\text{bananas/month} \\times 2 \\, \\text{months} = 1400 \\, \\text{bananas}\\]\n\nTherefore, the zookeeper needs to order $\\boxed{1400}$ bananas to last for 2 months.", "answer": {"result": 1400}}, "matches": true} +{"solution": {"solution": "Blake runs back and forth 15 times on a football field that is 100 yards long. The total distance Blake runs is 15 times the length of the field, which is 100 yards. \n\n1. Calculate Blake's total distance:\n \\[\n \\text{Blake's distance} = 15 \\times 100 = 1500 \\text{ yards}\n \\]\n\n2. Kelly runs to the 40-yard line and back, which is 80 yards for each round trip. She does this 34 times.\n\n3. Calculate Kelly's total distance:\n \\[\n \\text{Kelly's distance} = 34 \\times 80 = 2720 \\text{ yards}\n \\]\n\n4. Compare the distances to find out who ran farther:\n \\[\n \\text{Difference} = \\text{Kelly's distance} - \\text{Blake's distance} = 2720 - 1500 = 1220 \\text{ yards}\n \\]\n\n5. Determine the winner and the difference:\n \\[\n \\text{The winner runs } 1220 \\text{ yards farther}\n \\]\n\nConclusion:\n\\[\n\\boxed{1220}\n\\]\n\nAnswer: The winner runs 1220 yards farther than the loser.", "answer": {"result": 1220}}, "matches": false} +{"solution": {"solution": "Raphael bought 4 pens for $1.5 each, so he spent 4 * $1.5 = $6 on pens.\n\nHe also bought 2 notebooks for $4 each, so he spent 2 * $4 = $8 on notebooks.\n\nAdditionally, he bought a rim of bond paper for $20.\n\nTherefore, Raphael spent a total of $6 + $8 + $20 = $\\boxed{\\$34}$ on everything.", "answer": {"result": 34}}, "matches": true} +{"solution": {"solution": "Finn starts by watching 11 tadpoles in the pond. \n\nThen, he sees 6 of them come out from under a lily pad. So, the number of tadpoles he can see increases by 6. \n\nThis means the new total is 11 + 6 = 17 tadpoles.\n\nNext, he sees 2 of them hide under a rock. This means 2 tadpoles are no longer visible to Finn. \n\nSo, the new total after 2 tadpoles hide under a rock is 17 - 2 = 15 tadpoles.\n\nTherefore, Finn can see $\\boxed{15}$ tadpoles in the pond now.", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "On Tuesday, the tank had 7 feet more water than on Monday, so the depth of the water was 17 + 7 = 24 feet.\nOn Wednesday, the depth of the water is two thirds of what it was on Tuesday, so the depth of the water is 24 * (2/3) = 16 feet.\n#### 16\nThe answer is: 16", "answer": {"result": 16}}, "matches": true} +{"solution": {"solution": "Anakin caught a total of 10 starfish + 6 sea horses + 3 clownfish = 19 fish.\n\nLocsin caught 5 fewer starfish than Anakin, so that's 10 starfish - 5 = 5 starfish.\nLocsin also caught 3 fewer sea horses than Anakin, so that's 6 sea horses - 3 = 3 sea horses.\nLocsin caught 2 more clownfish than Anakin, so that's 3 clownfish + 2 = 5 clownfish.\n\nIn total, Locsin caught 5 starfish + 3 sea horses + 5 clownfish = 13 fish.\n\nTogether, Anakin and Locsin caught 19 fish (Anakin's catch) + 13 fish (Locsin's catch) = 32 fish.\n\nSo, they were able to catch a total of $\\boxed{32}$ fish.", "answer": {"result": 32}}, "matches": true} +{"solution": {"solution": "\n\nAfter the first two months, the price of the bag of marbles increases by 20% of the original price, which is $20 * 0.20 = $4.\n\nSo, the new price after two months is $20 + $4 = $24.\n\nAfter the next two months, the price increases by 20% of the new price, which is $24 * 0.20 = $4.80.\n\nSo, the new price after four months is $24 + $4.80 = $28.80.\n\nAfter the next two months, the price increases by 20% of the new price, which is $28.80 * 0.20 = $5.76.\n\nSo, the new price after six months is $28.80 + $5.76 = $34.56.\n\nAfter the next two months, the price increases by 20% of the new price, which is $34.56 * 0.20 = $6.912.\n\nSo, the new price after eight months is $34.56 + $6.912 = $41.472.\n\nAfter the next two months, the price increases by 20% of the new price, which is $41.472 * 0.20 = $8.2944.\n\nSo, the new price after ten months is $41.472 + $8.2944 = $49.7664.\n\nAfter the next two months, the price increases by 20% of the new price, which is $49.7664 * 0.20 = $9.95328.\n\nSo, the new price after twelve months is $49.7664 + $9.95328 = $59.71968.\n\nAfter the next two months, the price increases by 20% of the new price, which is $59.71968 * 0.20 = $11.943936.\n\nSo, the new price after fourteen months is $59.71968 + $11.943936 = $71.663616.\n\nAfter the next two months, the price increases by 20% of the new price, which is $71.663616 * 0.20 = $14.3327232.\n\nSo, the new price after sixteen months is $71.663616 + $14.3327232 = $86.\n\nAfter the next two months, the price increases by 20% of the new price, which is $86 * 0.20 = $17.2.\n\nSo, the new price after eighteen months is $86 + $17.2 = $103.2.\n\nAfter the next two months, the price increases by 20% of the new price, which is $103.2 * 0.20 = $20.64.\n\nSo, the new price after twenty months is $103.2 + $20.64 = $123.84.\n\nAfter the next two months, the price increases by 20% of the new price, which is $123.84 * 0.20 = $24.768.\n\nSo, the new price after twenty-two months is $123.84 + $24.768 = $148.608.\n\nAfter the next two months, the price increases by 20% of the new price, which is $148.608 * 0.20 = $29.7216.\n\nSo, the new price after twenty-four months is $148.608 + $29.7216 = $178.3296.\n\nAfter the next two months, the price increases by 20% of the new price, which is $178.3296 * 0.20 = $35.66592.\n\nSo, the new price after twenty-six months is $178.3296 + $35.66592 = $213.99552.\n\nAfter the next two months, the price increases by 20% of the new price, which is $213.99552 * 0.20 = $42.799104.\n\nSo, the new price after twenty-eight months is $213.99552 + $42.799104 = $256.794624.\n\nAfter the next two months, the price increases by 20% of the new price, which is $256.794624 * 0.20 = $51.3589248.\n\nSo, the new price after thirty months is $256.794624 + $51.3589248 = $308.1535488.\n\nAfter the next two months, the price increases by 20% of the new price, which is $308.1535488 * 0.20 = $61.63070976.\n\nSo, the new price after thirty-two months is $308.1535488 + $61.63070976 = $369.78425856.\n\nAfter the next two months, the price increases by 20% of the new price, which is $369.78425856 * 0.20 = $73.956851712.\n\nSo, the new price after thirty-four months is $369.78425856 + $73.956851712 = $443.741109272.\n\nAfter the next two months, the price increases by 20% of the new price, which is $443.741109272 * 0.20 = $88.7482218544.\n\nSo, the new price after thirty-six months is $443.741109272 + $88.7482218544 = $532.4893311264.\n\nTherefore, a bag of marbles would cost $532.49 after 36 months.\n\nAnswer: 532.49", "answer": {"result": 532.49}}, "matches": false} +{"solution": {"solution": "\n1. **Determine the cost of an action figure:**\n According to the problem, an action figure costs $5.\n\n2. **Determine the cost of a red car:**\n We know that one red car costs $4.\n\n3. **Calculate the cost of a doll:**\n The doll costs as much as three action figures. Therefore, the cost of the doll is:\n \\[\n 3 \\times 5 = 15 \\, \\text{dollars}\n \\]\n\n4. **Calculate the total cost of all red cars:**\n There are 5 red cars, and each costs $4. Therefore, the total cost of all red cars is:\n \\[\n 5 \\times 4 = 20 \\, \\text{dollars}\n \\]\n\n5. **Calculate the total cost of all action figures:**\n There are 3 action figures, and each costs $5. Therefore, the total cost of all action figures is:\n \\[\n 3 \\times 5 = 15 \\, \\text{dollars}\n \\]\n\n6. **Calculate the total cost of all toys:**\n Add the costs of the red cars, action figures, and the doll together:\n \\[\n 20 \\, \\text{dollars} + 15 \\, \\text{dollars} + 15 \\, \\text{dollars} = 50 \\, \\text{dollars}\n \\]\n\n### Conclusion:\nThe total cost of all the toys is:\n\\[\n\\boxed{50 \\, \\text{dollars}}\n\\]", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "If Jackie does her taxes herself, she will lose $35/hour in missed income for 3 fewer hours of freelance work. \nSo, she will lose 3 * $35 = $105 in income.\n\nIf she hires an accountant, she will pay $90 for their services.\n\nTo determine how much more money she will have if she hires the accountant, we need to compare the cost of hiring the accountant ($90) to the income she loses by doing the taxes herself ($105).\n\nSince $90 is less than $105, hiring the accountant will result in her having more money.\n\nThe difference is $105 - $90 = $15.\n\nTherefore, Jackie will have $15 more if she hires the accountant.\n\n#### 15\nThe answer is: 15", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "\n1. **Identify the total amount Elvira has:**\n Elvira has a total budget of \u20ac1500.\n\n2. **Calculate the cost of additional accessories:**\n - Scanner: \u20ac157\n - CD Burner: \u20ac74\n - Printer: \u20ac102\n\n3. **Add the cost of the accessories to the cost of the computer:**\n The computer itself costs \u20ac1090.\n Adding the cost of the accessories:\n \\[\n 1090 + 157 + 74 + 102 = 1423\n \\]\n\n4. **Subtract the total cost of the computer and accessories from the budget:**\n \\[\n 1500 - 1423 = 77\n \\]\n\n5. **Conclusion:**\n Elvira will have \u20ac77 left for a garment.\n\n\\[\n\\boxed{77}\n\\]", "answer": {"result": 77}}, "matches": true} +{"solution": {"solution": "To find out how many times Sandra has to babysit, we need to calculate the total number of eggs she needs and then divide that by the number of eggs she gets per babysitting session.\n\nSandra needs 3 eggs to make 1 Spanish flan. For 15 flans, she would need:\n3 eggs/flan * 15 flans = 45 eggs\n\nSandra's neighbor gives her 9 eggs each time she babysits. To find out how many times she needs to babysit to get 45 eggs, we divide the total number of eggs needed by the number of eggs she gets per session:\n45 eggs / 9 eggs/session = 5 sessions\n\nSandra has to babysit $\\boxed{5}$ times to have enough eggs to make 15 Spanish flans.", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "Let's denote Seth's current age as S and Brooke's current age as B.\n\nAccording to the information given:\n\n1. Seth is twice as old as Brooke: S = 2B\n2. In 2 years, the sum of their ages will be 28: S + B + 2 + S + B + 2 = 28\n\nNow, let's substitute S with 2B in the second equation:\n\n2B + B + 4 + 2B + B + 4 = 28\n6B + 8 = 28\n6B = 20\nB = 20 / 6\nB = 10 / 3\nB = 3.33 (approximately)\n\nNow that we have Brooke's age, we can find Seth's age:\n\nS = 2B\nS = 2 * 3.33\nS = 6.67 (approximately)\n\nSo, Seth is approximately 6.67 years old. However, since ages are typically expressed as whole numbers, we can round this to the nearest whole number:\n\nSeth is approximately 7 years old.\n\nTherefore, Seth is 7 years old.\n\nFinal answer: Seth is 7 years old.\n\nNote: The original solution provided is not in a step-by-step format, but the final answer is correct. The age of Seth is indeed 7.", "answer": {"result": 7}}, "matches": false} +{"solution": {"solution": "Twice the money Ethel has is 2 * $8 = $16.\n\nJimmy has $2 more than twice Ethel's money, so Jimmy has $16 + $2 = $18.\n\nTherefore, Jimmy is having $\\boxed{\\$18}$ .The answer is: 18", "answer": {"result": 18}}, "matches": true} +{"solution": {"solution": "Pancho walks 20 miles each day from Monday to Friday, which is a total of 5 days. So, the distance he covers in those days is:\n\\[ 20 \\text{ miles/day} \\times 5 \\text{ days} = 100 \\text{ miles} \\]\n\nOn weekends, he walks 10 miles each day, which is a total of 2 days (Saturday and Sunday). So, the distance he covers on weekends is:\n\\[ 10 \\text{ miles/day} \\times 2 \\text{ days} = 20 \\text{ miles} \\]\n\nTo find the total distance Pancho walks in a week, we add the distances from both the weekdays and weekends:\n\\[ 100 \\text{ miles} + 20 \\text{ miles} = 120 \\text{ miles} \\]\n\nTherefore, Pancho walks a total of $\\boxed{120}$ miles in a week.The answer is: 120", "answer": {"result": 120}}, "matches": true} +{"solution": {"solution": "\nFirst, let's calculate the cost of the jacket. Since the jacket costs three times as much as the hat, we multiply the cost of the hat by 3:\n\nCost of hat = $25\nCost of jacket = 3 * $25 = $75\n\nNext, let's calculate the cost of the pants. The pants cost the average of the costs of the hat and jacket. To find the average, we add the costs of the hat and jacket and divide by 2:\n\nAverage cost of hat and jacket = ($25 + $75) / 2 = $100 / 2 = $50\n\nNow, let's calculate the total cost of each uniform by adding the costs of the hat, jacket, and pants:\n\nTotal cost of each uniform = Cost of hat + Cost of jacket + Cost of pants\nTotal cost of each uniform = $25 + $75 + $50 = $150\n\nTherefore, each uniform costs $150 total.\n\nThe answer is: 150", "answer": {"result": 150}}, "matches": true} +{"solution": {"solution": "To find the total number of legs Jake sees, we need to calculate the number of legs for each type of creature and then add them together.\n\nFor the spiders:\n80 spiders * 8 legs each = 640 legs\n\nFor the insects:\n90 insects * 6 legs each = 540 legs\n\nFor the mutant invertebrates:\n3 insects * 10 legs each = 30 legs\n\nNow, we add the legs from each group together:\n640 legs (spiders) + 540 legs (insects) + 30 legs (mutant invertebrates) = 1210 legs\n\nJake sees a total of $\\boxed{1210}$ legs.The answer is: 1210", "answer": {"result": 1210}}, "matches": true} +{"solution": {"solution": "Sally Thirtytwo is the same age as Sally Four, who is 8 years old. \n\nGranny Red is two times as old as Sally Four, so Granny Red is 2 * 8 = 16 years old.\n\nSally Two is three years older than Granny Red, so Sally Two is 16 + 3 = 19 years old.\n\nThe total age of the four birds is Sally Four + Granny Red + Sally Two + Sally Thirtytwo = 8 + 16 + 19 + 8 = $\\boxed{51}$ years.", "answer": {"result": 51}}, "matches": true} +{"solution": {"solution": "First, let's calculate 50% more than the minimum payment for each debt:\n\n- Student loans: $300 + (50% of $300) = $300 + $150 = $450/month\n- Credit card: $200 + (50% of $200) = $200 + $100 = $300/month\n- Mortgage: $500 + (50% of $500) = $500 + $250 = $750/month\n\nNow, let's add up these amounts to find the total monthly payment:\n\n$450 (student loans) + $300 (credit card) + $750 (mortgage) = $1500/month\n\nTo find out how much Jessica pays in a year, we multiply the monthly payment by 12:\n\n$1500/month * 12 months/year = $18,000/year\n\nJessica pays $\\boxed{\\$18,000}$ a year on her debts if she pays 50% more than the minimum for each debt.", "answer": {"result": 18000}}, "matches": true} +{"solution": {"solution": "\nFirst, let's calculate how long it takes Billy to peel all 60 potatoes. \n\nIt takes Billy 1.5 minutes to peel one potato. \n\nSo, for 60 potatoes, it will take:\n1.5 minutes/potato * 60 potatoes = 90 minutes\n\nNext, let's calculate how long it takes Billy to cut up all 60 potatoes. \n\nIt takes Billy 5 seconds to cut up one potato. \n\nSo, for 60 potatoes, it will take:\n5 seconds/potato * 60 potatoes = 300 seconds\n\nTo convert the time for cutting into minutes, we divide by 60 (since there are 60 seconds in a minute):\n300 seconds / 60 = 5 minutes\n\nNow, we add the time for peeling and cutting together:\n90 minutes (peeling) + 5 minutes (cutting) = 95 minutes\n\nTherefore, it will take Billy 95 minutes to finish prepping the potatoes.\n\nAnswer:\n95", "answer": {"result": 95}}, "matches": true} +{"solution": {"solution": "\nLet's break down the problem step by step:\n\n1. **Calculate the total revenue from selling glasses of lemonade**: \n - They sell each glass for $0.50.\n - For each gallon, they get 20 glasses.\n - So, the revenue from one gallon is $0.50 \\times 20 = $10.\n\n2. **Determine the total revenue from selling all gallons**:\n - They made a profit of $25.\n - Total revenue = Profit + Total cost.\n - Since they made a profit, their total cost was $25 less than their total revenue.\n\n3. **Calculate the total gallons sold**:\n - Let's assume they sold $x$ gallons.\n - Their total revenue from selling $x$ gallons is $10x$ (since each gallon yields $10).\n - Therefore, $10x = 25 + \\text{total cost}$.\n\n4. **Determine the cost of ingredients per gallon**:\n - The cost per gallon for lemons is $3.\n - The cost per gallon for sugar is $2.\n - Total cost per gallon = $3 + $2 = $5.\n\n5. **Find the total cost for all gallons**:\n - Using the equation $10x = 25 + 5x$, we rearrange to find $x$:\n - $10x - 5x = 25$\n - $5x = 25$\n - $x = 5$\n\n6. **Calculate the total cost for lemons**:\n - The cost per gallon for lemons is $3.\n - They sold 5 gallons.\n - Total cost for lemons = $3 \\times 5 = $15.\n\nTherefore, the amount they spent on lemons is $\\boxed{15}$.", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "First, let's find out how many Asians were Chinese. There were 240 Asians in total, with 80 being Japanese. So, the number of Chinese Asians is:\n\n240 (total Asians) - 80 (Japanese) = 160 (Chinese)\n\nWe are told that the number of boys on the Chinese team was 60. Since we're looking for the number of girls on the Chinese team, we need to subtract the number of boys from the total number of Chinese Asians:\n\n160 (Chinese Asians) - 60 (Chinese boys) = 100 (Chinese girls)\n\nSo, there were $100$ girls on the Chinese team.\n\nAnswer:\n\n$100$", "answer": {"result": 100}}, "matches": true} +{"solution": {"solution": "\n\nZaid's salary is $6000 per month. \n\nHe spends 1/4 of his salary on rent, so he spends 6000 * 1/4 = $1500 on rent. \n\nHe spends 1/3 of his salary on car fuel, so he spends 6000 * 1/3 = $2000 on car fuel. \n\nThe total amount he spends on rent and car fuel is 1500 + 2000 = $3500. \n\nThe remaining amount after rent and car fuel is 6000 - 3500 = $2500. \n\nHe donates half of the remaining amount to his favorite charity, so he donates 2500 / 2 = $1250. \n\nAfter donating, he has 2500 - 1250 = $1250 remaining. \n\nHe gives his daughter 200$ for her weekly expenses, so he has 1250 - 200 = $1050 remaining. \n\nHe gives his wife 700$ for groceries and other household goods, so he has 1050 - 700 = $350 remaining. \n\nTherefore, Zaid will still have $350 after all these expenses and donations. \n\n#### 350\nThe answer is: 350", "answer": {"result": 350}}, "matches": true} +{"solution": {"solution": "If Bo has 40 crabs, Monic has 4 fewer crabs, which means Monic has 40 - 4 = 36 crabs.\n\nRani has ten more crabs than Monic, so Rani has 36 + 10 = 46 crabs.\n\nThe total number of crabs the three have together is the sum of their individual crabs: \nBo's crabs + Monic's crabs + Rani's crabs = 40 + 36 + 46 = 122 crabs.\n\nTherefore, the total number of crabs the three have together is $\\boxed{122}$ .", "answer": {"result": 122}}, "matches": true} +{"solution": {"solution": "Lloyd earns $10 an hour for Math tutoring. \nFor the first week, he tutored for 5 hours, so he earned 5 * $10 = $50. \nFor the second week, he tutored for 8 hours, so he earned 8 * $10 = $80. \nIn total, for the first two weeks, he earned $50 + $80 = $130. \n#### 130\nThe answer is: 130", "answer": {"result": 130}}, "matches": true} +{"solution": {"solution": "If the winner got 3/4 of the votes, then the loser got 1 - 3/4 = 1/4 of the votes.\n\nThe total number of votes is 80.\n\nSo, the loser received (1/4) * 80 = 20 votes. \n\nTherefore, the loser got $\\boxed{20}$ votes.The answer is: 20", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "Let's denote the number of white carnations Sandra ordered as \\( W \\).\n\nAccording to the problem, Sandra ordered four times as many red roses as white carnations. So, the number of red roses \\( R \\) is:\n\n\\[ R = 4W \\]\n\nIt is also given that she ordered 200 pink calla lilies, which were five times the number of white carnations. So, we can write:\n\n\\[ 200 = 5W \\]\n\nNow, we can solve for \\( W \\) from the second equation:\n\n\\[ W = \\frac{200}{5} \\]\n\\[ W = 40 \\]\n\nNow that we know the number of white carnations, we can find the number of red roses:\n\n\\[ R = 4W \\]\n\\[ R = 4 \\times 40 \\]\n\\[ R = 160 \\]\n\nTo keep Sandra's business, Fred must deliver all the missing red roses. Since Sandra has not received any red roses yet, all 160 red roses are missing.\n\nTherefore, Fred must deliver $\\boxed{160}$ red roses by 5 pm.", "answer": {"result": 160}}, "matches": true} +{"solution": {"solution": "Two years ago Mark was 5 years older than half Jan's age, so Mark was 5 + 1/2 * 30 = 15 + 15 = 30 years old.\n\nSince Mark is currently 2 years younger than the age he was two years ago, Mark is currently 30 - 2 = 28 years old.\n\nJean is two years older than Mark, so Jean is 28 + 2 = $\\boxed{30}$ years old.", "answer": {"result": 30}}, "matches": false} +{"solution": {"solution": "I need to compare the total times for both teams and find the difference.\n\nFor the faster team, each runner runs 400 meters in 55 seconds, so the total time is 4 times 55, which is 220 seconds.\n\nFor the slower team, the first runner runs 400 meters in 60 seconds, the second runner runs in 57 seconds, the third runner runs in 54 seconds, and the fourth runner runs in 51 seconds.\n\nTo find the total time for the slower team, I can add up these individual times: 60 + 57 + 54 + 51 = 222 seconds.\n\nTo find the difference, I can subtract the faster team's time from the slower team's time: 222 - 220 = 2 seconds.\n\nSo the faster team will win by 2 seconds.\n\nThe answer is: 2", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "1. **Probability of Rolling a Number Greater Than 3**:\n - The numbers greater than 3 on a six-sided die are 4, 5, and 6.\n - There are 3 favorable outcomes out of 6 possible outcomes.\n - Therefore, the probability of rolling a number greater than 3 is:\n \\[\n P(\\text{Greater than 3}) = \\frac{3}{6} = \\frac{1}{2} = 0.5\n \\]\n\n2. **Probability of Rolling Two Even Numbers in a Row**:\n - The even numbers on a six-sided die are 2, 4, and 6.\n - There are 3 favorable outcomes for the first roll (2, 4, or 6).\n - For the second roll, the favorable outcomes are still 2, 4, and 6, but only if the first roll was also an even number.\n - Thus, there are 3 favorable outcomes for the second roll.\n - The total number of favorable outcomes for rolling two even numbers in a row is the product of the favorable outcomes for each roll:\n \\[\n P(\\text{Two evens in a row}) = \\frac{3}{6} \\times \\frac{3}{6} = \\frac{1}{2} \\times \\frac{1}{2} = \\frac{1}{4} = 0.25\n \\]\n\n3. **Difference in Probabilities**:\n - To find how much more likely it is to roll a number greater than 3 than to roll two even numbers in a row, we subtract the probability of rolling two even numbers from the probability of rolling a number greater than 3:\n \\[\n \\text{Difference} = 0.5 - 0.25 = 0.25\n \\]\n\n4. **Convert Difference to Percentage**:\n - To express the difference as a percentage, we multiply by 100:\n \\[\n \\text{Percentage Difference} = 0.25 \\times 100 = 25\\%\n \\]\n\n### Conclusion:\n\\[\n\\boxed{25\\%}\n\\]", "answer": {"result": 25}}, "matches": true} +{"solution": {"solution": "\nIf Jenna's mom picked 20 apples, and Jenna picked half as many as her mom, then Jenna picked 20 / 2 = 10 apples.\n\nTo find the total number of apples they picked together, we add Jenna's apples to her mom's apples: 10 apples + 20 apples = 30 apples.\n\nSo, Jenna and her mom picked a total of 30 apples.\n\nThe final answer is 30 apples.\n\nAnswer: \\boxed{30}", "answer": {"result": 30}}, "matches": true} +{"solution": {"solution": "1. Let's denote the number of rats in each cage as \\( r \\).\n2. Each rat receives 6 pieces of straw.\n3. There are 3 cages of rats, so the total number of rats is \\( 3r \\).\n4. The total amount of straw given to the rats is \\( 3r \\times 6 = 18r \\).\n5. For the hamsters, there are 10 cages, and each receives 5 pieces of straw.\n - Total straw for hamsters: \\( 10 \\times 5 = 50 \\)\n6. The rabbits receive 20 pieces of straw collectively.\n7. The total straw distributed is 160 pieces.\n8. We can set up the equation:\n \\[\n 18r + 50 + 20 = 160\n \\]\n9. Simplify the equation:\n \\[\n 18r + 70 = 160\n \\]\n10. Subtract 70 from both sides:\n \\[\n 18r = 90\n \\]\n11. Divide both sides by 18:\n \\[\n r = 5\n \\]\n\n### Conclusion:\nThe number of rats in each cage is \\(\\boxed{5}\\).", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "The monthly interest rate is 2%, so for 3 months, the interest would be 2% x 3 = 6%.\n\nMandy owes $100, and the interest for 3 months is 6% of $100, which is $100 x 0.06 = $6.\n\nTherefore, Mandy should give Benedict $100 (the original amount owed) + $6 (the interest) = $106.\n\n#### 106\nThe answer is: 106", "answer": {"result": 106}}, "matches": true} +{"solution": {"solution": "\n\nLet's denote the number of bags the trader bought as $n$.\n\n1. The cost price (CP) for each bag is $20.\n2. The transportation cost for each bag is $2.\n3. Therefore, the total cost (TC) for each bag, including both the purchase price and transportation, is $20 + $2 = $22.\n\n4. The selling price (SP) for each bag is $30.\n5. The profit for each bag is the selling price minus the total cost: $30 - $22 = $8.\n\n6. The total profit from selling $n$ bags is $400.\n\n7. We can set up the equation for total profit:\n \\[\n \\text{Total Profit} = \\text{Number of bags sold} \\times \\text{Profit per bag}\n \\]\n Substituting the given values:\n \\[\n 400 = n \\times 8\n \\]\n\n8. Solving for $n$:\n \\[\n n = \\frac{400}{8} = 50\n \\]\n\nTherefore, the trader sold 50 bags.\n\n### Conclusion:\n\n\\[\n\\boxed{50}\n\\]", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "\n\nFirst, let's find out the total cost of the tickets and the food. \n\nThe tickets cost $20.25 in total. \n\nThe food cost $4.50 less than the tickets, so it cost $20.25 - $4.50 = $15.75. \n\nNext, let's find out the total cost of the rides. \n\nThey went on 2 rides, each costing $33, so the total cost of the rides is $33 * 2 = $66. \n\nNow, let's find the total amount they spent by adding up the cost of the tickets, food, and rides. \n\nTotal spent = Cost of tickets + Cost of food + Cost of rides\nTotal spent = $20.25 + $15.75 + $66 = $102. \n\nFinally, let's divide the total amount spent by the number of friends to find out how much each friend paid. \n\nEach friend paid = Total spent / Number of friends\nEach friend paid = $102 / 3 = $34. \n\nSo, each friend paid $34. \n\nAnswer: \\boxed{34}", "answer": {"result": 34}}, "matches": true} +{"solution": {"solution": "\nTo find the total number of peaches John collects, we can multiply the number of peaches he collects per minute by the total number of minutes he spends collecting.\n\nJohn collects peaches for 3 hours, which is equal to 3 x 60 = 180 minutes.\n\nHe collects 2 peaches per minute, so the total number of peaches he collects is 2 x 180 = 360 peaches.\n\nTherefore, John collects 360 peaches.\n\nAnswer: \\boxed{360}", "answer": {"result": 360}}, "matches": true} +{"solution": {"solution": "To find the daily insect consumption for the flock of ducks, we first calculate the total weekly consumption and then divide by the number of days in a week.\n\n1. Calculate the total weekly consumption:\n - 10 ducks * 3.5 pounds/duck = 35 pounds/week\n\n2. Convert the weekly consumption to daily consumption:\n - 35 pounds/week \u00f7 7 days/week = 5 pounds/day\n\nThus, the flock of ducks needs $\\boxed{5}$ pounds of insects per day.", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "Tom plants 10 trees a year for 10 years, so he plants a total of 10 * 10 = 100 trees.\n\nTom chops down 2 trees a year for 10 years, so he chops down a total of 2 * 10 = 20 trees.\n\nHe starts with 50 trees, so after 10 years, he would have 50 + 100 - 20 = 130 trees.\n\nAfter 10 years, 30% of the trees die, so he loses 30% of 130 trees. \n\n30% of 130 is (30/100) * 130 = 39 trees.\n\nSo, after 30% of the trees die, Tom has 130 - 39 = $\\boxed{91}$ trees left.", "answer": {"result": 91}}, "matches": true} +{"solution": {"solution": "On Friday, the neighbors placed 18 pink flamingos out on Sue's front yard.\n\nOn Saturday, they took back 1/3 of the flamingos, which is (1/3) * 18 = 6 flamingos.\n\nThey painted these 6 flamingos white and added them back to the yard, so now there are 18 pink flamingos + 6 white flamingos = 24 flamingos.\n\nOn Sunday, they added another 18 pink flamingos to the collection, making the total number of flamingos 24 (from Saturday) + 18 (from Sunday) = 42 flamingos.\n\nTo find out how many more pink flamingos there are than white flamingos at noon on Sunday, we subtract the number of white flamingos from the number of pink flamingos: 42 pink flamingos - 6 white flamingos = $\\boxed{36}$ more pink flamingos than white flamingos.The answer is: 36", "answer": {"result": 36}}, "matches": false} +{"solution": {"solution": "Violetta needs 5 different colors of crayons, and each crayon costs $2. \n\nSo, the total cost for 5 crayons would be 5 * $2 = $10.\n\nVioletta prepared $20 for this purchase. \n\nTherefore, the change she will get is $20 - $10 = $\\boxed{\\$10}$ .", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "First, we need to determine the cost of one pen. Since a pen costs as much as a pencil and an eraser combined, we add the cost of the pencil and the eraser together:\n\nCost of pencil = $1.20\nCost of eraser = $0.30\nTotal cost of pencil and eraser = $1.20 + $0.30 = $1.50\n\nNow that we know a pen costs $1.50, we can calculate the total cost for 8 pens:\n\nCost of 8 pens = 8 * $1.50 = $12.00\n\nTherefore, 8 pens will cost $\\$12.00$ .", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "To find out how many pounds of carrots will not be used, we first need to determine the total amount of carrots that will be used by the 40 restaurants. Since each restaurant is to receive 2 pounds of carrots, we calculate the total amount used as follows:\n\n- Total carrots used = Number of restaurants \u00d7 Carrots per restaurant\n- Total carrots used = 40 \u00d7 2\n- Total carrots used = 80 pounds\n\nNow, we know that there are 200 pounds of carrots in total and 80 pounds of them will be used. To find out how many pounds will not be used, we subtract the total amount used from the total amount available:\n\n- Carrots not used = Total carrots - Total carrots used\n- Carrots not used = 200 - 80\n- Carrots not used = 120 pounds\n\nTherefore, the number of pounds of carrots that will not be used is $120$.", "answer": {"result": 120}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the total number of adults:**\n\n We know there are 8417 men and 9092 women in the city of Soda. To find the total number of adults, we sum the number of men and women:\n \\[\n \\text{Total number of adults} = 8417 \\, (\\text{men}) + 9092 \\, (\\text{women})\n \\]\n\n2. **Calculate the number of adults:**\n \\[\n 8417 + 9092 = 17509\n \\]\n\n3. **Calculate the number of children:**\n\n We are given the total population of the city is 23786. To find the number of children, we subtract the total number of adults from the total population:\n \\[\n \\text{Number of children} = 23786 - 17509\n \\]\n\n4. **Perform the subtraction:**\n \\[\n 23786 - 17509 = 6277\n \\]\n\n5. **Conclusion:**\n\n The number of children in the city of Soda is:\n \\[\n \\boxed{6277}\n \\]", "answer": {"result": 6277}}, "matches": true} +{"solution": {"solution": "Elaine initially had 20 Pokemon cards. \n\nAfter a month, she collected three times that number, so she collected 3 * 20 = 60 cards. \n\nIn the second month, she collected 20 fewer cards than those she collected in the first month, so she collected 60 - 20 = 40 cards.\n\nIn the third month, she collected twice the combined number of Pokemon cards she collected in the first and second months. So, she collected 2 * (20 + 40) = 2 * 60 = 120 cards.\n\nIn total, Elaine now has 20 (initial) + 60 (first month) + 40 (second month) + 120 (third month) = 240 Pokemon cards. \n\n#### 240\nThe answer is: 240", "answer": {"result": 240}}, "matches": false} +{"solution": {"solution": "Mark edits an equal number of sentences for each publisher, so he edits 1000 / 2 = 500 sentences for each publisher.\nPublisher A pays Mark 5 cents per sentence, so he earns 500 * 5 = 2500 cents from Publisher A.\nPublisher B pays Mark twice what Publisher A pays, so he earns 2500 * 2 = 5000 cents from Publisher B.\nIn total, Mark makes 2500 + 5000 = 7500 cents in a week.\n#### 7500\nThe answer is: 7500", "answer": {"result": 7500}}, "matches": true} +{"solution": {"solution": "Baldur gets 5 pails of water every morning, so he gets 5 * 5 = 25 liters of water in the morning.\nHe also gets 6 pails of water every afternoon, so he gets 6 * 5 = 30 liters of water in the afternoon.\nTherefore, Baldur gets a total of 25 + 30 = 55 liters of water every day.\n#### 55\nThe answer is: 55", "answer": {"result": 55}}, "matches": true} +{"solution": {"solution": "First, let's calculate the raise in salary. John gets a 5% raise on his weekly salary of $2000. \n\n5% of $2000 = 0.05 * $2000 = $100\n\nSo, his new weekly salary after the raise is:\n\n$2000 + $100 = $2100\n\nNow, let's calculate his annual salary before the award:\n\n$2100 per week * 52 weeks per year = $109,200 per year\n\nNext, we add the one-time monetary reward of $5000 to his annual salary:\n\n$109,200 + $5000 = $114,200\n\nTherefore, John made $\\boxed{\\$114,200}$ that year.", "answer": {"result": 114200}}, "matches": true} +{"solution": {"solution": "Josie has a 10-acre farm, and each acre produces 5 tons of grapes per year.\nSo, her farm produces a total of 10 * 5 = 50 tons of grapes per year.\nAnd each ton of grapes makes 2 barrels of wine.\nTherefore, her farm produces 50 * 2 = 100 barrels of wine per year.\n#### 100\nThe answer is: 100", "answer": {"result": 100}}, "matches": true} +{"solution": {"solution": "Carl ate a sandwich every day for lunch, so he used 2 slices of cheese per sandwich. There are 7 days in a week, so he used 2 slices/sandwich x 7 sandwiches = 14 slices of cheese for lunch.\n\nHe also ate cheese and egg omelets for breakfast 3 days in the week, using one more slice per omelet than he did per sandwich. Since he used 2 slices for the sandwiches, he used 2 slices + 1 slice = 3 slices per omelet. For the 3 omelets, he used 3 slices/omelet x 3 omelets = 9 slices of cheese for breakfast.\n\nHe made a big dish of macaroni and cheese for several dinners and used 8 slices of cheese in it.\n\nTo find the total number of slices he used, we add the slices used for lunch, breakfast, and the macaroni and cheese dish: 14 slices (lunch) + 9 slices (breakfast) + 8 slices (macaroni and cheese) = 31 slices of cheese.\n\nCarl used a total of $\\boxed{31}$ slices of cheese.", "answer": {"result": 31}}, "matches": true} +{"solution": {"solution": "Janet initially had 22 green pens and 10 yellow pens, so she had a total of 22 + 10 = 32 pens. \n\nShe bought 6 bags of blue pens, with 9 pens in each bag, so she bought 6 * 9 = 54 blue pens. \n\nShe also bought 2 bags of red pens, with 6 pens in each bag, so she bought 2 * 6 = 12 red pens. \n\nIn total, Janet bought 54 blue pens + 12 red pens = 66 pens. \n\nNow, she adds the 66 new pens to her initial 32 pens, so she has 32 + 66 = 98 pens. \n\nJanet now has $\\boxed{98}$ pens in total.", "answer": {"result": 98}}, "matches": true} +{"solution": {"solution": "1. **Sum of the first five scores**:\n \\[\n 89 + 71 + 92 + 100 + 86 = 438\n \\]\n\n2. **Desired total score for the semester**:\n Brinley wants an average of 93 over six tests. Therefore, the total score she needs is:\n \\[\n 93 \\times 6 = 558\n \\]\n\n3. **Calculate the score needed on the sixth test**:\n To find out what score she needs on the sixth test to maintain an average of 93, subtract the sum of her first five scores from the desired total:\n \\[\n 558 - 438 = 120\n \\]\n\n4. **Conclusion**:\n Brinley needs a score of $\\boxed{120}$ on her sixth test to maintain an average of 93 over the six tests.", "answer": {"result": 120}}, "matches": false} +{"solution": {"solution": "Micheal rode his bike at least 5 times a week for four weeks, so he rode his bike 5 * 4 = 20 times in total.\nEach time he rode his bike for 25 kilometers, so he covered a distance of 20 * 25 = 500 kilometers in total for the first four weeks.\nFor the next three weeks, he decided to ride his bike only 2 times a week, but for 60 kilometers each time, so he rode his bike 2 * 3 = 6 times in total.\nEach time he rode his bike for 60 kilometers, so he covered a distance of 6 * 60 = 360 kilometers in total for the next three weeks.\nIn total, Micheal rode his bike for 500 + 360 = 860 kilometers.\n#### 860\nThe answer is: 860", "answer": {"result": 860}}, "matches": true} +{"solution": {"solution": "\nIf each chocolate bar weighs 40g, and each chocolate bar weighs twice as much as each candied apple, then each candied apple weighs 40g / 2 = 20g.\n\nJoe's bag of candy has 25 chocolate bars, so the total weight of the chocolate bars is 25 * 40g = 1000g.\n\nJoe's bag of candy also has 80 candied apples, so the total weight of the candied apples is 80 * 20g = 1600g.\n\nThe total weight of Joe's bag of candy is 1000g + 1600g = 2600g.\n\n#### 2600\nThe answer is: 2600", "answer": {"result": 2600}}, "matches": true} +{"solution": {"solution": "Rose bought 4 cakes on Monday. \nOn Tuesday, she bought three times that number, so she bought 4 x 3 = 12 cakes. \nOn Wednesday, she bought five times the number she bought on Tuesday, so she bought 12 x 5 = 60 cakes. \nIn total, Rose bought 4 + 12 + 60 = 76 cakes after all three days. \n#### 76\nThe answer is: 76", "answer": {"result": 76}}, "matches": true} +{"solution": {"solution": "\nFirst, let's calculate the cost of half a dozen plates. Since a dozen is 12, half a dozen is 6.\n\nThe cost of each plate is $6000.\n\nSo, the cost of half a dozen plates is:\n6 plates * $6000/plate = $36000\n\nNow, we know that twenty dozen cups cost $1200 less than this amount.\n\nSo, the cost of twenty dozen cups is:\n$36000 - $1200 = $34800\n\nSince a dozen is 12, twenty dozen is:\n20 dozen * 12 cups/dozen = 240 cups\n\nTo find the cost per cup, we divide the total cost by the number of cups:\n$34800 / 240 cups = $145 per cup\n\nTherefore, the total cost of buying each cup is $\\boxed{\\$145}$ .\n\nAnswer: \\$145", "answer": {"result": 145}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total cost of the jacket and shoes. \n\nThe jacket costs $30, and each pair of shoes costs $20. Since she wants 2 pairs of shoes, the total cost for the shoes is 2 * $20 = $40. \n\nNow, let's add the cost of the jacket and the shoes together: $30 (jacket) + $40 (shoes) = $70. \n\nSara already has $10 saved. So, she needs to earn an additional $70 - $10 = $60. \n\nLet's calculate how much she earns from babysitting and mowing the lawn. \n\nFrom babysitting, she earns $5 each time. If she babysits 4 times, she earns 4 * $5 = $20. \n\nNow, let's subtract the amount she earns from babysitting from the total amount she needs: $60 - $20 = $40. \n\nThis means Sara needs to earn an additional $40 from mowing the lawn. \n\nIf she earns $4 each time she mows the lawn, she needs to mow the lawn $40 / $4 = 10 times. \n\nTherefore, Sara must mow the lawn $\\boxed{10}$ times before she can afford the jacket and shoes.", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "\nLet's denote the number of red chickens as $x$ and the number of white chickens as $x+2$. \n\nThe red chickens produce 3 eggs each, so the total number of eggs produced by red chickens is $3x$. \nThe white chickens produce 5 eggs each, so the total number of eggs produced by white chickens is $5(x+2) = 5x + 10$. \n\nThe total number of eggs collected each day is the sum of the eggs produced by red and white chickens, which is $3x + (5x + 10) = 8x + 10$. \n\nWe know that Jerry collects 42 eggs each day, so we can set up the equation $8x + 10 = 42$. \n\nSolving for $x$, we have:\n\n$8x + 10 = 42$\n$8x = 42 - 10$\n$8x = 32$\n$x = \\frac{32}{8}$\n$x = 4$\n\nTherefore, Jerry has $\\boxed{4}$ red chickens.The answer is: 4", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "1. Calculate the total perimeter of the park:\n - The park is a rectangle with dimensions 1.5 miles and 6 miles.\n - Using the formula for the perimeter of a rectangle, $P = 2l + 2w$, where $l$ is length and $w$ is width:\n \\[\n P = 2(1.5) + 2(6) = 3 + 12 = 15 \\text{ miles}\n \\]\n\n2. Determine the time Gary spends walking:\n - Gary walks at a speed of 3 miles per hour.\n - To find the time, use the formula $t = \\frac{\\text{distance}}{\\text{rate}}$:\n \\[\n t = \\frac{15 \\text{ miles}}{3 \\text{ miles/hour}} = 5 \\text{ hours}\n \\]\n\n3. Conclusion:\n - Gary spends $\\boxed{5}$ hours walking around the park.\n\nThe solution follows the correct steps to determine the time Gary spends walking by calculating the perimeter of the rectangle and dividing it by his walking speed. The final answer is consistent with the problem's requirements.", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "On the second day, Sloane counts 50 more customers than the first day, so she counts 100 + 50 = 150 customers.\n\nOn the third day, the total number of customers is 500. To find out how many customers Sloane counted on the third day, we subtract the number of customers on the second day from the total number of customers by the third day.\n\n500 (total number of customers by the third day) - 150 (number of customers on the second day) = 350 customers.\n\nTherefore, Sloane counted 350 customers on the third day.\n\nThe answer is 350.\n\nThe final answer is 350.", "answer": {"result": 350}}, "matches": false} +{"solution": {"solution": "\n1. Let the initial amount of water in the small pool be \\( s \\) gallons.\n2. The initial amount of water in the big pool is therefore \\( 2s \\) gallons.\n3. Over the past 4 minutes, both pools have been losing water at a rate of 4 gallons per minute.\n4. Therefore, in 4 minutes, each pool has lost \\( 4 \\times 4 = 16 \\) gallons of water.\n5. After 4 minutes, the amount of water in the small pool is:\n \\[\n s - 16\n \\]\n6. Similarly, the amount of water in the big pool after 4 minutes is:\n \\[\n 2s - 16\n \\]\n7. At this point, it is given that the big pool has four times the amount of water as the small pool. Thus, we set up the equation:\n \\[\n 2s - 16 = 4(s - 16)\n \\]\n8. Expand and solve for \\( s \\):\n \\[\n 2s - 16 = 4s - 64\n \\]\n9. Subtract \\( 2s \\) from both sides:\n \\[\n -16 = 2s - 64\n \\]\n10. Add 64 to both sides:\n \\[\n 48 = 2s\n \\]\n11. Divide both sides by 2:\n \\[\n s = 24\n \\]\n12. Therefore, the initial amount of water in the small pool was 24 gallons.\n13. After 4 minutes, the amount of water in the small pool is:\n \\[\n 24 - 16 = 8 \\text{ gallons}\n \\]\n\n### Conclusion:\nThe small pool has 8 gallons of water now.\n\\[\n\\boxed{8}\n\\]", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "To determine the number of hours Lori needs to work to afford both the shoes and the belt, we follow these steps:\n\n1. First, calculate the total cost of the shoes and the belt combined:\n - The cost of the shoes is $320.00.\n - The cost of the belt is $32.00.\n - Therefore, the total cost is $320.00 + $32.00 = $352.00.\n\n2. Next, to find out how many hours Lori needs to work to earn this amount, we divide the total cost by her hourly wage:\n - Lori earns $8.00 per hour.\n - The total amount she needs to earn is $352.00.\n - So, the number of hours she needs to work is $352.00 / $8.00 = 44 hours.\n\nThus, Lori will have to work $\\boxed{44}$ hours to afford the shoes and the belt.", "answer": {"result": 44}}, "matches": true} +{"solution": {"solution": "Janeth borrowed $2000 and promised to return it with an additional 10% of the amount.\n10% of $2000 is $2000 * 10% = $200.\nSo Janeth needs to return $2000 + $200 = $2200.\nShe will be paying $165 a month for 12 months, so the total amount she will pay is $165 * 12 = $1980.\nTo find her remaining balance, we subtract the total amount she will pay from the total amount she needs to return: $2200 - $1980 = $220.\nTherefore, Janeth's remaining balance will be $220.\n#### 220\nThe answer is: 220", "answer": {"result": 220}}, "matches": true} +{"solution": {"solution": "If there are 4 roses in the vase, and there are 7 more dahlias than roses, then there are 4 + 7 = 11 dahlias in the vase. \n\nTo find the total number of flowers in the vase, we add the number of roses and dahlias together: 4 roses + 11 dahlias = 15 flowers. \n\nSo, there are $\\boxed{15}$ flowers in the vase in total.", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "\nIf Harriet is currently 21 years old, Adrian's age is three times Harriet's age, so Adrian is 3 * 21 = 63 years old.\n\nHarriet is half the age of Zack, so Zack's age is 2 * 21 = 42 years old.\n\nIn three years, Harriet will be 21 + 3 = 24 years old.\n\nIn three years, Adrian will be 63 + 3 = 66 years old.\n\nIn three years, Zack will be 42 + 3 = 45 years old.\n\nTo calculate the average age of the three in three years, we add their ages and divide by the number of people.\n\n(24 + 66 + 45) / 3 = 135 / 3 = 45\n\nThe average age of the three in three years will be 45 years old.\n\n#### 45\nThe answer is: 45", "answer": {"result": 45}}, "matches": true} +{"solution": {"solution": "\nLet's break down the information given in the problem step by step:\n\n1. **Total points scored by all students:**\n - Naomi scored 68 points.\n - Yuri scored 10 more than half as many points as Naomi.\n - Brianna scored 17 points more than Naomi.\n - Jojo's score is unknown.\n\n The total points scored by all four students is 251. Therefore, we can set up the equation:\n \\[\n \\text{Naomi's score} + \\text{Yuri's score} + \\text{Brianna's score} + \\text{Jojo's score} = 251\n \\]\n\n2. **Determine Yuri's score:**\n - Yuri scored 10 more than half as many points as Naomi.\n - Half of Naomi's score is:\n \\[\n \\frac{68}{2} = 34\n \\]\n - Yuri's score is:\n \\[\n 34 + 10 = 44\n \\]\n\n3. **Determine Brianna's score:**\n - Brianna scored 17 points more than Naomi.\n - Brianna's score is:\n \\[\n 68 + 17 = 85\n \\]\n\n4. **Substitute Naomi's, Yuri's, and Brianna's scores into the total equation:**\n - Substituting the known scores into the total points equation:\n \\[\n 68 + 44 + 85 + \\text{Jojo's score} = 251\n \\]\n\n5. **Solve for Jojo's score:**\n - Combine the known scores:\n \\[\n 68 + 44 + 85 = 197\n \\]\n - Subtract the combined known scores from the total points:\n \\[\n 251 - 197 = 54\n \\]\n\nThus, the score of Jojo is:\n\n\\[\n\\boxed{54}\n\\]", "answer": {"result": 54}}, "matches": true} +{"solution": {"solution": "To find out how much time Carmen spent on crossword puzzles, we multiply the time it takes to complete one puzzle by the number of puzzles she solved:\n\n- Time for crossword puzzles: $10 \\text{ minutes/puzzle} \\times 3 \\text{ puzzles} = 30 \\text{ minutes}$\n\nFor the sudoku puzzles, we follow the same process:\n\n- Time for sudoku puzzles: $5 \\text{ minutes/puzzle} \\times 8 \\text{ puzzles} = 40 \\text{ minutes}$\n\nTo find the total time Carmen spent on both types of puzzles, we add the times together:\n\n- Total time: $30 \\text{ minutes} + 40 \\text{ minutes} = 70 \\text{ minutes}$\n\nTherefore, Carmen spent a total of $\\boxed{70}$ minutes solving crossword and sudoku puzzles over the weekend.", "answer": {"result": 70}}, "matches": true} +{"solution": {"solution": "Celine used 90 liters of water from the tank, so there are 120 - 90 = 30 liters of water left.\nThe rainwater collected is twice as much as what was left, so there are 30 x 2 = 60 liters of rainwater collected.\nThe total amount of water in the tank now is 30 + 60 = 90 liters.\n#### 90\nThe answer is: 90", "answer": {"result": 90}}, "matches": true} +{"solution": {"solution": "First, we calculate the number of petunias Andy plants. Since he plants 40 fewer petunias than geraniums, we subtract 40 from the number of geraniums: \n\n\\[90 - 40 = 50 \\text{ petunias}\\]\n\nNext, we find the total number of flowers by adding the geraniums and petunias:\n\n\\[90 + 50 = 140 \\text{ flowers}\\]\n\nTherefore, Andy plants a total of $\\boxed{140}$ flowers.", "answer": {"result": 140}}, "matches": true} +{"solution": {"solution": "To find the total amount the company spent on advertising for two years, we first calculate the amount spent in the second year. This is one-third of the amount spent in the first year. \n\nGiven that the company spent $15000 in the first year, the amount spent in the second year is calculated as follows:\n\\[ \\frac{15000}{3} = 5000 \\]\n\nNext, to find the total amount spent over the two years, we add the amount spent in the first year to the amount spent in the second year:\n\\[ 15000 + 5000 = 20000 \\]\n\nTherefore, the total amount the company spent on advertising for the two years is $\\boxed{20000}$.", "answer": {"result": 20000}}, "matches": true} +{"solution": {"solution": "Carlos rents a canoe for $30 an hour and uses it for 3 hours, so he will pay 30 * 3 = $90 for the boat rental.\nBenji rents a banana boat raft for $18 an hour and uses it for 5 hours, so he will pay 18 * 5 = $90 for the raft rental.\nAltogether, Carlos and Benji will pay 90 + 90 = $180 for their rentals.\n#### 180\nThe answer is: 180", "answer": {"result": 180}}, "matches": true} +{"solution": {"solution": "First, let's determine how many days it takes to travel from New Jersey to Rochester by car. Since it takes 6 days by bus and that's half the time it takes by car, it takes 6 * 2 = 12 days to travel by car.\n\nNow, let's calculate the total travel time for the round trip. Andrew will travel from New Jersey to Rochester by bus, which takes 6 days. He will then return from Rochester to New Jersey by car, which takes 12 days. \n\nAdding these two durations together, the total travel time for the round trip is 6 days (by bus) + 12 days (by car) = 18 days.\n\nTherefore, Andrew will travel for a total of 18 days on this round trip.\n\nThe final answer is $18$ days.", "answer": {"result": 18}}, "matches": false} +{"solution": {"solution": "\nJames initially has 40 water type cards. After losing 8, he has 40 - 8 = 32 water type cards.\n\nHe also has 20 grass type cards, and after buying 14 more, he now has 20 + 14 = 34 grass type cards.\n\nThe total number of cards he has now is 30 fire type + 34 grass type + 32 water type = 96 cards.\n\nThe probability of picking a water type card is the number of water type cards divided by the total number of cards, which is 32 / 96.\n\nTo convert this probability to a percentage, we multiply by 100: (32 / 96) * 100 = 33.33%.\n\nRounded to the nearest integer, the percentage chance of picking a water type card is $33\\%$ .\n\nAnswer: 33", "answer": {"result": 33}}, "matches": true} +{"solution": {"solution": "The base burrito is $6.50. \n\nHe adds extra meat for $2.00, extra cheese for $1.00, avocado for $1.00, and 2 sauces for $0.25 each. \n\nThe total cost of the extras is $2 + $1 + $1 + 2 * $0.25 = $2 + $1 + $1 + $0.50 = $4.50. \n\nHe decides to upgrade his meal for an extra $3.00. \n\nThe total cost of the burrito so far is $6.50 + $4.50 + $3.00 = $14.00. \n\nHe has a gift card for $5.00 that he uses at checkout. \n\nThe total cost after using the gift card is $14.00 - $5.00 = $9.00. \n\nTherefore, Chad still owes $9.00. \n\n#### 9\nThe answer is: 9", "answer": {"result": 9}}, "matches": true} +{"solution": {"solution": "\nKalinda can add 4 pieces per minute, so in one hour, she can add 4 pieces/minute x 60 minutes/hour = 240 pieces/hour.\nHer mom can place half as many pieces per minute as Kalinda, so she can place 4 pieces/minute / 2 = 2 pieces/minute.\nIn one hour, her mom can place 2 pieces/minute x 60 minutes/hour = 120 pieces/hour.\n\nTogether, Kalinda and her mom can place 240 pieces/hour + 120 pieces/hour = 360 pieces/hour.\n\nSince the puzzle has 360 pieces, it will take them 1 hour to complete the puzzle.\n\n#### 1\nThe answer is: 1", "answer": {"result": 1}}, "matches": true} +{"solution": {"solution": "\n\nTwo months, which is 2/12 of a year, passed between Ashlyn's first visit and her second visit. \n\nDuring the first visit, 30% of the watermelons were ready for harvest, so Ashlyn took home 30/100 * 120 = 36 watermelons.\n\nThe remaining watermelons after the first harvest were 120 - 36 = 84 watermelons.\n\nWhen Ashlyn returned two weeks later, 3/4 of the remaining watermelons were ready for harvest, so she took home 3/4 * 84 = 63 watermelons.\n\nThe number of watermelons that were not ready to be harvested after the second visit was 84 - 63 = 21 watermelons.\n\nTherefore, 21 watermelons were not ready to be harvested after the two weeks.\n\nAnswer: 21", "answer": {"result": 21}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total cost of the cars before tax and registration. \n\nCost of each car = $20,000\nNumber of cars = 12\n\nTotal cost before tax and registration = Cost of each car * Number of cars\nTotal cost before tax and registration = $20,000 * 12\nTotal cost before tax and registration = $240,000\n\nNext, let's calculate the tax on the cars.\n\nTax rate = 10%\nTotal cost before tax = $240,000\n\nTax amount = Tax rate * Total cost before tax\nTax amount = 0.10 * $240,000\nTax amount = $24,000\n\nNow, let's calculate the total cost after tax but before registration.\n\nTotal cost after tax = Total cost before tax + Tax amount\nTotal cost after tax = $240,000 + $24,000\nTotal cost after tax = $264,000\n\nFinally, let's calculate the total cost including registration.\n\nRegistration cost per car = $1,000\nNumber of cars = 12\n\nTotal registration cost = Registration cost per car * Number of cars\nTotal registration cost = $1,000 * 12\nTotal registration cost = $12,000\n\nTotal cost including everything = Total cost after tax + Total registration cost\nTotal cost including everything = $264,000 + $12,000\nTotal cost including everything = $276,000\n\nMark pays $\\boxed{\\$276,000}$ for everything.", "answer": {"result": 276000}}, "matches": true} +{"solution": {"solution": "On Monday, Kylie collects 5 more shells than Robert, who collects 20 shells. So Kylie collects 20 + 5 = 25 shells on Monday.\n\nOn Tuesday, Kylie collects 2 times more shells than she did on Monday. So she collects 25 * 2 = 50 shells on Tuesday.\n\n#### 50\nThe answer is: 50", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "If there were 50 ants, Dax found half as many bugs as ants, which means he found 50/2 = 25 bugs.\n\nTo find the total number of insects in the garden, we add the number of ants and the number of bugs:\n\n50 ants + 25 bugs = 75 insects\n\nSo, there are $\\boxed{75}$ insects in the garden.", "answer": {"result": 75}}, "matches": true} +{"solution": {"solution": "One-third of 36 is 36/3 = 12 penguins.\nSo, 12 penguins jump in and swim in the ocean, and 12 penguins go inside the cave to eat their dinner.\nTherefore, 36 - 12 - 12 = 12 penguins are still left sunbathing.\n#### 12\nThe answer is: 12", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "If Steve eats 6 tomatoes per day, then his girlfriend eats half as much, so she eats 6/2 = 3 tomatoes per day.\n\nTogether, they eat 6 + 3 = 9 tomatoes per day.\n\nSince there are 7 days in a week, they eat 9 * 7 = 63 tomatoes per week.\n\nIf a vine produces 3 tomatoes per week, then to meet their weekly consumption, Steve would need 63 / 3 = $\\boxed{21}$ vines.", "answer": {"result": 21}}, "matches": true} +{"solution": {"solution": "If each friend wants to have 4 slices and there are 20 friends, then John needs a total of 4 * 20 = 80 slices.\n\nPizzas are sold sliced into 8 portions, so to find out how many pizzas John needs to order, we divide the total number of slices needed by the number of slices per pizza: 80 / 8 = 10 pizzas.\n\nJohn needs to order $\\boxed{10}$ pizzas.", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "Ram starts with 25 pens.\nWhen the ink in one pen runs low, he can mix it with 4 other empty pens to make a new full pen.\nSo, for every 5 pens, he gets 1 new full pen.\nTherefore, with 25 pens, he can make 25/5 = 5 new full pens.\nIn total, Ram will have 25 + 5 = 30 pens.\n#### 30\nThe answer is: 30", "answer": {"result": 30}}, "matches": false} +{"solution": {"solution": "\nJohnny's initial allowance was $20. \nHe added an extra $10, so his total investment was $20 + $10 = $30. \nAfter a year, his investment tripled, so he had $30 x 3 = $90. \nTherefore, Johnny had $90 after a year. \n#### 90\nThe answer is: 90", "answer": {"result": 90}}, "matches": true} +{"solution": {"solution": "\n1. **Determine Jessa's age:**\n\n Jessa's age is given as 20 years old. Therefore, we have:\n \\[\n J = 20\n \\]\n\n2. **Calculate Joan's age:**\n\n Joan is five years older than Jessa. Thus, Joan's age can be calculated as follows:\n \\[\n J_o = J + 5\n \\]\n Substituting the known value of \\( J \\):\n \\[\n J_o = 20 + 5 = 25\n \\]\n\n3. **Calculate Mary's age:**\n\n Mary is two years younger than Joan. Therefore, Mary's age can be calculated as:\n \\[\n M = J_o - 2\n \\]\n Substituting the known value of \\( J_o \\):\n \\[\n M = 25 - 2 = 23\n \\]\n\n4. **Sum the ages of the three girls:**\n\n Now, add the ages of Jessa, Joan, and Mary to get the total sum:\n \\[\n J + J_o + M = 20 + 25 + 23\n \\]\n\n Performing the addition:\n \\[\n 20 + 25 = 45\n \\]\n \\[\n 45 + 23 = 68\n \\]\n\n### Conclusion:\n\nThe sum of the ages of Jessa, Joan, and Mary is:\n\\[\n\\boxed{68}\n\\]", "answer": {"result": 68}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the number of students going out through exit A:**\n\n Initially, there are 1000 students in the hall. According to the problem, 30% of the students exited through door A.\n \n \\[\n \\text{Number of students through exit A} = 0.30 \\times 1000\n \\]\n \n Calculate:\n \n \\[\n 0.30 \\times 1000 = 300\n \\]\n \n So, 300 students exited through door A.\n\n2. **Calculate the remaining number of students after exit A:**\n\n After 300 students exited through door A, the remaining number of students is:\n \n \\[\n 1000 - 300 = 700\n \\]\n \n So, 700 students remain in the hall.\n\n3. **Determine the number of students going out through exit B:**\n\n Next, 3/5 of the remaining 700 students exited through door B.\n \n \\[\n \\text{Number of students through exit B} = \\frac{3}{5} \\times 700\n \\]\n \n Calculate:\n \n \\[\n \\frac{3}{5} \\times 700 = 420\n \\]\n \n So, 420 students exited through door B.\n\n4. **Calculate the number of students going out through exit C:**\n\n The remaining students, after exits through A and B, exited through door C.\n \n \\[\n \\text{Number of students through exit C} = 700 - 420\n \\]\n \n Calculate:\n \n \\[\n 700 - 420 = 280\n \\]\n\n### Conclusion:\n\nThe number of students who exited through door C is:\n\n\\[\n\\boxed{280}\n\\]", "answer": {"result": 280}}, "matches": true} +{"solution": {"solution": "If John has twice as many candies as Robert, and John has 54 candies, then Robert has 54/2 = 27 candies.\n\nSince James has 6 more candies than Robert, James has 27 + 6 = 33 candies.\n\nTo find out how many more candies John has than James, we subtract James's number of candies from John's:\n\n54 (John's candies) - 33 (James's candies) = 21\n\nJohn has $\\boxed{21}$ more candies than James.", "answer": {"result": 21}}, "matches": true} +{"solution": {"solution": "Dolly has two books, and Pandora has one. If they read each other's books as well as their own, they will read:\n- Dolly's books: 2\n- Pandora's books: 1\n- Dolly reading Pandora's book: 1\n- Pandora reading Dolly's book: 1\n\nAdding these together:\n\\[ 2 + 1 + 1 + 1 = 5 \\]\n\nThus, they will collectively read $\\boxed{5}$ books.The answer is: 5", "answer": {"result": 5}}, "matches": false} +{"solution": {"solution": "\nFirst, let's calculate the number of letters Mike now exchanges with his remaining pen pals. \n\nInitially, Mike was a pen pal with 5 people, but he stopped exchanging letters with 2 of them. So, he now has 5 - 2 = 3 pen pals. \n\nSince each of his 3 pen pals sends 2 letters a week, Mike receives 2 letters * 3 pen pals = 6 letters a week. \n\nMike responds to each letter with a letter of his own, so he sends 6 letters a week. \n\nEach letter is 5 pages long, so Mike writes 6 letters * 5 pages = 30 pages a week. \n\nMike can write a page every 6 minutes, so to write 30 pages, it will take him 30 pages * 6 minutes per page = 180 minutes. \n\nSince there are 60 minutes in an hour, Mike spends 180 minutes / 60 minutes per hour = $\\boxed{3}$ hours a week writing letters to his pen pals.", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "Jason has a plan of 1000 minutes per month. \nHe has a 15-minute call with his boss every day, so he uses 15 minutes x 30 days = 450 minutes for his boss calls.\nHe also had 300 extra minutes of calls to other people.\nSo, in total, Jason used 450 minutes + 300 minutes = 750 minutes.\nTherefore, Jason has 1000 minutes - 750 minutes = 250 minutes left.\n#### 250\nThe answer is: 250", "answer": {"result": 250}}, "matches": true} +{"solution": {"solution": "Let's break down the problem step by step:\n\n1. Griffin starts with 24 fries.\n2. Kyle takes 5 fries, so Griffin has 24 - 5 = 19 fries left.\n3. Billy takes twice as many as Kyle, which is 2 * 5 = 10 fries.\n4. After Billy takes his fries, Griffin has 19 - 10 = 9 fries left.\n5. Colby takes 3 less than what Kyle took, which is 5 - 3 = 2 fries.\n6. After Colby takes his fries, Griffin has 9 - 2 = 7 fries left.\n\nNow, we know that in the end, Griffin has 27 fries. We started with 9 fries and ended with 27 fries, so the difference is the number of fries Ginger gave him.\n\n27 fries (final) - 9 fries (after Colby) = 18 fries\n\nGinger gave Griffin $\\boxed{18}$ fries.", "answer": {"result": 18}}, "matches": false} +{"solution": {"solution": "\n1. Let's denote the number of fish in each aquarium by \\( x \\).\n2. According to the problem, the difference in the number of snails between the two aquariums is twice the total number of fish in both aquariums.\n3. We are given:\n - 4 snails in one aquarium.\n - 32 snails in the second aquarium.\n\n4. The total number of snails in both aquariums is:\n \\[\n 4 + 32 = 36\n \\]\n\n5. The difference in the number of snails between the two aquariums is:\n \\[\n 32 - 4 = 28\n \\]\n\n6. According to the problem statement, this difference is twice the total number of fish in both aquariums:\n \\[\n 28 = 2(2x)\n \\]\n\n7. Solving for \\( x \\):\n \\[\n 28 = 4x\n \\]\n \\[\n x = \\frac{28}{4} = 7\n \\]\n\n8. Therefore, there are 7 fish in each aquarium.\n\n### Conclusion:\n\\[\n\\boxed{7}\n\\]", "answer": {"result": 7}}, "matches": true} +{"solution": {"solution": "Jeans makeup artist charges $250 an hour and she needs makeup done for 6 hours each day, 4 times a week for 5 weeks. \n\nFirst, let's calculate the total number of hours she spends on makeup:\n6 hours/day * 4 days/week * 5 weeks = 120 hours\n\nNow, let's calculate the total cost without the discount:\n120 hours * $250/hour = $30,000\n\nThe makeup artist gives a 10% discount for the amount of work done. So, we need to calculate 10% of the total cost:\n10% of $30,000 = 0.10 * $30,000 = $3,000\n\nNow, let's subtract the discount from the total cost to find out how much Jean paid:\n$30,000 - $3,000 = $27,000\n\nJean paid $\\boxed{\\$27,000}$ for the makeup artist's services.", "answer": {"result": 27000}}, "matches": true} +{"solution": {"solution": "To find out how much each person paid, we first need to calculate the total cost of the party supplies. \n\nTotal cost = Cost of ingredients for the cake + Cost of birthday presents + Cost of decorations + Cost of invitations + Cost of goodie bags\n\nTotal cost = $12 + $43 + $15 + $4 + $22\n\nTotal cost = $96\n\nIsabelle split the cost evenly three ways with her two parents, so there are a total of 3 + 2 = 5 people sharing the cost.\n\nTo find out how much each person paid, we divide the total cost by the number of people sharing the cost:\n\nCost per person = Total cost / Number of people\n\nCost per person = $96 / 5\n\nCost per person = $19.20\n\nEach person, including Isabelle and her two parents, paid $\\boxed{\\$19.20}$ for the party supplies.", "answer": {"result": 19.2}}, "matches": false} +{"solution": {"solution": "The chef bought 4 bags of onions, and each bag weighs 50 pounds, so the total weight of the onions is 4 * 50 = 200 pounds. \n\nEach pound of onions costs $1.50, so the total cost of the onions is 200 * $1.50 = $300. \n\nTherefore, the chef spent $300 on onions. \n\n#### 300\nThe answer is: 300", "answer": {"result": 300}}, "matches": true} +{"solution": {"solution": "Let's calculate the number of cookies Sue ate each day. \n\nOn Monday, Sue ate 4 times as many cookies as her sister. Her sister ate 5 cookies, so Sue ate:\n4 times 5 = 20 cookies\n\nOn Tuesday, Sue ate twice as many cookies as her sister. Her sister ate 13 cookies, so Sue ate:\n2 times 13 = 26 cookies\n\nNow, let's calculate the total number of cookies each of them ate over the two days.\n\nSue's total:\n20 (Monday) + 26 (Tuesday) = 46 cookies\n\nHer sister's total:\n5 (Monday) + 13 (Tuesday) = 18 cookies\n\nSince 1 cookie has 200 calories, we can calculate the total calories consumed by each of them.\n\nSue's total calories:\n46 cookies * 200 calories/cookie = 9200 calories\n\nHer sister's total calories:\n18 cookies * 200 calories/cookie = 3600 calories\n\nTo find out how many more calories Sue consumed than her sister, we subtract her sister's total from Sue's total:\n\n9200 calories (Sue) - 3600 calories (her sister) = 5600 calories\n\nSue consumed $\\boxed{5600}$ more calories than her sister.", "answer": {"result": 5600}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the total number of students in the school:**\n\n Given that there are 3 classes and each class has 20 students, we calculate the total number of students in the school as follows:\n \\[\n 3 \\times 20 = 60 \\text{ students}\n \\]\n\n2. **Calculate the number of girls in the school:**\n\n Since the school has an equal split of boys and girls, there must be 30 girls and 30 boys in the school.\n\n3. **Calculate the number of girls in the first class:**\n\n The first class has 15 girls.\n\n4. **Calculate the number of girls in the second class:**\n\n The second class has 12 girls.\n\n5. **Determine the number of girls in the third class:**\n\n Since the total number of girls in the school is 30, and we have counted 15 girls in the first class and 12 girls in the second class, we can find the number of girls in the third class:\n \\[\n 30 \\text{ (total girls)} - 15 \\text{ (first class)} - 12 \\text{ (second class)} = 3 \\text{ girls in the third class}\n \\]\n\n6. **Calculate the number of boys in the third class:**\n\n Given that there are 20 students in the third class and 3 of them are girls, the remaining students must be boys:\n \\[\n 20 \\text{ (total students in third class)} - 3 \\text{ (girls in third class)} = 17 \\text{ boys in the third class}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{17}\n\\]", "answer": {"result": 17}}, "matches": true} +{"solution": {"solution": "Travis started with 61 apps on his tablet. He deleted 9 apps, so we subtract those from the total:\n\n61 - 9 = 52 apps remaining.\n\nThen, he downloaded 18 more apps to his tablet. We add those to the remaining count:\n\n52 + 18 = 70 apps.\n\nSo, Travis now has $\\boxed{70}$ apps on his tablet.", "answer": {"result": 70}}, "matches": true} +{"solution": {"solution": "\n\nYesterday, Rick killed 10 wolves and 15 cougars.\n\nToday, he killed three times as many wolves as cougars, so he killed 3 * 15 = 45 wolves.\n\nHe also killed three fewer cougars than the previous night, so he killed 15 - 3 = 12 cougars.\n\nIn total, Rick killed 10 wolves + 45 wolves + 15 cougars + 12 cougars = 82 animals.\n\n#### 82\nThe answer is: 82", "answer": {"result": 82}}, "matches": false} +{"solution": {"solution": "To find the floor Bill ends up on, we follow these steps:\n\n1. Bill starts on the 3rd floor.\n2. He rides the elevator up to the floor that's equal to 4 times his starting floor plus 6.\n\nCalculating the final floor:\n\\[4 \\times 3 + 6 = 12 + 6 = 18\\]\n\nSo, Bill ends up on the 18th floor.\n\nTherefore, the final answer is $\\boxed{18}$.\n\nTo verify this, we can use Python code for the calculation:\n\n```python\n# Calculate the final floor\nstart_floor = 3\nfinal_floor = 4 * start_floor + 6\nprint(final_floor)\n```\n\nThis code will output 18, confirming our calculation.", "answer": {"result": 18}}, "matches": true} +{"solution": {"solution": "Anne went down the slide 30% less than Mitchell, so she went down the slide 30/100 * 30 = 9 times less.\n\nAnne went down the slide 30 - 9 = 21 times.\n\nRobert went down the slide 4 times as much as Anne, so he went down the slide 21 * 4 = 84 times.\n\nTherefore, Robert went down the water slide $\\boxed{84}$ times.", "answer": {"result": 84}}, "matches": true} +{"solution": {"solution": "1. First, calculate the total number of cows before Mr. Sylas buys more. There are 10 stalls, each with 20 cows:\n \\[\n 10 \\times 20 = 200 \\text{ cows}\n \\]\n\n2. Mr. Sylas buys 40 more cows. Then, he evenly distributes these 40 cows into 20 stalls:\n \\[\n \\frac{40 \\text{ cows}}{20 \\text{ stalls}} = 2 \\text{ cows per stall}\n \\]\n\n3. After adding these cows, each stall now has:\n \\[\n 20 \\text{ cows (original)} + 2 \\text{ cows (new)} = 22 \\text{ cows}\n \\]\n\n4. Finally, calculate the number of cows in 8 stalls:\n \\[\n 8 \\times 22 = 176 \\text{ cows}\n \\]\n\nConclusion:\n\\[\n\\boxed{176}\n\\] cows are in 8 of the stalls.", "answer": {"result": 176}}, "matches": false} +{"solution": {"solution": "To find out how much money Brady has in his piggy bank, we need to calculate the total value of each type of coin and bill he has.\n\n1. Pennies:\nBrady has 100 pennies, and each penny is worth $0.01. So, the total value of pennies is:\n\\[100 \\times 0.01 = \\$1.00\\]\n\n2. Nickels:\nHe has 40 nickels, and each nickel is worth $0.05. Therefore, the total value of nickels is:\n\\[40 \\times 0.05 = \\$2.00\\]\n\n3. Dimes:\nBrady has 20 dimes, and each dime is worth $0.10. Thus, the total value of dimes is:\n\\[20 \\times 0.10 = \\$2.00\\]\n\n4. Dollar Bills:\nHe has 40 dollar bills, and each dollar bill is worth $1.00. Hence, the total value of dollar bills is:\n\\[40 \\times 1 = \\$40.00\\]\n\nTo find the total amount of money Brady has in his piggy bank, we add up the values obtained from each type of coin and bill:\n\\[\\$1.00 + \\$2.00 + \\$2.00 + \\$40.00 = \\$45.00\\]\n\nTherefore, Brady has $\\boxed{\\$45.00}$ in his piggy bank.", "answer": {"result": 45}}, "matches": true} +{"solution": {"solution": "1. **Calculate the total number of 10-foot sections in the tree**:\n The tree is 200 feet tall. Since each 10-foot section weighs 400 pounds, we need to determine how many 10-foot sections make up 200 feet.\n \\[\n \\text{Number of sections} = \\frac{200 \\text{ feet}}{10 \\text{ feet/section}} = 20 \\text{ sections}\n \\]\n\n2. **Determine the weight of the tree before termites ate part of it**:\n Each 10-foot section weighs 400 pounds. Therefore, the total weight of the tree before termites ate any part is:\n \\[\n \\text{Total weight before eating} = 20 \\text{ sections} \\times 400 \\text{ pounds/section} = 8000 \\text{ pounds}\n \\]\n\n3. **Calculate the weight of wood eaten by termites**:\n Termites ate 30% of the tree's wood. Thus, the weight of wood eaten is:\n \\[\n \\text{Weight eaten} = 0.30 \\times 8000 \\text{ pounds} = 2400 \\text{ pounds}\n \\]\n\n4. **Calculate the remaining weight of the tree**:\n The weight of the tree after termites ate part is:\n \\[\n \\text{Remaining weight} = 8000 \\text{ pounds} - 2400 \\text{ pounds} = 5600 \\text{ pounds}\n \\]\n\n5. **Conclusion**:\n The redwood tree weighs $\\boxed{5600}$ pounds after termites ate 30% of its wood.", "answer": {"result": 5600}}, "matches": true} +{"solution": {"solution": "Nancy owes $0.50 for each of the 8 books, so 8 * $0.50 = $4.00 for the late book fees. \n\nIn addition, she has to pay a flat fee of $2.00 for having at least one book over a week overdue. \n\nTherefore, the total amount she has to pay is $4.00 + $2.00 = $6.00. \n\n#### 6\nThe answer is: 6", "answer": {"result": 6}}, "matches": true} +{"solution": {"solution": "Let's denote the number of apples Andrea has as A, the number of apples Jamal has as J_A, the number of bananas Andrea has as A_B, and the number of bananas Jamal has as J_B.\n\nWe are given the following information:\n1. Andrea has 8 more apples than Jamal: A = J_A + 8\n2. Andrea has half as many bananas as Jamal: A_B = J_B / 2\n3. Jamal has 4 more bananas than apples: J_B = J_A + 4\n4. Andrea has 52 apples: A = 52\n\nUsing the information we have, we can find the number of apples Jamal has:\nJ_A = A - 8\nJ_A = 52 - 8\nJ_A = 44\n\nNow we can find the number of bananas Jamal has:\nJ_B = J_A + 4\nJ_B = 44 + 4\nJ_B = 48\n\nSince Andrea has half as many bananas as Jamal, we can find the number of bananas Andrea has:\nA_B = J_B / 2\nA_B = 48 / 2\nA_B = 24\n\nNow we can find the total number of fruits Jamal has:\nTotal fruits Jamal has = J_A + J_B\nTotal fruits Jamal has = 44 + 48\nTotal fruits Jamal has = 92\n\nAndrea's total fruits:\nAndrea's total fruits = A + A_B\nAndrea's total fruits = 52 + 24\nAndrea's total fruits = 76\n\nThe total number of fruits they have together is:\nTotal fruits = Total fruits Jamal has + Andrea's total fruits\nTotal fruits = 92 + 76\nTotal fruits = 168\n\nSo, there are $\\boxed{168}$ fruits in total.", "answer": {"result": 168}}, "matches": true} +{"solution": {"solution": "To find out how many cups of flour Carla will need, I need to multiply the number of cups per dozen by the number of dozens of cookies she is making. A dozen is 12, so two cups per dozen means that one cup is enough for six cookies. I can use this ratio to convert any number of cookies to cups of flour. For example, 36 cookies is the same as 6 dozens, so I need 6 times two cups, which is 12 cups of flour for today. Similarly, 30 cookies is the same as 5 dozens, so I need 5 times two cups, which is 10 cups of flour for tomorrow. To find the total amount of flour needed, I can add the cups for today and tomorrow. 12 plus 10 is 22, so Carla will need 22 cups of flour in total.", "answer": {"result": 22}}, "matches": false} +{"solution": {"solution": "1. **Calculate the number of pennies in two thirds**:\n \\[\n \\frac{2}{3} \\times 9300 = \\frac{2 \\times 9300}{3} = \\frac{18600}{3} = 6200\n \\]\n\n2. **Convert the number of pennies to dollars**:\n \\[\n 6200 \\text{ pennies} = 6200 \\times 0.01 = 62 \\text{ dollars}\n \\]\n\n3. **Conclusion**:\n \\[\n \\boxed{62 \\text{ dollars}}\n \\]", "answer": {"result": 62}}, "matches": true} +{"solution": {"solution": "Maddison starts with 5 boxes, each containing 50 marbles. So, the initial number of marbles is:\n\n5 boxes * 50 marbles/box = 250 marbles\n\nAfter receiving 20 more marbles from her friend, the total number of marbles she has is:\n\n250 marbles + 20 marbles = 270 marbles\n\nTherefore, Maddison now has $\\boxed{270}$ marbles.", "answer": {"result": 270}}, "matches": true} +{"solution": {"solution": "Chris has 6 trees. \n\nFerdinand has half the number of trees that Chris has, so Ferdinand has 6 / 2 = 3 trees.\n\nHarry has 5 more than twice the number of trees that Ferdinand has. Twice the number of trees Ferdinand has is 3 * 2 = 6 trees.\n\nHarry has 6 + 5 = 11 trees.\n\nTo find out how many more trees Harry has than Ferdinand, we subtract Ferdinand's number of trees from Harry's number of trees: 11 - 3 = 8 trees.\n\nHarry has $\\boxed{8}$ more trees than Ferdinand in his yard.", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "Carmen has $100. \nSamantha has $25 more than Carmen, so she has $100 + $25 = $125.\nDaisy has $50 more than Samantha, so she has $125 + $50 = $175.\n\nTo find the total amount all three girls have combined, we add their amounts together:\n$100 + $125 + $175 = $400.\n\nTherefore, all three girls have a combined total of $\\boxed{\\$400}$ .The answer is: 400", "answer": {"result": 400}}, "matches": true} +{"solution": {"solution": "First, let's calculate the brokerage fee, which is 5% of the selling price of $350,000.\n\nBrokerage fee = 5% of $350,000\nBrokerage fee = 0.05 * $350,000\nBrokerage fee = $17,500\n\nNext, let's calculate the transfer fee, which is 12% of the selling price of $350,000.\n\nTransfer fee = 12% of $350,000\nTransfer fee = 0.12 * $350,000\nTransfer fee = $42,000\n\nNow, let's add the brokerage fee and the transfer fee to the selling price to find the total price of the house.\n\nTotal price = Selling price + Brokerage fee + Transfer fee\nTotal price = $350,000 + $17,500 + $42,000\nTotal price = $409,500\n\nFinally, let's find out how much more the total price is than Mrs. Cruz's budget of $400,000.\n\nDifference = Total price - Mrs. Cruz's budget\nDifference = $409,500 - $400,000\nDifference = $9,500\n\nThe total price of the house is $\\boxed{\\$9,500}$ more than Mrs. Cruz's budget.", "answer": {"result": 9500}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total transfer fees and the brokerage fee.\n\nTransfer fees: 3% of $400 000 = $400 000 * 0.03 = $12 000\nBrokerage fee: 5% of $400 000 = $400 000 * 0.05 = $20 000\n\nNow, let's add up all the expenses:\n\nTotal expenses = Transfer fees + Brokerage fee + Remaining loan amount\nTotal expenses = $12 000 + $20 000 + $250 000\nTotal expenses = $282 000\n\nFinally, let's calculate Mr. Tan's net proceeds by subtracting the total expenses from the selling price:\n\nNet proceeds = Selling price - Total expenses\nNet proceeds = $400 000 - $282 000\nNet proceeds = $118 000\n\nMr. Tan's net proceeds from selling the house is $\\boxed{\\$118,000}$ .", "answer": {"result": 118000}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's break it down into steps:\n\n1. First, we calculate the additional time it takes to heat the oil from 300 degrees to the desired temperature of 400 degrees. Since it takes 40% longer than the initial 20 minutes, we find this additional time by calculating 40% of 20 minutes and then adding it to the initial time. \n\n\\[40\\% \\text{ of } 20 \\text{ minutes} = 0.40 \\times 20 = 8 \\text{ minutes}\\]\n\nAdding this to the initial 20 minutes, we get:\n\n\\[20 \\text{ minutes} + 8 \\text{ minutes} = 28 \\text{ minutes}\\]\n\n2. Next, we need to find the total time it takes to heat the oil to 400 degrees. We do this by adding the additional time calculated in step 1 to the initial time:\n\n\\[28 \\text{ minutes} + 20 \\text{ minutes} = 48 \\text{ minutes}\\]\n\n3. The problem states that it takes 5 minutes less to cook the chicken than it takes to heat the oil. Therefore, the cooking time is:\n\n\\[48 \\text{ minutes} - 5 \\text{ minutes} = 43 \\text{ minutes}\\]\n\n4. Finally, to find the total time from starting to heat the oil to having cooked chicken, we add the heating time to the cooking time:\n\n\\[48 \\text{ minutes} + 43 \\text{ minutes} = 91 \\text{ minutes}\\]\n\nTherefore, the total time from starting the oil to having cooked chicken is $\\boxed{91}$ minutes.", "answer": {"result": 91}}, "matches": true} +{"solution": {"solution": "The real estate agent spent $5 on each newspaper ad, and he bought 50 newspaper ads. So, the total cost for the newspaper ads is:\n\n50 ads * $5/ad = $250\n\nHe also spent $75 on each television ad, and he bought 15 television ads. So, the total cost for the television ads is:\n\n15 ads * $75/ad = $1125\n\nTo find the total amount spent on all the ads, we add the cost of the newspaper ads to the cost of the television ads:\n\n$250 (newspaper ads) + $1125 (television ads) = $1375\n\nTherefore, the real estate agent spent a total of $\\boxed{\\$1375}$ on buying all the ads.", "answer": {"result": 1375}}, "matches": true} +{"solution": {"solution": "Half of the 16 balls are golf balls, so there are 16/2 = 8 golf balls.\nHalf of the 8 golf balls are blue, so there are 8/2 = 4 blue golf balls.\n#### 4\nThe answer is: 4", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "The first bag has 300 M&Ms. \n\nThe second bag has 12 more M&Ms than the first, so it has 300 + 12 = 312 M&Ms. \n\nThe third bag has half the number of M&Ms that the first bag had, so it has 300 / 2 = 150 M&Ms. \n\nTo find the total number of M&Ms, we add the number of M&Ms from all three bags: 300 + 312 + 150 = 762. \n\nMary got a total of 762 M&Ms. \n\n#### 762\nThe answer is: 762", "answer": {"result": 762}}, "matches": true} +{"solution": {"solution": "Each house has 3 bedrooms and each bedroom has 2 windows, so each house has 3 x 2 = 6 windows connected to bedrooms.\nThere are also 4 additional windows in each house, so each house has 6 + 4 = 10 windows in total.\nSince John has 2 houses, the total number of windows between the houses is 2 x 10 = 20.\n#### 20\nThe answer is: 20", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "The total cost of the groceries is $4.20 + $9.45 + $1.35 = $15.00. \n\nThe mother pays $20.00, so the cashier gives back $20.00 - $15.00 = $5.00 in change. \n\nThe cashier gives back $\\boxed{\\$5.00}$ in change.The answer is: 5", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "\n\n1. **Determine the number of stitches for the collar**: \n The collar requires a tenth of the stitches needed for the body. The body requires 900 stitches. Therefore, the collar requires:\n \\[\n \\frac{900}{10} = 90 \\text{ stitches}\n \\]\n\n2. **Determine the number of stitches for the rosette**: \n The rosette requires twice the number of stitches as the collar. Given the collar requires 90 stitches, the rosette requires:\n \\[\n 2 \\times 90 = 180 \\text{ stitches}\n \\]\n\n3. **Calculate the total number of stitches for the body, collar, and rosette**:\n Adding these together:\n \\[\n 900 \\text{ (body)} + 90 \\text{ (collar)} + 180 \\text{ (rosette)} = 1170 \\text{ stitches}\n \\]\n\n4. **Determine the number of stitches for the sleeves**:\n Since the entire sweater requires 1800 stitches and we have already accounted for 1170 stitches (body, collar, and rosette), the remaining stitches are for the sleeves:\n \\[\n 1800 - 1170 = 630 \\text{ stitches}\n \\]\n\n5. **Calculate the number of stitches for each sleeve**:\n There are two sleeves, so we divide the total number of sleeve stitches by 2:\n \\[\n \\frac{630}{2} = 315 \\text{ stitches per sleeve}\n \\]\n\n### Conclusion:\nEach sleeve requires 315 stitches.\n\n\\[\n\\boxed{315}\n\\]", "answer": {"result": 315}}, "matches": true} +{"solution": {"solution": "Mrs. Rylan bought 20 packets of tomato seeds, and each packet costs $40. So, the total cost for the tomato seeds is:\n\n20 packets * $40/packet = $800\n\nShe also bought 80 packets of celery seeds, and each packet costs $30. So, the total cost for the celery seeds is:\n\n80 packets * $30/packet = $2400\n\nTo find the total amount of money she used to buy the seeds, we add the cost of the tomato seeds and the cost of the celery seeds:\n\n$800 (tomato seeds) + $2400 (celery seeds) = $3200\n\nMrs. Rylan used $\\boxed{\\$3200}$ to buy the seeds for her farm.", "answer": {"result": 3200}}, "matches": true} +{"solution": {"solution": "1. **Counting the lines in the song:** Sean has to memorize 54 lines for his solo song.\n\n2. **Lines in the first scene:** The first scene has twice the number of lines as the song, totaling \\(2 \\times 54 = 108\\) lines.\n - Only a third of these lines are his, so the number of lines Sean must memorize in the first scene is \\(\\frac{1}{3} \\times 108 = 36\\) lines.\n\n3. **Lines in the second scene:** The second scene has six more lines than the song, totaling \\(54 + 6 = 60\\) lines.\n - Four-fifths of these lines are his, so the number of lines Sean must memorize in the second scene is \\(\\frac{4}{5} \\times 60 = 48\\) lines.\n\n4. **Total lines to memorize:** Adding all the lines from the song, the first scene, and the second scene, Sean has to memorize:\n \\[\n 54 + 36 + 48 = 138 \\text{ lines}\n \\]\n\n5. **Conclusion:** The total number of lines Sean has to memorize is:\n \\[\n \\boxed{138}\n \\]", "answer": {"result": 138}}, "matches": true} +{"solution": {"solution": "\nIf 2/5 of the cards had the letter A on them, then there were 2/5 x 80 = 32 cards with the letter A.\nThe remaining cards are 80 - 32 = 48.\n\nIf 1/2 of the remaining cards had the letter B, then there were 1/2 x 48 = 24 cards with the letter B.\nThe remaining cards are 48 - 24 = 24.\n\nIf 5/8 of the rest had the letter C, then there were 5/8 x 24 = 15 cards with the letter C.\nThe remaining cards are 24 - 15 = 9.\n\nTherefore, there are 9 cards that had the letter D on them.\n\n#### 9\nThe answer is: 9", "answer": {"result": 9}}, "matches": true} +{"solution": {"solution": "To calculate the total time Matthew will take to dig 30 small holes and 15 large holes, we follow these steps:\n\n1. **Calculate the time for small holes:**\n - Matthew takes 3 minutes to dig one small hole.\n - For 30 small holes, the total time is $3 \\times 30 = 90$ minutes.\n\n2. **Calculate the time for large holes:**\n - Matthew takes 10 minutes to dig one large hole.\n - For 15 large holes, the total time is $10 \\times 15 = 150$ minutes.\n\n3. **Add the times together:**\n - The total time for digging all holes is $90 + 150 = 240$ minutes.\n\n4. **Convert minutes to hours:**\n - There are 60 minutes in an hour, so $240$ minutes is equivalent to $\\frac{240}{60} = 4$ hours.\n\nTherefore, Matthew will take $\\boxed{4}$ hours to dig 30 small holes and 15 large holes.", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "\n1. Let \\( m \\) be Mico's current age and \\( n \\) be Marco's current age. \n2. According to the problem, the sum of their ages is given by:\n \\[\n m + n = 20\n \\]\n3. In 10 years, Mico's age will be \\( m + 10 \\) and Marco's age will be \\( n + 10 \\).\n4. The sum of their ages in 10 years will be:\n \\[\n (m + 10) + (n + 10)\n \\]\n5. Factor out the 10 from the expression:\n \\[\n (m + 10) + (n + 10) = m + n + 10 + 10\n \\]\n6. Substitute the given sum of their current ages into the equation:\n \\[\n m + n + 10 + 10 = 20 + 10 + 10\n \\]\n7. Perform the addition:\n \\[\n 20 + 20 = 40\n \\]\n\n### Conclusion:\n\n\\[\n\\boxed{40}\n\\]", "answer": {"result": 40}}, "matches": true} +{"solution": {"solution": "Let's denote Sam's current age as S and Ruby's current age as R.\n\nAccording to the first statement, Ruby is 6 times older than Sam:\n\nR = 6S (1)\n\nAccording to the second statement, in 9 years, Ruby will be 3 times as old as Sam:\n\nR + 9 = 3(S + 9) (2)\n\nNow, let's substitute the value of R from equation (1) into equation (2):\n\n6S + 9 = 3(S + 9)\n\nExpanding the right side of the equation:\n\n6S + 9 = 3S + 27\n\nNow, let's isolate S by subtracting 3S from both sides:\n\n6S - 3S + 9 = 27\n\n3S + 9 = 27\n\nSubtract 9 from both sides:\n\n3S = 18\n\nFinally, divide by 3 to solve for S:\n\nS = 18 / 3\n\nS = 6\n\nSo, Sam is currently $\\boxed{6}$ years old.", "answer": {"result": 6}}, "matches": true} +{"solution": {"solution": "\nPeter purchased 20 popsicles at $0.25 each, so the cost of the popsicles is 20 * $0.25 = $5. \nHe also purchased 4 ice cream bars at $0.50 each, so the cost of the ice cream bars is 4 * $0.50 = $2. \nThe total cost is $5 + $2 = $7. \n#### 7\nThe answer is: 7", "answer": {"result": 7}}, "matches": true} +{"solution": {"solution": "If the cobra has 70 spots and has twice as many spots as a mamba, then the mamba has 70/2 = 35 spots.\nIf there are 40 cobras in the snake park, then they have a total of 40 * 70 = 2800 spots.\nIf there are 60 mambas in the snake park, then they have a total of 60 * 35 = 2100 spots.\nThe combined total number of spots is 2800 + 2100 = 4900 spots.\nHalf of that number is 4900 / 2 = 2450 spots.\n#### 2450\nThe answer is: 2450", "answer": {"result": 2450}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total number of people who will be eating pizza. There are 12 team members and 3 coaches, so that's 15 people. Each team member brings 2 guests, so that's an additional 12 x 2 = 24 guests. \n\nAdding the team members, coaches, and guests together, we get 15 + 24 = 39 people.\n\nNow, since each pizza serves 3 people, we can calculate the number of pizzas needed by dividing the total number of people by the number of people each pizza serves: 39 / 3 = 13 pizzas.\n\nFinally, since each pizza costs $15, Maddy will spend 13 x $15 = $\\boxed{\\$195}$ on pizzas.", "answer": {"result": 195}}, "matches": true} +{"solution": {"solution": "\n\nFirst, let's calculate the total length of the topaz gemstones in the necklace. \n\nSince each topaz gemstone is one inch long and Katerina uses 8 topaz gemstones per necklace, the total length of the gemstones is:\n\n8 gemstones * 1 inch/gemstone = 8 inches\n\nThe total length of the necklace is 25 inches, so the length of the sterling silver beads is the difference between the total length and the length of the gemstones:\n\n25 inches (total length) - 8 inches (gemstones) = 17 inches (sterling silver beads)\n\nNext, we need to determine how many sterling silver beads are needed to make up the 17 inches of beads. \n\nEach sterling silver bead is one-quarter of an inch long, so the number of beads needed is:\n\n17 inches / (1/4 inch/bead) = 17 * 4 beads/inch = 68 beads\n\nTherefore, Katerina uses $\\boxed{68}$ sterling silver beads per necklace.\n\nAnswer: 68", "answer": {"result": 68}}, "matches": true} +{"solution": {"solution": "Alani wrote 20 stories in the first week, and in the second week, she doubled that number, so she wrote 20 x 2 = 40 stories in the second week.\nBraylen wrote 40 stories in the first week, and in the second week, he doubled that number, so he wrote 40 x 2 = 80 stories in the second week.\nMargot wrote 60 stories in the first week, and in the second week, she doubled that number, so she wrote 60 x 2 = 120 stories in the second week.\nIn total, they wrote 20 + 40 + 40 + 80 + 60 + 120 = 360 stories over the two weeks.\n#### 360\nThe answer is: 360", "answer": {"result": 360}}, "matches": true} +{"solution": {"solution": "If Ann is 9 years old, her brother is twice her age, which means he is 9 * 2 = 18 years old.\n\nIn 3 years, Ann will be 9 + 3 = 12 years old.\n\nIn 3 years, her brother will be 18 + 3 = 21 years old.\n\nSo, her brother will be $\\boxed{21}$ years old in 3 years.", "answer": {"result": 21}}, "matches": true} +{"solution": {"solution": "To solve this problem, I need to convert all the coins to cents, add them up, and subtract 55.\n\n5 quarters equal 5 times 25 cents, which is 125 cents.\n2 dimes equal 2 times 10 cents, which is 20 cents.\nSo Kelly has 125 + 20 = 145 cents in total.\nIf she spends 55 cents on a can of pop, she will have 145 - 55 = 90 cents left.\n\nThe answer is 90.", "answer": {"result": 90}}, "matches": true} +{"solution": {"solution": "To find the total number of rows of 5 stars, we first need to determine the total number of stars in the flag. We know that there are three rows of 8 stars and two rows of 6 stars. So, we calculate the total number of stars from these rows:\n\n- Three rows of 8 stars: $3 \\times 8 = 24$ stars\n- Two rows of 6 stars: $2 \\times 6 = 12$ stars\n\nAdding these together gives us the total number of stars accounted for so far:\n\n\\[24 + 12 = 36\\]\n\nThe flag has a total of 76 stars, so to find out how many stars are in the rows of 5, we subtract the stars in the known rows from the total:\n\n\\[76 - 36 = 40\\]\n\nNow, knowing there are 40 stars left in rows of 5, and each of these rows contains 5 stars, we find the number of 5-star rows by dividing the remaining stars by the number of stars per row:\n\n\\[40 \\div 5 = 8\\]\n\nTherefore, there are $\\boxed{8}$ rows of 5 stars on the flag.\n\n**Explanation:**\n\nTo solve this problem, we first identified the number of stars in the given rows of the flag. By adding these together, we found out how many stars were left unaccounted for. These remaining stars were in rows of 5. We calculated the number of these rows by dividing the unaccounted stars by the number of stars per row.\n\n**Review:**\n\nThis problem tests basic arithmetic operations and the concept of division to find the number of items in a group when the total number and the number of items per group are known. It's a straightforward application of these concepts.", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "First, calculate the total weight of the 80 flagstones. Since each flagstone weighs 75 pounds, the total weight is:\n\\[ 80 \\times 75 = 6000 \\text{ pounds} \\]\n\nNext, determine how many trucks are needed to carry this weight. Given that each truck can carry 2000 pounds, use division to find the number of trucks required:\n\\[ \\frac{6000}{2000} = 3 \\]\n\nThus, the number of trucks needed is $\\boxed{3}$. The answer is 3.The answer is: 3", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "If the car in the fast lane is traveling at 60 miles/hour and has traveled a total of 480 miles, we can calculate the time it took by dividing the distance by the speed:\n\nTime = Distance / Speed\n\nFor the car in the fast lane:\nTime = 480 miles / 60 miles/hour = 8 hours\n\nThe car in the slow lane is traveling at half the speed of the car in the fast lane, which is 60 miles/hour / 2 = 30 miles/hour.\n\nTo find the time it took for the car in the slow lane to cover the same distance, we use the same formula:\n\nTime = Distance / Speed\n\nFor the car in the slow lane:\nTime = 480 miles / 30 miles/hour = 16 hours\n\nSo, the car in the slow lane took $\\boxed{16}$ hours to cover the same distance.", "answer": {"result": 16}}, "matches": true} +{"solution": {"solution": "Let's start by figuring out how many medals Izzy has. Since Izzy has 5 less medals than Ali, who has 22 medals, we can calculate Izzy's medals as follows:\n\nIzzy's medals = Ali's medals - 5\nIzzy's medals = 22 - 5\nIzzy's medals = 17\n\nNow, together, Ali and Izzy have:\n\nAli's medals + Izzy's medals = Total medals they have\n22 + 17 = 39\n\nThe problem states that together they have 10 times less medals than have been given out for counting. This means that the number of medals given out for counting is 10 times their total number of medals. So, let's denote the total number of medals given out for counting as $x$. According to the problem, we have:\n\nAli and Izzy's total medals = $\\frac{x}{10}$\n\nSubstituting their total medals (39) into the equation gives us:\n\n39 = $\\frac{x}{10}$\n\nTo find $x$, we multiply both sides of the equation by 10:\n\n39 * 10 = x\n\n390 = x\n\nTherefore, the total number of medals given out for counting is $\\boxed{390}$.", "answer": {"result": 390}}, "matches": true} +{"solution": {"solution": "\nFirst, let's calculate the total number of chocolate bars available. There are 8 packets, and each packet contains 5 chocolate bars. So, the total number of chocolate bars is:\n\n\\[8 \\text{ packets} \\times 5 \\text{ bars per packet} = 40 \\text{ bars}\\]\n\nNext, we'll calculate how many chocolate bars the 4 adults will receive. Each adult gets 6 chocolate bars, so for all 4 adults, they will receive:\n\n\\[4 \\text{ adults} \\times 6 \\text{ bars per adult} = 24 \\text{ bars}\\]\n\nNow, let's subtract the chocolate bars given to the adults from the total number of chocolate bars to find out how many are left for the children:\n\n\\[40 \\text{ bars} - 24 \\text{ bars} = 16 \\text{ bars}\\]\n\nFinally, we'll divide these remaining bars equally among the 8 children:\n\n\\[16 \\text{ bars} \\div 8 \\text{ children} = 2 \\text{ bars per child}\\]\n\nTherefore, each child will receive $\\boxed{2}$ chocolate bars.\n\nAnswer: 2", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "Susan works for a total of 3 hours, from 8 a.m. to 11 a.m.\nIn 3 hours, there are 60 minutes/hour x 3 hours = 180 minutes.\nShe has a 30-minute break, so she actually works for 180 minutes - 30 minutes = 150 minutes.\nShe earns $5 every 10 minutes, so in 150 minutes, she earns 150 minutes / 10 minutes = 15 sets of $5.\nTherefore, Susan earns 15 sets x $5/set = $75 for the online task.\n#### 75\nThe answer is: 75", "answer": {"result": 75}}, "matches": true} +{"solution": {"solution": "1. We start by identifying the points each player has after the first three rounds. \n - Mike has 21 points.\n - Jim has 3 points fewer than Mike, so Jim has \\(21 - 3 = 18\\) points.\n - Tony has twice as many points as Mike, so Tony has \\(2 \\times 21 = 42\\) points.\n\n2. We then determine if they qualify for an additional point in the fourth round. According to the problem, a player gets an extra point if they have more than 20 points.\n - Mike has 21 points, so he does not get an extra point.\n - Jim has 18 points, so he does not get an extra point.\n - Tony has 42 points, so he gets an extra point, bringing his total to \\(42 + 1 = 43\\) points.\n\n3. We calculate the total points after the fourth round by adding the points from all players:\n - Mike\u2019s total points: \\(21\\)\n - Jim\u2019s total points: \\(18\\)\n - Tony\u2019s total points: \\(43\\)\n\n4. Summing these up, we get:\n \\[\n 21 + 18 + 43 = 82\n \\]\n\nConclusion:\n\\[\n\\boxed{82}\n\\]", "answer": {"result": 82}}, "matches": false} +{"solution": {"solution": "\nThe oldest son is 8 years old, and the youngest son is half as old as the oldest son, so the youngest son is 8 / 2 = 4 years old. \nThe number of oranges the oldest son washes is 8, and the number of oranges the youngest son washes is 4. \nIn total, they wash 8 + 4 = 12 oranges. \nWill initially bought 15 oranges, so the number of oranges left unwashed is 15 - 12 = 3. \n#### 3\nThe answer is: 3", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "On the first day, Darren does 100 pushups, 50 squats, and 20 dumbbell presses, for a total of 100 + 50 + 20 = 170 activities.\n\nOn the second day, he does 20 more pushups than on the first day, so he does 100 + 20 = 120 pushups.\n\nHe does ten fewer squats than on the first day, so he does 50 - 10 = 40 squats.\n\nHe doubles the number of dumbbell presses from the first day, so he does 20 x 2 = 40 dumbbell presses.\n\nIn total, on the second day, he does 120 + 40 + 40 = 200 activities.\n\nTherefore, over the two days, he does 170 + 200 = 370 activities.\n\n#### 370\nThe answer is: 370", "answer": {"result": 370}}, "matches": true} +{"solution": {"solution": "1. **Calculate daily consumption**: Each person consumes 0.2 kg of rice per meal. Since there are two meals per day, each person consumes \\((0.2 \\text{ kg}) \\times 2 = 0.4 \\text{ kg}\\) per day.\n\n2. **Calculate total daily consumption for the family**: There are 5 members in the household, so the total daily consumption is \\(5 \\times 0.4 \\text{ kg} = 2 \\text{ kg}\\) per day.\n\n3. **Calculate total consumption per week**: There are 7 days in a week. Therefore, the weekly consumption is \\(7 \\times 2 \\text{ kg} = 14 \\text{ kg}\\) per week.\n\n4. **Determine the number of weeks the bag will last**: The bag contains 42 kg of rice. To find out how many weeks this will last, divide the total amount of rice by the weekly consumption:\n \\[\n \\frac{42 \\text{ kg}}{14 \\text{ kg/week}} = 3 \\text{ weeks}\n \\]\n\nConclusion:\nThe 42 kg bag of rice will last for \\(\\boxed{3}\\) weeks.", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "Sam was closed for Monday and Friday, so he had 5 days to sell bread. \nOver the weekend (Saturday and Sunday), he sold 20 crates. \nOn Tuesday, he sold 15 crates. \nOn Wednesday, he sold 12 crates. \nOn Thursday, he sold 18 crates. \n\nSo, in total, Sam sold 20 + 15 + 12 + 18 = 65 crates of bread in the week. \n\nHis target was 120 crates, so he was off by 120 - 65 = 55 crates. \n\nSam was 55 crates off from his target for the week. \n\n#### 55\nThe answer is: 55", "answer": {"result": 55}}, "matches": true} +{"solution": {"solution": "\nCarmen bids after the first person, so her first bid is $200 + $50 = $250.\nThe second person bids higher, so Carmen's second bid is $250 + $50 = $300.\nThe third person bids higher again, so Carmen's third bid is $300 + $50 = $350.\nFinally, the fourth person bids, so Carmen's fourth bid is $350 + $50 = $400.\nCarmen wins the desk with her fourth bid, so the desk costs her $400.\n#### 400\nThe answer is: 400", "answer": {"result": 400}}, "matches": false} +{"solution": {"solution": "To calculate the total cost John pays for driving services annually, we follow these steps:\n\n1. **Calculate the total miles driven in a week**: John's work is 30 miles away, and he has to travel there and back each day. Therefore, the total miles driven in a day are $30 \\times 2 = 60$ miles. Since he works 5 days a week, the total miles driven in a week are $60 \\times 5 = 300$ miles.\n\n2. **Calculate the total miles driven in a year**: John works 50 weeks a year. Thus, the total miles driven in a year are $300 \\times 50 = 15,000$ miles.\n\n3. **Calculate the weekly driving cost**: The cost per mile is $2, so the weekly driving cost is $15,000 \\div 50 = $300$.\n\n4. **Calculate the annual driving cost**: To find the annual driving cost, we multiply the weekly driving cost by the number of weeks in a year, which is $300 \\times 50 = $15,000$.\n\n5. **Calculate the monthly driver bonus**: The bonus given to the driver is $150 per month.\n\n6. **Calculate the annual driver bonus cost**: To find the annual driver bonus cost, we multiply the monthly driver bonus by the number of months in a year, which is $150 \\times 12 = $1,800$.\n\n7. **Calculate the total annual cost**: Finally, we add the annual driving cost and the annual driver bonus cost to get the total annual cost, which is $15,000 + $1,800 = $16,800$.\n\nTherefore, the total amount John pays a year for driving is $\\boxed{16800}$.", "answer": {"result": 16800}}, "matches": false} +{"solution": {"solution": "On Sunday, Peter exercised for 23 minutes.\nOn Monday, Peter exercised for 16 minutes.\nTo find out how many minutes Peter wants to exercise on Tuesday, we need to calculate twice the amount of time he did on Monday and Sunday combined.\nTwice the amount of time is 2 * (23 + 16) = 78 minutes.\nTherefore, Peter has to exercise for 78 minutes on Tuesday to reach his goal.\n#### 78\nThe answer is: 78", "answer": {"result": 78}}, "matches": true} +{"solution": {"solution": "\nTo determine the number of pieces of paper required to produce a 32-page tabloid where the layout is given such that each pair of facing pages is printed on opposite sides of a single sheet, we follow these steps:\n\n1. **Understanding the Layout**:\n - The tabloid has 32 pages in total.\n - Given the layout, page 1 is printed on the back of the left side of the sheet, and page 2 on the front of the left side.\n - Similarly, page 32 is printed on the back of the right side of the sheet, and page 31 on the front of the right side.\n\n2. **Pairing Pages**:\n - The layout implies that pages are paired in such a way that each pair (consisting of one page from the left side and one page from the right side of the sheet) is printed together.\n - Therefore, we need to pair all 32 pages into 16 pairs.\n\n3. **Counting the Pieces of Paper**:\n - Each pair of pages is printed on one sheet.\n - Since there are 16 pairs, this means we need 16 sheets of paper in total.\n\n4. **Conclusion**:\n - Hence, the total number of pieces of paper required to print a 32-page tabloid with the given layout is 16.\n\n\\[\n\\boxed{16}\n\\]", "answer": {"result": 16}}, "matches": false} +{"solution": {"solution": "Annika spent half of $50 on food and snacks, so she spent $50/2 = $25 on food and snacks. \nShe also spent an additional $10 on rides. \nIn total, she spent $25 + $10 = $35. \nTherefore, she has $50 - $35 = $15 left. \n\n#### 15\nThe answer is: 15", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "First, let's determine how many books Elise sold in the first year. She sold twice as many books this year as she has sold in the current year. So, if she sold 45 books this year, she sold:\n\n2 * 45 = 90 books in the first year.\n\nNext, let's find out how many books she sold in the third year. We know there are currently 50 unsold books, and she has sold a total of 250 books over the three years. So, the number of books sold in the third year is:\n\n250 (total books) - 45 (books sold this year) - 90 (books sold in the first year) = 115 books in the third year.\n\nNow, let's calculate the total amount of money Elise earned in the second year. Each book sells for 20$, so the total earnings from selling 45 books in the second year are:\n\n45 (books sold in the second year) * 20 (price per book) = 900$.\n\nTherefore, Elise earned $900 in the second year.\n\nAnswer: 900", "answer": {"result": 900}}, "matches": false} +{"solution": {"solution": "Watson works 10 hours a day, 5 days a week, so he works a total of 10 * 5 = 50 hours in a week.\n\nHe earns $10 per hour, so his weekly earnings without the bonus would be 50 * $10 = $500.\n\nHe also gets a $300 bonus each week if the company performs well.\n\nTherefore, his total weekly earnings for April, assuming the company performed well for the whole month, would be $500 + $300 = $800.\n\nSince April has 4 weeks, his total earnings for the month would be 4 * $800 = $\\boxed{\\$3200}$ .", "answer": {"result": 3200}}, "matches": true} +{"solution": {"solution": "If John beats 80% of the people he arm wrestles, it means he loses to 20% of the people. \n\nTo find out how many people he lost to, we calculate 20% of 20:\n\n0.20 * 20 = 4\n\nJohn lost to $\\boxed{4}$ people.", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "\nTwo-thirds of the 60 loaves are sold in the morning, so 60 * (2/3) = 40 loaves are sold in the morning.\n\nThis leaves 60 - 40 = 20 loaves for the afternoon and evening.\n\nHalf of the remaining loaves are sold in the afternoon, so 20 * (1/2) = 10 loaves are sold in the afternoon.\n\nTherefore, 10 loaves of bread are sold in the afternoon.\n\nAnswer:\n10", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "\nIf Joey loses 8 pounds in 4 weeks, it means he loses 8/4 = 2 pounds per week.\nSince Sandy needs 4 weeks to lose the same amount of weight that Joey loses in a single week, it will take Sandy 4 weeks * 2 pounds per week = 8 weeks to lose 8 pounds.\n#### 8\nThe answer is: 8", "answer": {"result": 8}}, "matches": false} +{"solution": {"solution": "The original price of one tub of ice cream is $13, and it is now sold at $11, so you save $13 - $11 = $2 on one tub of ice cream. \n\nIf you buy 2 tubs of ice cream, you will save $2 x 2 = $4.\n\nThe packet of milk is sold at a discount of $0.5, so you save $0.5 on one packet of milk.\n\nIf you buy 4 packets of milk, you will save $0.5 x 4 = $2.\n\nIn total, if you buy 2 tubs of ice cream and 4 packets of milk, you will save $4 + $2 = $6. \n\n#### 6\nThe answer is: 6", "answer": {"result": 6}}, "matches": true} +{"solution": {"solution": "1. **Arms**: Helena's serum states that every three days, a person grows an extra arm. Since the serum has been administered for fifteen days, we need to determine how many sets of three days are in fifteen days:\n \\[\n \\text{Number of 3-day sets in 15 days} = \\frac{15}{3} = 5\n \\]\n Therefore, Helena's serum results in the growth of 5 extra arms.\n\n2. **Legs**: Similarly, for legs, Helena's serum states that every five days, a person grows an extra leg. We calculate how many sets of five days fit into fifteen days:\n \\[\n \\text{Number of 5-day sets in 15 days} = \\frac{15}{5} = 3\n \\]\n Therefore, Helena's serum results in the growth of 3 extra legs.\n\n3. **Total New Limbs**: Adding the number of extra arms and legs:\n \\[\n \\text{Total new limbs} = 5 (\\text{arms}) + 3 (\\text{legs}) = 8\n \\]\n Therefore, Helena\u2019s serum causes a person to grow a total of $\\boxed{8}$ new limbs.", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's break down Theo's expenses step by step:\n\n1. **Calculate the total cost of business suits:**\n - Each suit costs $100, and Theo buys 6 suits.\n - Therefore, the total cost for suits is $100 \\times 6 = \\$600$.\n\n2. **Calculate the total cost of suitcases:**\n - Each suitcase costs $50, and Theo buys 3 suitcases.\n - Therefore, the total cost for suitcases is $50 \\times 3 = \\$150$.\n\n3. **Determine the cost of the flight ticket:**\n - The flight ticket costs $700 more than 5 times the cost of a business suit.\n - The cost of a business suit is $100, so 5 times this cost is $100 \\times 5 = \\$500$.\n - Adding the additional $700 to this, the total cost for the flight ticket is $500 + 700 = \\$1200$.\n\n4. **Sum the costs of suits, suitcases, and the flight ticket:**\n - Total cost so far = Cost of suits + Cost of suitcases + Cost of flight ticket\n - Total cost = $600 + 150 + 1200 = \\$1950$.\n\n5. **Calculate the amount saved for the trip:**\n - Theo wants to save $2000 for the trip.\n - Therefore, the amount left for spending on gifts is $2000 - 1950 = \\$50$.\n\nSo, Theo has $\\boxed{\\$50}$ left to spend on buying gifts for his business partners in South Africa.", "answer": {"result": 50}}, "matches": false} +{"solution": {"solution": "In this family, there are 3 people who eat 3 eggs each day, and the remaining 2 people eat 2 eggs each day. \n\nFirst, let's calculate the total number of eggs consumed by the 3 people who eat 3 eggs each day:\n\\[3 \\text{ people} \\times 3 \\text{ eggs/person} = 9 \\text{ eggs}\\]\n\nNext, we calculate the total number of eggs consumed by the 2 people who eat 2 eggs each day:\n\\[2 \\text{ people} \\times 2 \\text{ eggs/person} = 4 \\text{ eggs}\\]\n\nNow, we add the eggs consumed by both groups to find the total daily consumption:\n\\[9 \\text{ eggs} + 4 \\text{ eggs} = 13 \\text{ eggs}\\]\n\nFinally, to find the total consumption over a week, we multiply the daily consumption by 7 (days in a week):\n\\[13 \\text{ eggs/day} \\times 7 \\text{ days} = 91 \\text{ eggs}\\]\n\nTherefore, the family consumes $\\boxed{91}$ eggs in a week.", "answer": {"result": 91}}, "matches": true} +{"solution": {"solution": "If Quinn is 30 years old, then Jane is $30 - 3 = 27$ years old.\nSince Trent is 5 years older than Jane, Trent is $27 + 5 = 32$ years old.\nTherefore, Trent is $\\boxed{32}$ years old.The answer is: 32", "answer": {"result": 32}}, "matches": true} +{"solution": {"solution": "Six years ago, Noah was half as old as Cera, so Noah was 46/2 = 23 years old six years ago.\n\nCurrently, Noah is 23 + 6 = 29 years old.\n\nThe population of Chile six years ago was 3000 times the age of Noah at that time, so the population was 3000 * 23 = 69000.\n\nSince the population of Chile is six times its past size now, the current population is 69000 * 6 = 414000.\n\nTherefore, the population of Chile now is $\\boxed{414000}$ .", "answer": {"result": 414000}}, "matches": false} +{"solution": {"solution": "Let's denote the number of players on the defense as D.\nAccording to the problem, there are twice as many players on the offense as there is on the defense, so the number of players on the offense is 2D.\nThere is also half the number of players on the special teams as there is on the defense, so the number of players on the special teams is D/2.\nThe total number of players on the team is the sum of players on the offense, defense, and special teams, which is 2D + D + D/2 = 105.\nCombining like terms, we have 4D/2 + D/2 = 105.\nMultiplying both sides of the equation by 2 to eliminate the fractions, we have 4D + D = 210.\nCombining like terms, we have 5D = 210.\nDividing both sides of the equation by 5, we have D = 42.\nTherefore, there are 42 players on the defense.\n#### 42\nThe answer is: 42", "answer": {"result": 42}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total number of people invited: \n\n- 2 families with 6 people each: 2 * 6 = 12 people\n- 3 families with 4 people each: 3 * 4 = 12 people\n\nSo, the total number of people invited is 12 + 12 = 24 people. \n\nNext, we know that 8 people couldn't come due to illness. \n\nNow, let's find out how many people had previous commitments: \n\n1/4 of the 8 people who couldn't come due to illness is 8 * 1/4 = 2 people. \n\nNow, let's subtract the people who couldn't come due to illness and those with previous commitments from the total number of people invited: \n\n24 (total invited) - 8 (illness) - 2 (previous commitments) = 14 people. \n\nTherefore, $\\boxed{14}$ people will show up for Martha's party.", "answer": {"result": 14}}, "matches": true} +{"solution": {"solution": "Solomon bought 20 marbles from Johanna and added them to the store, so he now has 20 + 50 = 70 marbles in the store.\nHis father gave him 2/5 times as many marbles as he bought from Johanna, which is 2/5 * 20 = 8 marbles.\nAdding these to the store, Solomon now has 70 + 8 = 78 marbles in the store.\nEach marble weighs 2kgs, so the total weight of the marbles in the store is 78 * 2 = 156kgs.\n#### 156\nThe answer is: 156", "answer": {"result": 156}}, "matches": true} +{"solution": {"solution": "First, we need to calculate the volume of the pool. The volume of a rectangular prism (which is the shape of the pool) is found by multiplying its length, width, and depth.\n\nVolume = Length \u00d7 Width \u00d7 Depth\nVolume = 6 feet \u00d7 4 feet \u00d7 5 feet\nVolume = 120 cubic feet\n\nNow that we know the volume, we can calculate the cost to fill the pool. The cost is given as $0.1 per cubic foot.\n\nCost = Volume \u00d7 Cost per cubic foot\nCost = 120 cubic feet \u00d7 $0.1/cubic foot\nCost = $12.00\n\nTherefore, it costs $\\$12.00$ to fill the pool.", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "If there are 30 boys in the classroom, and the number of girls is 3 times the number of boys, then there are 3 * 30 = 90 girls.\n\nThe number of nongendered children is 1/10 of the number of boys, so there are 30 / 10 = 3 nongendered children.\n\nTo find the total number of children, we add the number of boys, girls, and nongendered children: 30 (boys) + 90 (girls) + 3 (nongendered) = $\\boxed{123}$ total children.", "answer": {"result": 123}}, "matches": true} +{"solution": {"solution": "\n\nTo find the total number of electric poles required, we first need to determine the number of electric wires connected to each electric pole. Given the ratio of electric poles to electric wires is 1:3, this means that for every electric pole, there are 3 electric wires. \n\nThe total number of electric wires needed is 45. Since each pole is connected to 3 wires, we can find the number of poles by dividing the total number of wires by the number of wires per pole. \n\n\\[ \\text{Number of poles} = \\frac{\\text{Total number of wires}}{\\text{Wires per pole}} = \\frac{45}{3} \\]\n\n\\[ \\text{Number of poles} = 15 \\]\n\nTherefore, the total number of electric poles required is $\\boxed{15}$.\n\nAnswer: 15", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the initial total number of people:**\n - There were initially 25 men and 15 women.\n \\[\n \\text{Total initial number of people} = 25 + 15 = 40\n \\]\n\n2. **Calculate the number of people who left:**\n - 1/4 of the total number of people left.\n \\[\n \\frac{1}{4} \\times 40 = 10 \\text{ people}\n \\]\n\n3. **Determine the number of men who left:**\n - 22 men stayed at the party.\n \\[\n \\text{Number of men who left} = 25 - 22 = 3 \\text{ men}\n \\]\n\n4. **Calculate the number of women who left:**\n - Since 10 people in total left, and 3 of them were men, the remaining must be women.\n \\[\n \\text{Number of women who left} = 10 - 3 = 7 \\text{ women}\n \\]\n\n5. **Calculate the remaining number of women:**\n - There were initially 15 women.\n - 7 women left.\n \\[\n \\text{Remaining women} = 15 - 7 = 8 \\text{ women}\n \\]\n\n### Conclusion:\n\n\\[\n\\boxed{8}\n\\]", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "If the book costs $4, and a magazine costs half as much as a book, then the magazine costs $4 / 2 = $2. \n\nSince the pen costs $1 less than a magazine, the pen costs $2 - $1 = $1. \n\nTherefore, the pen costs $\\boxed{\\$1}$ .", "answer": {"result": 1}}, "matches": true} +{"solution": {"solution": "Jam has three boxes full of pencils, which means she has 3 * x pencils, where x is the number of pencils in each box. \nShe also has 2 loose pencils. \nSo, the total number of pencils Jam has is 3x + 2.\n\nMeg has 46 pencils.\n\nTo find out how many pencils Jam and Meg have together, we add their pencils: \n3x + 2 + 46 = 3x + 48.\n\nWe know that the total number of pencils is 26, so we can set up an equation:\n3x + 48 = 26.\n\nNow, let's solve for x:\n3x = 26 - 48\n3x = -22\n\nSince the number of pencils cannot be negative, we must have made a mistake. Let's re-evaluate our equation:\n\n3x + 2 + 46 = 3x + 48\n\nWe know that the total number of pencils Jam and Meg have is 26, so we can set up the correct equation:\n3x + 2 + 46 = 26\n\nNow, let's solve for x:\n3x + 48 = 26\n3x = 26 - 48\n3x = -22\n\nAgain, we have a negative number, which is not possible. This means we need to re-evaluate our understanding of the problem.\n\nLet's go back to the original information:\nJam has three boxes full of pencils, which means she has 3 * x pencils, where x is the number of pencils in each box. \nShe also has 2 loose pencils. \nSo, the total number of pencils Jam has is 3x + 2.\n\nMeg has 46 pencils.\n\nTo find out how many boxes Jam and Meg need to store all their pencils, we need to find the total number of pencils they have together and divide by the number of pencils per box.\n\nThe total number of pencils they have together is 3x + 2 + 46.\n\nWe know that this total is 26, so we can set up the equation:\n3x + 2 + 46 = 26\n\nNow, let's solve for x:\n3x + 48 = 26\n3x = 26 - 48\n3x = -22\n\nWe still have a negative number, which is not possible. This means we need to re-evaluate our understanding of the problem.\n\nLet's go back to the original information:\nJam has three boxes full of pencils, which means she has 3 * x pencils, where x is the number of pencils in each box. \nShe also has 2 loose pencils. \nSo, the total number of pencils Jam has is 3x + 2.\n\nMeg has 46 pencils.\n\nTo find out how many boxes Jam and Meg need to store all their pencils, we need to find the total number of pencils they have together and divide by the number of pencils per box.\n\nThe total number of pencils they have together is 3x + 2 + 46.\n\nWe know that this total is 26, so we can set up the equation:\n3x + 2 + 46 = 26\n\nNow, let's solve for x:\n3x + 48 = 26\n3x = 26 - 48\n3x = -22\n\nWe still have a negative number, which is not possible. This means we need to re-evaluate our understanding of the problem.\n\nLet's go back to the original information:\nJam has three boxes full of pencils, which means she has 3 * x pencils, where x is the number of pencils in each box. \nShe also has 2 loose pencils. \nSo, the total number of pencils Jam has is 3x + 2.\n\nMeg has 46 pencils.\n\nTo find out how many boxes Jam and Meg need to store all their pencils, we need to find the total number of pencils they have together and divide by the number of pencils per box.\n\nThe total number of pencils they have together is 3x + 2 + 46.\n\nWe know that this total is 26, so we can set up the equation:\n3x + 2 + 46 = 26\n\nNow, let's solve for x:\n3x + 48 = 26\n3x = 26 - 48\n3x = -22\n\nWe still have a negative number, which is not possible. This means we need to re-evaluate our understanding of the problem.\n\nLet's go back to the original information:\nJam has three boxes full of pencils, which means she has 3 * x pencils, where x is the number of pencils in each box. \nShe also has 2 loose pencils. \nSo, the total number of pencils Jam has is 3x + 2.\n\nMeg has 46 pencils.\n\nTo find out how many boxes Jam and Meg need to store all their pencils, we need to find the total number of pencils they have together and divide by the number of pencils per box.\n\nThe total number of pencils they have together is 3x + 2 + 46.\n\nWe know that this total is 26, so we can set up the equation:\n3x + 2 + 46 = 26\n\nNow, let's solve for x:\n3x + 48 = 26\n3x = 26 - 48\n3x = -22\n\nWe still have a negative number, which is not possible. This means we need to re-evaluate our understanding of the problem.\n\nLet's go back to the original information:\nJam has three boxes full of pencils, which means she has 3 * x pencils, where x is the number of pencils in each box. \nShe also has 2 loose pencils. \nSo, the total number of pencils Jam has is 3x + 2.\n\nMeg has 46 pencils.\n\nTo find out how many boxes Jam and Meg need to store all their pencils, we need to find the total number of pencils they have together and divide by the number of pencils per box.\n\nThe total number of pencils they have together is 3x + 2 + 46.\n\nWe know that this total is 26, so we can set up the equation:\n3x + 2 + 46 = 26\n\nNow, let's solve for x:\n3x + 48 = 26\n3x = 26 - 48\n3x = -22\n\nWe still have a negative number, which is not possible. This means we need to re-evaluate our understanding of the problem.\n\nLet's go back to the original information:\nJam has three boxes full of pencils, which means she has 3 * x pencils, where x is the number of pencils in each box. \nShe also has 2 loose pencils. \nSo, the total number of pencils Jam has is 3x + 2.\n\nMeg has 46 pencils.\n\nTo find out how many boxes Jam and Meg need to store all their pencils, we need to find the total number of pencils they have together and divide by the number of pencils per box.\n\nThe total number of pencils they have together is 3x + 2 + 46.\n\nWe know that this total is 26, so we can set up the equation:\n3x + 2 + 46 = 26\n\nNow, let's solve for x:\n3x + 48 = 26\n3x = 26 - 48\n3x = -22\n\nWe still have a negative number, which is not possible. This means we need to re-evaluate our understanding of the problem.\n\nLet's go back to the original information:\nJam has three boxes full of pencils, which means she has 3 * x pencils, where x is the number of pencils in each box. \nShe also has 2 loose pencils. \nSo, the total number of pencils Jam has is 3x + 2.\n\nMeg has 46 pencils.\n\nTo find out how many boxes Jam and Meg need to store all their pencils, we need to find the total number of pencils they have together and divide by the number of pencils per box.\n\nThe total number of pencils they have together is 3x + 2 + 46.\n\nWe know that this total is 26, so we can set up the equation:\n3x + 2 + 46 = 26\n\nNow, let's solve for x:\n3x + 48 = 26\n3x = 26 - 48\n3x = -22\n\nWe still have a negative number, which is not possible. This means we need to re-evaluate our understanding of the problem.\n\nLet's go back to the original information:\nJam has three boxes full of pencils, which means she has 3 * x pencils, where x is the number of pencils in each box. \nShe also has 2 loose pencils. \nSo, the total number of pencils Jam has is 3x + 2.\n\nMeg has 46 pencils.\n\nTo find out how many boxes Jam and Meg need to store all their pencils, we need to find the total number of pencils they have together and divide by the number of pencils per box.\n\nThe total number of pencils they have together is 3x + 2 + 46.\n\nWe know that this total is 26, so we can set up the equation:\n3x + 2 + 46 = 26\n\nNow, let's solve for x:\n3x + 48 = 26\n3x = 26 - 48\n3x = -22\n\nWe still have a negative number, which is not possible. This means we need to re-evaluate our understanding of the problem.\n\nLet's go back to the original information:\nJam has three boxes full of pencils, which means she has 3 * x pencils, where x is the number of pencils in each box. \nShe also has 2 loose pencils. \nSo, the total number of pencils Jam has is 3x + 2.\n\nMeg has 46 pencils.\n\nTo find out how many boxes Jam and Meg need to store all their pencils, we need to find the total number of pencils they have together and divide by the number of pencils per box.\n\nThe total number of pencils they have together is 3x + 2 + 46.\n\nWe know that this total is 26, so we can set up the equation:\n3x + 2 + 46 = 26\n\nNow, let's solve for x:\n3x + 48 = 26\n3x = 26 - 48\n3x = -22\n\nWe still have a negative number, which is not possible. This means we need to re-evaluate our understanding of the problem.\n\nLet's go back to the original information:\nJam has three boxes full of pencils, which means she has 3 * x pencils, where x is the number of pencils in each box. \nShe also has 2 loose pencils. \nSo, the total number of pencils Jam has is 3x + 2.\n\nMeg has 46 pencils.\n\nTo find out how many boxes Jam and Meg need to store all their pencils, we need to find the total number of pencils they have together and divide by the number of pencils per box.\n\nThe total number of pencils they have together is 3x + 2 + 46.\n\nWe know that this total is 26, so we can set up the equation:\n3x + 2 + 46 = 26\n\nNow, let's solve for x:\n3x + 48 = 26\n3x = 26 - 48\n3x = -22\n\nWe still have a negative number, which is not possible. This means we need to re-evaluate our understanding of the problem.\n\nLet", "answer": {"result": 15}}, "matches": false} +{"solution": {"solution": "To find out how many milliliters weaker Shannon's iced coffee is when it is cooled by 65 degrees and she adds 15 milliliters of cream, we follow these steps:\n\n1. **Calculate the total amount of ice needed to cool the coffee by 65 degrees**: Given that each ice cube cools the coffee by 13 degrees, the total amount of cooling needed is 65 degrees. Therefore, the number of ice cubes required is calculated as:\n\\[ \\frac{65}{13} = 5 \\]\nThis means Shannon needs 5 ice cubes to cool the coffee by 65 degrees.\n\n2. **Determine the total volume of liquid weakened by the ice**: Since each ice cube weakens the coffee by 12 milliliters, and Shannon needs 5 ice cubes, the total volume weakened by the ice is:\n\\[ 12 \\times 5 = 60 \\text{ milliliters} \\]\n\n3. **Account for the added cream**: Shannon adds 15 milliliters of cream, which further weakens the coffee. However, since the problem specifies that any added liquid also weakens the coffee, the 15 milliliters of cream count towards the total weakening of the coffee. Therefore, the total volume of liquid weakened by the ice and cream is:\n\\[ 60 + 15 = 75 \\text{ milliliters} \\]\n\nThus, the final answer, encapsulated as requested, is:\n\\[ \\boxed{75} \\]", "answer": {"result": 75}}, "matches": true} +{"solution": {"solution": "If 5 people came in and left with 7 new records between them, that means they traded a total of 7 new records for old records. \n\nSince 2 old records are traded for 1 new record, we can calculate the number of old records brought in by these 5 people as follows:\n\nFor every 1 new record, 2 old records are traded.\n\nSo for 7 new records, the number of old records traded in would be:\n7 new records * 2 old records/new record = 14 old records\n\nTherefore, the 5 people brought in $\\boxed{14}$ old records.", "answer": {"result": 14}}, "matches": true} +{"solution": {"solution": "First, let's calculate the number of junior programmers. Since junior programmers make up 2/5 of the total number of employees, we have:\n\nNumber of junior programmers = (2/5) * 100 = 40\n\nEach junior programmer is paid $2000 per month, so the total amount paid to junior programmers is:\n\nTotal paid to junior programmers = 40 * $2000 = $80000\n\nNow, let's find out how many senior programmers there are. Since there are 100 employees in total and 40 of them are junior programmers, the remaining employees must be senior programmers:\n\nNumber of senior programmers = 100 - 40 = 60\n\nEach senior programmer is paid $400 more than a junior programmer, so their monthly pay is:\n\nSenior programmer pay = $2000 + $400 = $2400\n\nThe total amount paid to senior programmers is:\n\nTotal paid to senior programmers = 60 * $2400 = $144000\n\nFinally, to find the total amount of money the company pays to all the programmers per month, we add the amounts paid to junior and senior programmers:\n\nTotal paid to all programmers = Total paid to junior programmers + Total paid to senior programmers\nTotal paid to all programmers = $80000 + $144000 = $224000\n\nSo, the company pays a total of $224000 per month to all the programmers.\n\nAnswer: \\boxed{224000}", "answer": {"result": 224000}}, "matches": true} +{"solution": {"solution": "Let's denote the number of people who got on the bus at the terminal as x. \n\nAt the first bus stop, 5 more people got in, so the number of people on the bus became x + 5.\n\nAt the second bus stop, 7 people got down and 8 more got in. This means the number of people on the bus decreased by 7 and then increased by 8. So the change in the number of people on the bus from the first stop to the second stop is 8 - 7 = 1.\n\nTherefore, the number of people on the bus at the second stop is (x + 5) + 1.\n\nWe are told that there were a total of 20 people heading to the third stop. So, the number of people on the bus at the second stop must be 20.\n\nSo, we have the equation:\nx + 5 + 1 = 20\n\nSolving for x:\nx + 6 = 20\nx = 20 - 6\nx = 14\n\nTherefore, $\\boxed{14}$ people got on the bus at the terminal.", "answer": {"result": 14}}, "matches": true} +{"solution": {"solution": "Oscar starts with 24 lollipops. \nHe eats 2 on his way to school, so he has 24 - 2 = 22 lollipops left. \nHe passes out 14 to his friends, so he has 22 - 14 = 8 lollipops left. \nHe buys twice as many lollipops on his way home as he gave to his friends, so he buys 14 x 2 = 28 lollipops. \nHe now has 8 + 28 = 36 lollipops. \nHe eats 3 more that night, so he has 36 - 3 = 33 lollipops left. \nHe eats 2 more in the morning, so he has 33 - 2 = 31 lollipops remaining. \n#### 31\nThe answer is: 31", "answer": {"result": 31}}, "matches": true} +{"solution": {"solution": ": \n\n1. **Determine the total percentage points needed to reach 100%:**\n\n The phone is currently at 60% charge. To reach 100%, it needs a total of:\n \\[\n 100\\% - 60\\% = 40\\%\n \\]\n\n2. **Convert the percentage points into a rate of charge per minute:**\n\n The phone charges at a rate of 1 percentage point every 3 minutes. To find out how many minutes are needed to charge 40 percentage points, we set up the following proportion:\n \\[\n \\frac{1 \\text{ percentage point}}{3 \\text{ minutes}} = \\frac{40 \\text{ percentage points}}{x \\text{ minutes}}\n \\]\n\n3. **Solve for \\( x \\):**\n\n Cross-multiply to solve for \\( x \\):\n \\[\n 1 \\times x = 40 \\times 3\n \\]\n \n \\[\n x = 120 \\text{ minutes}\n \\]\n\n4. **Convert the time from minutes to hours:**\n\n Since there are 60 minutes in an hour, we convert 120 minutes to hours:\n \\[\n \\frac{120 \\text{ minutes}}{60 \\text{ minutes/hour}} = 2 \\text{ hours}\n \\]\n\n### Conclusion:\n\nThe phone will take 2 hours to fully charge.\n\n\\[\n\\boxed{2 \\text{ hours}}\n\\]", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "Erin starts with 7 lollipops. Her mother gives her 10 more, so she now has:\n\n7 + 10 = 17 lollipops\n\nErin then gives 3 lollipops to Ella:\n\n17 - 3 = 14 lollipops\n\nAfter giving 3 lollipops to Ella, Erin is left with $\\boxed{14}$ lollipops.", "answer": {"result": 14}}, "matches": true} +{"solution": {"solution": "\nFor the first $60 spent, the customer earned $60 / $20 = 3 rewards.\nThese rewards can be used to take $3 x $1 = $3 off their next purchase.\nFor this shopping trip, they spent $43 - $3 = $40 after using their rewards.\nThe coupon allowed them to take twice the amount of the rewards off, so the coupon took 2 x $3 = $6 off.\nThus, the customer paid $40 - $6 = $34 for this shopping trip.\nThe answer is 34", "answer": {"result": 34}}, "matches": false} +{"solution": {"solution": "To determine which job offers a higher net pay rate, we need to calculate the net income for each job, considering the taxes and property tax.\n\n**Job A:**\n- Hourly wage: $15/hour\n- Hours worked per year: 2000\n- Total annual income before taxes: $15/hour * 2000 hours = $30,000\n- Total tax rate: 20%\n- Property tax is not applicable for Job A.\n- Tax amount: $30,000 * 20% = $6,000\n- Net income: $30,000 - $6,000 = $24,000\n\n**Job B:**\n- Annual salary: $42,000\n- Property tax: $6,000\n- Total tax rate: 10%\n- Income after property tax: $42,000 - $6,000 = $36,000\n- Tax amount: $36,000 * 10% = $3,600\n- Net income: $36,000 - $3,600 = $32,400\n\n**Comparison:**\n- Difference in net income: $32,400 (Job B) - $24,000 (Job A) = $8,400\n\nNick will make $\\boxed{\\$8,400}$ more at Job B, which has the higher net pay rate compared to Job A.", "answer": {"result": 8400}}, "matches": true} +{"solution": {"solution": "If 40 percent of the castles are ruins, then there are 220 x 0.40 = 88 ruined castles.\nIf half of the ruined castles are unmanned, then there are 88 / 2 = 44 unmanned ruined castles.\n#### 44\nThe answer is: 44", "answer": {"result": 44}}, "matches": true} +{"solution": {"solution": "To find the cost difference between the two offers, we need to calculate the total cost of each offer.\n\n**Furniture United's Offer:**\n- Advance payment: $1,350\n- Monthly installments: $350 each for 6 months\n\nTotal cost for Furniture United's offer = Advance payment + (Monthly installment \u00d7 Number of installments)\nTotal cost for Furniture United's offer = $1,350 + ($350 \u00d7 6)\nTotal cost for Furniture United's offer = $1,350 + $2,100\nTotal cost for Furniture United's offer = $3,450\n\n**Cozy Homes' Offer:**\n- Advance payment: $1,100\n- Monthly installments: $250 each for 9 months\n\nTotal cost for Cozy Homes' offer = Advance payment + (Monthly installment \u00d7 Number of installments)\nTotal cost for Cozy Homes' offer = $1,100 + ($250 \u00d7 9)\nTotal cost for Cozy Homes' offer = $1,100 + $2,250\nTotal cost for Cozy Homes' offer = $3,350\n\nNow, to find the cost difference between the two offers, we subtract the total cost of Cozy Homes' offer from the total cost of Furniture United's offer.\n\nCost difference = Total cost for Furniture United's offer - Total cost for Cozy Homes' offer\nCost difference = $3,450 - $3,350\nCost difference = $100\n\nThe cost difference between the two offers is $\\boxed{\\$100}$ .", "answer": {"result": 100}}, "matches": true} +{"solution": {"solution": "To find out how many guns each person would have if they shared their guns equally, we first need to determine the total number of paintball guns they all have together. \n\n1. Add up all the guns each person has:\n - DJ has 8 guns.\n - Nick has 10 guns.\n - RJ has 1 gun.\n - Richard has 5 guns.\n\n So, the total number of guns is $8 + 10 + 1 + 5 = 24$ guns.\n\n2. Since they are sharing the guns equally, we divide the total number of guns by the number of people:\n\n \\[\n \\frac{24 \\text{ guns}}{4 \\text{ people}} = 6 \\text{ guns per person}\n \\]\n\nTherefore, if they were to share their guns equally, each person would have $\\boxed{6}$ guns.", "answer": {"result": 6}}, "matches": true} +{"solution": {"solution": "To find out how much sugar Mason needs to make 8 batches of suckers and 1 batch of fudge, we calculate the sugar required for each separately and then sum them up.\n\nFor the suckers, Mason needs 30 ounces per batch. For 8 batches, the total sugar needed is calculated as follows:\n\\[30 \\, \\text{ounces/batch} \\times 8 \\, \\text{batches} = 240 \\, \\text{ounces}\\]\n\nFor the fudge, Mason needs 70 ounces per batch. For 1 batch, the total sugar needed is simply:\n\\[70 \\, \\text{ounces/batch} \\times 1 \\, \\text{batch} = 70 \\, \\text{ounces}\\]\n\nAdding the sugar needed for suckers and fudge together gives the total sugar required:\n\\[240 \\, \\text{ounces} + 70 \\, \\text{ounces} = 310 \\, \\text{ounces}\\]\n\nTherefore, Mason needs $\\boxed{310}$ ounces of sugar to make 8 batches of suckers and 1 batch of fudge.", "answer": {"result": 310}}, "matches": true} +{"solution": {"solution": "First, calculate the value of Maria's shares after the first year's 50% increase:\n\\[ \\text{Value after first year} = 8 \\times 1.50 \\]\n\\[ \\text{Value after first year} = 12 \\text{ dollars per share} \\]\n\nNext, calculate the value of Maria's shares after the second year's 25% decrease:\n\\[ \\text{Value after second year} = 12 \\times 0.75 \\]\n\\[ \\text{Value after second year} = 9 \\text{ dollars per share} \\]\n\nFinally, determine the total value of Maria's 8 shares:\n\\[ \\text{Total value} = 8 \\times 9 \\]\n\\[ \\text{Total value} = 72 \\text{ dollars} \\]\n\nConclusion with boxed answer:\n\\[ \\boxed{72} \\]", "answer": {"result": 72}}, "matches": true} +{"solution": {"solution": "1. First, determine how many hot dogs Thomas ate. Since Thomas ate three times more hot dogs than Luke, and Luke ate 2 hot dogs, we calculate:\n \\[\n \\text{Thomas's hot dogs} = 3 \\times 2 = 6 \\text{ hot dogs}\n \\]\n\n2. Next, calculate how many hot dogs John ate. John ate half the amount Thomas ate, so:\n \\[\n \\text{John's hot dogs} = \\frac{6}{2} = 3 \\text{ hot dogs}\n \\]\n\n3. Finally, find out how many more hot dogs John ate compared to Luke:\n \\[\n \\text{Difference} = \\text{John's hot dogs} - \\text{Luke's hot dogs} = 3 - 2 = 1\n \\]\n\nThus, John ate 1 more hot dog than Luke.\n\n\\[\n\\boxed{1}\n\\]", "answer": {"result": 1}}, "matches": true} +{"solution": {"solution": "\n1. The total number of students in the class is given as 200.\n2. The class is divided into three groups, with two groups being of equal size and the third being the smallest.\n3. Let the number of students in the two larger groups be \\( x \\).\n4. Therefore, the third group, which is the smallest, has \\( x - 10 \\) students.\n\n5. The total number of students in the class can be expressed as the sum of the students in all three groups:\n \\[\n 2x + (x - 10) = 200\n \\]\n6. Combine like terms:\n \\[\n 3x - 10 = 200\n \\]\n7. Solve for \\( x \\) by isolating \\( x \\):\n \\begin{align*}\n 3x - 10 &= 200 \\\\\n 3x &= 200 + 10 \\\\\n 3x &= 210 \\\\\n x &= \\frac{210}{3} \\\\\n x &= 70\n \\end{align*}\n\n8. Now, calculate the number of students in the smallest group:\n \\[\n x - 10 = 70 - 10 = 60\n \\]\n\n9. Therefore, the number of students in the smallest group is:\n \\[\n \\boxed{60}\n \\]", "answer": {"result": 60}}, "matches": true} +{"solution": {"solution": "Let's denote the number of cows as $c$. Given that Farmer Brown has twice as many chickens as cows, we can express the number of chickens as $2c$. \n\nThe total number of animals is given as 60, which allows us to set up the following equation:\n\n\\[c + 2c = 60\\]\n\nSimplifying this equation gives:\n\n\\[3c = 60\\]\n\nDividing both sides by 3 to solve for $c$:\n\n\\[c = \\frac{60}{3} = 20\\]\n\nNow that we know there are 20 cows on the farm, we can find the number of chickens by doubling this number:\n\n\\[2c = 2 \\times 20 = 40\\]\n\nCows have 4 legs each, and chickens have 2 legs each. Therefore, the total number of legs can be calculated as follows:\n\nFor cows:\n\n\\[20 \\text{ cows} \\times 4 \\text{ legs/cow} = 80 \\text{ legs}\\]\n\nFor chickens:\n\n\\[40 \\text{ chickens} \\times 2 \\text{ legs/chicken} = 80 \\text{ legs}\\]\n\nAdding the legs of cows and chickens together gives the total number of legs:\n\n\\[80 \\text{ (cow legs)} + 80 \\text{ (chicken legs)} = 160 \\text{ legs}\\]\n\nTherefore, the total number of legs all the animals have together is $\\boxed{160}$ legs.", "answer": {"result": 160}}, "matches": true} +{"solution": {"solution": "Josh starts off practicing with 3 balls and adds 1 ball each week for 4 weeks. \nSo, after 4 weeks, he has 3 + 4 = 7 balls.\nHowever, during the talent show, he drops 3 balls. \n2 of the balls are caught, but 1 is lost.\nTherefore, Josh is left with 7 - 3 + 2 = 6 balls.\n#### 6\nThe answer is: 6", "answer": {"result": 6}}, "matches": false} +{"solution": {"solution": "1. The problem states that the pink frog weighs 50 pounds.\n2. Given that the pink frog weighs the same as a blue beetle, a green toad, and a yellow snake, each of these animals also weighs 50 pounds.\n3. The pink frog weighs 10 pounds less than the yellow snake. This statement seems inconsistent with the previous statement that the pink frog and the yellow snake weigh the same, which implies a contradiction. For the sake of consistency in the problem's structure, we assume the initial statement is correct, and the yellow snake weighs 60 pounds (50 pounds + 10 pounds).\n4. The pink frog weighs 20 pounds more than the red bird. Therefore, the red bird weighs \\(50 - 20 = 30\\) pounds.\n5. Now, we calculate the total weight of one of each animal:\n - Pink frog: 50 pounds\n - Blue beetle: 50 pounds\n - Green toad: 50 pounds\n - Yellow snake: 60 pounds\n - Red bird: 30 pounds\n6. Summing these weights:\n \\[\n 50 + 50 + 50 + 60 + 30 = 240 \\text{ pounds}\n \\]\n7. Additionally, the container holding these animals weighs 20 pounds. Thus, the total weight of the container with all the animals is:\n \\[\n 240 \\text{ pounds} + 20 \\text{ pounds} = 260 \\text{ pounds}\n \\]\n\n### Conclusion:\nThe total weight of the container with one of each animal is \\( \\boxed{260} \\) pounds.", "answer": {"result": 260}}, "matches": true} +{"solution": {"solution": "Laurel received 24 baby outfits from her friend.\nAt her baby shower, she received twice the amount of new baby outfits, so she received 24 x 2 = 48 new baby outfits.\nHer mom also gifted her with 15 baby outfits.\nIn total, Laurel has 24 + 48 + 15 = 87 baby outfits for her baby.\n#### 87\nThe answer is: 87", "answer": {"result": 87}}, "matches": true} +{"solution": {"solution": "If Tyson runs 5000 meters every day, 1/5 times more meters would be 1/5 * 5000 = 1000 meters.\nSo, if he follows his coach's advice, he will run 5000 + 1000 = 6000 meters every day.\nIn a month, there are approximately 30 days.\nTherefore, if Tyson trains for a month, he will cover a total distance of 6000 * 30 = 180,000 meters.\n#### 180000\nThe answer is: 180000", "answer": {"result": 180000}}, "matches": true} +{"solution": {"solution": "First, calculate the price of Juice Box B. Juice Box B is 5 dollars more than Juice Box A, which costs 4 dollars. Therefore, Juice Box B costs:\n$$4 + 5 = 9\\text{ dollars}$$\n\nNext, calculate the price of Juice Box C. Juice Box C is 7 dollars more than Juice Box A, which costs 4 dollars. Therefore, Juice Box C costs:\n$$4 + 7 = 11\\text{ dollars}$$\n\nNow, find the difference between Juice Box C and Juice Box B:\n$$11 - 9 = 2\\text{ dollars}$$\n\nThus, Juice Box C is $\\boxed{2}$ dollars more than Juice Box B.The answer is: 2", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "The total number of legs on the tables with 4 legs is 40 tables * 4 legs/table = 160 legs.\nThe total number of legs on the tables with 3 legs is 50 tables * 3 legs/table = 150 legs.\nAdding the legs from both types of tables, the total number of legs is 160 legs + 150 legs = 310 legs.\n#### 310\nThe answer is: 310", "answer": {"result": 310}}, "matches": true} +{"solution": {"solution": "Jenny's son eats 4 cookies a day for 5 days, so he eats a total of 4 * 5 = 20 cookies.\n\nJenny's husband eats 1 cookie a day for 7 days, so he eats a total of 1 * 7 = 7 cookies.\n\nIn total, Jenny's son and husband eat 20 + 7 = 27 cookies.\n\nSince a bag has 36 cookies and they have eaten 27, Jenny eats the remaining 36 - 27 = $\\boxed{9}$ cookies.", "answer": {"result": 9}}, "matches": true} +{"solution": {"solution": "Each shirt cost $30, so the total cost for 2 shirts is $30 x 2 = $60. \n\nIf Davos received a 40% discount, he would only have to pay 100% - 40% = 60% of the original price. \n\nTo find out how much he paid, we calculate 60% of $60: \n\n$60 x 0.6 = $36. \n\nDavos paid $36 for the 2 shirts after the discount. \n\n#### 36\nThe answer is: 36", "answer": {"result": 36}}, "matches": true} +{"solution": {"solution": "\nTo find the percentage increase in daily earnings, we first calculate the earnings from tractors and then the earnings from silos, and finally compare them.\n\n1. **Calculate daily earnings from tractors:**\n - They sold 10 tractors a day.\n - Each tractor made $100.\n - Therefore, daily earnings from tractors are:\n \\[\n 10 \\times 100 = 1000 \\text{ dollars per day}\n \\]\n\n2. **Calculate daily earnings from silos:**\n - They sell 5 silos a day.\n - Each silo makes $220.\n - Therefore, daily earnings from silos are:\n \\[\n 5 \\times 220 = 1100 \\text{ dollars per day}\n \\]\n\n3. **Calculate the percentage increase in daily earnings:**\n - The new daily earnings are $1100.\n - The old daily earnings were $1000.\n - The increase in earnings is:\n \\[\n 1100 - 1000 = 100 \\text{ dollars}\n \\]\n - To find the percentage increase, we use the formula:\n \\[\n \\text{Percentage Increase} = \\left( \\frac{\\text{Increase}}{\\text{Original Value}} \\right) \\times 100\\%\n \\]\n - Substituting the values:\n \\[\n \\text{Percentage Increase} = \\left( \\frac{100}{1000} \\right) \\times 100\\% = 10\\%\n \\]\n\n4. **Conclusion:**\n - The factory's daily earnings have increased by $10\\%$.\n\n\\[\n\\boxed{10\\%}\n\\]", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "First, let's calculate the monthly cost for each item:\n- Food: $25 per week, so for a month with 4 weeks, the monthly cost is $25 * 4 = $100.\n- Treats: $20 per month remains the same.\n- Medicine: $100 per month remains the same.\n\nNow, let's add up the monthly costs to find the total monthly expenditure:\n- Total monthly expenditure = Food + Treats + Medicine\n- Total monthly expenditure = $100 + $20 + $100 = $220.\n\nFinally, to find the annual expenditure, we multiply the monthly expenditure by the number of months in a year:\n- Annual expenditure = Total monthly expenditure * 12 months\n- Annual expenditure = $220 * 12 = $2640.\n\nMadeline spends $\\boxed{\\$2640}$ on her dog per year.", "answer": {"result": 2640}}, "matches": true} +{"solution": {"solution": "Monday's yoga class lasts for 1 hour.\nTuesday's cooking class lasts three times as long as Monday's yoga, so it lasts for 1 hour * 3 = 3 hours.\nWednesday's cheese-tasting event lasts for 0.5 hours.\nThursday's museum tour lasts half as long as Tuesday's cooking class, so it lasts for 3 hours / 2 = 1.5 hours.\nFriday's errands last for 2 hours.\n\nTo find the total time for all activities, we add the hours together: 1 hour (Monday) + 3 hours (Tuesday) + 0.5 hours (Wednesday) + 1.5 hours (Thursday) + 2 hours (Friday) = 8 hours.\n\n#### 8\nThe answer is: 8", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "April needs 30 plant pots for the daisies and twice as many for the roses, so she needs 30 x 2 = 60 plant pots for the roses. \n\nIn total, April needs 30 + 60 = 90 plant pots for the flowers. \n\nApril had bought 100 plant pots from the garden center, so she has 100 - 90 = $\\boxed{10}$ plant pots left over.", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "Andrea had $36 in the beginning.\n\nShe spent $11 on a sweater and gave her brother $4.\n\nSo, the total amount she spent is $11 + $4 = $15.\n\nTo find out how much she saved, we subtract the amount she spent from the amount she had in the beginning.\n\n$36 - $15 = $21.\n\nTherefore, Andrea saved $\\boxed{\\$21}$ .", "answer": {"result": 21}}, "matches": true} +{"solution": {"solution": "John spends half the time he spends boating swimming, so he spends 6/2 = 3 hours swimming. \n\nThe total time spent watching shows is 3 shows * 2 hours/show = 6 hours.\n\nThe time spent watching shows is 30% of the total time, so we can set up the equation: 6 hours = 0.30 * total time.\n\nTo find the total time, we divide both sides of the equation by 0.30: total time = 6 hours / 0.30 = 20 hours.\n\nNow, we know that 40% of the total time was spent sightseeing. So, we calculate 40% of 20 hours: 0.40 * 20 hours = 8 hours.\n\nJohn spent $\\boxed{8}$ hours sightseeing.", "answer": {"result": 8}}, "matches": false} +{"solution": {"solution": "\nFirst, let's calculate how much Annabelle earns from her first job:\n\n$10/hour * 20 hours = $200\n\nNext, let's calculate how much Annabelle earns from her second job:\n\n$5/hour * 15 hours = $75\n\nNow, let's add her earnings from both jobs:\n\n$200 + $75 = $275\n\nFinally, let's add her earnings to her initial savings to find out how much she has saved in total:\n\n$275 + $80 = $355\n\nTo find out how much more money Annabelle needs to save, we subtract the total amount she has from the cost of the phone:\n\n$400 - $355 = $45\n\nAnnabelle still needs to save $45.\n\nAnswer:\n\n$45\n\nThe answer is: 45", "answer": {"result": 45}}, "matches": true} +{"solution": {"solution": "The second tree is 6 + 5 = 11 feet tall. \n\nThe total height of the first two trees is 6 + 11 = 17 feet. \n\nThe tallest tree is twice as tall as the combined height of the first two trees, so it is 17 x 2 = 34 feet tall. \n\n#### 34\nThe answer is: 34", "answer": {"result": 34}}, "matches": true} +{"solution": {"solution": "Dean bought 6 toy cars at $2 each, so he spent 6 * $2 = $12 on toy cars. \n\nHe also bought 5 teddy bears at $1 each, so he spent 5 * $1 = $5 on teddy bears. \n\nIn total, Dean spent $12 + $5 = $17 on toys. \n\nHis mother gave him an extra $10, so he now has $28 + $10 = $38. \n\nAfter buying the toys and receiving the extra money, Dean has $38 - $17 = $21 left. \n\n#### 21\nThe answer is: 21", "answer": {"result": 21}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total cost of the activities Morgan wants to participate in:\n\n- Mini-golf: $5 per round, and Morgan wants to play one round, so that's $5.\n- Arcade tokens: $5 for tokens.\n- Go-karts: $10 per ride, and Morgan wants to ride twice, so that's $10 x 2 = $20.\n\nNow, let's add up these costs to find the total amount spent on Morgan's activities:\n\n$5 (mini-golf) + $5 (arcade tokens) + $20 (go-karts) = $30\n\nMorgan's dad has budgeted $90 for the party. To find out how much money is left for Morgan to invite friends, we subtract the total cost of her activities from the budget:\n\n$90 (total budget) - $30 (Morgan's activities) = $60\n\nThis $60 is the amount Morgan has to spend on inviting friends. Since we don't know how much Morgan plans to spend on each friend, we can't determine the exact number of friends she can invite. The number of friends she can invite will depend on how she decides to allocate the remaining $60. Without additional information, we cannot provide a specific number. If Morgan decides to spend a certain amount per friend, we could calculate the number of friends by dividing the remaining budget by the cost per friend. However, since we don't have that information, we can only say that Morgan has $\\boxed{\\$60}$ to spend on friends.", "answer": {"result": 60}}, "matches": false} +{"solution": {"solution": "Marisa gets $5 as pocket money every day, so in 5 days, she will have 5 * 5 = $25.\n\nShe buys 4 lollipops worth 25 cents each, so for 5 days, she will spend 4 * 4 * 25 = $400 cents.\n\nSince there are 100 cents in a dollar, $400 cents is equal to 400/100 = $4.\n\nTherefore, Marisa saves 25 - 4 = $25 - $4 = $21 in her piggy bank in 5 days. \n\n#### 21\nThe answer is: 21", "answer": {"result": 21}}, "matches": false} +{"solution": {"solution": "1. **Calculate the total cost of gumballs**: \n Billy bought 40 gumballs at $0.05 each.\n \\[\n \\text{Cost of gumballs} = 40 \\times 0.05 = 2 \\, \\text{dollars}\n \\]\n\n2. **Determine remaining money after buying gumballs**:\n Billy started with $10 and spent $2 on gumballs.\n \\[\n \\text{Remaining money} = 10 - 2 = 8 \\, \\text{dollars}\n \\]\n\n3. **Calculate the amount Billy had before buying gumballs**:\n Billy took half of his remaining money to buy gumballs, so the initial amount before buying gumballs was double that.\n \\[\n \\text{Initial amount before gumballs} = 8 \\times 2 = 16 \\, \\text{dollars}\n \\]\n\n4. **Calculate the amount spent on candy**:\n Billy spent $16 initially, and he spent $2 on gumballs.\n \\[\n \\text{Amount spent on candy} = 16 - 2 = 14 \\, \\text{dollars}\n \\]\n\n5. **Determine the number of pounds of candy Billy bought**:\n The candy cost $1.5 per pound.\n \\[\n \\text{Pounds of candy} = \\frac{14}{1.5} = \\frac{140}{15} = 9.3333\\ldots\n \\]\n \n Since Billy can only buy whole pounds of candy, we round down to the nearest whole number.\n \\[\n \\text{Pounds of candy} = 9 \\, \\text{pounds}\n \\]\n\n### Conclusion:\nBilly bought $\\boxed{9}$ pounds of candy.", "answer": {"result": 9}}, "matches": false} +{"solution": {"solution": "Twice the age of Carver's son is 45 + 5 = 50 years old.\n\nTo find his son's age, we divide this number by 2:\n$$ \\frac{50}{2} = 25 $$\n\nHis son is $\\boxed{25}$ years old.\n\nConclusion:\nThe calculation correctly follows the problem's conditions, and the solution is unique and consistent with the given information.", "answer": {"result": 25}}, "matches": true} +{"solution": {"solution": "The train travels 75 miles from the first city to the second city, 100 miles from the second city to the third city, and 50 miles less than that combined distance to go from the third city to the first city. \n\nThe combined distance from the second city to the third city and from the third city back to the first city is 75 + 100 = 175 miles. \n\nSince it goes 50 miles less than the combined distance from the third city to the first city, it travels 175 - 50 = 125 miles from the third city back to the first city. \n\nTherefore, the train travels a total of 75 + 100 + 125 = 300 miles for one round trip. \n\nThe train does this trip 3 times a day, so it travels a total of 300 * 3 = 900 miles per day. \n\nThe train needs service every 18,000 miles, so to find out how many days it goes between services, we divide 18,000 by 900. \n\n18,000 / 900 = 20 days. \n\nTherefore, the train goes between services every 20 days. \n\n#### 20\nThe answer is: 20", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "First, let's find the average amount of stuffing needed for a collie bed. The average is the sum of the amounts for Rottweiler and Chihuahua beds divided by 2.\n\nAverage stuffing for collie bed = (Stuffing for Rottweiler bed + Stuffing for Chihuahua bed) / 2\nAverage stuffing for collie bed = (8 pounds + 2 pounds) / 2\nAverage stuffing for collie bed = 10 pounds / 2\nAverage stuffing for collie bed = 5 pounds\n\nNow, let's calculate the total amount of stuffing needed for the chihuahua beds:\n\nStuffing for 4 chihuahua beds = 4 * Stuffing for one Chihuahua bed\nStuffing for 4 chihuahua beds = 4 * 2 pounds\nStuffing for 4 chihuahua beds = 8 pounds\n\nNext, let's calculate the total amount of stuffing needed for the collie beds:\n\nStuffing for 3 collie beds = 3 * Stuffing for one collie bed\nStuffing for 3 collie beds = 3 * 5 pounds\nStuffing for 3 collie beds = 15 pounds\n\nFinally, let's add the stuffing needed for the chihuahua and collie beds to find the total amount of stuffing required:\n\nTotal stuffing needed = Stuffing for chihuahua beds + Stuffing for collie beds\nTotal stuffing needed = 8 pounds + 15 pounds\nTotal stuffing needed = 23 pounds\n\nMark needs $\\boxed{23}$ pounds of stuffing to make 4 chihuahua beds and 3 collie beds.", "answer": {"result": 23}}, "matches": true} +{"solution": {"solution": "First, let's calculate the time it took John to drive the initial 200 miles at a speed of 70 mph.\n\nTime = Distance / Speed\nTime = 200 miles / 70 mph\nTime = 2.857 hours (rounded to four decimal places)\n\nNext, we add the 10 miles detour to the initial distance, making it 210 miles.\n\nTime for detour = 10 miles / 70 mph\nTime for detour = 0.1429 hours (rounded to four decimal places)\n\nNow, let's add the time for the detour to the initial time:\n\nTotal time = Initial time + Time for detour\nTotal time = 2.857 hours + 0.1429 hours\nTotal time = 3.000 hours (rounded to four decimal places)\n\nNow, let's calculate the time it took John to drive the return trip of 240 miles at a speed of 80 mph.\n\nTime for return trip = 240 miles / 80 mph\nTime for return trip = 3 hours\n\nFinally, let's add the time for the return trip to the total time for the detour:\n\nTotal trip time = Total time for detour + Time for return trip\nTotal trip time = 3.000 hours + 3 hours\nTotal trip time = 6 hours\n\nSo, the entire trip took John $\\boxed{6}$ hours.", "answer": {"result": 6}}, "matches": true} +{"solution": {"solution": "There are a total of 96 fourth-graders at Small Tree School.\nOut of these, 43 are girls.\nSo, the number of boys is 96 - 43 = 53.\nOn Friday, 5 fourth-grade girls and 4 fourth-grade boys were absent.\nTherefore, the number of boys present on Friday is 53 - 4 = 49.\n#### 49\nThe answer is: 49", "answer": {"result": 49}}, "matches": true} +{"solution": {"solution": "If there are 6 girls in the park and twice the number of boys, then there are 6 x 2 = 12 boys in the park. \n\nTo find the total number of kids in the park, we add the number of girls and boys together:\n\n6 girls + 12 boys = 18 kids\n\nSo, there are $\\boxed{18}$ kids in the park.", "answer": {"result": 18}}, "matches": true} +{"solution": {"solution": "To determine the minimum score Jane needs on her third test to pass, we first need to calculate the total score she needs from all three tests.\n\n1. Jane\u2019s total score needs to be at least 42 points.\n2. The scores from her first two tests are 15 points and 18 points. \n\nAdding these scores gives:\n\\[ 15 + 18 = 33 \\]\n\n3. To find the minimum score needed for the third test, subtract the total of the first two test scores from the required minimum total:\n\\[ 42 - 33 = 9 \\]\n\nThus, the minimum number of points Jane must score on her third test to pass is:\n\\[ \\boxed{9} \\]", "answer": {"result": 9}}, "matches": true} +{"solution": {"solution": "3 customers were kicked out for not wearing masks, so there were 3 x 4 - 5 = 9 shoplifters kicked out.\nThree times the number of shoplifters were kicked out for physical violence, so there were 9 x 3 = 27 people kicked out for violence.\nIn total, 3 + 9 + 27 = 39 people were kicked out for not wearing masks, shoplifting, and physical violence.\nIf there were 50 people kicked out in total, then 50 - 39 = 11 people were kicked out for other reasons.\n#### 11\nThe answer is: 11", "answer": {"result": 11}}, "matches": false} +{"solution": {"solution": "\nErin has 14 points and Sara has 8 points. \nErin now has three times more points than Sara, so Erin has 3 * 8 = 24 points more than Sara.\nTherefore, Erin had 14 - 24 = -10 points before.\nSince you can't have a negative number of points, Erin must have had 0 points before.\n#### 0\nThe answer is: 0", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "44 seniors need picture frames that cost $20 each, so the total cost of the picture frames is 44 * $20 = $880.\n\nEach picture frame needs to be etched with a logo, which adds an additional 20% cost per frame. The cost to etch one frame is 20% of $20, which is 0.20 * $20 = $4.\n\nThe additional cost for etching all 44 picture frames is 44 * $4 = $176.\n\nThe total cost for the picture frames with etching is $880 + $176 = $1056.\n\n2 seniors will receive pins that cost $5 each, so the total cost for the pins is 2 * $5 = $10.\n\n1/4 of the seniors are officers, which is 1/4 * 44 = 11 seniors.\n\nEach officer will receive a cord that costs $12, so the total cost for the cords is 11 * $12 = $132.\n\nThe total cost for the senior gifts is the sum of the costs for the picture frames, pins, and cords: $1056 + $10 + $132 = $1208.\n\nTherefore, $1208 will be spent on the senior gifts.\n\nThe final answer is $1208.", "answer": {"result": 1208}}, "matches": false} +{"solution": {"solution": "If Ethan made his own hand-painted wallpaper, he would save 20% on the cost. \n\nThe original cost of the hand-painted wallpaper is $400. \n\nTo find the savings, we calculate 20% of $400:\n\n20% of $400 = (20/100) * $400 = $80\n\nSo, Ethan would save $80 by making his own wallpaper.\n\nNow, to find the total cost after the savings, we subtract the savings from the original cost:\n\n$400 - $80 = $320\n\nTherefore, the total cost for Ethan to make his own hand-painted wallpaper would be $\\boxed{\\$320}$ .", "answer": {"result": 320}}, "matches": true} +{"solution": {"solution": "First, let's calculate the number of shoes sold on Friday:\n\nFriday: 14 pairs\n\nNext day (Saturday): double the number sold on Friday:\n\nSaturday: 14 pairs * 2 = 28 pairs\n\nOn the last day of the sale (Sunday): half the number sold on Saturday:\n\nSunday: 28 pairs / 2 = 14 pairs\n\nHowever, six pairs were returned on Sunday:\n\nSunday (adjusted): 14 pairs - 6 pairs = 8 pairs\n\nNow, let's add up the total number of shoes sold over the weekend:\n\nTotal shoes sold = Friday + Saturday + Sunday (adjusted)\nTotal shoes sold = 14 pairs + 28 pairs + 8 pairs\nTotal shoes sold = 50 pairs\n\nSo, by the end of the sale, the shoe store sold a total of $\\boxed{50}$ pairs of tennis shoes.The answer is: 50", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "Hallie had dance practice for 1 hour on Tuesdays and 2 hours on Thursdays. \n\nOn Saturdays, her dance practice lasted twice as long as Tuesday's night class, so it was 1 hour * 2 = 2 hours.\n\nTo find the total hours of dance practice per week, we add up the hours from each day:\n\nTuesday: 1 hour\nThursday: 2 hours\nSaturday: 2 hours\n\nTotal hours = 1 + 2 + 2 = 5 hours\n\nHallie had $\\boxed{5}$ hours of dance practice per week.", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "First, let's find out how many pieces of equipment were faulty. \n\n40% of $400000 worth of equipment is faulty, so:\n\n0.40 * $400000 = $160000 worth of equipment is faulty.\n\nSince the total cost is $400000, the cost of the functioning equipment is:\n\n$400000 - $160000 = $240000.\n\nSo, the company spent a total of $\\$240000$ on functioning pieces of equipment.", "answer": {"result": 240000}}, "matches": true} +{"solution": {"solution": "Mary has 30 sheep, and she divides them into two equal groups of 15 sheep each. \n\nFrom the first group of 15 sheep, she gets 1 kg of milk per sheep, so that's 15 sheep * 1 kg/sheep = 15 kg of milk.\n\nFrom the second group of 15 sheep, she gets 2 kg of milk per sheep, so that's 15 sheep * 2 kg/sheep = 30 kg of milk.\n\nTherefore, Mary collects a total of 15 kg + 30 kg = $\\boxed{45}$ kg of milk every day.", "answer": {"result": 45}}, "matches": true} +{"solution": {"solution": "A dozen is equal to 12, so Mrs. Sherman made 12 bread rolls. \nShe fed 6 of her children with one roll each, so there are 12 - 6 = 6 rolls remaining. \nShe broke each of the remaining rolls into 8 pieces, so she fed the chickens a total of 6 * 8 = 48 pieces of rolls. \n#### 48\nThe answer is: 48", "answer": {"result": 48}}, "matches": true} +{"solution": {"solution": "Half of the class likes blue, so there are 40/2 = 20 pupils who like blue.\nThe remaining pupils are 40 - 20 = 20 pupils.\nOne-fourth of the remaining likes green, so there are 20/4 = 5 pupils who like green.\nThe rest of the pupils, which is 20 - 5 = 15 pupils, like yellow.\nTherefore, 15 pupils like the color yellow.\n#### 15\nThe answer is: 15", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "\nOn Monday, Lucy sold all the apples picked, and she earned $56 from selling those. Since each apple is sold for $4, we can divide the total earnings by the price per apple to find out how many apples she sold on Monday. \n\n\\[ \\text{Number of apples sold on Monday} = \\frac{\\$56}{\\$4} = 14 \\]\n\nOn Tuesday, Lucy picked 12 apples. \n\nOn Wednesday, she picked double the number of apples she did on Tuesday. \n\n\\[ \\text{Number of apples picked on Wednesday} = 12 \\times 2 = 24 \\]\n\nTo find the total number of apples picked over the three days, we add the apples picked on Monday, Tuesday, and Wednesday.\n\n\\[ \\text{Total number of apples picked} = 14 + 12 + 24 = 50 \\]\n\nThus, Lucy picked a total of $\\boxed{50}$ apples over the three days.\n\nAnswer: 50", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "First, let's determine how many socks are in the 10 pairs of socks. Since a pair consists of 2 socks, we have:\n10 pairs * 2 socks per pair = 20 socks\n\nNext, we add the 15 loose socks to the total:\n20 socks (from pairs) + 15 loose socks = 35 socks\n\nFinally, we subtract the total number of socks she has washed from the total number of socks that need washing to find out how many she has missed:\n50 socks (total to wash) - 35 socks (washed) = 15 socks\n\nLindsay has missed $\\boxed{15}$ socks.", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "Rachel initially had 23 cookies. After Janet gave her 42 cookies, she had 23 + 42 = 65 cookies. \n\nThen, her brother ate 44 cookies. To find out how many cookies Rachel has left, we subtract the number of cookies her brother ate from the total number of cookies she had:\n\n65 - 44 = 21 cookies.\n\nSo, Rachel has $\\boxed{21}$ cookies left.", "answer": {"result": 21}}, "matches": true} +{"solution": {"solution": "To find out how much Karan has to pay per month, we first need to calculate the total interest she will pay over the five-month period. \n\nThe formula for simple interest is:\n\n\\[ \\text{Interest} = \\text{Principal} \\times \\text{Rate} \\times \\text{Time} \\]\n\nGiven:\n- Principal (P) = $3,650\n- Rate (R) = 10% or 0.10 as a decimal\n- Time (T) = 5 months\n\nFirst, calculate the total interest:\n\n\\[ \\text{Interest} = 3650 \\times 0.10 \\times 5 \\]\n\\[ \\text{Interest} = 3650 \\times 0.5 \\]\n\\[ \\text{Interest} = 1825 \\]\n\nNow, add the total interest to the principal to find the total amount to be paid back:\n\n\\[ \\text{Total Amount} = \\text{Principal} + \\text{Interest} \\]\n\\[ \\text{Total Amount} = 3650 + 1825 \\]\n\\[ \\text{Total Amount} = 5475 \\]\n\nSince Karan has to pay an equal amount every month for five months, we divide the total amount by the number of months:\n\n\\[ \\text{Monthly Payment} = \\frac{\\text{Total Amount}}{\\text{Number of Months}} \\]\n\\[ \\text{Monthly Payment} = \\frac{5475}{5} \\]\n\\[ \\text{Monthly Payment} = 1095 \\]\n\nKaran has to pay $\\boxed{1095}$ every month.\n\nConclusion:\nThe monthly payment Karan has to make is 1095 dollars.", "answer": {"result": 1095}}, "matches": false} +{"solution": {"solution": "\nCho hiked 14 kilometers per hour for 8 hours, so he hiked 14 km/h * 8 h = 112 kilometers.\nChloe hiked 9 kilometers per hour for 5 hours, so she hiked 9 km/h * 5 h = 45 kilometers.\nCho hiked 112 kilometers - 45 kilometers = 67 kilometers farther than Chloe.\n#### 67\nThe answer is: 67", "answer": {"result": 67}}, "matches": true} +{"solution": {"solution": "\n\nAxel has 50 silver pesos and Anna has twice as many, so Anna has 2 * 50 = 100 silver pesos. \n\nAxel has 80 gold pesos and Anna has 40 more, so Anna has 80 + 40 = 120 gold pesos. \n\nTogether, Axel and Anna have 50 + 100 = 150 silver pesos. \n\nTogether, Axel and Anna have 80 + 120 = 200 gold pesos. \n\nTherefore, Axel and Anna have 150 + 200 = 350 pesos in total. \n\n#### 350\nThe answer is: 350", "answer": {"result": 350}}, "matches": true} +{"solution": {"solution": "\nTo calculate Millie's profit per hour, we follow these steps:\n\n1. **Calculate the total number of cups of lemonade**:\n - Millie has 3 pitchers, each holding 12 cups, so the total number of cups is $3 \\times 12 = 36$ cups.\n\n2. **Determine the total revenue from selling all the lemonade**:\n - She sells each cup for $1, and she has 36 cups, so her total revenue is $36 \\times 1 = \\$36$.\n\n3. **Calculate the number of hours Millie's stand is open**:\n - Millie sells an average of 4 cups per hour. To find out how many hours it takes to sell all 36 cups, we divide the total number of cups by the number of cups sold per hour: $36 / 4 = 9$ hours.\n\n4. **Compute the profit per hour**:\n - To find the profit per hour, we subtract the initial cost of supplies from the total revenue, and then divide by the number of hours the stand is open. The initial cost is $18, and the total revenue is $36, so the profit is $36 - 18 = \\$18$.\n - Millie spends 9 hours running her stand, so her profit per hour is $18 / 9 = \\$2$.\n\nTherefore, Millie's profit per hour that she spends running the lemonade stand is $\\boxed{\\$2}$.\n\nAnswer: 2", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "If Mr. Ruther sold 3/5 of his land and had 12.8 hectares left, we can find out the total amount of land he had initially by considering the 12.8 hectares as 2/5 of the total land (since 3/5 was sold).\n\nLet's denote the total amount of land Mr. Ruther had at first as T.\n\nAccording to the problem, 3/5 of his land was sold, so he was left with 2/5 of his land.\n\nThe equation representing this situation is:\n\n2/5 * T = 12.8 hectares\n\nTo find the total amount of land T, we can solve for T:\n\nT = 12.8 hectares / (2/5)\n\nTo divide by a fraction, we multiply by its reciprocal:\n\nT = 12.8 hectares * (5/2)\n\nT = 64 hectares\n\nSo, Mr. Ruther had $\\boxed{64}$ hectares of land at first.", "answer": {"result": 64}}, "matches": false} +{"solution": {"solution": "\nFirst, let's find out how many girls are in the choir. Since 50% of the 52 members are girls, we calculate:\n\n50% of 52 = 0.50 * 52 = 26 girls\n\nSince half of the girls can't make it to the show, we calculate:\n\n50% of 26 = 0.50 * 26 = 13 girls unable to perform\n\nThis means that 13 girls will be performing:\n\n26 - 13 = 13 girls\n\nThe choir's 3 teachers will also be singing, so we add them to the number of girls performing:\n\n13 girls + 3 teachers = 16 people\n\nTherefore, $\\boxed{16}$ people sang in the performance.\n\nAnswer: 16", "answer": {"result": 16}}, "matches": true} +{"solution": {"solution": "To find Wilson's current math grade, we need to calculate the average of his 5 test scores. \n\nThe sum of his test scores is: 65 + 94 + 81 + 86 + 74 = 400\n\nSince there are 5 test scores, we divide the sum by 5 to find the average:\n\n400 / 5 = 80\n\nWilson's current math grade is $\\boxed{80}$ .", "answer": {"result": 80}}, "matches": true} +{"solution": {"solution": "To find the total cost of 6 erasers and 8 pencils, we first calculate the cost of each item separately and then add them together.\n\n1. Calculate the cost of 6 erasers:\n - Each eraser costs $2.\n - So, the cost of 6 erasers is $2 \\times 6 = $12.\n\n2. Calculate the cost of 8 pencils:\n - Each pencil costs $3.\n - So, the cost of 8 pencils is $3 \\times 8 = $24.\n\n3. Add the costs of the erasers and pencils to find the total cost:\n - Total cost = cost of erasers + cost of pencils\n - Total cost = $12 + $24 = $36.\n\nTherefore, the total cost of 6 erasers and 8 pencils is $\\boxed{$36}$.", "answer": {"result": 36}}, "matches": true} +{"solution": {"solution": "If James delivers 66 messages to Ms. Thompson, then he delivers 1/3 * 66 = 22 messages to Mr. Yu.\n\nThe total number of messages James delivers is the sum of the messages to Ms. Thompson and Mr. Yu, which is 66 + 22 = $\\boxed{88}$ messages.The answer is: 88", "answer": {"result": 88}}, "matches": true} +{"solution": {"solution": "First, let's calculate the cost of buying 9 ride tickets for Dasha. Since each ticket costs $2, the total cost for Dasha would be:\n\n9 rides * $2/ride = $18\n\nNow, let's look at what David is spending with the ride bracelet. The bracelet costs $30 and gives him 9 rides. To find out how much David saves compared to Dasha, we subtract the cost of the bracelet from the cost of 9 tickets:\n\n$30 (bracelet cost) - $18 (9 tickets) = $12\n\nDavid saves $\\boxed{\\$12}$ by buying the ride bracelet instead of buying 9 individual tickets.", "answer": {"result": 12}}, "matches": false} +{"solution": {"solution": "Monica has 6 gifts for her family, 4 gifts for her friends, and 2 gifts for her teachers, which adds up to 6 + 4 + 2 = 12 gifts in total. \n\nShe wants to make a bow for each gift, so she will use ribbon for 12 bows. \n\nShe has 144 inches of ribbon in total. \n\nTo find out how many inches of ribbon she can use for each bow, we divide the total inches of ribbon by the number of bows: \n\n144 inches / 12 bows = 12 inches per bow. \n\nSo, Monica can use $\\boxed{12}$ inches of ribbon for each gift bow.", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "To find the difference in the number of popsicles between Sam and Betty, we first need to determine how many popsicles each person has based on the given ratio.\n\n1. The ratio of popsicles is 5:6, which means for every 5 popsicles Betty has, Sam has 6.\n2. The total parts in the ratio are 5 (for Betty) + 6 (for Sam) = 11 parts.\n3. The total number of popsicles is 165, so each part is 165 / 11 = 15 popsicles.\n4. Betty has 5 parts, so she has 5 * 15 = 75 popsicles.\n5. Sam has 6 parts, so he has 6 * 15 = 90 popsicles.\n6. The difference in the number of popsicles between Sam and Betty is 90 - 75 = 15.\n\nTherefore, Sam has $15$ more popsicles than Betty.\n\nAnswer: \\boxed{15}", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "First, let's calculate the cost of the streaming services without the bundle discount:\n\nNetflix: $10\nHulu: $10\nDisney Plus: $10\n\nTotal without bundle discount: $10 + $10 + $10 = $30\n\nNow, let's calculate the bundle discount for Hulu and Disney Plus:\n\n20% of $10 for Hulu: 0.20 * $10 = $2\n20% of $10 for Disney Plus: 0.20 * $10 = $2\n\nSo the total discount for the bundle is $2 + $2 = $4\n\nNow, let's calculate the cost of the streaming services with the bundle discount:\n\nTotal with bundle discount: $30 - $4 = $26\n\nFinally, let's calculate the savings by comparing the cost of the streaming services to the cost of the cable package:\n\nSavings: $60 (cable package) - $26 (streaming services) = $34\n\nTim saves $\\boxed{\\$34}$ by cancelling his cable package and getting streaming services instead.", "answer": {"result": 34}}, "matches": true} +{"solution": {"solution": "\nFirst, let's convert all the times to minutes to make it easier to calculate:\n\n- Writing: 4 hours = 4 * 60 = 240 minutes\n- Recording: Half of writing time = 240 / 2 = 120 minutes\n- Editing: 90 minutes\n\nNow, let's calculate the total time spent on all activities:\n\nTotal time = Writing time + Recording time + Editing time\nTotal time = 240 + 120 + 90\nTotal time = 450 minutes\n\nNext, let's calculate the percentage of time spent editing:\n\nPercentage spent editing = (Editing time / Total time) * 100\nPercentage spent editing = (90 / 450) * 100\nPercentage spent editing = 0.2 * 100\nPercentage spent editing = 20%\n\nCarol spent $\\boxed{20\\%}$ of her total work time editing the song.The answer is: 20", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "\nFirst, we need to find double the number of books. Since there are 6 rows and 6 columns, there are 36 spots. Double the number of books is 36 books.\n\nNext, we need to add 20 more books to that. So, 36 + 20 = 56 books.\n\nTherefore, Wendy will need to carry 56 books to complete her task. \n\n#### 56\nThe answer is: 56", "answer": {"result": 56}}, "matches": false} +{"solution": {"solution": "Erica made 20 Valentine's cards and her dad brought her 2 boxes with 15 cards each, so she had a total of 20 + (2 * 15) = 20 + 30 = 50 Valentine's cards. \n\nShe passed out 24 cards to classmates and 5 cards to her family, so she gave away a total of 24 + 5 = 29 cards. \n\nShe received 17 cards from family and friends. \n\nTo find out how many Valentine's cards Erica has now, we subtract the cards she gave away from the total she had and add the cards she received:\n\n50 (total cards) - 29 (cards given away) + 17 (cards received) = 50 - 29 + 17 = 38.\n\nErica now has $\\boxed{38}$ Valentine's cards.", "answer": {"result": 38}}, "matches": true} +{"solution": {"solution": "1. Determine the fraction of the pizza given to each person and Jenny:\n - Bill gets \\( \\frac{1}{3} \\) of the pizza.\n - Mark gets \\( \\frac{1}{4} \\) of the pizza.\n - Jenny initially gets the remaining fraction \\( 1 - \\frac{1}{3} - \\frac{1}{4} \\).\n\n2. Calculate Jenny's share:\n \\[\n \\frac{1}{3} + \\frac{1}{4} = \\frac{4}{12} + \\frac{3}{12} = \\frac{7}{12}\n \\]\n Therefore, Jenny gets:\n \\[\n 1 - \\frac{7}{12} = \\frac{12}{12} - \\frac{7}{12} = \\frac{5}{12}\n \\]\n\n3. Calculate the slices Jenny eats:\n - Jenny eats 2 slices out of her share of \\(\\frac{5}{12}\\).\n - The fraction of her share that corresponds to 2 slices is:\n \\[\n \\frac{2}{\\frac{5}{12}} = 2 \\times \\frac{12}{5} = \\frac{24}{5} = 4.8\n \\]\n\n4. Determine the number of slices left after Jenny's consumption:\n - Total slices: 12.\n - After giving slices to Bill and Mark: \\(\\frac{7}{12}\\) of 12 is \\( 7 \\) slices.\n - Slices left before Jenny eats: 12 - 7 = 5 slices.\n - After Jenny eats 2 slices:\n \\[\n 5 - 2 = 3 \\text{ slices}\n \\]\n\nConclusion:\n\\[\n\\boxed{3}\n\\]", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "Mark earns $10 per day, so to save $300, he needs to save for 300 / 10 = 30 days.\nMark currently has $50 in his bank account, so he needs to save an additional 300 - 50 = $250.\nSince Mark earns $10 per day, he needs to save for 250 / 10 = 25 more days.\nTherefore, Mark needs to save for a total of 30 + 25 = 55 days to buy the bike.\n#### 55\nThe answer is: 55", "answer": {"result": 55}}, "matches": false} +{"solution": {"solution": "First, let's find out how many millipedes there are. Since there are 1/3rd as many millipedes as spiders, we can calculate the number of millipedes by taking 1/3 of the number of spiders:\n\nNumber of millipedes = 1/3 * Number of spiders\nNumber of millipedes = 1/3 * 90\nNumber of millipedes = 30\n\nNext, let's find out how many stink bugs there are. The number of stink bugs is equal to twice the number of millipedes minus 12:\n\nNumber of stink bugs = 2 * Number of millipedes - 12\nNumber of stink bugs = 2 * 30 - 12\nNumber of stink bugs = 60 - 12\nNumber of stink bugs = 48\n\nNow, let's find the total number of bugs Nancy counted:\n\nTotal number of bugs = Number of spiders + Number of millipedes + Number of stink bugs\nTotal number of bugs = 90 + 30 + 48\nTotal number of bugs = 168\n\nNancy counted a total of $\\boxed{168}$ bugs.", "answer": {"result": 168}}, "matches": true} +{"solution": {"solution": "To solve this problem, we start by understanding the relationships between the ages of Alice, Beth, and Erica. \n\n1. We are given that Erica is 30 years old.\n2. Beth is 5 years older than Erica. Therefore, Beth's age can be calculated as:\n \\[\n \\text{Beth's age} = 30 + 5 = 35 \\text{ years}\n \\]\n3. Alice is 7 years older than Beth. Thus, Alice's age is:\n \\[\n \\text{Alice's age} = 35 + 7 = 42 \\text{ years}\n \\]\n4. To find the difference between Alice's and Erica's ages, we subtract Erica's age from Alice's age:\n \\[\n \\text{Difference in ages} = 42 - 30 = 12 \\text{ years}\n \\]\n\nTherefore, the difference in their ages is $\\boxed{12}$ years.", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "\nJohn drinks 2 glasses of milk, and each glass is 8 ounces, so he drinks 2 * 8 = 16 ounces of milk in total. \nSince milk has 3 calories per ounce, John consumed 16 * 3 = 48 calories from the milk.\n#### 48\nThe answer is: 48", "answer": {"result": 48}}, "matches": true} +{"solution": {"solution": "The builder works for 4 weeks every month, so he works for 4 weeks x 6 days = 24 days every month. \n\nIf he gets paid $50 every day, then he earns $50 x 24 days = $1200 every month. \n\nIf he works for a year, which is 12 months, then he earns $1200 x 12 months = $14400 for the year. \n\n#### 14400\nThe answer is: 14400", "answer": {"result": 14400}}, "matches": true} +{"solution": {"solution": "A quadruple batch means Mark needs 4 times the amount of each ingredient.\n\nFor flour:\n- The normal recipe requires 3 cups.\n- For a quadruple batch, he needs \\(3 \\times 4 = 12\\) cups of flour.\n\nGiven that flour is sold in 2-cup bags, the number of bags needed is:\n\\[ \\frac{12 \\text{ cups}}{2 \\text{ cups/bag}} = 6 \\text{ bags} \\]\n\nFor milk:\n- The normal recipe requires 1 cup.\n- For a quadruple batch, he needs \\(1 \\times 4 = 4\\) cups of milk.\n\nGiven that milk is sold in 2-cup bottles, the number of bottles needed is:\n\\[ \\frac{4 \\text{ cups}}{2 \\text{ cups/bottle}} = 2 \\text{ bottles} \\]\n\nTo find the difference in the number of bags of flour and bottles of milk, subtract the number of bottles from the number of bags:\n\\[ 6 \\text{ bags} - 2 \\text{ bottles} = 4 \\]\n\nThus, Mark has to buy \\(\\boxed{4}\\) more bags of flour than bottles of milk.The answer is: 4", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "1. First, calculate the daily energy consumption of the air conditioner:\n \\[\n 900 \\text{ watts} \\times 8 \\text{ hours} = 7200 \\text{ watt-hours}\n \\]\n\n2. Convert watt-hours to kilowatt-hours (1 kilowatt-hour = 1000 watt-hours):\n \\[\n 7200 \\text{ watt-hours} \\div 1000 = 7.2 \\text{ kilowatt-hours}\n \\]\n\n3. Calculate the new daily energy consumption after reducing usage by 5 hours:\n \\[\n 900 \\text{ watts} \\times 3 \\text{ hours} = 2700 \\text{ watt-hours}\n \\]\n\n4. Convert the new daily consumption to kilowatt-hours:\n \\[\n 2700 \\text{ watt-hours} \\div 1000 = 2.7 \\text{ kilowatt-hours}\n \\]\n\n5. Determine the energy saved per day:\n \\[\n 7.2 \\text{ kilowatt-hours} - 2.7 \\text{ kilowatt-hours} = 4.5 \\text{ kilowatt-hours}\n \\]\n\n6. Calculate the total savings over 30 days:\n \\[\n 4.5 \\text{ kilowatt-hours/day} \\times 30 \\text{ days} = 135 \\text{ kilowatt-hours}\n \\]\n\nThus, the total energy saved over 30 days is:\n\\[\n\\boxed{135 \\text{ kilowatt-hours}}\n\\]", "answer": {"result": 135}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total number of stripes on the two zebras with 17 stripes each:\n2 zebras * 17 stripes each = 34 stripes\n\nNext, let's find the number of stripes on the zebra with 36 stripes:\n1 zebra * 36 stripes = 36 stripes\n\nNow, let's find the number of stripes on the zebra with half as many stripes as the one with 36 stripes:\n36 stripes / 2 = 18 stripes\n\nFinally, let's calculate the total number of stripes and the average number of stripes per zebra:\nTotal stripes = 34 stripes + 36 stripes + 18 stripes = 88 stripes\n\nAverage number of stripes = Total stripes / Number of zebras\nAverage number of stripes = 88 stripes / 4 zebras = 22 stripes\n\nSo, the zebras have an average of $\\boxed{22}$ stripes.The answer is: 22", "answer": {"result": 22}}, "matches": true} +{"solution": {"solution": "To make enough sandwiches to serve 20 people, Tyson needs to make 20/4 = 5 sandwiches.\nEach sandwich requires 1 pound of meat and 1 pound of cheese, so he needs 5 pounds of meat and 5 pounds of cheese.\nThe meat costs $7.00 per pound, so he would spend 5 * $7.00 = $35.00 on the meat.\nThe cheese costs $3.00 per pound, so he would spend 5 * $3.00 = $15.00 on the cheese.\nTherefore, Tyson would spend $35.00 + $15.00 = $50.00 on the meat and cheese to make enough sandwiches to serve 20 people.\n#### 50\nThe answer is: 50", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "Allan bought 60 more cannolis, so he now has 40 + 60 = 100 cannolis.\n\nHe bought 40 fewer corns than the number of cannolis, so he bought 100 - 40 = 60 corns.\n\nHe already had twice as much corn as cannolis, so he had 40/2 = 20 corns before buying more.\n\nNow, he has 20 + 60 = 80 corns.\n\nThe combined total of the number of corns and cannolis is 80 + 100 = $\\boxed{180}$ .", "answer": {"result": 180}}, "matches": false} +{"solution": {"solution": "Elliott walks to and from school, which accounts for half of his daily step goal. Since his goal is 10,000 steps, half of that is:\n\\[ \\frac{10,000}{2} = 5,000 \\text{ steps} \\]\n\nHe also took a short walk with his friend, adding another 1,000 steps:\n\\[ 5,000 + 1,000 = 6,000 \\text{ steps} \\]\n\nAfter his jog, Elliott had 2,000 steps remaining. Therefore, the total steps he took during his jog can be calculated by subtracting the steps he had already taken (from school and the short walk) and the remaining steps from his total goal:\n\\[ 10,000 - 6,000 - 2,000 = 2,000 \\text{ steps} \\]\n\nThus, Elliott took $\\boxed{2,000}$ steps during his jog.", "answer": {"result": 2000}}, "matches": true} +{"solution": {"solution": "Toby has a book that is 45 pages long, and it averages 200 words per page, so the book is 45 * 200 = 9000 words long.\nToby can read at a rate of 300 words per minute, so it will take him 9000 / 300 = 30 minutes to finish reading the book.\nIt takes 10 minutes to get to the airport, so Toby will need a total of 30 + 10 = 40 minutes to finish reading the book and get to the airport.\nToby has 60 minutes to get to the airport, so he will be 60 - 40 = 20 minutes early.\n#### 20\nThe answer is: 20", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "In May, the company hired 40 employees. Assuming a 40-hour workweek, each employee would work 40 hours in a week. Therefore, for a month with approximately 4 weeks, each employee would work:\n\\[ 40 \\text{ hours/week} \\times 4 \\text{ weeks} = 160 \\text{ hours/month} \\]\n\nThe company pays each employee $15 per hour. Thus, the monthly salary for each employee is:\n\\[ 160 \\text{ hours} \\times \\$15/\\text{hour} = \\$2400 \\]\n\nFor 40 employees, the total monthly payment for May is:\n\\[ 40 \\text{ employees} \\times \\$2400/\\text{employee} = \\$96000 \\]\n\nIn June, 1/4 of the employees' contracts expired. This means:\n\\[ 40 \\text{ employees} \\times \\frac{1}{4} = 10 \\text{ employees} \\]\nleft their positions. The remaining employees who continued to work are:\n\\[ 40 \\text{ employees} - 10 \\text{ employees} = 30 \\text{ employees} \\]\n\nThe calculation for June follows the same hourly and weekly pattern as in May:\n\\[ 30 \\text{ employees} \\times \\$2400/\\text{employee} = \\$72000 \\]\n\nAdding the payments for May and June, the total amount paid to employees over the two months is:\n\\[ \\$96000 + \\$72000 = \\$168000 \\]\n\nThus, the total amount of money the company paid to the employees in the two months is:\n\\[ \\boxed{\\$168000} \\]", "answer": {"result": 168000}}, "matches": true} +{"solution": {"solution": "First, let's calculate the cost of the taffy. Sally bought 2 pounds of taffy, and the price was \"Buy 1 pound at $3, get 1 pound 1/2 off.\" This means she got one pound at full price and the second pound at half off.\n\nThe full-price pound of taffy costs $3. The half-off price for the second pound would be $3 / 2 = $1.50.\n\nSo, the total cost for the taffy is $3 (for the first pound) + $1.50 (for the second pound at half off) = $4.50.\n\nNext, let's calculate the cost of the magnets. She bought 4 magnets at $0.25 each, so the total cost for the magnets is 4 * $0.25 = $1.\n\nNow, let's add up all the costs:\n- Taffy: $4.50\n- Seashells: $1.50\n- Magnets: $1.00\n\nThe total cost is $4.50 + $1.50 + $1.00 = $7.00.\n\nSally started with $10, so to find out how much she has left, we subtract the total cost from the amount she started with:\n\n$10 - $7.00 = $3.00.\n\nSally has $\\boxed{\\$3.00}$ left.", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "\nFirst, let's calculate the cost of the two packages of fireworks. The first package costs $400. The second package costs twice that much, so it costs $400 * 2 = $800.\n\nNext, let's calculate the total cost of the two packages before the discount: $400 + $800 = $1200.\n\nNow, let's apply the 20% discount to the total cost of the two packages. A 20% discount means Tim gets to keep 80% of the total cost. So, $1200 * 0.8 = $960.\n\nFinally, let's add the cost of the finale firework to the discounted cost of the two packages: $960 + $150 = $1110.\n\nTherefore, Tim spent a total of $1110 on fireworks.\n\n#### 1110\nThe answer is: 1110", "answer": {"result": 1110}}, "matches": true} +{"solution": {"solution": "\nShannon eats 2 madeleine cookies a night, so she needs enough cookies for 2 * 30 = 60 nights.\nSince her recipe makes 1 dozen madeleine cookies, she will need 60 / 12 = 5 dozens of cookies.\n#### 5\nThe answer is: 5", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "To find out how many candles will both smell like wet dog and explode, we need to calculate the probability of both events happening.\n\nFirst, let's find out how many candles are more dangerous (5% of the total).\n\n5% of 50000 candles = 0.05 * 50000 = 2500 candles\n\nNow, out of these 2500 dangerous candles, 5% also have a defect that makes them smell like wet dog.\n\n5% of 2500 candles = 0.05 * 2500 = 125 candles\n\nSo, there will be $\\boxed{125}$ candles that are both more dangerous and smell like wet dog.", "answer": {"result": 125}}, "matches": false} +{"solution": {"solution": "The regular price for each blouse is $20, and the discount is 30% off. \nSo, each blouse is discounted by $20 x 0.30 = $6. \nThe discounted price for each blouse is $20 - $6 = $14. \nMisha picks out 4 blouses, so the total cost of the discounted blouses is $14 x 4 = $56. \n#### 56\nThe answer is: 56", "answer": {"result": 56}}, "matches": true} +{"solution": {"solution": "Let's denote the number of apples Joanne gathered from the average trees as \\( A \\).\n\nJoanne gathers:\n- 30 apples from the tallest trees\n- \\( \\frac{30}{2} = 15 \\) apples from the shortest trees\n- \\( A \\) apples from the average trees\n\nHer sister gathers:\n- Twice as many as Joanne from the tallest trees, so \\( 2 \\times 30 = 60 \\) apples\n- Three times as many as Joanne from the shortest trees, so \\( 3 \\times 15 = 45 \\) apples\n- 0 apples from the average trees\n\nThe total number of apples gathered by both is 500. So we can set up the following equation:\n\n\\[ 30 + 15 + A + 60 + 45 = 500 \\]\n\nCombining the constants:\n\n\\[ 150 + A = 500 \\]\n\nSubtract 150 from both sides to solve for \\( A \\):\n\n\\[ A = 500 - 150 \\]\n\\[ A = 350 \\]\n\nJoanne gathered $\\boxed{350}$ apples from the average trees.", "answer": {"result": 350}}, "matches": true} +{"solution": {"solution": "\n1. **Define Variables:**\n Let \\( x \\) be the number of dromedaries, and \\( 180 - x \\) be the number of camels in the herd.\n\n2. **Set Up the Equation:**\n - Dromedaries have one hump each.\n - Camels have two humps each.\n - The total number of humps is given as 304.\n\n This can be expressed as the equation:\n \\[\n x + 2(180 - x) = 304\n \\]\n\n3. **Simplify the Equation:**\n - Distribute the 2 in the equation:\n \\[\n x + 360 - 2x = 304\n \\]\n - Combine like terms:\n \\[\n 360 - x = 304\n \\]\n - Isolate \\( x \\):\n \\[\n 360 - 304 = x\n \\]\n \\[\n x = 56\n \\]\n\n4. **Conclusion:**\n The number of dromedaries in the herd is \\( x = 56 \\).\n\n\\[\n\\boxed{56}\n\\]\n\n---\n\n1. **Define Variables:**\n Let \\( x \\) be the number of camels, and \\( 180 - x \\) be the number of dromedaries in the herd.\n\n2. **Set Up the Equation:**\n - Dromedaries have one leg, and camels have four legs each.\n - The total number of legs is given as 604.\n\n This can be expressed as the equation:\n \\[\n 4x + 1(180 - x) = 604\n \\]\n\n3. **Simplify the Equation:**\n - Distribute the constants in the equation:\n \\[\n 4x + 180 - x = 604\n \\]\n - Combine like terms:\n \\[\n 3x + 180 = 604\n \\]\n - Isolate \\( x \\):\n \\[\n 3x = 604 - 180\n \\]\n \\[\n 3x = 424\n \\]\n \\[\n x = \\frac{424}{3}\n \\]\n \\[\n x = 141.333...\n \\]\n\n Since \\( x \\) must be a whole number, this calculation indicates a need for re-evaluation.\n\n4. **Reevaluate:**\n The equation setup might have a flaw. Let's reconsider the distribution of legs.\n\n - Correctly set up for the distribution:\n \\[\n 4x + (180 - x) = 604\n \\]\n \\[\n 3x + 180 = 604\n \\]\n \\[\n 3x = 604 - 180\n \\]\n \\[\n 3x = 424\n \\]\n \\[\n x = \\frac{424}{3} = 141.333...\n \\]\n This result indicates a mistake in setup.\n\n5. **Correct Setup:**\n - The correct setup should be:\n \\[\n 4x + (180 - x) = 604\n \\]\n \\[\n 3x + 180 = 604\n \\]\n \\[\n 3x = 604 - 180\n \\]\n \\[\n 3x = 424\n \\]\n \\[\n x = \\frac{424}{3} \\not\\in \\mathbb{Z}\n \\]\n - We need to recheck the problem statement for errors.\n\n6. **Conclusion:**\n Given the inconsistency, let's recalculate with correct formulation:\n - Correctly re-evaluated, let's assume the setup was correct but calculation error:\n \\[\n 4x + 180 - x = 604\n \\]\n \\[\n 3x + 180 = 604\n \\]\n \\[\n 3x = 604 - 180\n \\]\n \\[\n 3x = 424\n \\]\n \\[\n x = \\frac{424}{3}\n \\]\n \\[\n x = 141.333...\n \\]\n - Rechecking shows an error in problem statement or setup.\n\n7. **Final Answer (verifying final numbers):**\n - Upon re-evaluation, correct formulation:\n \\[\n 4x + (180 - x) = 604\n \\]\n \\[\n 3x + 180 = 604\n \\]\n \\[\n 3x = 424\n \\]\n \\[\n x = 141.333...\n \\]\n - Hence, \\( x \\) should be a whole number, indicating an oversight in problem formulation or calculation.\n\n\\[\n\\boxed{141}\n\\]", "answer": {"result": 56}}, "matches": true} +{"solution": {"solution": "\n1. **Calculate total distance for the first four days:**\n - Tom traveled 200 kilometers per day for the first 4 days.\n - Total distance for the first 4 days is:\n \\[\n 4 \\text{ days} \\times 200 \\text{ km/day} = 800 \\text{ km}\n \\]\n\n2. **Calculate total distance for the next two days:**\n - He traveled 30% of the distance traveled in the first 4 days.\n - Distance in the next two days:\n \\[\n 0.30 \\times 800 \\text{ km} = 240 \\text{ km}\n \\]\n\n3. **Calculate total distance for the first 6 days:**\n - Sum the distances from steps 1 and 2:\n \\[\n 800 \\text{ km} + 240 \\text{ km} = 1040 \\text{ km}\n \\]\n\n4. **Calculate total distance for the remaining days:**\n - Tom traveled 300 kilometers per day for the remaining 5 days (7 days total - 6 days already calculated).\n - Total distance for the remaining 5 days is:\n \\[\n 5 \\text{ days} \\times 300 \\text{ km/day} = 1500 \\text{ km}\n \\]\n\n5. **Calculate the total distance for the two-week trip:**\n - Sum the distances from steps 3 and 4:\n \\[\n 1040 \\text{ km} + 1500 \\text{ km} = 2540 \\text{ km}\n \\]\n\n6. **Convert the total distance to miles (optional):**\n - Given that 1 mile is approximately 1.60934 kilometers:\n \\[\n 2540 \\text{ km} \\times 1 \\text{ mile/1.60934 km} \\approx 1580.78 \\text{ miles}\n \\]\n\nConclusion:\n\\[\n\\boxed{2540 \\text{ km}}\n\\]", "answer": {"result": 2540}}, "matches": false} +{"solution": {"solution": "Peter's locker is 1/4 as big as Zack's locker, so if Peter's locker is 5 cubic inches, then Zack's locker is 5 * 4 = 20 cubic inches.\n\nZack's locker is half as big as Timothy's locker, so if Zack's locker is 20 cubic inches, then Timothy's locker is 20 * 2 = 40 cubic inches.\n\nTherefore, Timothy's locker is 40 cubic inches.\n\nThe answer is 40", "answer": {"result": 40}}, "matches": true} +{"solution": {"solution": "To find out how many feet Oliver must climb to reach the elevation of Stanley's comb, we subtract the elevation of Stanley's brother from the elevation of the comb.\n\nStanley's comb is at an elevation of 10,000 feet, and Stanley's brother, Oliver, is at an elevation of 3,000 feet.\n\nSo, the calculation is: $10,000 - 3,000 = 7,000$ feet.\n\nTherefore, Oliver must climb $\\boxed{7000}$ feet to reach the elevation of Stanley's comb.The answer is: 7000", "answer": {"result": 7000}}, "matches": false} +{"solution": {"solution": "To solve the problem, we start by understanding the total amount Mr. Josue received from the two banks. He received $4000 from the first bank and twice that amount from the second bank. \n\n1. The amount from the first bank is $4000.\n2. The amount from the second bank is twice the amount from the first bank, which is $2 \\times 4000 = $8000.\n\nNext, we calculate the total amount Mr. Josue received from both banks:\n\n\\[4000 + 8000 = 12000\\]\n\nNow, we add this total to his initial capital:\n\n\\[12000 + 5000 = 17000\\]\n\nTherefore, Mr. Josue now has $\\boxed{17000}$ in capital.", "answer": {"result": 17000}}, "matches": true} +{"solution": {"solution": "\n1. Initially, there were 50 cats on the rock.\n2. Four boats came and picked up 5 cats each. The total number of cats picked up by the boats is:\n \\[\n 4 \\text{ boats} \\times 5 \\text{ cats/boat} = 20 \\text{ cats}\n \\]\n3. After the boats left, the number of cats remaining on the rock is:\n \\[\n 50 \\text{ cats} - 20 \\text{ cats} = 30 \\text{ cats}\n \\]\n4. Later, \\(3/5\\) of the remaining 30 cats chased a mouse. The number of cats that chased the mouse is:\n \\[\n \\frac{3}{5} \\times 30 = 18 \\text{ cats}\n \\]\n5. The number of cats that did not chase the mouse is:\n \\[\n 30 \\text{ cats} - 18 \\text{ cats} = 12 \\text{ cats}\n \\]\n6. Therefore, the total number of cats remaining on the rock after the cats chased the mouse is:\n \\[\n 12 \\text{ cats}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{12}\n\\]", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "To calculate the total cost for 2 years of the streaming service, we break down the costs into three periods:\n\n1. **First 6 months at $8 a month**:\n - The cost for this period is calculated as:\n \\[\n 6 \\times 8 = \\$48\n \\]\n\n2. **Next 8 months at $12 a month**:\n - For this period, the cost is:\n \\[\n 8 \\times 12 = \\$96\n \\]\n\n3. **Remaining months at $14 a month**:\n - Since the total duration of the service is 2 years, or 24 months, after accounting for the first 14 months, we have:\n \\[\n 24 - 14 = 10 \\text{ months}\n \\]\n - The cost for these 10 months is:\n \\[\n 10 \\times 14 = \\$140\n \\]\n\n4. **Total cost for 2 years**:\n - Adding up the costs from all periods gives us:\n \\[\n \\$48 + \\$96 + \\$140 = \\$284\n \\]\n\nTherefore, the total cost for 2 years of the service is $\\boxed{\\$284}$.", "answer": {"result": 284}}, "matches": true} +{"solution": {"solution": "Let's denote the original price of the jogger jeans as J. According to the information given, the jogger jeans cost $6 less than the tattered jeans, so we can express this as:\n\nJ = $28 - $6\nJ = $22\n\nNow, we know that Cole saved $6 in total from both pairs of jeans. Since he saved 1/3 of the savings from the jogger jeans and the rest from the tattered jeans, we can set up the following equation:\n\n1/3 * J + (Savings from tattered jeans) = $6\n\nWe know that the tattered jeans were on sale, so let's denote the sale price of the tattered jeans as T. We also know that Cole saved the remaining amount from the tattered jeans after the sale. Since he saved 1/3 of the savings from the jogger jeans, the remaining savings from the tattered jeans must be 2/3 of the savings from the jogger jeans.\n\nSo, we can express the savings from the tattered jeans as:\n\nSavings from tattered jeans = 2/3 * (Original price - Sale price)\n\nWe also know that the total savings from both pairs of jeans is $6, so:\n\n2/3 * (Original price - Sale price) + 1/3 * J = $6\n\nNow we can substitute J with $22:\n\n2/3 * (Original price - Sale price) + 1/3 * $22 = $6\n\nLet's solve for the original price of the tattered jeans (let's call it P):\n\n2/3 * (P - $28) + 1/3 * $22 = $6\n\nNow, let's multiply through by 3 to get rid of the fractions:\n\n2 * (P - $28) + $22 = $18\n\nExpanding the equation:\n\n2P - $56 + $22 = $18\n\nNow, let's combine like terms:\n\n2P - $34 = $18\n\nAdd $34 to both sides to isolate 2P:\n\n2P = $52\n\nNow, divide by 2 to solve for P:\n\nP = $52 / 2\nP = $26\n\nSo, the original price of the tattered jeans was $26. Since the jogger jeans were originally $22 and the tattered jeans were originally $26, the difference in their original prices is:\n\n$26 - $22 = $4\n\nThe jogger jeans originally cost $\\boxed{\\$4}$ more than the tattered jeans.", "answer": {"result": 4}}, "matches": false} +{"solution": {"solution": "To find out the total number of employees that can join the day trip, we need to calculate the capacity of each type of vehicle and then sum them up. \n\nFor the buses:\n4 buses * 60 employees per bus = 240 employees\n\nFor the minibusses:\n6 minibusses * 30 employees per minibus = 180 employees\n\nFor the minivans:\n10 minivans * 15 employees per minivan = 150 employees\n\nNow, we add up the capacities of all the vehicles:\n240 employees (from buses) + 180 employees (from minibusses) + 150 employees (from minivans) = 570 employees\n\nTherefore, the total number of employees that can join the day trip is $\\boxed{570}$ .", "answer": {"result": 570}}, "matches": true} +{"solution": {"solution": "Lillian built 3 bird feeders and bought 3 others, so she has a total of 3 + 3 = 6 bird feeders.\n\nThe store-bought bird feeders attract 20 birds each, so 3 of them would attract 20 * 3 = 60 birds.\n\nThe bird feeders Lillian built attract 10 more birds each than the store-bought ones, so they attract 20 + 10 = 30 birds each.\n\n3 of Lillian's homemade bird feeders would attract 30 * 3 = 90 birds.\n\nIn total, Lillian can expect to see 60 + 90 = $\\boxed{150}$ birds in her garden each day.", "answer": {"result": 150}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the price of the soup:**\n - The soup costs 25% more than the bagel.\n - The price of the bagel is given as $4.\n - Calculate the additional cost of the soup:\n \\[\n \\text{Additional cost} = 4 \\times \\frac{25}{100} = 4 \\times 0.25 = 1\n \\]\n - Therefore, the total cost of the soup is:\n \\[\n \\text{Cost of soup} = 4 + 1 = 5\n \\]\n\n2. **Determine the price of the cake:**\n - The cake costs half the price of the bagel.\n - The price of the bagel is $4.\n - Calculate the price of the cake:\n \\[\n \\text{Price of cake} = 4 \\times \\frac{1}{2} = 4 \\times 0.5 = 2\n \\]\n\n3. **Calculate the total cost of the dinner:**\n - Add the costs of the bagel, soup, and cake:\n \\[\n \\text{Total cost} = 4 + 5 + 2 = 11\n \\]\n\n### Conclusion:\n\\[\n\\boxed{11}\n\\]", "answer": {"result": 11}}, "matches": true} +{"solution": {"solution": "\nKenny sells his Pokemon cards for $1.5 each, and he keeps 1/3 of them. Let's denote the total number of cards he started with as C. \n\nHe sells 2/3 of his cards, so he sells (2/3)C cards. \n\nThe amount of money he gets from selling these cards is (2/3)C * $1.5 = $100 - $50 = $50. \n\nNow we can set up the equation:\n\n(2/3)C * $1.5 = $50\n\nTo find C, we can solve for it:\n\n(2/3)C = $50 / $1.5\n\nC = ($50 / $1.5) * (3/2)\n\nC = $33.33 * 3/2\n\nC = $50\n\nKenny started with $\\boxed{50}$ cards.", "answer": {"result": 50}}, "matches": false} +{"solution": {"solution": "\nIf half of the 36 guests were to eat two hotdogs, that would be 36/2 = 18 guests.\nSo, the caterer prepared enough hotdogs for 18 guests to have two hotdogs each, which is 18 x 2 = 36 hotdogs.\n\nSince 40 guests showed up and everyone wanted a second hotdog, there were 40 guests x 2 hotdogs = 80 hotdogs needed in total.\n\nThe caterer only prepared 36 hotdogs, which means there were 80 - 36 = 44 hotdogs missing to satisfy everyone's second hotdog request.\n\nSince each of the 40 guests wanted a second hotdog, 40 guests x 1 hotdog = 40 hotdogs were needed just to satisfy the second hotdog requests for all guests.\n\nTherefore, the number of guests who did not get a second hotdog is 44 - 40 = 4 guests.\n\nThe final answer is $\\boxed{4}$ guests did not get a second hotdog.", "answer": {"result": 4}}, "matches": false} +{"solution": {"solution": "Half of the letters in Indras' name is 6/2 = 3 letters.\nHer sister's name has 4 more letters than half, so her sister's name has 3 + 4 = 7 letters.\n\nIndras' name has 6 letters and her sister's name has 7 letters, so together they have 6 + 7 = 13 letters.\n\n#### 13\nThe answer is: 13", "answer": {"result": 13}}, "matches": true} +{"solution": {"solution": "Charlotte wants to buy a set of pot and pans for $120.00, a set of mixing bowls for $20.00, and 5 separate utensils at $5.00 each. \n\nFirst, let's calculate the total cost of the pot and pans, the mixing bowls, and the utensils:\n- Pot and pans: $120.00\n- Mixing bowls: $20.00\n- Utenils: 5 x $5.00 = $25.00\n\nNow, let's add up these costs to find the total before the discount:\nTotal before discount = $120.00 + $20.00 + $25.00 = $165.00\n\nThe clerk tells Charlotte that everything is 20% off. To find the discount amount, we calculate 20% of $165.00:\nDiscount = 20% of $165.00 = 0.20 x $165.00 = $33.00\n\nNow, let's subtract the discount from the total before discount to find the final cost:\nFinal cost = Total before discount - Discount\nFinal cost = $165.00 - $33.00 = $132.00\n\nCharlotte's order, after the 20% discount, is $\\boxed{\\$132.00}$ .", "answer": {"result": 132.0}}, "matches": true} +{"solution": {"solution": "Dora wants to buy a skipping rope that costs $6, a board game that costs $11, and a playground ball that costs $2. The total cost of these items is:\n\n$6 (skipping rope) + $11 (board game) + $2 (playground ball) = $19\n\nDora has saved $2 from her allowance and received $16 from her mother. Together, this totals:\n\n$2 (Dora's savings) + $16 (mother's contribution) = $18\n\nTo find out how much more money Dora needs, subtract the amount she has from the total cost:\n\n$19 (total cost) - $18 (amount she has) = $1\n\nDora needs $\\boxed{\\$1}$ more to buy the skipping rope, the game, and the ball.", "answer": {"result": 1}}, "matches": true} +{"solution": {"solution": "First, let's find out how many dragons Prince Arthur slew. Since he slew three quarters as many dragons as Prince Thaddeus, we calculate:\n\nDragons slain by Prince Arthur = 3/4 * Dragons slain by Prince Thaddeus\n= 3/4 * 100\n= 75 dragons\n\nNext, we determine how many dragons Prince Walter slew. Since he slew twice as many dragons as Prince Arthur, we calculate:\n\nDragons slain by Prince Walter = 2 * Dragons slain by Prince Arthur\n= 2 * 75\n= 150 dragons\n\nFinally, we find out how many dragons Prince Bruce slew. Since he slew one-fifth as many dragons as Prince Walter using a nail file, we calculate:\n\nDragons slain by Prince Bruce = 1/5 * Dragons slain by Prince Walter\n= 1/5 * 150\n= 30 dragons\n\nTherefore, Prince Bruce slew $\\boxed{30}$ dragons.The answer is: 30", "answer": {"result": 30}}, "matches": true} +{"solution": {"solution": "1. First, we find out how much gasoline is in one container. Since there are 15 gallons of gasoline and it is divided equally into 5 containers, each container holds:\n \\[\n \\frac{15 \\text{ gallons}}{5} = 3 \\text{ gallons per container}\n \\]\n\n2. Next, we determine how much gasoline Josey needs. She needs \\(\\frac{1}{4}\\) of one container:\n \\[\n \\frac{1}{4} \\times 3 \\text{ gallons} = \\frac{3}{4} \\text{ gallon}\n \\]\n\n3. Finally, we convert the gallons to pints. We know that there are 8 pints in 1 gallon. Therefore, the amount in pints is:\n \\[\n \\frac{3}{4} \\text{ gallon} \\times 8 \\text{ pints/gallon} = 6 \\text{ pints}\n \\]\n\nThus, Josey needs \\(\\boxed{6}\\) pints of gasoline.\n\nConclusion:\nJosey requires 6 pints of gasoline for her lawnmower.\nThe answer is: 6", "answer": {"result": 6}}, "matches": true} +{"solution": {"solution": "Let's calculate the total cost of the 3 bags of chips that George bought. Each bag of chips costs 40 cents, so 3 bags would cost 3 * 40 cents = 120 cents. \n\nGeorge spent $5, which is equivalent to 500 cents. If he had 1% of his money left, that means he spent 99% of his money. \n\nTo find out how much 99% of $5 is, we calculate 99% of 500 cents:\n99% of 500 cents = 0.99 * 500 cents = 495 cents.\n\nThis means George spent 495 cents, and we've already calculated that 120 cents of that was spent on chips. So, the remaining amount spent on candy bars is:\n495 cents - 120 cents = 375 cents.\n\nEach candy bar costs 75 cents, so to find out how many candy bars George bought, we divide the total amount spent on candy bars by the cost of one candy bar:\n375 cents / 75 cents/candy bar = 5 candy bars.\n\nGeorge bought $\\boxed{5}$ candy bars.", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "Ray kept 5 lollipops, so he had 25 - 5 = 20 lollipops left to share.\nHe shared these 20 lollipops equally with his four friends, so each friend received 20 / 4 = 5 lollipops.\n#### 5\nThe answer is: 5", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "If Rory and her mom each have a piece, then there are 8 - 2 = 6 pieces remaining.\nSince the cake weighs 20 ounces and is cut into 8 pieces, each piece weighs 20/8 = 2.5 ounces.\nTherefore, the remaining 6 pieces weigh 6 * 2.5 = 15 ounces.\n#### 15\nThe answer is: 15", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "Sitti and Juris have a total of 34 + 22 = 56 oranges. \nIf they share these oranges equally with their 6 other friends, there will be a total of 6 + 6 + 2 = 14 people sharing the oranges. \nTo find out how many oranges each person will get, we divide the total number of oranges by the number of people: 56 / 14 = 4 oranges. \nSo, everyone will get 4 oranges. \n#### 4\nThe answer is: 4", "answer": {"result": 4}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total cost of the onions. Antoine wants to double the recipe, so he needs 4 pounds of onions. Since the onions are on sale for $2.00 a pound, the cost of the onions will be:\n\n4 pounds * $2.00/pound = $8.00\n\nNext, let's calculate the total cost of the beef stock. Antoine needs 2 boxes, and each box is on sale for $2.00, so the cost of the beef stock will be:\n\n2 boxes * $2.00/box = $4.00\n\nNow, let's add the cost of the onions and the beef stock to find the total cost:\n\nTotal cost = Cost of onions + Cost of beef stock\nTotal cost = $8.00 + $4.00\nTotal cost = $12.00\n\nFinally, let's calculate the cost per serving. Antoine's soup serves 6 people, so:\n\nCost per serving = Total cost / Number of servings\nCost per serving = $12.00 / 6\nCost per serving = $2.00\n\nSo, the cost per serving is $\\boxed{2}$ dollars.", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "If it takes Wayne 4 minutes to be driven to the theater, and Bernadette's drive takes four times as long, then Bernadette's drive takes 4 * 4 = 16 minutes.\n\nBernadette wants to arrive 5 minutes before Wayne, so she should leave 5 minutes earlier than the time it takes Wayne to be driven to the theater. \n\nSince Wayne takes 4 minutes to be driven, Bernadette should leave 4 - 5 = -1 minute early. However, it's not possible to leave 1 minute before the time it takes to get to the theater. \n\nThis means Bernadette actually has to leave 5 minutes after Wayne to arrive 5 minutes before him. Therefore, Bernadette should leave 5 minutes after Wayne to arrive 5 minutes earlier. \n\nThe answer is: Bernadette should leave 5 minutes later than Wayne.", "answer": {"result": 5}}, "matches": false} +{"solution": {"solution": "First, convert the length of the room from yards to feet. Since 1 yard equals 3 feet, a length of 3 yards is equal to \\( 3 \\times 3 = 9 \\) feet.\n\nLet the width of the room be \\( w \\) feet. The area of a rectangle is given by the formula:\n\\[ \\text{Area} = \\text{length} \\times \\text{width} \\]\n\nGiven the area is 360 square feet, and the length is 9 feet, we can set up the equation:\n\\[ 360 = 9 \\times w \\]\n\nSolving for \\( w \\), we divide both sides by 9:\n\\[ w = \\frac{360}{9} = 40 \\text{ feet} \\]\n\nNow, the perimeter \\( P \\) of a rectangle is calculated using:\n\\[ P = 2 \\times (\\text{length} + \\text{width}) \\]\n\nSubstitute the values of length and width:\n\\[ P = 2 \\times (9 + 40) = 2 \\times 49 = 98 \\text{ feet} \\]\n\nThus, the perimeter of Billie's bedroom is \\( \\boxed{98 \\text{ feet}} \\).", "answer": {"result": 98}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the number of beads each sister bought**:\n - Elizabeth bought 1 pack of red beads and 2 packs of clear beads.\n - Margareth bought 3 packs of blue beads and 4 packs of red beads.\n - Each pack contains 20 beads.\n\n2. **Calculate the total number of beads Elizabeth has**:\n - Number of red beads Elizabeth bought: \\(1 \\times 20 = 20\\)\n - Number of clear beads Elizabeth bought: \\(2 \\times 20 = 40\\)\n - Total number of beads Elizabeth has: \\(20 + 40 = 60\\)\n\n3. **Calculate the total number of beads Margareth has**:\n - Number of blue beads Margareth bought: \\(3 \\times 20 = 60\\)\n - Number of red beads Margareth bought: \\(4 \\times 20 = 80\\)\n - Total number of beads Margareth has: \\(60 + 80 = 140\\)\n\n4. **Find the difference between the total number of beads each sister has**:\n - Difference: \\(140 - 60 = 80\\)\n\n### Conclusion:\nMargareth has 80 more beads than Elizabeth.\n\n\\[\n\\boxed{80}\n\\]", "answer": {"result": 80}}, "matches": true} +{"solution": {"solution": "Marcus spends 3 hours baking, and every hour the oven is on it raises the house's temperature by 5 degrees. So, the oven raises the temperature by 3 * 5 = 15 degrees. \n\nAfter baking, the house is now at 40 + 15 = 55 degrees.\n\nMarcus then opens a window for 30 minutes, and the house cools down 2 degrees for every 10 minutes the window is open. So, for 30 minutes, the house cools down by 2 * (30 / 10) = 2 * 3 = 6 degrees.\n\nFinally, the house's final temperature is 55 - 6 = 49 degrees. \n\n#### 49\nThe answer is: 49", "answer": {"result": 49}}, "matches": true} +{"solution": {"solution": "First, let's find the times for Jon's triathlon events:\n- Swim: 40 minutes\n- Bike: 1 hour and 20 minutes = 80 minutes\n- Run: 50 minutes\n\nNow, let's calculate James's times for the swim and bike:\n- Swim: 40 minutes * (1 - 10%) = 40 * 0.9 = 36 minutes\n- Bike: 80 minutes + 5 minutes = 85 minutes\n\nNext, let's calculate the total times for both athletes:\n- Jon's total time = 40 + 80 + 50 = 170 minutes\n- James's total time = 36 + 85 + x (where x is the time for the run)\n\nSince Jon won by 10 minutes, we can set up the equation:\n170 - 10 = 36 + 85 + x\n160 = 121 + x\nx = 160 - 121\nx = 39 minutes\n\nSo, James took 39 minutes for the run.\n\nAnswer: It took James 39 minutes to do the run.\n\n# Answer\n\n39 minutes", "answer": {"result": 39}}, "matches": false} +{"solution": {"solution": "First, convert Movie C's length from hours to minutes:\n\\[ 1.25 \\text{ hours} \\times 60 \\text{ minutes/hour} = 75 \\text{ minutes} \\]\n\nNext, calculate the length of Movie B, which is 5 minutes longer than Movie C:\n\\[ 75 \\text{ minutes} + 5 \\text{ minutes} = 80 \\text{ minutes} \\]\n\nSince Movie A is one-fourth the length of Movie B, calculate Movie A's length:\n\\[ \\frac{80 \\text{ minutes}}{4} = 20 \\text{ minutes} \\]\n\nThus, Movie A is $\\boxed{20}$ minutes long.The answer is: 20", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "\n\nFirst, let's calculate how many miles the horse runs in 30 minutes at 32MPH. \n\nSince speed = distance/time, we can rearrange this to find distance = speed * time. \n\nThe horse runs for 30 minutes, which is 30/60 = 0.5 hours. \n\nDistance = 32MPH * 0.5 hours = 16 miles. \n\nSince the horse eats 1/2 a bail of hay for every mile it runs, for 16 miles, it will eat 16 * 1/2 = 8 bails of hay. \n\nEach bail of hay costs $3, so 8 bails will cost 8 * $3 = $24. \n\nMichael has six 5 dollar bills, so he has 6 * $5 = $30. \n\nAfter buying the hay, he will have $30 - $24 = $6 in change. \n\n#### 6\nThe answer is: 6", "answer": {"result": 6}}, "matches": true} +{"solution": {"solution": "First, let's find out the total number of eggs Rozanne has:\n\n4 dozen eggs = 4 x 12 = 48 eggs\n2 loose eggs = 2 eggs\n\nSo, the total number of eggs is:\n48 + 2 = 50 eggs\n\nNow, let's calculate how many glasses of eggnog she can make with this number of eggs:\n\nEach glass needs 5 eggs, so:\n50 eggs / 5 eggs per glass = 10 glasses\n\nSince each tray holds 5 glasses, we can find out how many trays she can put out by dividing the number of glasses by the number of glasses per tray:\n\n10 glasses / 5 glasses per tray = 2 trays\n\nRozanne can put out $\\boxed{2}$ trays of eggnog.", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "Initially, Joey has 214 points, and Marcy has 225 points. Joey scores an additional 26 points, so his new total becomes:\n\\[ 214 + 26 = 240 \\]\npoints.\n\nMarcy scores 10 points, updating her total to:\n\\[ 225 + 10 = 235 \\]\npoints.\n\nTo find out by how many points Joey is now winning, subtract Marcy's total from Joey's total:\n\\[ 240 - 235 = 5 \\]\n\nThus, Joey is winning by $\\boxed{5}$ points.The answer is: 5", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "The salesman bought a case of 48 sneakers for $576, so the cost of each sneaker is $576/48 = $12.\nHe sold 17 sneakers for $20 each on Monday, so he made 17 * $20 = $340 from those sales.\nHe sold the remaining 48 - 17 = 31 sneakers to the department store for $25 each, so he made 31 * $25 = $775 from those sales.\nIn total, he made $340 + $775 = $1115 from selling the sneakers.\nSince he bought the case for $576, his profit is $1115 - $576 = $539.\n#### 539\nThe answer is: 539", "answer": {"result": 539}}, "matches": true} +{"solution": {"solution": "Beatrice bought a total of 6 + 4 = 10 packets of crayons.\n\nFor the first 6 packets, each having 8 pieces of colors, she bought 6 * 8 = 48 colors.\n\nFor the other 4 packets, each having 16 pieces of colors, she bought 4 * 16 = 64 colors.\n\nIn total, Beatrice bought 48 + 64 = $\\boxed{112}$ pieces of colors.", "answer": {"result": 112}}, "matches": true} +{"solution": {"solution": "Let's denote the regular price of popcorn as P.\n\nIf you buy the super ticket for $20, you get a popcorn and a soda for an extra $1, making the total cost $20 + $1 = $21.\n\nIf you buy a regular movie ticket for $12 and popcorn and a soda at regular price, the total cost would be $12 + P (popcorn) + $3 (soda).\n\nAccording to the information given, you saved $2 by not buying the super ticket, so the cost of the regular ticket with popcorn and soda is $2 less than the super ticket. Therefore, the cost of the regular ticket with popcorn and soda is $21 - $2 = $19.\n\nNow we can set up the equation:\n\n$12 + P + $3 = $19\n\nCombining the cost of the movie ticket and the soda, we get:\n\n$15 + P = $19\n\nSubtracting $15 from both sides of the equation to solve for P (the regular price of popcorn), we get:\n\nP = $19 - $15\nP = $4\n\nSo, the regular price of popcorn is $\\boxed{\\$4}$ .", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "First, let's determine the original cost per balloon before the price increase.\n\nTotal cost for 20 balloons = $900\n\nCost per balloon = Total cost / Number of balloons\nCost per balloon = $900 / 20\nCost per balloon = $45\n\nNow, let's find out the new cost per balloon after the price increase.\n\nPrice increase per balloon = $20\nNew cost per balloon = Original cost per balloon + Price increase\nNew cost per balloon = $45 + $20\nNew cost per balloon = $65\n\nBentley wants to fill 170 balloons after the price increase.\n\nTotal cost for 170 balloons = New cost per balloon * Number of balloons\nTotal cost for 170 balloons = $65 * 170\nTotal cost for 170 balloons = $11050\n\nBentley paid $\\$11050$ to fill 170 balloons after the price increase.", "answer": {"result": 11050}}, "matches": true} +{"solution": {"solution": "To find the average speed, we need to find the total distance traveled and divide it by the total time taken.\n\nThe car drives 60 mph for 2 hours, so it travels:\n60 mph * 2 hours = 120 miles\n\nThe car then drives 30 mph for 1 hour, so it travels:\n30 mph * 1 hour = 30 miles\n\nThe total distance traveled is:\n120 miles + 30 miles = 150 miles\n\nThe total time taken is:\n2 hours + 1 hour = 3 hours\n\nNow, we can find the average speed:\nAverage speed = Total distance / Total time\nAverage speed = 150 miles / 3 hours\nAverage speed = 50 mph\n\nSo, the car's average speed during this trip is $\\boxed{50}$ mph.The answer is: 50", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "Jenna starts with 8 sapphires, which are worth $800 each, so the total value of her sapphires is 8 * $800 = $6400.\n\nShe trades 3 sapphires for two rubies. The value of the sapphires she trades is 3 * $800 = $2400.\n\nThe value of the two rubies she receives is 2 * $1200 = $2400.\n\nNow, Jenna has 8 - 3 = 5 sapphires left.\n\nThe total value of her remaining sapphires is 5 * $800 = $4000.\n\nThe total value of her rubies is $2400.\n\nAdding the value of her remaining sapphires and rubies together, we get $4000 + $2400 = $6400.\n\nTherefore, all her jewels are worth $6400.\n\n#### 6400\nThe answer is: 6400", "answer": {"result": 6400}}, "matches": true} +{"solution": {"solution": "Marin eats 4 apples a day, so in 30 days, he eats 4 * 30 = 120 apples.\nNancy also eats 4 apples a day, so in 30 days, she eats 4 * 30 = 120 apples.\nTogether, Marin and Nancy eat 120 + 120 = 240 apples in 30 days.\n#### 240\nThe answer is: 240", "answer": {"result": 240}}, "matches": false} +{"solution": {"solution": "First, we need to calculate the total volume of soil required for all the raised beds. \n\nEach raised bed has dimensions of 2 feet wide, 8 feet long, and 2 feet tall. The volume of one raised bed is:\n\nVolume of one bed = width \u00d7 length \u00d7 height\nVolume of one bed = 2 ft \u00d7 8 ft \u00d7 2 ft\nVolume of one bed = 32 cubic feet\n\nSince Bob has 10 raised beds, the total volume of soil needed is:\n\nTotal volume of soil = volume of one bed \u00d7 number of beds\nTotal volume of soil = 32 cubic feet \u00d7 10\nTotal volume of soil = 320 cubic feet\n\nEach bag of potting soil holds 2 cubic feet of soil, so the number of bags needed is:\n\nNumber of bags = total volume of soil / volume per bag\nNumber of bags = 320 cubic feet / 2 cubic feet per bag\nNumber of bags = 160 bags\n\nThe cost of one bag of potting soil is $12, so the total cost will be:\n\nTotal cost = number of bags \u00d7 cost per bag\nTotal cost = 160 bags \u00d7 $12 per bag\nTotal cost = $1920\n\nTherefore, the potting soil will cost Bob $\\boxed{\\$1920}$ .", "answer": {"result": 1920}}, "matches": true} +{"solution": {"solution": "1. Determine the number of green cards:\n - There are 15 red cards.\n - The green cards are 60% more than the red cards.\n - Calculate the additional green cards:\n \\[\n 60\\% \\text{ of } 15 = 0.60 \\times 15 = 9 \\text{ cards}\n \\]\n - Thus, the total number of green cards is:\n \\[\n 15 + 9 = 24 \\text{ green cards}\n \\]\n\n2. Determine the number of yellow cards:\n - The number of yellow cards equals the sum of red and green cards:\n \\[\n \\text{Yellow cards} = 15 + 24 = 39 \\text{ yellow cards}\n \\]\n\n3. Calculate the total number of cards:\n - Add the number of red, green, and yellow cards:\n \\[\n \\text{Total cards} = 15 \\text{ (red)} + 24 \\text{ (green)} + 39 \\text{ (yellow)} = 78 \\text{ cards}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{78}\n\\]", "answer": {"result": 78}}, "matches": true} +{"solution": {"solution": "Katelyn saw 50 fairies flying above the forest.\nAfter twenty minutes, her friend saw half as many fairies as Katelyn, so her friend saw 50/2 = 25 fairies.\nThe total number of fairies now is 50 + 25 = 75.\nAfter ten more minutes, 30 fairies flew away, so the remaining number of fairies is 75 - 30 = 45.\n#### 45\nThe answer is: 45", "answer": {"result": 45}}, "matches": true} +{"solution": {"solution": "Jennifer's dog has 8 puppies, 3 of which have spots.\nBrandon's dog has 12 puppies, 4 of which have spots.\nThe total number of puppies is 8 + 12 = 20.\nThe total number of puppies with spots is 3 + 4 = 7.\nTo find the percentage, we divide the number of puppies with spots by the total number of puppies and multiply by 100.\nSo, 7/20 * 100 = 35\nTherefore, 35% of all the puppies have spots.\nThe answer is: 35", "answer": {"result": 35}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total weight of each type of feed the farmer is buying:\n\n1. Sugar cubes: 2 boxes * 1 pound each = 2 pounds\n2. Carrots: 4 bags * 12 pounds each = 48 pounds\n3. Hay: 42 bales * 75 pounds each = 3150 pounds\n4. Oats: 20 sacks * 65 pounds each = 1300 pounds\n\nNow, let's add up the total weight of all the feed:\n\nTotal weight = 2 (sugar cubes) + 48 (carrots) + 3150 (hay) + 1300 (oats)\nTotal weight = 4592 pounds\n\nThe truck can carry 2250 pounds at a time. To find out how many trips the farmer needs to make, we divide the total weight by the truck's capacity:\n\nNumber of trips = Total weight / Truck capacity\nNumber of trips = 4592 pounds / 2250 pounds per trip\n\nSince 4592 is not evenly divisible by 2250, we need to round up to the next whole number to ensure all the feed is transported. So, the farmer will need to make:\n\nNumber of trips = 2 + 1 (remainder)\nNumber of trips = 3\n\nThe farmer will need to make $\\boxed{3}$ trips to transport all the feed.", "answer": {"result": 3}}, "matches": false} +{"solution": {"solution": "Grayson drinks three aluminum cans of soda per week, so in a four-week month, she drinks 3 cans/week * 4 weeks = 12 cans.\nAn aluminum can is worth two cents, so Grayson earns 12 cans * 2 cents/can = 24 cents from recycling aluminum cans in a month.\nGrayson also drinks five plastic bottles of water per week, so in a four-week month, she drinks 5 bottles/week * 4 weeks = 20 bottles.\nA plastic bottle is worth three cents, so Grayson earns 20 bottles * 3 cents/bottle = 60 cents from recycling plastic bottles in a month.\nIn total, Grayson earns 24 cents + 60 cents = 84 cents from recycling in a four-week month.\n#### 84\nThe answer is: 84", "answer": {"result": 84}}, "matches": true} +{"solution": {"solution": "If Frederick has 10 plants, then Toni has 60% more plants, which means Toni has 10 + (60/100) * 10 = 10 + 6 = 16 plants.\n\nSince Shondra has 7 fewer plants than Toni, Shondra has 16 - 7 = $\\boxed{9}$ plants.", "answer": {"result": 9}}, "matches": true} +{"solution": {"solution": "Leila gave Ali half of her $100, which is $100/2 = $50. \n\nSo, Ali now has $21 + $50 = $71. \n\n#### 71\nThe answer is: 71", "answer": {"result": 71}}, "matches": true} +{"solution": {"solution": "If Ashley's pizza delivery costs $15, and she wants to give a tip that is equal to 1/5 of the amount she ordered, then the tip amount would be 1/5 * $15 = $3.\n\nTo find the total amount Ashley should give the delivery man, we need to add the cost of the delivery and the tip.\n\nTotal amount = Cost of delivery + Tip\nTotal amount = $15 + $3\nTotal amount = $18\n\nSo, Ashley should give the delivery man a total of $18.\n\n#### 18\nThe answer is: 18", "answer": {"result": 18}}, "matches": true} +{"solution": {"solution": "Finley started in first place, so she initially had 1 position.\n\nShe fell back 5 spots, so she was in 1 - 5 = 6th place.\n\nShe moved ahead 2 spots, so she was in 6 + 2 = 8th place.\n\nShe then fell behind 3 spots, so she was in 8 + 3 = 11th place.\n\nLastly, she jumped ahead 1 spot to finish the race, so she was in 11 + 1 = 12th place.\n\nFinley finished the race in $\\boxed{12th}$ place.The answer is: 12", "answer": {"result": 12}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total number of basketball cards Miss Maria has:\n6 decks * 25 basketball cards per deck = 150 basketball cards\n\nNext, let's calculate the total number of baseball cards:\n5 boxes * 40 baseball cards per box = 200 baseball cards\n\nNow, let's find the total number of cards Miss Maria has before giving any to her students:\n150 basketball cards + 200 baseball cards = 350 cards\n\nSince she keeps 50 cards for herself, we subtract those from the total:\n350 cards - 50 cards = 300 cards\n\nNow, let's find out how many students she has by dividing the remaining cards by the number of cards each student receives (10 cards):\n300 cards / 10 cards per student = 30 students\n\nMiss Maria has $\\boxed{30}$ students.The answer is: 30", "answer": {"result": 30}}, "matches": true} +{"solution": {"solution": "First, let's calculate how much Becky paid for her apples. \n\nBecky bought 20 apples at 45 cents each, so without any discount, the total cost would be:\n20 apples * $0.45/apple = $9\n\nBut Becky received a $1 discount, so the total amount she paid is:\n$9 - $1 = $8\n\nNow, let's calculate how much Kelly paid for her apples.\n\nKelly bought 20 apples at 50 cents each, so without any discount, the total cost would be:\n20 apples * $0.50/apple = $10\n\nHowever, Kelly received a 10 percent discount. To find the discount amount, we calculate 10 percent of $10:\n10% of $10 = 0.10 * $10 = $1\n\nSo, the discount amount is $1, and the total amount Kelly paid is:\n$10 - $1 = $9\n\nNow, to find out how much more Kelly paid than Becky, we subtract the amount Becky paid from the amount Kelly paid:\n$9 (Kelly's total) - $8 (Becky's total) = $1\n\nKelly paid $\\boxed{\\$1}$ more than Becky.", "answer": {"result": 1}}, "matches": true} +{"solution": {"solution": "In each room, there are 2 sheets, so in 80 rooms, there are 80 * 2 = 160 sheets.\nThere are also 2 pillow cases for each sheet, so in 80 rooms, there are 160 * 2 = 320 pillow cases.\nAdditionally, there are twice as many towels as pillow cases, so in 80 rooms, there are 320 * 2 = 640 towels.\nIn total, each room has 2 sheets + 1 comforter + 2 pillow cases + 2 towels = 7 pieces of laundry.\nSo, in 80 rooms, there are 80 * 7 = 560 pieces of laundry.\n#### 560\nThe answer is: 560", "answer": {"result": 560}}, "matches": false} +{"solution": {"solution": "Frank starts with 200 shoes. \n\nOn Monday, he gets 5 pairs, so he adds 5 * 2 = 10 shoes. Now, he has 200 + 10 = 210 shoes. \n\nOn Wednesday, he gains 15 new pairs, so he adds 15 * 2 = 30 shoes. Now, he has 210 + 30 = 240 shoes. \n\nOn Friday, he gains 30 pairs, so he adds 30 * 2 = 60 shoes. Now, he has 240 + 60 = 300 shoes. \n\nOn Saturday, he gets rid of 180 shoes. So, he now has 300 - 180 = 120 shoes. \n\nTherefore, on Sunday, Frank will have 120 shoes. \n#### 120\nThe answer is: 120", "answer": {"result": 120}}, "matches": true} +{"solution": {"solution": "To solve this problem, we start by understanding that each jar of sprinkles can decorate 8 cupcakes. Mary has 6 jars, so the total number of cupcakes she can decorate is calculated by multiplying the number of jars by the number of cupcakes each jar can decorate:\n\n\\[6 \\text{ jars} \\times 8 \\text{ cupcakes/jar} = 48 \\text{ cupcakes}\\]\n\nNext, we need to determine how many pans worth of cupcakes this corresponds to, given that each pan holds 12 cupcakes. This is done by dividing the total number of cupcakes by the number of cupcakes each pan can hold:\n\n\\[48 \\text{ cupcakes} \\div 12 \\text{ cupcakes/pan} = 4 \\text{ pans}\\]\n\nTherefore, Mary should bake enough cupcakes to fill $\\boxed{4}$ pans worth of cupcakes.", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "Three times the price of the pen is $2 x 3 = $6. \n\nThe piece of paper cost $1 less than three times the price of the pen, so it cost $6 - $1 = $5. \n\nThe total cost of the pen and the paper is $2 + $5 = $7.\n\nTheo gave the cashier $10, so the change she received is $10 - $7 = $3. \n\n#### 3\nThe answer is: 3", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "\nFirst, let's find out how many pencils were used in the first two months. Since each student started with 10 pencils, there were a total of 30 x 10 = 300 pencils in the class.\n\nDuring the first two months, 1/5 of the total pencils were used, so 1/5 x 300 = 60 pencils were used.\n\nAfter two months, there were 300 - 60 = 240 pencils remaining.\n\nAt the end of the year, only 1/3 of the remaining pencils were left. So, 1/3 x 240 = 80 pencils were left.\n\nTherefore, there were 80 pencils left in Marissa's class at the end of the year.\n\n#### 80\nThe answer is: 80", "answer": {"result": 80}}, "matches": true} +{"solution": {"solution": "Let's break down the problem step by step:\n\n1. Matt wants to eat five cookies in total.\n2. He can have half as many cookies as the number of carrot sticks he eats, plus two extra for cleaning his room.\n\nLet's denote the number of carrot sticks Matt eats as $x$. According to the information given, Matt can eat $\\frac{1}{2}x + 2$ cookies.\n\nSince Matt wants to eat five cookies, we set up the equation:\n\\[\n\\frac{1}{2}x + 2 = 5\n\\]\n\nNow, we solve for $x$:\n\\[\n\\begin{align*}\n\\frac{1}{2}x + 2 &= 5 \\\\\n\\frac{1}{2}x &= 5 - 2 \\\\\n\\frac{1}{2}x &= 3 \\\\\nx &= 3 \\times 2 \\\\\nx &= 6\n\\end{align*}\n\\]\n\nTherefore, Matt has to eat $\\boxed{6}$ carrot sticks to satisfy both his desire for cookies and his dad's wish for him to eat healthily.", "answer": {"result": 6}}, "matches": true} +{"solution": {"solution": "First, let's convert the length of the remoras from inches to feet to match the shark's length unit. There are 12 inches in a foot. \n\nEach remora is 6 inches long. To convert this to feet:\n\\[ 6 \\text{ inches} = \\frac{6}{12} \\text{ feet} = 0.5 \\text{ feet} \\]\n\nSince there are two remoras, the total length of the remoras in feet is:\n\\[ 2 \\times 0.5 \\text{ feet} = 1 \\text{ foot} \\]\n\nThe shark's length is given as 10 feet. To find the percentage of the shark's length that the remoras occupy, we use the formula for percentage:\n\\[ \\text{Percentage} = \\left(\\frac{\\text{Length of remoras}}{\\text{Length of shark}}\\right) \\times 100\\% \\]\n\nPlugging in the values:\n\\[ \\text{Percentage} = \\left(\\frac{1 \\text{ foot}}{10 \\text{ feet}}\\right) \\times 100\\% = 0.1 \\times 100\\% = 10\\% \\]\n\nThus, the combined length of the remoras is $\\boxed{10\\%}$ of the shark's body length.", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "If three-fourths of the students have a desktop computer, then one-fourth do not have a desktop computer.\n\nLet $t$ represent the total number of students at that grade level.\n\nGiven that 20 students do not have a desktop computer, this represents one-fourth of the total number of students.\n\nWe can set up the equation:\n\\[\n\\frac{1}{4}t = 20\n\\]\n\nTo find $t$, multiply both sides by 4:\n\\[\nt = 20 \\times 4 = 80\n\\]\n\nThus, the total number of students at that grade level is $\\boxed{80}$.\n\nConclusion:\nThe calculation is straightforward using basic arithmetic. The problem makes sense and the final answer is unique.", "answer": {"result": 80}}, "matches": true} +{"solution": {"solution": "\n\nFirst, let's determine how many days Jason has to break in his new shoes. There are 7 days in a week, and he wants to do this for three weeks. \n\n7 days/week * 3 weeks = 21 days\n\nNow, we need to find out how many days he can actually walk in those three weeks. Since he can only walk 4 days a week, we'll multiply the total number of days by the number of walking days per week.\n\n21 days * 4 days/week = 84 walking days\n\nFinally, we'll divide the total number of minutes needed to break in the shoes by the number of walking days to find out how many minutes he needs to walk each day.\n\n240 minutes / 84 days \u2248 2.86 minutes/day\n\nSo, Jason needs to spend approximately 2.86 minutes walking each day to break in his new shoes in three weeks.\n\n2.86 minutes/day", "answer": {"result": 2.86}}, "matches": false} +{"solution": {"solution": "If each book costs $15 and Sarah spent $300, then she bought a total of $300 / $15 = 20 books. \n\nSince she gave an equal number of books to her 4 kids, each child received 20 books / 4 kids = $\\boxed{5}$ books.", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "First, let's find out how many kids are allergic to at least one of the two allergens (dairy or peanuts). According to the inclusion-exclusion principle, we add the number of kids allergic to dairy and peanuts, then subtract the number of kids allergic to both to avoid double-counting:\n\n- Dairy allergies: 9 kids\n- Peanut allergies: 6 kids\n- Both dairy and peanut allergies: 3 kids\n\nSo, the number of kids allergic to at least one of the two allergens is $9 + 6 - 3 = 12$ kids.\n\nNow, let's find out how many kids aren't allergic to anything:\n\n- Total kids in the class: 32\n- Kids allergic to at least one allergen: 12\n\nThe number of kids not allergic to anything is $32 - 12 = 20$ kids.\n\nTherefore, the number of kids who aren't allergic to dairy or peanuts is $20$.\n\n\n$20$\nThe answer is: 20", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "\nEach group has 200 employees and 7 tour guides, so there are a total of 200 + 7 = 207 people in each group.\nSince there are 3 groups, the total number of people going on the tour is 207 * 3 = 621.\n#### 621\nThe answer is: 621", "answer": {"result": 621}}, "matches": true} +{"solution": {"solution": "The normal price for the hotel is $1500 per day, so for 3 days it would be 3 * $1500 = $4500.\n\nThe hotel is 20% more expensive than normal, so the price for this weekend is 100% + 20% = 120% of the normal price.\n\nTo find the price for the 120% of the normal price, we calculate 120% of $4500: 120/100 * $4500 = $5400.\n\nThe plane tickets cost $5000 each, so for a round trip for two people, it would be 2 * $5000 = $10000.\n\nAdding the cost of the hotel and the plane tickets, the total cost of the trip is $5400 (hotel) + $10000 (plane tickets) = $15400. \n\nTherefore, the trip cost Tom $\\boxed{\\$15400}$ .", "answer": {"result": 15400}}, "matches": true} +{"solution": {"solution": "Ben has 4 tubes of blue paint and 3 tubes of yellow paint. \nJasper has half as many tubes of blue paint as Ben, so Jasper has 4/2 = 2 tubes of blue paint. \nJasper also has three times as many tubes of yellow paint as Ben, so Jasper has 3 x 3 = 9 tubes of yellow paint. \nIn total, Jasper has 2 tubes of blue paint + 9 tubes of yellow paint = 11 tubes of paint. \n\n#### 11\nThe answer is: 11", "answer": {"result": 11}}, "matches": true} +{"solution": {"solution": "If the 1959 penny weighs 48 grains, then the 2010 penny, being three-quarters of its weight, weighs \\(0.75 \\times 48 = 36\\) grains.\n\nTo find the combined weight of the two pennies, add their individual weights:\n\\[ 48 + 36 = 84 \\text{ grains} \\]\nThus, the combined weight of the two pennies is $\\boxed{84}$ grains.The answer is: 84", "answer": {"result": 84}}, "matches": true} +{"solution": {"solution": "Keegan earned $83 and Tasha earned $91, so together they earned $83 + $91 = $174.\n\nThey needed to raise $200, so they still needed to earn $200 - $174 = $26.\n\n#### 26\nThe answer is: 26", "answer": {"result": 26}}, "matches": true} +{"solution": {"solution": "Gabriel has 20 songs on his player, so he can add 100 - 20 = 80 more songs to his player.\n\nLuri has 3 times as many songs as Gabriel, so Luri has 3 * 20 = 60 songs on her player.\n\nLuri can add 100 - 60 = 40 more songs to her player.\n\nTherefore, Luri can add 80 - 40 = 40 fewer songs to her player than Gabriel can add to his.\n\n#### 40\nThe answer is: 40", "answer": {"result": 40}}, "matches": true} +{"solution": {"solution": "Stetson ate 2/5 of the oranges, which means he ate 2/5 * 60 = 24 oranges.\n\nFor each orange he eats, he gives up $10.\n\nSo, the total amount of money Stetson gave up is 24 oranges * $10/orange = $\\boxed{\\$240}$ .", "answer": {"result": 240}}, "matches": true} +{"solution": {"solution": "To find the cost of Jillian's handbag, we first calculate 3 times the cost of her shoes:\n\n\\[3 \\times \\$80 = \\$240\\]\n\nNext, we subtract the $20 difference to find the actual cost of the handbag:\n\n\\[\\$240 - \\$20 = \\$220\\]\n\nTherefore, Jillian's handbag cost $\\boxed{\\$220}$.", "answer": {"result": 220}}, "matches": true} +{"solution": {"solution": "James runs 12 miles a day for 5 days a week, so he runs a total of 12 * 5 = 60 miles in a week.\nIf he runs 10 miles an hour, then he runs for 60 / 10 = 6 hours in a week.\n#### 6\nThe answer is: 6", "answer": {"result": 6}}, "matches": true} +{"solution": {"solution": "Each horse consumes 5 pounds of oats per meal, and they eat twice a day, so each horse consumes 5 x 2 = 10 pounds of oats per day.\n\nFor five days, each horse will consume 10 x 5 = 50 pounds of oats.\n\nUncle Ben has four horses, so for five days, the total oats needed for all horses is 50 x 4 = 200 pounds.\n\nSince each bag contains 50 pounds of oats, Uncle Ben will need 200 / 50 = $\\boxed{4}$ bags of oats to feed his horses for five days.", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "First, let's find out how many of Jana's puppies are Pomeranians. Since two thirds of her puppies are Pomeranians, we calculate:\n\n\\[ \\frac{2}{3} \\times 27 = 18 \\, \\text{Pomeranians} \\]\n\nNext, we need to find out how many of these Pomeranians are girls. Since one third of the Pomeranians are girls, we calculate:\n\n\\[ \\frac{1}{3} \\times 18 = 6 \\, \\text{girl Pomeranians} \\]\n\nTherefore, Jana has $\\boxed{6}$ girl Pomeranians.\n\nConclusion:\nThe calculations are consistent with the problem statement and the hypothesis. The solution follows logically from the given information, and no contradictions are present in the problem setup or solution method. Thus, the answer is unique and accurate.", "answer": {"result": 6}}, "matches": true} +{"solution": {"solution": "To find the average highest temperature of the three countries, we need to sum the highest temperatures recorded in each country and then divide by the number of countries. \n\nThe highest temperature in Southlandia is -48 degrees Fahrenheit.\nThe highest temperature in Northlandia is 21 degrees Fahrenheit.\nThe highest temperature in Midlandia is -3 degrees Fahrenheit.\n\nFirst, we sum these temperatures:\n\n-48 (Southlandia) + 21 (Northlandia) + (-3) (Midlandia) = -48 + 21 - 3 = -30 degrees Fahrenheit.\n\nNext, we divide this sum by the number of countries, which is 3:\n\n-30 / 3 = -10 degrees Fahrenheit.\n\nTherefore, the average highest temperature of these three countries is $\\boxed{-10}$ degrees Fahrenheit.", "answer": {"result": -10}}, "matches": true} +{"solution": {"solution": "The child needs to save $12 - $4 = $8 more.\nHe plans to save $2 each day, so it will take him $8 / $2 = 4 days to save the remaining amount.\n#### 4\nThe answer is: 4", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "\n\nJaime wants to place 64 eggs on 2 trays, with each tray holding 24 eggs. \n\nFirst, we need to find out how many eggs one tray can hold:\n2 trays * 24 eggs per tray = 48 eggs\n\nSince there are 64 eggs in total, we can calculate how many eggs will be left after placing them on the trays:\n64 eggs - 48 eggs = 16 eggs\n\nSo, Jaime won't be able to place $\\boxed{16}$ eggs on the trays. \n\nAnswer: \\boxed{16}", "answer": {"result": 16}}, "matches": true} +{"solution": {"solution": "The cost of the small pizza is $8. \n\nThe cost of the family-size pizza is 3 times the cost of the small pizza, so it is 3 * $8 = $24. \n\nSally spends $8 on the small pizza and $24 on the family-size pizza. \n\nIn total, Sally spends $8 + $24 = $\\boxed{\\$32}$ . \n\nThe answer is: 32", "answer": {"result": 32}}, "matches": true} +{"solution": {"solution": "Heather is buying 2 packs of razors, so she will have 2 * 4 = 8 razors in total.\n\nThe packs are on sale for buy one get one free, so she is essentially paying for only 1 pack, even though she is getting 2.\n\nThe cost for 1 pack is $4.00.\n\nShe also has a $2.00 coupon, so the total cost for 1 pack after the coupon is applied is $4.00 - $2.00 = $2.00.\n\nSince she is buying 2 packs, the total cost after the coupon is applied is $2.00 * 2 = $4.00.\n\nNow, we need to find the cost per razor in cents.\n\nThere are 100 cents in a dollar, so $4.00 is 4 * 100 = 400 cents.\n\nThere are 8 razors in total, so the cost per razor is 400 cents / 8 razors = 50 cents per razor.\n\nTherefore, each individual razor will cost $\\boxed{50}$ cents after the discount.", "answer": {"result": 50}}, "matches": false} +{"solution": {"solution": "To solve this problem, we break it down into two parts: calculating the height of the bottom four girls and then calculating the height of the pyramid as a whole.\n\n1. **Height of the Bottom Four Girls:**\n - Since 9 out of 10 cheerleaders are 64 inches tall, the height of the bottom four girls can be calculated by multiplying the height of one of these girls by 4.\n - This gives us: $64 \\, \\text{in} \\times 4 = 256 \\, \\text{in}$.\n\n2. **Total Number of Girls in the Pyramid:**\n - The pyramid consists of 4 girls on the bottom, 3 standing on top of them, 2 on top of the 3, and the shortest girl at the top, making a total of $4 + 3 + 2 + 1 = 10$ girls.\n\n3. **Height of the Girls on Top:**\n - Above the bottom four, there are 6 girls. Given that 9 out of 10 cheerleaders are 64 inches tall, 6 of these girls are 64 inches tall, and the 10th girl is 60 inches tall.\n - The height of these 6 girls is $64 \\, \\text{in} \\times 6 = 384 \\, \\text{in}$.\n\n4. **Height of the Shortest Girl:**\n - The 10th girl, who is the shortest, is 60 inches tall.\n\n5. **Total Height of the Pyramid:**\n - To find the total height of the pyramid, we add the height of the bottom four girls to the height of the 6 taller girls and then add the height of the shortest girl on top.\n - This gives us: $256 \\, \\text{in} + 384 \\, \\text{in} + 60 \\, \\text{in} = 700 \\, \\text{in}$.\n\n6. **Conversion to Feet:**\n - Since there are 12 inches in a foot, we convert the total height from inches to feet by dividing by 12.\n - This calculation is: $700 \\, \\text{in} / 12 = 58.333... \\, \\text{ft}$.\n\nTherefore, the height of the human pyramid is $\\boxed{58.33 \\, \\text{ft}}$.", "answer": {"result": 58.33}}, "matches": false} +{"solution": {"solution": "Charisma works for 8 hours every day, so she takes 8 breaks of 5 minutes each day.\nTherefore, she walks for a total of 8 * 5 = 40 minutes each day.\nAfter 5 days at the office, she has walked for a total of 40 * 5 = 200 minutes.\n#### 200\nThe answer is: 200", "answer": {"result": 200}}, "matches": true} +{"solution": {"solution": "To solve the problem, let's break it down step by step:\n\n1. First, we determine Brett's age in four years. Since Brett is currently 14 years old, in four years, he will be:\n\\[14 + 4 = 18\\]\n\n2. Next, we understand that in four years, Angela's age will be three times what Brett's age will be in four years. Since Brett will be 18 years old in four years, Angela's age at that time will be:\n\\[3 \\times 18 = 54\\]\n\n3. To find Angela's current age, we subtract the four years that have passed until Angela reaches the age of 54:\n\\[54 - 4 = 50\\]\n\nTherefore, Angela's current age is $\\boxed{50}$ years old.", "answer": {"result": 50}}, "matches": false} +{"solution": {"solution": "To calculate the total cost for Paul's car rides over two weeks, we break down the problem into smaller, more manageable parts. \n\nFirst, let's determine the cost of Paul's morning and afternoon rides on a daily basis:\n- Morning rides cost $6 each.\n- Afternoon rides cost $2 each.\n\nGiven that Paul rides his car twice a day, we can calculate the daily total cost as follows:\n\\[ \\$6 (\\text{morning}) + \\$2 (\\text{afternoon}) = \\$8 \\text{ per day} \\]\n\nNext, to find out how much Paul spends in two weeks (14 days), we multiply the daily cost by the number of days:\n\\[ \\$8 \\times 14 = \\$112 \\]\n\nTherefore, the total amount of money Paul spent on driving his car for these two weeks is $\\boxed{\\$112}$.", "answer": {"result": 112}}, "matches": true} +{"solution": {"solution": "Ashley brought 5 boxes with 10 oranges each, so she has a total of 5 x 10 = 50 oranges.\nBrianne brought 20 more oranges than Ashley, so she has 50 + 20 = 70 oranges.\nTogether, Ashley and Brianne have 50 + 70 = 120 oranges.\nEach Greek orange pie requires 3 oranges, so they can make 120 / 3 = 40 pies.\n#### 40\nThe answer is: 40", "answer": {"result": 40}}, "matches": true} +{"solution": {"solution": "\nLet's assume that the number of guests is represented by the variable \\(x\\).\n\nFor the first venue, the cost is a flat fee of $200, plus $5 per person for food. So the total cost for the first venue is:\n\\[200 + 5x\\]\n\nFor the second venue, the cost is $25 per person, which includes food. So the total cost for the second venue is:\n\\[25x\\]\n\nTo find the number of guests necessary for the two venues to be equal in cost, we set the two expressions equal to each other and solve for \\(x\\):\n\\[200 + 5x = 25x\\]\n\nSubtracting \\(5x\\) from both sides gives us:\n\\[200 = 20x\\]\n\nDividing both sides by 20 gives us:\n\\[x = 10\\]\n\nSo, Mark needs 10 guests for the two venues to be equal in cost.\n\nHowever, we need to check that this number of guests results in the same total cost for both venues:\n\nFor the first venue:\n\\[200 + 5 \\cdot 10 = 200 + 50 = 250\\]\n\nFor the second venue:\n\\[25 \\cdot 10 = 250\\]\n\nSince both calculations result in the same total cost of $250, the answer is correct.\n\nThus, Mark needs $\\boxed{10}$ guests for the two venues to be equal in cost.The answer is: 10", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "Let's denote the number of insects found by David as D, by Bodhi as B, and by Lily as L.\n\nFrom the information given, we can write two equations:\n\n1. Lily found 7 more than David:\n L = D + 7\n\n2. David found half of what Bodhi found:\n D = 1/2 * B\n\nWe also know that together they collected 43 insects:\n L + D + B = 43\n\nNow we can substitute the first two equations into the third one:\n (D + 7) + D + B = 43\n\nCombine like terms:\n 2D + B + 7 = 43\n\nNow, substitute D with 1/2 * B from the second equation:\n 2(1/2 * B) + B + 7 = 43\n\nSimplify:\n B + B + 7 = 43\n\nCombine like terms:\n 2B + 7 = 43\n\nSubtract 7 from both sides:\n 2B = 36\n\nDivide both sides by 2:\n B = 18\n\nNow that we know Bodhi found 18 insects, we can find out how many David found by using the second equation:\n D = 1/2 * B\n D = 1/2 * 18\n D = 9\n\nFinally, we can find out how many insects Lily found by using the first equation:\n L = D + 7\n L = 9 + 7\n L = 16\n\nLily found $\\boxed{16}$ insects.The answer is: 16", "answer": {"result": 16}}, "matches": true} +{"solution": {"solution": "Mariah used 1/4 of a skein of yarn, which is (1/4) * 364 = 91 yards.\nHer grandma used 1/2 of a skein of yarn, which is (1/2) * 364 = 182 yards.\nAltogether, they used 91 + 182 = 273 yards of yarn.\n#### 273\nThe answer is: 273", "answer": {"result": 273}}, "matches": true} +{"solution": {"solution": "Cherrie has 5 friends. \n\n2 friends want 5 gifts each, so that's 2 friends * 5 gifts each = 10 gifts.\n\n3 friends want 2 gifts each, so that's 3 friends * 2 gifts each = 6 gifts.\n\nAdding the gifts for her 5 friends together, we have 10 gifts + 6 gifts = 16 gifts.\n\nCherrie also buys 10 more random gifts, so the total number of gifts she buys is 16 gifts + 10 gifts = $\\boxed{26}$ gifts.", "answer": {"result": 26}}, "matches": true} +{"solution": {"solution": "\nFirst, let's find the width of the rug. The rug is 5 feet wider than the chair, and the chair is 3 feet wide. So, the width of the rug is:\n\n3 feet (chair width) + 5 feet = 8 feet\n\nNext, let's find the length of the couch. The couch is 2 feet longer than twice the width of the rug. Twice the width of the rug is:\n\n2 * 8 feet = 16 feet\n\nNow, add the 2 feet to find the length of the couch:\n\n16 feet + 2 feet = 18 feet\n\nTherefore, the couch is $\\boxed{18}$ feet long.\n\nAnswer: 18", "answer": {"result": 18}}, "matches": true} +{"solution": {"solution": "Suzie bought two packs of strawberry gum, so let's call the cost of each pack \"x\" dollars.\n\nShe also bought a pack of grape gum for $2.\n\nShe bought a pack of green apple gum for half the cost of the grape gum, so that's $2/2 = $1.\n\nThe total cost of the gums is $7, so we can set up the following equation:\n\n2x (cost of strawberry gum) + $2 (cost of grape gum) + $1 (cost of green apple gum) = $7\n\nCombining the known costs, we have:\n\n2x + $3 = $7\n\nSubtract $3 from both sides to solve for 2x:\n\n2x = $7 - $3\n2x = $4\n\nNow, divide both sides by 2 to find the cost of one pack of strawberry gum:\n\nx = $4 / 2\nx = $2\n\nEach pack of strawberry gum cost $\\boxed{\\$2}$ .", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "Frederick wants to buy the cheapest lumber, so he should choose between the 2 x 4 and the 2 x 8. \n\nThe 2 x 4 costs $4 and gives him 200 sticks. \nThe 2 x 8 costs $6 and gives him 400 sticks. \n\nTo determine which one is cheaper in terms of sticks per dollar, we can calculate the cost per stick for each option. \n\nFor the 2 x 4: \nCost per stick = $4 / 200 sticks = $0.02 per stick \n\nFor the 2 x 8: \nCost per stick = $6 / 400 sticks = $0.015 per stick \n\nThe 2 x 8 is cheaper at $0.015 per stick, so Frederick should buy the 2 x 8 piece of wood. \n\nWith $24, he can buy $24 / $6 = 4 pieces of 2 x 8. \n\nEach piece gives him 400 sticks, so 4 pieces give him 4 x 400 = 1600 sticks. \n\nTherefore, the most popsicle sticks he can make if he buys the cheapest lumber is $\\boxed{1600}$ sticks.The answer is: 1600", "answer": {"result": 1600}}, "matches": true} +{"solution": {"solution": "\n\nMario has 6 sled dogs and each dog has 4 legs, so he needs a total of 6 * 4 = 24 snowshoes.\n\nEach pair of snowshoes costs $12.00, so he needs 24 / 2 = 12 pairs of snowshoes.\n\nTherefore, it will cost him 12 * $12.00 = $144.00 to buy snowshoes for all of his dogs.\n\n#### 144\nThe answer is: 144", "answer": {"result": 144}}, "matches": true} +{"solution": {"solution": "Janet takes two bus trips each day for five days a week, so she takes 2 x 5 = 10 bus trips in a week.\nIf each bus trip costs her $2.20, then she spends 10 x $2.20 = $22 in a week on bus trips.\nIf she buys a weekly bus pass for $20, she would save $22 - $20 = $2 by not having to pay for individual bus trips.\n#### 2\nThe answer is: 2", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "The zoo has twice as many cows as the farm does, so the zoo has 2 * 30 = 60 cows.\n\nThe farm has half as many sheep as the zoo does, so the farm has 20 / 2 = 10 sheep.\n\nThe farm has 30 cows and 10 sheep, so the farm has a total of 30 + 10 = 40 animals.\n\nThe zoo has 60 cows and 20 sheep, so the zoo has a total of 60 + 20 = 80 animals.\n\nCombined, the farm and zoo have 40 + 80 = $\\boxed{120}$ animals.", "answer": {"result": 120}}, "matches": true} +{"solution": {"solution": "If Rose bought 4 times the number of onions and potatoes Sophia bought, then Sophia bought 12 / 4 = 3 onions.\n\nSimilarly, Sophia bought 4 / 4 = 1 potato.\n\nTherefore, Sophia bought a total of 3 onions + 1 potato = $\\boxed{4}$ onions and potatoes.", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total number of days Andy has to achieve his goal:\n\nFrom December 31st to his birthday on July 19th, there are 214 days.\n\nNext, we'll calculate the total calorie deficit needed to lose 30 lbs:\n\n30 lbs * 3500 calories per pound = 105,000 calories\n\nNow, we'll find the daily calorie deficit by dividing the total calorie deficit by the number of days:\n\n105,000 calories / 214 days \u2248 490.65 calories per day\n\nAndy needs to have a daily calorie deficit of approximately 491 calories to reach his goal.\n\nAnswer: Andy needs to have a daily calorie deficit of around 491 calories.", "answer": {"result": 491}}, "matches": false} +{"solution": {"solution": "Gerald worked for an entire week, which means he worked for 7 days. \n\nHis daily earnings are $30. \n\nSo, his total earnings for the week are:\n7 days * $30/day = $210\n\nHe spent a total of $100. \n\nTo find out how much he has left, we subtract his expenses from his earnings:\n$210 (earnings) - $100 (expenses) = $110\n\nGerald has $\\boxed{\\$110}$ left.", "answer": {"result": 110}}, "matches": true} +{"solution": {"solution": "To solve the problem, we follow these steps:\n\n1. First, we calculate the total number of kilometers Hannah needs to run. Since each lap is 0.25 km and she has to run 8 laps, the total distance is:\n\\[0.25 \\, \\text{km/lap} \\times 8 \\, \\text{laps} = 2 \\, \\text{km}\\]\n\n2. Next, we determine how much water Hannah needs to drink for each kilometer. Given that she needs to drink 60 ml of water for each kilometer, for 2 km, the total amount of water needed is:\n\\[60 \\, \\text{ml/km} \\times 2 \\, \\text{km} = 120 \\, \\text{ml}\\]\n\nTherefore, Hannah will need to drink $\\boxed{120}$ milliliters of water.", "answer": {"result": 120}}, "matches": true} +{"solution": {"solution": "Julie spent 20% of $500 on clothes, which is $500 * 0.20 = $100.\nAfter spending $100 on clothes, Julie had $500 - $100 = $400 remaining.\nThen Julie spent 25% of the remaining $400 on CDs, which is $400 * 0.25 = $100.\nAfter spending $100 on CDs, Julie had $400 - $100 = $300 left.\n#### 300\nThe answer is: 300", "answer": {"result": 300}}, "matches": true} +{"solution": {"solution": "Let's call the cost of the lot x. \n\nAccording to the problem, the house costs three times as much as the lot, so the cost of the house is 3x. \n\nThe total cost of the house and the lot is $120,000, so we can write the equation: \nx + 3x = $120,000\n\nCombining like terms, we get: \n4x = $120,000\n\nTo find the cost of the house (3x), we need to solve for x first. \n\nDivide both sides of the equation by 4: \nx = $120,000 / 4\nx = $30,000\n\nNow, to find the cost of the house (3x): \n3x = 3 * $30,000\n3x = $90,000\n\nSo, the house cost $\\boxed{\\$90,000}$ .", "answer": {"result": 90000}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total cost of the canvas bags. \n\nTara bought 8 packs, and each pack contains 5 bags, so she bought a total of:\n8 packs * 5 bags/pack = 40 bags\n\nThe cost per pack is $4, so the total cost for 8 packs is:\n8 packs * $4/pack = $32\n\nNow, let's calculate the total revenue from selling the bags. \n\nShe sold each bag for $8, so the total revenue from selling 40 bags is:\n40 bags * $8/bag = $320\n\nTo find the profit, we subtract the total cost from the total revenue:\nProfit = Total Revenue - Total Cost\nProfit = $320 - $32\nProfit = $288\n\nTara earned a profit of $\\boxed{\\$288}$ on her canvas bags.", "answer": {"result": 288}}, "matches": false} +{"solution": {"solution": "\nTo find the total number of punches Joe throws, we need to multiply the number of punches he throws per minute by the total number of minutes in the fight.\n\nJoe throws 25 punches per minute.\n\nThe fight lasts 5 rounds of 3 minutes each, so the total number of minutes in the fight is 5 rounds * 3 minutes/round = 15 minutes.\n\nNow, we multiply the number of punches per minute by the total number of minutes:\n\n25 punches/minute * 15 minutes = 375 punches.\n\nJoe threw a total of 375 punches.\n\nThe answer is: 375", "answer": {"result": 375}}, "matches": true} +{"solution": {"solution": "If Suzanne made 36 cookies, then Josh made 36 / 4 = 9 cookies.\n\nSince Kelsie made two times more cookies than Josh, Kelsie made 2 * 9 = 18 cookies.\n\nTherefore, Kelsie made 18 cookies.\n\n#### 18\nThe answer is: 18", "answer": {"result": 18}}, "matches": true} +{"solution": {"solution": "\n\nFirst, let's calculate the total amount of money Ali has:\n\nAli has four $10 bills, so that's 4 * $10 = $40.\nHe also has six $20 bills, so that's 6 * $20 = $120.\n\nAdding these amounts together, Ali has a total of $40 + $120 = $160.\n\nNext, Ali gives half of this amount to his sister:\n\nHalf of $160 is $160 / 2 = $80.\n\nAfter giving his sister $80, Ali has $160 - $80 = $80 remaining.\n\nNow, Ali uses 3/5 of this remaining amount to buy dinner:\n\n3/5 of $80 is (3/5) * $80 = $48.\n\nFinally, to find out how much money Ali has left after buying dinner, we subtract the amount he spent on dinner from the remaining amount:\n\n$80 - $48 = $32.\n\nTherefore, Ali has $32 left after buying dinner.\n\nAnswer:\n\n$32", "answer": {"result": 32}}, "matches": true} +{"solution": {"solution": "If Rob takes 2 hours to shingle a house, we need to convert that time into minutes. Since there are 60 minutes in an hour, Rob takes 2 * 60 = 120 minutes.\n\nDouble the time Rob takes would be 2 * 120 = 240 minutes.\n\nRoyce takes 40 minutes more than double the time Rob takes, so Royce takes 240 + 40 = 280 minutes.\n\nTherefore, Royce takes $\\boxed{280}$ minutes to shingle a house.The answer is: 280", "answer": {"result": 280}}, "matches": true} +{"solution": {"solution": "To find out how many skeins of wool Martha needs to buy for her 3 grandchildren, we calculate the total number of skeins required for each item of clothing and then multiply by the number of children.\n\n- For the hats: $3 \\times 2 = 6$ skeins\n- For the scarves: $3 \\times 4 = 12$ skeins\n- For the sweaters: $3 \\times 12 = 36$ skeins\n- For the mittens: $3 \\times 1 = 3$ skeins\n- For the socks: $3 \\times 2 = 6$ skeins\n\nAdding these together gives the total number of skeins needed:\n\n\\[6 + 12 + 36 + 3 + 6 = 63\\]\n\nTherefore, Martha will need to buy $\\boxed{63}$ skeins of wool.\n\nConclusion:\nMartha needs to buy 63 skeins of wool to make all the winter wear for her triplet grandchildren, accounting for all the items and the number of children.", "answer": {"result": 63}}, "matches": true} +{"solution": {"solution": "On Monday, Chris completes 12 problems. \nOn Tuesday, he completes 3 times as many problems as he did on Monday, so he completes 3 * 12 = 36 problems. \nThe total number of problems completed by Tuesday is 12 + 36 = 48 problems. \n\nThe remaining number of problems after Tuesday is 100 - 48 = 52 problems. \n\nOn Wednesday, Chris completes one-quarter of the remaining problems, so he completes 52 / 4 = 13 problems. \n\nThe number of problems left to complete after Wednesday is 52 - 13 = 39 problems. \n\nTherefore, Chris has 39 math problems left to complete on Thursday. \n\n#### 39\nThe answer is: 39", "answer": {"result": 39}}, "matches": true} +{"solution": {"solution": "Tony can pick 6 quarts of strawberries per hour. \n\nBobby picks one less quart than Tony, so Bobby can pick 6 - 1 = 5 quarts of strawberries per hour.\n\nKathy can pick twice as many strawberries per hour as Bobby, so Kathy can pick 5 * 2 = 10 quarts of strawberries per hour.\n\nRicky picks two fewer quarts than Kathy, so Ricky can pick 10 - 2 = 8 quarts of strawberries per hour.\n\nIn total, Tony, Bobby, Ricky, and Kathy can pick:\n6 (Tony) + 5 (Bobby) + 10 (Kathy) + 8 (Ricky) = 29 quarts of strawberries per hour.\n\nThe answer is: 29", "answer": {"result": 29}}, "matches": true} +{"solution": {"solution": "The bakers started with 200 loaves of bread. \nThey sold 93 loaves in the morning and 39 loaves in the afternoon, so they sold a total of 93 + 39 = 132 loaves. \nAfter selling, they had 200 - 132 = 68 loaves left. \nThe grocery store returned 6 unsold loaves, so they now have 68 + 6 = 74 loaves left. \n\n#### 74\nThe answer is: 74", "answer": {"result": 74}}, "matches": true} +{"solution": {"solution": "Jackson can fit 6 red tulips in a row, so to find out how many rows he can plant with 36 red tulips, we divide the number of tulips by the number of tulips per row:\n\n36 red tulips / 6 tulips per row = 6 rows of red tulips\n\nSimilarly, Jackson can fit 8 blue tulips in a row, so to find out how many rows he can plant with 24 blue tulips, we divide the number of tulips by the number of tulips per row:\n\n24 blue tulips / 8 tulips per row = 3 rows of blue tulips\n\nTo find the total number of rows of flowers Jackson will plant, we add the number of rows of red tulips to the number of rows of blue tulips:\n\n6 rows of red tulips + 3 rows of blue tulips = 9 rows of flowers\n\nTherefore, Jackson will plant $\\boxed{9}$ rows of flowers.The answer is: 9", "answer": {"result": 9}}, "matches": true} +{"solution": {"solution": "First, let's determine how many cups of raisins Heather will use for each type of recipe. Since she wants to divide the raisins equally among oatmeal cookies, granola, and snack mix, we need to find the total number of cups for all three.\n\nThe total number of cups of raisins in the bag is 27.\n\nSince she wants to divide the raisins equally, we will assume that each type of recipe gets 1/3 of the raisins.\n\nSo, the number of cups of raisins for each type of recipe is:\n27 cups / 3 = 9 cups for each type of recipe.\n\nNow, let's calculate how many batches of oatmeal cookies she can make with 9 cups of raisins.\n\nEach batch of oatmeal cookies takes 3/4 of a cup of raisins.\n\nThe number of batches of oatmeal cookies she can make is:\n9 cups / (3/4) cup per batch = 9 / (3/4) = 9 * (4/3) = 12 batches.\n\nTherefore, Heather can make $\\boxed{12}$ batches of oatmeal cookies with the raisins.", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "First, let's calculate Ada's initial daily electric consumption without the new device:\n\nAda's initial daily consumption = 12 kilowatts per hour\n\nNow, let's calculate her new daily consumption after adding the new device:\n\nNew daily consumption = Ada's initial daily consumption + New device consumption\nNew daily consumption = 12 kilowatts per hour + 2 kilowatts per hour\nNew daily consumption = 14 kilowatts per hour\n\nNext, let's calculate the difference in daily consumption:\n\nDifference in daily consumption = New daily consumption - Ada's initial daily consumption\nDifference in daily consumption = 14 kilowatts per hour - 12 kilowatts per hour\nDifference in daily consumption = 2 kilowatts per hour\n\nNow, let's calculate the cost of this difference per day:\n\nCost per day = Difference in daily consumption * Cost per kilowatt per hour\nCost per day = 2 kilowatts per hour * $1.50 per kilowatt per hour\nCost per day = $3.00\n\nFinally, let's calculate Ada's weekly electric bill before and after adding the new device:\n\nInitial weekly consumption = Ada's initial daily consumption * 7 days\nInitial weekly consumption = 12 kilowatts per hour * 7 days\nInitial weekly consumption = 84 kilowatts\n\nNew weekly consumption = New daily consumption * 7 days\nNew weekly consumption = 14 kilowatts per hour * 7 days\nNew weekly consumption = 98 kilowatts\n\nInitial weekly cost = Initial weekly consumption * Cost per kilowatt per hour\nInitial weekly cost = 84 kilowatts * $1.50 per kilowatt per hour\nInitial weekly cost = $126.00\n\nNew weekly cost = New weekly consumption * Cost per kilowatt per hour\nNew weekly cost = 98 kilowatts * $1.50 per kilowatt per hour\nNew weekly cost = $147.00\n\nDifference in weekly cost = New weekly cost - Initial weekly cost\nDifference in weekly cost = $147.00 - $126.00\nDifference in weekly cost = $21.00\n\nSo, the difference between Ada's weekly electric bill before and after she adds the new device is $21.00.\n\nThe final answer is $\\boxed{21.00}$ .", "answer": {"result": 21}}, "matches": true} +{"solution": {"solution": "\n1. **Identify the given information:**\n\n - One person can paint half a house in 5 days.\n\n2. **Determine the work rate of one person:**\n\n - Half a house is painted in 5 days.\n - Therefore, the entire house can be painted in \\(5 \\times 2 = 10\\) days.\n\n3. **Calculate the daily work rate of one person:**\n\n - The entire house is painted in 10 days by one person.\n - Thus, one person's daily work rate is \\(\\frac{1}{10}\\) of the house per day.\n\n4. **Determine the combined work rate of 5 people:**\n\n - Let \\(r\\) be the daily work rate of one person.\n - The daily work rate of 5 people is \\(5r\\).\n - Since \\(r = \\frac{1}{10}\\), we have \\(5r = 5 \\times \\frac{1}{10} = \\frac{1}{2}\\).\n\n5. **Calculate the number of days required for 5 people to paint the entire house:**\n\n - The combined daily work rate of 5 people is \\(\\frac{1}{2}\\) (half a house per day).\n - Therefore, they need 2 days to paint the entire house.\n\n6. **Convert the number of days to hours:**\n\n - There are 2 days.\n - Each day has 24 hours.\n - Total hours = \\(2 \\times 24 = 48\\) hours.\n\n### Conclusion:\n\\[\n\\boxed{48 \\text{ hours}}\n\\]", "answer": {"result": 48}}, "matches": true} +{"solution": {"solution": "If Ophelia has 20 sofas, and each of them has 2 fewer sofas than chairs, then Ophelia has 20 + 2 = 22 chairs.\n\nJenna has 3 times as many chairs as Ophelia, so Jenna has 3 * 22 = 66 chairs.\n\nSince Jenna also has 2 fewer sofas than chairs, she has 66 - 2 = 64 sofas.\n\nThe total number of sofas for both Ophelia and Jenna is 20 (Ophelia's sofas) + 64 (Jenna's sofas) = 84 sofas.\n\nThe total number of chairs for both Ophelia and Jenna is 22 (Ophelia's chairs) + 66 (Jenna's chairs) = 88 chairs.\n\nTherefore, the total number of sofas and chairs they have together is 84 sofas + 88 chairs = $\\boxed{172}$ pieces of furniture.", "answer": {"result": 172}}, "matches": true} +{"solution": {"solution": "Tom paid $48 in total for the CD and the headphone set. \n\nIf he had not bought the headphone set, he would have spent the money he allocated for it on CDs. \n\nThe cost of the headphone set is $48 - $4 (cost of the CD) = $44.\n\nThe number of additional CDs Tom could have bought with the $44 is $44 / $4 = 11 CDs. \n\nSo, Tom would have been able to buy $\\boxed{11}$ more CDs if he had not bought the headphone set.", "answer": {"result": 11}}, "matches": true} +{"solution": {"solution": "Josh spent 4 hours working out every week except on some occasions. \n\n- Normal weeks: 4 hours/week x 5 weeks = 20 hours\n- Exception weeks: 5 hours/week for 2 weeks = 10 hours\n Total exception hours = 10 hours\n- Another exception week: 6 hours/week x 1 week = 6 hours\n\nAdding up all the hours: 20 hours (normal weeks) + 10 hours (5 hours/week for 2 weeks) + 6 hours (6 hours/week for 1 week) = 36 hours\n\nJosh spent a total of $\\boxed{36}$ hours working out across the 8 weeks.", "answer": {"result": 36}}, "matches": true} +{"solution": {"solution": "\n1. **Initial Number of Passengers:**\n Initially, there are 48 passengers on the bus.\n\n2. **Changes at the First Stop:**\n - 8 passengers get off the bus.\n - 5 times the number of passengers who got off get on the bus.\n - Calculation: \\(5 \\times 8 = 40\\) passengers get on the bus.\n\n Total passengers after the first stop:\n \\[\n 48 - 8 + 40 = 80\n \\]\n\n3. **Changes at the Second Stop:**\n - 21 passengers get off the bus.\n - 3 times fewer passengers get on the bus.\n - Calculation: \\( \\frac{40}{3} \\approx 13.33 \\) passengers get on the bus, but we consider only integers, so it is 13 passengers.\n\n Total passengers after the second stop:\n \\[\n 80 - 21 + 13 = 72\n \\]\n\n### Conclusion:\n\nThe number of passengers remaining on the bus after the second stop is:\n\\[\n\\boxed{72}\n\\]", "answer": {"result": 72}}, "matches": false} +{"solution": {"solution": "To solve the problem, we follow the given information step by step:\n\n1. **Calculate Jame's current age**:\n - Jame will turn 27 in 5 years. To find his current age, we subtract 5 years from 27:\n \\[\n 27 - 5 = 22\n \\]\n So, Jame is currently 22 years old.\n\n2. **Determine the ages in 8 years**:\n - In 8 years, Jame will be 22 + 8 = 30 years old.\n - We are told that in 8 years, Jame's cousin will be 5 years younger than twice Jame's age. Therefore, we calculate twice Jame's age in 8 years:\n \\[\n 2 \\times 30 = 60\n \\]\n - Then, to find his cousin's age in 8 years, we subtract 5:\n \\[\n 60 - 5 = 55\n \\]\n So, in 8 years, Jame's cousin will be 55 years old.\n\n3. **Find their current ages**:\n - Since in 8 years Jame's cousin will be 55, we subtract 8 from 55 to find his cousin's current age:\n \\[\n 55 - 8 = 47\n \\]\n - We already know Jame's current age is 22.\n\n4. **Calculate the age difference**:\n - To find the difference between their current ages, we subtract Jame's age from his cousin's age:\n \\[\n 47 - 22 = 25\n \\]\n\nTherefore, the current age difference between Jame and his cousin is $\\boxed{25}$ years.", "answer": {"result": 25}}, "matches": true} +{"solution": {"solution": "Let's denote the cost of the computer as C, the cost of one monitor as M, and the cost of the printer as P.\n\nFrom the information given, we have:\n\nC = $1,100 (given directly)\n\nP = C - $400 (the printer cost $400 less than the computer)\n\nThe total cost of the computer, 2 monitors, and the printer is $2,400.\n\nSo, we can write the equation:\n\nC + 2M + P = $2,400\n\nNow, we can substitute the values of C and P into the equation:\n\n$1,100 + 2M + ($1,100 - $400) = $2,400\n\nSimplify the equation:\n\n$1,100 + 2M + $700 = $2,400\n\nCombine like terms:\n\n$1,800 + 2M = $2,400\n\nSubtract $1,800 from both sides to solve for 2M:\n\n2M = $2,400 - $1,800\n2M = $600\n\nDivide both sides by 2 to find the cost of one monitor:\n\nM = $600 / 2\nM = $300\n\nSo, one monitor costs $\\boxed{\\$300}$ .", "answer": {"result": 300}}, "matches": true} +{"solution": {"solution": "\nFirst, let's determine the total number of seashells brought by the boys. Since there were 20 kids divided into two equal groups, there were 10 boys and 10 girls. Each boy brought back 60 seashells, so the total number of seashells brought by the boys is:\n\n10 boys * 60 seashells/boy = 600 seashells\n\nNow, let's find out how many seashells the girls brought. The girls brought an amount equal to the number of shells brought by the boys plus four times as many seashells as the boys. So, the total number of seashells brought by the girls is:\n\n600 seashells (brought by boys) + 4 * 600 seashells (four times as many as the boys) = 600 seashells + 2400 seashells = 3000 seashells\n\nSince there were 10 girls, we can find out how many seashells each girl brought by dividing the total number of seashells brought by the girls by the number of girls:\n\n3000 seashells / 10 girls = 300 seashells per girl\n\nTherefore, each girl brought back $\\boxed{300}$ seashells.", "answer": {"result": 300}}, "matches": true} +{"solution": {"solution": "\n1. Let's denote the number of candies that George originally had as \\( G \\).\n2. From the problem, we know that Nick had twice as many candies as George before George ate any. Therefore, the number of candies Nick had originally is \\( 2G \\).\n3. George then ate 5 candies, leaving him with \\( G - 5 \\) candies.\n4. It is given that after eating 5 candies, George has 3 candies left. Hence, we can set up the equation:\n \\[\n G - 5 = 3\n \\]\n5. To find \\( G \\), solve the equation:\n \\[\n G - 5 = 3 \\implies G = 3 + 5 \\implies G = 8\n \\]\n6. Since Nick originally had twice as many candies as George, Nick's original number of candies is:\n \\[\n 2G = 2 \\times 8 = 16\n \\]\n\n### Conclusion:\nNick has \\( \\boxed{16} \\) candies.\n", "answer": {"result": 16}}, "matches": true} +{"solution": {"solution": "Alyana is 10 - 4 = 6 years old.\nThus, Anne is 6 + 2 = 8 years old.\nThe answer is 8", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "\n1. **Identify the thickness of the first book**: \n \\[\n \\text{Thickness of the first book} = 31 \\, \\text{mm}\n \\]\n\n2. **Identify the thickness of the second book**:\n \\[\n \\text{Thickness of the second book} = 50 \\, \\text{mm}\n \\]\n\n3. **Determine the thickness of the third book**: \n The third book is 5 mm thinner than the second book.\n \\[\n \\text{Thickness of the third book} = 50 \\, \\text{mm} - 5 \\, \\text{mm} = 45 \\, \\text{mm}\n \\]\n\n4. **Identify the thickness of the fourth book**: \n The fourth book is twice as thick as the first book.\n \\[\n \\text{Thickness of the fourth book} = 2 \\times 31 \\, \\text{mm} = 62 \\, \\text{mm}\n \\]\n\n5. **Calculate the total thickness of all four books**:\n \\[\n \\text{Total thickness} = \\text{Thickness of the first book} + \\text{Thickness of the second book} + \\text{Thickness of the third book} + \\text{Thickness of the fourth book}\n \\]\n \\[\n = 31 \\, \\text{mm} + 50 \\, \\text{mm} + 45 \\, \\text{mm} + 62 \\, \\text{mm}\n \\]\n\n6. **Perform the addition**:\n \\[\n 31 + 50 = 81 \\, \\text{mm}\n \\]\n \\[\n 81 + 45 = 126 \\, \\text{mm}\n \\]\n \\[\n 126 + 62 = 188 \\, \\text{mm}\n \\]\n\n### Conclusion:\nThe total thickness of all four books is:\n\\[\n\\boxed{188 \\, \\text{mm}}\n\\]", "answer": {"result": 188}}, "matches": true} +{"solution": {"solution": "Emma has already made a total of 18 + 21 + 15 = 54 vlogs in the first three weeks.\n\nShe needs to make a total of 72 vlogs per month.\n\nTo find out how many more vlogs she needs to make, subtract the number of vlogs she has already made from the total number of vlogs she needs to make:\n\n72 - 54 = 18\n\nEmma needs to make 18 more vlogs to complete her monthly goal.\n#### 18\nThe answer is: 18", "answer": {"result": 18}}, "matches": true} +{"solution": {"solution": "First, calculate the total cost of the dinner including the tip:\n1. Compute the tip amount: $50 \\times 20\\% = 50 \\times 0.20 = 10$ dollars.\n2. Add the tip to the original bill to find the total amount: $50 + 10 = 60$ dollars.\n\nNext, split the total cost evenly between two people:\n1. Divide the total amount by the number of people sharing the cost: $60 \\div 2 = 30$ dollars.\n\nThus, each person pays:\n\\[\n\\boxed{30 \\text{ dollars}}\n\\]", "answer": {"result": 30}}, "matches": false} +{"solution": {"solution": "1. **Initial Sharing**:\n - Three boys share $18 equally.\n - Each boy's initial share is:\n \\[\n \\frac{18}{3} = 6 \\text{ dollars}\n \\]\n\n2. **Eldest Boy's Additional Contributions**:\n - The eldest boy adds $5 to his share:\n \\[\n 6 + 5 = 11 \\text{ dollars}\n \\]\n - The next day, he adds another $10:\n \\[\n 11 + 10 = 21 \\text{ dollars}\n \\]\n\n3. **Spending $8**:\n - The eldest boy spends $8 from his total:\n \\[\n 21 - 8 = 13 \\text{ dollars}\n \\]\n\n4. **Tripling Remaining Amount**:\n - After spending $8, he has $13 left.\n - He then triples this amount:\n \\[\n 13 \\times 3 = 39 \\text{ dollars}\n \\]\n\n5. **Conclusion**:\n - The eldest boy now has $39 dollars.\n\n\\[\n\\boxed{39}\n\\]", "answer": {"result": 39}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's break it down into steps:\n\n1. **Determine the total amount Elvis needs to save in April**:\n - Elvis' monthly savings target is $1125. Therefore, over the course of April, which has 30 days, he needs to save a total of:\n \\[\n \\text{Total for April} = \\frac{\\$1125}{30} = \\$37.50 \\text{ per day}\n \\]\n\n2. **Calculate the savings for the first half of April**:\n - April has 30 days, so the first half consists of the first 15 days. To find out how much he needs to save daily for the first half, we divide his total monthly savings target by 30 and then by 2 (since the first half is half the total days):\n \\[\n \\text{Daily savings for the first half} = \\frac{\\$37.50}{2} = \\$18.75 \\text{ per day}\n \\]\n\n3. **Calculate the savings for the second half of April**:\n - Elvis wants to save twice as much daily in the second half as he saves in the first half. Therefore, the amount he saves daily in the second half is:\n \\[\n \\text{Daily savings for the second half} = 2 \\times \\$18.75 = \\$37.50 \\text{ per day}\n \\]\n\nTherefore, Elvis has to save $\\boxed{\\$37.50}$ for each day in the second half of the month.", "answer": {"result": 37.5}}, "matches": false} +{"solution": {"solution": "Verna bought 3 apples at $1.50 each, so she spent 3 * $1.50 = $4.50 on apples.\nShe bought 5 oranges at $0.80 each, so she spent 5 * $0.80 = $4.00 on oranges.\nShe bought 6 peaches at $0.75 each, so she spent 6 * $0.75 = $4.50 on peaches.\nIn total, Verna spent $4.50 + $4.00 + $4.50 = $13.00 on fruit.\nIf she gave $20 and spent $13.00, then she received $20 - $13.00 = $7.00 in change.\n#### 7\nThe answer is: 7", "answer": {"result": 7}}, "matches": true} +{"solution": {"solution": "Jairus gets $0.8 for each small task completed, so for 20 tasks, he earns 20 * $0.8 = $16.\nJenny gets $0.5 for each small task completed, so for 20 tasks, she earns 20 * $0.5 = $10.\nJairus earns $16 - $10 = $6 more than Jenny.\n#### 6\nThe answer is: 6", "answer": {"result": 6}}, "matches": true} +{"solution": {"solution": "Let's denote the amount of money Brad gets as B dollars. According to the problem, Jeff gets 4 times as much as Brad. Therefore, Jeff gets 4B dollars.\n\nThe total amount of money is 100 dollars, and it is divided between Jeff and Brad. So, we can write the equation:\n\nB (Brad's amount) + 4B (Jeff's amount) = 100\n\nCombining like terms, we get:\n\n5B = 100\n\nTo find the value of B, we divide both sides of the equation by 5:\n\nB = 100 / 5\nB = 20\n\nSo, Brad gets 20 dollars. Since Jeff gets 4 times as much as Brad, Jeff gets:\n\n4 * 20 = 80 dollars\n\nTherefore, Jeff gets $\\$80$ .", "answer": {"result": 80}}, "matches": true} +{"solution": {"solution": "Jeff walks 3 miles one way to work, so he walks 3 x 2 = 6 miles each day. \n\nIf he works 5 times a week, then he walks 6 miles x 5 days = $\\boxed{30}$ miles in total for the week.", "answer": {"result": 30}}, "matches": true} +{"solution": {"solution": "1. **Counting the full alphabet**:\n - Elise writes the entire alphabet twice. Each full alphabet contains 26 letters.\n - Therefore, the number of letters from the full alphabet is:\n \\[\n 2 \\times 26 = 52 \\text{ letters}\n \\]\n\n2. **Counting half the alphabet**:\n - She writes half of the alphabet once. Half of 26 is:\n \\[\n \\frac{26}{2} = 13 \\text{ letters}\n \\]\n\n3. **Combining the counts**:\n - The total number of letters Elise wrote includes:\n - The 52 letters from writing the full alphabet twice.\n - The 13 letters she wrote from half the alphabet.\n\n - Adding these quantities together gives:\n \\[\n 52 + 13 = 65 \\text{ letters}\n \\]\n\n4. **Conclusion**:\n - The total number of letters Elise has written is:\n \\[\n \\boxed{65}\n \\]", "answer": {"result": 65}}, "matches": false} +{"solution": {"solution": "To solve this problem, we recognize that it's a classic geometric progression scenario, where the sequence of families called in each round forms a geometric sequence.\n\n1. **Identify Initial Call and Rate of Expansion**:\n - Ali calls 3 families initially.\n - Each of these 3 families then calls 3 more families, and this pattern continues.\n\n2. **Formulate the Sequence**:\n - The number of families called in each round forms a geometric sequence.\n - Let \\(a\\) be the initial number of families called (3 in this case), and \\(r\\) be the common ratio (3 in this case).\n\n3. **Sum Formula for Geometric Series**:\n - The sum \\(S_n\\) of the first \\(n\\) terms of a geometric series is given by:\n \\[\n S_n = a \\frac{r^n - 1}{r - 1}\n \\]\n - Here, \\(a = 3\\), \\(r = 3\\), and \\(n = 4\\) (since we are interested in the fourth round of calls).\n\n4. **Calculate the Fourth Round Sum**:\n - Substitute \\(a = 3\\), \\(r = 3\\), and \\(n = 4\\) into the formula:\n \\[\n S_4 = 3 \\frac{3^4 - 1}{3 - 1}\n \\]\n - Simplify the expression:\n \\[\n 3^4 = 81\n \\]\n \\[\n S_4 = 3 \\frac{81 - 1}{2}\n \\]\n \\[\n S_4 = 3 \\frac{80}{2}\n \\]\n \\[\n S_4 = 3 \\times 40\n \\]\n \\[\n S_4 = 120\n \\]\n\n5. **Conclusion**:\n - The number of families notified during the fourth round of calls is:\n \\[\n \\boxed{120}\n \\]", "answer": {"result": 120}}, "matches": false} +{"solution": {"solution": "If Mark lost 10 pounds per month for 3 months, then he lost a total of 10 pounds/month * 3 months = 30 pounds.\n\nIf his final weight was 70 pounds and he lost 30 pounds, then his initial weight was 70 pounds + 30 pounds = $\\boxed{100}$ pounds.", "answer": {"result": 100}}, "matches": true} +{"solution": {"solution": "\nFirst, we find out how many toys James's larger play set would have by multiplying his set by 5:\n\\[ 80 \\times 5 = 400 \\]\n\nNext, we determine how many more toys Jonathan needs to have a play set of 400 toys:\n\\[ 400 - x = 2 \\]\nwhere \\( x \\) is the number of toys Jonathan currently has.\n\nSolving for \\( x \\):\n\\[ x = 400 - 2 = 398 \\]\n\nThus, Jonathan currently has \\(\\boxed{398}\\) toys.\n\nAnswer: 398", "answer": {"result": 398}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total cost of each item without the discount:\n\n- 5 notebooks at $1.50 each: 5 * $1.50 = $7.50\n- 2 pens at $0.25 each: 2 * $0.25 = $0.50\n- 1 calculator at $12 each: 1 * $12 = $12\n- 1 geometry set at $10 each: 1 * $10 = $10\n\nNow, let's add up the total cost without the discount:\n\n$7.50 (notebooks) + $0.50 (pens) + $12 (calculator) + $10 (geometry set) = $30\n\nNext, we apply the 10% discount to the total cost:\n\n10% of $30 = 0.10 * $30 = $3\n\nFinally, let's subtract the discount from the total cost to find out how much Daniel has to spend:\n\n$30 (total cost) - $3 (discount) = $27\n\nDaniel has to spend $\\$27$ on all the items he wants to buy.", "answer": {"result": 27}}, "matches": true} +{"solution": {"solution": "To calculate the total cost of Carly's order and the change she gets back, we follow these steps:\n\n1. **Calculate the total cost of hamburgers:**\n - Each hamburger costs $4.\n - Carly orders 5 hamburgers.\n - So, the total cost for hamburgers is $4 \\times 5 = \\$20$.\n\n2. **Calculate the total cost of potato fries:**\n - Each pack of potato fries costs $0.30.\n - Carly orders 10 packs.\n - So, the total cost for potato fries is $0.30 \\times 10 = \\$3$.\n\n3. **Calculate the total cost of fruit drinks:**\n - Each can of fruit drink costs $2.\n - Carly orders 5 cans.\n - So, the total cost for fruit drinks is $2 \\times 5 = \\$10$.\n\n4. **Calculate the grand total cost:**\n - Adding the costs of hamburgers, potato fries, and fruit drinks gives the grand total.\n - The grand total is $20 + 3 + 10 = \\$33$.\n\n5. **Determine the change Carly gets back:**\n - Carly gives one fifty-dollar bill.\n - The change she gets back is $50 - 33 = \\$17$.\n\nTherefore, Carly gets back $\\boxed{\\$17}$ in change.", "answer": {"result": 17}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the base commission for the first $1000:**\n - The company pays a 30% commission for sales up to $1000.\n - Calculate the base commission for $1000:\n \\[\n \\text{Base Commission} = 1000 \\times 0.30 = 300 \\text{ dollars}\n \\]\n\n2. **Determine the additional commission for sales over $1000:**\n - Antonella sold goods worth $2500, which means the additional sales amount is $2500 - $1000 = $1500.\n - The additional commission rate is 10%.\n - Calculate the additional commission for $1500:\n \\[\n \\text{Additional Commission} = 1500 \\times 0.10 = 150 \\text{ dollars}\n \\]\n\n3. **Calculate the total commission earned:**\n - Add the base commission and the additional commission:\n \\[\n \\text{Total Commission} = 300 + 150 = 450 \\text{ dollars}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{450}\n\\]", "answer": {"result": 450}}, "matches": true} +{"solution": {"solution": "\nBill started with 2 cases of water, and each case has 24 bottles, so he initially has 2 x 24 = 48 bottles of water.\nHe wants to have 2 bottles of water for each guest, and he has 70 guests, so he needs 2 x 70 = 140 bottles of water in total.\nHe already has 48 bottles, so he needs to buy an additional 140 - 48 = 92 bottles of water.\nTherefore, Bill will need to buy 92 additional bottles of water.\n#### 92\nThe answer is: 92", "answer": {"result": 92}}, "matches": true} +{"solution": {"solution": "\nLet's break down the problem step by step.\n\n1. **When the water is cold, Ray swims a mile in 16 minutes.**\n\n2. **When the water is warm, Ray swims a mile in 2 minutes more than twice as long as it takes him when the water is cold.**\n - First, calculate twice the time it takes Ray to swim a mile in cold water:\n \\[\n 16 \\text{ minutes} \\times 2 = 32 \\text{ minutes}\n \\]\n - Then, add 2 minutes to this time to find the warm water swimming time:\n \\[\n 32 \\text{ minutes} + 2 \\text{ minutes} = 34 \\text{ minutes}\n \\]\n\n3. **Calculate the time Ray takes to swim 3 miles in cold water:**\n - Since he swims one mile in 16 minutes, for 3 miles:\n \\[\n 16 \\text{ minutes/mile} \\times 3 \\text{ miles} = 48 \\text{ minutes}\n \\]\n\n4. **Calculate the time Ray takes to swim 3 miles in warm water:**\n - Since he swims one mile in 34 minutes, for 3 miles:\n \\[\n 34 \\text{ minutes/mile} \\times 3 \\text{ miles} = 102 \\text{ minutes}\n \\]\n\n5. **Determine the difference in time between swimming 3 miles in warm and cold water:**\n - Subtract the cold water swimming time from the warm water swimming time:\n \\[\n 102 \\text{ minutes} - 48 \\text{ minutes} = 54 \\text{ minutes}\n \\]\n\n### Conclusion:\n\nRay takes 54 minutes longer to swim 3 miles on a hot day than on a cold day.\n\n\\[\n\\boxed{54 \\text{ minutes}}\n\\]", "answer": {"result": 54}}, "matches": true} +{"solution": {"solution": "John works 5 hours a day for 4 days a week, so he works a total of 5 * 4 = 20 hours in a week.\nHe gets paid $2 per hour, so he earns 20 * 2 = $40 in a week.\nIf he wants to save $80, then it will take him 80 / 40 = 2 weeks.\n#### 2\nThe answer is: 2", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "To determine the cost of lunch at Subway, we need to calculate the price of the six-inch cold-cut combo sub and then add it to the cost of the foot-long fish sub.\n\n1. The foot-long fish sub costs $40.\n2. The six-inch cold-cut combo sub costs thrice as much as the foot-long fish sub.\n\nSo, the cost of the six-inch cold-cut combo sub is:\n\\[ \\$40 \\times 3 = \\$120 \\]\n\nNow, we add the cost of both subs to find the total cost of lunch:\n\\[ \\$40 + \\$120 = \\$160 \\]\n\nTherefore, the total cost of lunch at Subway today is $\\$160$.\n\nAnswer:\n\n\\[\n\\boxed{160}\n\\]\n\nConclusion:\nThe final answer is $\\boxed{160}$, which represents the total cost of lunch at Subway for the given items.", "answer": {"result": 160}}, "matches": true} +{"solution": {"solution": ": \n1. **Identify the number of buttons with two holes:**\n Given that there are 7 buttons with two holes.\n\n2. **Identify the number of buttons with four holes:**\n The total number of buttons is 21. Therefore, the number of buttons with four holes is:\n \\[\n 21 - 7 = 14\n \\]\n\n3. **Calculate the total number of holes in buttons with two holes:**\n Each of these 7 buttons has 2 holes. Hence, the total number of holes in these buttons is:\n \\[\n 7 \\times 2 = 14\n \\]\n\n4. **Calculate the total number of holes in buttons with four holes:**\n Each of these 14 buttons has 4 holes. Hence, the total number of holes in these buttons is:\n \\[\n 14 \\times 4 = 56\n \\]\n\n5. **Calculate the total number of holes in all buttons:**\n The total number of holes is the sum of the holes from the 7 buttons with 2 holes and the 14 buttons with 4 holes:\n \\[\n 14 + 56 = 70\n \\]\n\n### Conclusion:\n\\[\n\\boxed{70}\n\\]", "answer": {"result": 70}}, "matches": true} +{"solution": {"solution": "Zack's locker is half as big as Timothy's locker, so Zack's locker is 24 / 2 = 12 cubic inches.\nPeter's locker is 1/4 as big as Zack's locker, so Peter's locker is 12 / 4 = 3 cubic inches.\nTherefore, Peter's locker is 3 cubic inches.\n#### 3\nThe answer is: 3", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "Octavia drinks half the daily recommended cups of coffee, which is 4 cups / 2 = 2 cups.\nJuan drinks 10 times the amount of coffee Octavia drinks, which is 2 cups * 10 = 20 cups.\nJuan's doctor has asked him to reduce his coffee intake to the daily recommendation of 4 cups.\nTherefore, Juan must reduce his daily coffee intake by 20 cups - 4 cups = 16 cups.\n#### 16\nThe answer is: 16", "answer": {"result": 16}}, "matches": true} +{"solution": {"solution": "The total number of rodents in the cages with hamsters is 3 cages x 10 hamsters/cage = 30 hamsters.\nThe total number of rodents in the cages with guinea pigs is 3 cages x 5 guinea pigs/cage = 15 guinea pigs.\nIn total, the pet shop had 30 hamsters + 15 guinea pigs = 45 rodents.\n#### 45\nThe answer is: 45", "answer": {"result": 45}}, "matches": true} +{"solution": {"solution": "Susan weighs 20 pounds less than Mark, so Susan weighs 150 - 20 = 130 pounds.\n\nBob weighs twice as much as Susan, so Bob weighs 130 * 2 = 260 pounds.\n\nThe total weight of the three friends is 150 (Mark) + 130 (Susan) + 260 (Bob) = 540 pounds.\n\nTo find the average weight, we divide the total weight by the number of friends, which is 3.\n\nAverage weight = Total weight / Number of friends\nAverage weight = 540 / 3\nAverage weight = 180 pounds\n\nThe average weight of the three friends is $\\boxed{180}$ pounds.", "answer": {"result": 180}}, "matches": true} +{"solution": {"solution": "1. **Initial Angle**: The initial angle from the ground to the sun is 32 degrees, as measured from the entrance of Sahir's house.\n\n2. **Sun's Movement**: The sun moves 5 degrees per hour. Over 10 hours, the sun will move:\n \\[\n 10 \\times 5 = 50 \\text{ degrees}\n \\]\n straight upward from the pyramid.\n\n3. **New Angle**: The new angle from the ground to the sun, after 10 hours, is calculated by adding the sun's movement to the initial angle:\n \\[\n 32 + 50 = 82 \\text{ degrees}\n \\]\n\nConclusion:\nThe sun will be at an angle of $\\boxed{82}$ degrees from the ground when it completes its 10-hour ascent.", "answer": {"result": 82}}, "matches": true} +{"solution": {"solution": "James has 2 sons, and one is 12 years old, while the other is 4 years younger, so the younger son is 12 - 4 = 8 years old.\n\nFor each son, James needs candles for their age, so he needs 12 candles for his older son and 8 candles for his younger son. \n\nIn total, James needs 12 + 8 = 20 candles.\n\nA pack of 5 candles costs $3, so to find out how many packs James needs, we divide the total number of candles by the number of candles in a pack: 20 / 5 = 4 packs.\n\nEach pack costs $3, so for 4 packs, James spends 4 * $3 = $12 on candles. \n\nTherefore, James spends $\\boxed{\\$12}$ on candles.", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "\n\n1. First, let's calculate the number of minutes Judy spent reading each night in the first week.\n\n2. Given that Judy read for 15 minutes each night before going to sleep for 7 nights (one week), we calculate the total minutes spent reading in the first week:\n\n\\[\n15 \\text{ minutes/night} \\times 7 \\text{ nights} = 105 \\text{ minutes}\n\\]\n\n3. Next, we convert the total minutes spent reading in the first week into pages using the rate of 2 pages per 1.5 minutes.\n\n\\[\n\\frac{2 \\text{ pages}}{1.5 \\text{ minutes}} = \\frac{4}{3} \\text{ pages/minute}\n\\]\n\n4. Therefore, the total number of pages Judy read in the first week is:\n\n\\[\n105 \\text{ minutes} \\times \\frac{4}{3} \\text{ pages/minute} = 140 \\text{ pages}\n\\]\n\n5. We are also given that Judy read a total of 100 pages in the second week.\n\n6. To find the total number of pages Judy read over the two weeks, we sum the pages read in the first week and the second week:\n\n\\[\n140 \\text{ pages} + 100 \\text{ pages} = 240 \\text{ pages}\n\\]\n\n### Conclusion\n\n\\[\n\\boxed{240}\n\\]", "answer": {"result": 240}}, "matches": true} +{"solution": {"solution": "Cody ate a third of the sandwiches, which is 1/3 * 12 = 4 sandwiches.\nTrevor ate a quarter of the sandwiches, which is 1/4 * 12 = 3 sandwiches.\nSo, Cody and Trevor ate a total of 4 + 3 = 7 sandwiches.\nTherefore, there are 12 - 7 = 5 sandwiches left.\n#### 5\nThe answer is: 5", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "If Shiloh is 44 years old today, in 7 years he will be 44 + 7 = 51 years old.\n\nIn 7 years, Shiloh will be three times as old as his nephew. So, if we let N represent the nephew's age in 7 years, we can set up the equation:\n\n51 = 3N\n\nTo find N, we divide both sides of the equation by 3:\n\n51 / 3 = N\n17 = N\n\nSo, in 7 years, Shiloh's nephew will be 17 years old.\n\nTo find out how old Shiloh's nephew is today, we subtract 7 from 17:\n\n17 - 7 = 10\n\nTherefore, Shiloh's nephew is $\\boxed{10}$ years old today.", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "The tooth fairy gave Sharon $5.00 for the first tooth, $1.00 for each of the next three teeth, and $0.50 for each of the last two teeth.\n\nFor the first tooth, Sharon received $5.00.\nFor the next three teeth, Sharon received $1.00 each, so $1.00 * 3 = $3.00.\nFor the last two teeth, Sharon received $0.50 each, so $0.50 * 2 = $1.00.\n\nTo find the total amount of money Sharon received, we add these amounts together:\n$5.00 + $3.00 + $1.00 = $9.00\n\nTherefore, the tooth fairy left Sharon $\\boxed{9.00}$ dollars.The answer is: 9.00", "answer": {"result": 9.0}}, "matches": true} +{"solution": {"solution": "If Richie scored 80 goals, that means Mark scored 80 - 20 = 60 goals. \n\nAnd since Richie scored 45 more goals than Anna, Anna scored 80 - 45 = 35 goals. \n\nTo find the total number of goals scored by all three teenagers, we add their individual scores together:\n\nRichie's goals + Mark's goals + Anna's goals = Total goals\n80 + 60 + 35 = 175\n\nSo, all three teenagers scored a total of $\\boxed{175}$ goals.", "answer": {"result": 175}}, "matches": true} +{"solution": {"solution": "First, let's calculate how much Mitchell made from selling lemonade. Since he sold 21 lemonades at $4 each, we can find the total amount he made by multiplying the number of lemonades sold by the price per lemonade:\n\nMitchell's total earnings = Number of lemonades sold \u00d7 Price per lemonade\nMitchell's total earnings = 21 \u00d7 $4\nMitchell's total earnings = $84\n\nNow, let's compare this to Liam's earnings. Liam made $63 that weekend.\n\nTo find out how many more dollars Mitchell made than Liam, we subtract Liam's earnings from Mitchell's earnings:\n\nMitchell's earnings - Liam's earnings = Difference\n$84 - $63 = $21\n\nMitchell made $\\boxed{\\$21}$ more selling lemonade that weekend than Liam.", "answer": {"result": 21}}, "matches": true} +{"solution": {"solution": "To solve this problem, we start by determining how much Peter spends each day. \n\n1. First, we calculate the total amount Peter has to spend for the week:\n \\[\n 70 \\text{ dollars}\n \\]\n\n2. Since Peter wants to spend an equal amount each day, we divide the total amount by the number of days in the week, which gives us the daily spending:\n \\[\n \\frac{70}{7} = 10 \\text{ dollars per day}\n \\]\n\n3. For the first four days (Sunday through Wednesday), Peter buys wooden action figures that cost $5 each. So, we calculate the total number of wooden figures he can buy with $10 per day:\n \\[\n \\frac{10}{5} = 2 \\text{ wooden figures per day}\n \\]\n Over the four days, the total number of wooden figures is:\n \\[\n 2 \\times 4 = 8 \\text{ wooden figures}\n \\]\n\n4. For the last three days (Thursday, Friday, and Saturday), Peter buys plastic action figures that cost $2 each. With $10 per day to spend, we calculate the total number of plastic figures he can buy:\n \\[\n \\frac{10}{2} = 5 \\text{ plastic figures per day}\n \\]\n Over the three days, the total number of plastic figures is:\n \\[\n 5 \\times 3 = 15 \\text{ plastic figures}\n \\]\n\n5. Finally, we add the total number of wooden figures and plastic figures to find the total number of action figures Peter will have by the end of the week:\n \\[\n 8 + 15 = 23 \\text{ action figures}\n \\]\n\nTherefore, by the end of the week, Peter will have a total of $\\boxed{23}$ action figures.", "answer": {"result": 23}}, "matches": true} +{"solution": {"solution": "The cost of spaying the kitten is $200.\nThe cost of 3 vaccines is 3 * $20 = $60.\nThe cost of the broken vases is 4 * $12 = $48.\nSo far, the kitten has cost $200 + $60 + $48 = $308.\n#### 308\nThe answer is: 308", "answer": {"result": 308}}, "matches": true} +{"solution": {"solution": "\n\nFirst, let's calculate how many roses Ford grows in a week:\n\nFord grows 40 roses every week.\n\nNext, let's calculate how many roses the flower shops order in a week:\n\nThe first flower shop orders 20 roses.\nThe second flower shop orders 15 roses.\nThe third flower shop orders 30 roses.\n\nTotal roses ordered per week = 20 + 15 + 30 = 65 roses.\n\nNow, let's calculate how many roses Ford is short every week:\n\nRoses Ford grows per week - Roses ordered per week = 40 - 65 = -25 roses.\n\nThis means Ford is short by 25 roses every week.\n\nSince there are approximately 4 weeks in a month, let's calculate how many roses Ford is short every month:\n\nShortage per month = Shortage per week * Number of weeks per month\n= 25 roses/week * 4 weeks/month\n= 100 roses/month.\n\nTherefore, Ford lacks $\\boxed{100}$ roses to supply all the flower shops every month.\n\nAnswer:\n100", "answer": {"result": 100}}, "matches": true} +{"solution": {"solution": "Katina has $3000 in her savings account. \nIf she removes $100 from the account every month, she will remove a total of $100 x 12 months = $1200 in a year. \nAfter 2 years, she will remove a total of $1200 x 2 = $2400. \nTherefore, the remaining amount in her account after 2 years will be $3000 - $2400 = $600. \n#### 600\nThe answer is: 600", "answer": {"result": 600}}, "matches": true} +{"solution": {"solution": "To calculate the net profit of the food truck selling grilled cheese sandwiches, we follow these steps:\n\n1. **Calculate the cost of bread per sandwich:**\n - The food truck buys bread at $3.00 per loaf, and each loaf makes 10 sandwiches.\n - Therefore, the cost per sandwich for bread is calculated as follows:\n \\[\n \\frac{3.00}{10} = \\$0.30 \\text{ per sandwich}\n \\]\n\n2. **Calculate the total cost per batch of 10 sandwiches:**\n - The cost of bread for 10 sandwiches is:\n \\[\n 10 \\times 0.30 = \\$3.00\n \\]\n - The cost for cheeses and condiments is given as $30.00 per 10 sandwiches.\n\n3. **Calculate the total cost for 10 sandwiches:**\n - The total cost per batch is the sum of the bread cost and the cheese/condiments cost:\n \\[\n 3.00 + 30.00 = \\$33.00\n \\]\n\n4. **Calculate the revenue from selling 10 sandwiches:**\n - Each sandwich is sold for $7.00, so for 10 sandwiches:\n \\[\n 10 \\times 7.00 = \\$70.00\n \\]\n\n5. **Calculate the net profit:**\n - The net profit is the revenue minus the total cost:\n \\[\n 70.00 - 33.00 = \\$37.00\n \\]\n\nTherefore, the net profit from selling 10 sandwiches is $\\boxed{\\$37.00}$.", "answer": {"result": 37}}, "matches": true} +{"solution": {"solution": "Kate has 3 boxes of 64 crayons, so she has a total of 3 * 64 = 192 crayons.\n\nSince the crayons are all worn down to small pieces, she can make muffin crayons from these pieces. She is melting 8 small pieces of crayons together at a time.\n\nTo find out how many muffin crayons she can make, we divide the total number of small pieces by the number of pieces per muffin crayon:\n\n192 small pieces / 8 pieces per muffin = 24 muffin crayons.\n\nIf she can sell each muffin crayon for $1.50, then the total amount of money she can make is:\n\n24 muffin crayons * $1.50 per muffin crayon = $36.\n\nKate can make $\\boxed{\\$36}$ from selling her crayon muffins.", "answer": {"result": 36}}, "matches": true} +{"solution": {"solution": "To calculate the total cost of replacing the carpet in Michael's bedroom, we follow these steps:\n\n1. **Calculate the area of the room**: The bedroom measures 18 feet by 12 feet. The area is calculated as:\n \\[\n \\text{Area} = \\text{Length} \\times \\text{Width} = 18 \\, \\text{feet} \\times 12 \\, \\text{feet} = 216 \\, \\text{square feet}\n \\]\n\n2. **Calculate the cost of the new carpet**: The new carpet costs $12 per square foot. Therefore, the cost for the carpet alone is:\n \\[\n \\text{Carpet Cost} = 216 \\, \\text{square feet} \\times \\$12/\\text{square foot} = \\$2592\n \\]\n\n3. **Calculate the cost of the padding**: The padding costs $2 per square foot. The cost for the padding alone is:\n \\[\n \\text{Padding Cost} = 216 \\, \\text{square feet} \\times \\$2/\\text{square foot} = \\$432\n \\]\n\n4. **Calculate the cost of removing the old carpet**: The contractor charges $4 per square foot to remove the old carpet. The cost for removal alone is:\n \\[\n \\text{Removal Cost} = 216 \\, \\text{square feet} \\times \\$4/\\text{square foot} = \\$864\n \\]\n\n5. **Calculate the cost of installing the new carpet**: The contractor charges $34 per square foot for installation. The cost for installation alone is:\n \\[\n \\text{Installation Cost} = 216 \\, \\text{square feet} \\times \\$34/\\text{square foot} = \\$7328\n \\]\n\n6. **Calculate the total cost**: To find the total cost, we add the costs of the new carpet, padding, removal, and installation:\n \\[\n \\text{Total Cost} = \\$2592 + \\$432 + \\$864 + \\$7328 = \\$10216\n \\]\n\nTherefore, the total cost for Michael to replace the carpet in his bedroom is $\\boxed{\\$10216}$.", "answer": {"result": 10216}}, "matches": false} +{"solution": {"solution": "To find the average number of birds Mack saw each day over the week, we first need to calculate the total number of birds he saw and then divide that by the number of days. \n\n1. Calculate the total number of birds seen over the seven days:\n\\[50 \\, (\\text{day one}) + 0 \\, (\\text{day two}) + 120 \\, (\\text{day three}) + 20 \\, (\\text{day four}) + 90 \\, (\\text{day five}) + 20 \\, (\\text{day six}) + 90 \\, (\\text{day seven})\\]\n\\[= 50 + 0 + 120 + 20 + 90 + 20 + 90\\]\n\\[= 490\\]\n\n2. Divide the total number of birds by the number of days to find the average:\n\\[490 \\, (\\text{total birds}) \\div 7 \\, (\\text{days}) = 70\\]\n\nTherefore, the average number of birds Mack saw per day is $\\boxed{70}$.", "answer": {"result": 70}}, "matches": false} +{"solution": {"solution": "1. **Identify the given values and initial operations:**\n - Start with the number $20$.\n - The first operation is to add half of this number to the starting value:\n \\[\n 20 + \\frac{20}{2} = 20 + 10 = 30\n \\]\n\n2. **Perform the division by 5:**\n - Divide the result from the previous step by $5$:\n \\[\n \\frac{30}{5} = 6\n \\]\n\n3. **Subtract 12 from the starting value:**\n - Subtract $12$ from the initial number $20$:\n \\[\n 20 - 12 = 8\n \\]\n\n4. **Multiply the results from steps 2 and 3:**\n - Multiply the result from step 2 by the result from step 3:\n \\[\n 6 \\times 8 = 48\n \\]\n\n### Conclusion:\nThe final value of the number train is $\\boxed{48}$.", "answer": {"result": 48}}, "matches": true} +{"solution": {"solution": "The boy has 5 cards. \nHis brother has 3 fewer cards than the boy, so the brother has 5 - 3 = 2 cards. \nTogether, they have 5 + 2 = 7 cards. \n#### 7\nThe answer is: 7", "answer": {"result": 7}}, "matches": true} +{"solution": {"solution": "To solve this problem, we need to determine the percentage by which Maggie's oven is off. We know that when she sets it to 450, the actual temperature is 468. \n\n1. **Calculate the Percentage Difference**: The difference between the set temperature and the actual temperature is $468 - 450 = 18$. To find the percentage, we divide this difference by the set temperature and multiply by 100:\n \\[\n \\frac{18}{450} \\times 100 = \\frac{18}{450} \\times 100 = \\frac{18}{4.5} = 4\n \\]\n So, the oven is off by 4%.\n\n2. **Adjust the Recipe Temperature**: Maggie's recipe calls for 520 degrees. To find the actual temperature needed in the oven, we first determine the difference from the intended set temperature of 450:\n \\[\n 520 - 450 = 70\n \\]\n Then, we calculate the actual temperature using the 4% off factor:\n \\[\n 70 \\times 0.96 = 67.2\n \\]\n\nTherefore, to achieve the equivalent of 520 degrees on Maggie's oven, she should set it to $\\boxed{67.2}$ degrees.\n\nConclusion:\nBy calculating the percentage by which the oven is off and applying this factor to the recipe's required temperature, we find that Maggie should set her oven to 67.2 degrees to approximate the desired 520 degrees.", "answer": {"result": 67.2}}, "matches": false} +{"solution": {"solution": "The first movie is 1 hour and 30 minutes long, which is equivalent to 1 x 60 + 30 = 90 minutes.\nThe second movie is 2 hours and 5 minutes long, which is equivalent to 2 x 60 + 5 = 125 minutes.\nTo find the total time, we add the lengths of both movies: 90 + 125 = 215 minutes.\nMax will need 215 minutes to watch the two movies.\n#### 215\nThe answer is: 215", "answer": {"result": 215}}, "matches": true} +{"solution": {"solution": "If Herb paid $76,000 for his house, then Juan's house is 30% less expensive, which means Juan's house is worth 70% of $76,000.\n\nTo find 70% of $76,000, we calculate:\n\n0.70 * $76,000 = $53,200\n\nThis is the value of Juan's house.\n\nNow, to find the combined value of both houses, we add the value of Juan's house to the value of Herb's house:\n\n$76,000 (Herb's house) + $53,200 (Juan's house) = $129,200\n\nTherefore, the combined value of the two houses is $\\boxed{\\$129,200}$ .", "answer": {"result": 129200}}, "matches": true} +{"solution": {"solution": "Judy bought a dozen cups, which means she bought 12 cups. \nShe also bought twice as many dishes as cups, so she bought 12 x 2 = 24 dishes. \n\nHer friend brought 40 cups and 20 more dishes than Judy, so her friend brought 24 + 20 = 44 dishes. \n\nThe total number of cups brought by both is 12 + 40 = 52 cups. \n\nThe total number of dishes brought by both is 24 + 44 = 68 dishes. \n\nThe total number of utensils brought by both is 52 + 68 = 120. \n\n#### 120\nThe answer is: 120", "answer": {"result": 120}}, "matches": true} +{"solution": {"solution": "First, let's calculate the cost of one box of contacts after the 10% discount:\n\nOriginal price of one box = $100.00\nDiscount = 10% of $100.00\nDiscount amount = 0.10 * $100.00 = $10.00\nDiscounted price of one box = $100.00 - $10.00 = $90.00\n\nNow, let's calculate the total cost for two boxes of contacts:\n\nTotal cost for two boxes = 2 * $90.00 = $180.00\n\nPete buys 2 boxes, which contain a total of 90 single-use contacts per box, so for two boxes, he has:\n\nTotal number of contacts = 90 contacts/box * 2 boxes = 180 contacts\n\nSince each pair of contacts is one use, the cost per pair is:\n\nCost per pair = Total cost for two boxes / Total number of contacts\nCost per pair = $180.00 / 180 contacts = $1.00 per pair\n\nTherefore, each pair of contacts will cost $\\boxed{\\$1.00}$ .", "answer": {"result": 1}}, "matches": false} +{"solution": {"solution": "Jill worked 2 hours on Saturday, so she earned 2 * $10 = $20 for Saturday. \n\nJill worked 1 hour on Sunday, so she earned 1 * $10 = $10 for Sunday. \n\nIn total, Jill earned $20 + $10 = $30. \n\nJohn worked twice as long as Jill on Saturday, so he worked 2 * 2 = 4 hours on Saturday. \n\nJohn worked three times as long as Jill on Sunday, so he worked 3 * 1 = 3 hours on Sunday. \n\nJohn's total hours worked is 4 + 3 = 7 hours. \n\nJohn earned 7 * $10 = $70. \n\nTo find out how much more money John earned compared to Jill, we subtract Jill's earnings from John's earnings: $70 - $30 = $40. \n\nJohn earned $\\boxed{\\$40}$ more than Jill.", "answer": {"result": 40}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total calories burned during the aerobics session:\n\n500 calories/hour * 2 hours = 1000 calories\n\nNext, let's calculate the total calories burned during the running session:\n\n600 calories/hour * 1 hour = 600 calories\n\nNow, let's find the total calories burned during both activities:\n\n1000 calories (aerobics) + 600 calories (running) = 1600 calories\n\nFinally, let's determine how much water Hannah needs to drink based on the 100 ml of water for every 200 calories:\n\n1600 calories / 200 calories = 8 groups of 200 calories\n\nSince each group of 200 calories requires 100 ml of water, we multiply the number of groups by 100 ml:\n\n8 groups * 100 ml/group = 800 ml\n\nHannah needs to drink $\\boxed{800}$ ml of water.The answer is: 800", "answer": {"result": 800}}, "matches": true} +{"solution": {"solution": "Let $r$, $b$, and $g$ represent the number of red, blue, and green jelly beans, respectively.\nWe are given that $r = 0.99b$ and $g = 1.01b$.\nWe also know that $r + b + g = 4500$.\nSubstituting the given equations into the third equation, we have $0.99b + b + 1.01b = 4500$.\nCombining like terms, we get $3.00b = 4500$.\nDividing both sides by 3.00, we find that $b = 1500$.\nSubstituting this value back into the equations $r = 0.99b$ and $g = 1.01b$, we find that $r = 1485$ and $g = 1515$.\nTherefore, the jar contains $1515 - 1485 = \\boxed{30}$ more green jelly beans than red jelly beans.The answer is: 30", "answer": {"result": 30}}, "matches": true} +{"solution": {"solution": "To find the average of the three measurements, we need to add them up and then divide by the number of measurements, which is 3.\nThe first measurement is 47 WPM, the second measurement is 52 WPM, and the third measurement (after the increase) would be 52 + 5 = 57 WPM.\nAdding these three measurements together, we get 47 + 52 + 57 = 156 WPM.\nTo find the average, we divide the sum by the number of measurements, so 156 / 3 = 52 WPM.\nThe average of the three measurements is 52 WPM.\n#### 52\nThe answer is: 52", "answer": {"result": 52}}, "matches": true} +{"solution": {"solution": "To find the difference in weight after 5 weeks, we need to calculate the total weight change for each breakfast option and then subtract the lighter option's weight change from the heavier option's weight change. \n\nFor Cheerios:\n- Weight loss per week = 1.25 pounds\n- Weight loss over 5 weeks = 1.25 pounds/week * 5 weeks = 6.25 pounds\n\nFor donuts:\n- Weight gain per week = 1.75 pounds\n- Weight gain over 5 weeks = 1.75 pounds/week * 5 weeks = 8.75 pounds\n\nNow, we calculate the difference in weight after 5 weeks:\n- Difference = Weight gain with donuts - Weight loss with Cheerios\n- Difference = 8.75 pounds - 6.25 pounds = 2.5 pounds\n\nSo, the difference in Martin's weight at the end of 5 weeks between eating Cheerios and donuts for breakfast will be $\\boxed{2.5}$ pounds.", "answer": {"result": 2.5}}, "matches": false} +{"solution": {"solution": "1. **Initial invitations**: Alex invites 100 people and each of these 100 people brings 2 additional guests. So, the number of guests brought by the initial invitees is:\n \\[\n 100 \\times 2 = 200\n \\]\n\n2. **Additional friends invited**: Alex calls 10 friends, and 8 of these friends plan to bring their spouses. So, the number of additional guests from these friends is:\n \\[\n 8 \\times 2 = 16\n \\]\n\n3. **Total number of guests**: The total number of guests is the sum of guests from initial invitees and additional friends:\n \\[\n 200 + 16 = 216\n \\]\n\n4. **Conclusion**: Alex will need 216 seats for all the guests.\n\n\\[\n\\boxed{216}\n\\]", "answer": {"result": 216}}, "matches": false} +{"solution": {"solution": "To find the weight of the Mastiff, we start by calculating the weight of each dog based on the information provided:\n\n1. The Affenpinscher weighs 10 pounds.\n2. The Dachshund weighs twice as much as the Affenpinscher, so:\n \\[\n \\text{Weight of Dachshund} = 10 \\times 2 = 20 \\text{ pounds}.\n \\]\n3. The Papillon weighs one-fourth as much as the Dachshund, so:\n \\[\n \\text{Weight of Papillon} = 20 \\div 4 = 5 \\text{ pounds}.\n \\]\n4. The Mastiff weighs 44 times the weight of the Papillon, so:\n \\[\n \\text{Weight of Mastiff} = 5 \\times 44 = 220 \\text{ pounds}.\n \\]\n\nTherefore, the Mastiff weighs $\\boxed{220}$ pounds.", "answer": {"result": 220}}, "matches": true} +{"solution": {"solution": "On Amazon, the boots cost $16 and shipping costs $4, so the total cost is $16 + $4 = $20.\n\nOn eBay, the boots cost $13 and shipping costs twice as much as on Amazon, so shipping costs 2 * $4 = $8.\n\nThe total cost on eBay is $13 + $8 = $21.\n\nTo find out how much more expensive the boots are on eBay compared to Amazon, we subtract the cost on Amazon from the cost on eBay: $21 - $20 = $1.\n\nSo, the boots are $1 more expensive on eBay.\n\n#### 1\nThe answer is: 1", "answer": {"result": 1}}, "matches": true} +{"solution": {"solution": "The beanstalk starts out at 4 feet tall, and it doubles its height every day.\nAfter 1 day, the beanstalk will be 4 * 2 = 8 feet tall.\nAfter 2 days, the beanstalk will be 8 * 2 = 16 feet tall.\nAfter 3 days, the beanstalk will be 16 * 2 = 32 feet tall.\nAfter 4 days, the beanstalk will be 32 * 2 = 64 feet tall.\nAfter 5 days, the beanstalk will be 64 * 2 = 128 feet tall.\n\nTherefore, it will take 5 days for the beanstalk to be taller than Mark's window, which is 20 feet.\n\nThe answer is: 5", "answer": {"result": 5}}, "matches": false} +{"solution": {"solution": "If 1 cup of mushrooms weighs 100 grams and has 3 grams of protein, then per gram of mushrooms John gets 3 grams of protein. \n\nIf John eats 200 grams of mushrooms every day, then per day he gets:\n200 grams * 3 grams of protein per gram = 600 grams of protein.\n\nTo find out how much protein he gets per week, we multiply the daily intake by the number of days in a week:\n600 grams of protein per day * 7 days per week = 4200 grams of protein per week.\n\nSo, John gets $\\boxed{4200}$ grams of protein per week.", "answer": {"result": 4200}}, "matches": false} +{"solution": {"solution": "1. Let's denote Jerry's current age as \\( J \\).\n2. According to the problem, Jerry's current age \\( J \\) is twice what he was 5 years ago. Therefore, we can write the equation:\n \\[\n J = 2(J - 5)\n \\]\n3. Expand and simplify the equation:\n \\[\n J = 2J - 10\n \\]\n4. Bring all terms involving \\( J \\) to one side to isolate \\( J \\):\n \\[\n J - 2J = -10\n \\]\n \\[\n -J = -10\n \\]\n5. Multiply both sides by -1 to solve for \\( J \\):\n \\[\n J = 10\n \\]\n6. In 3 years, Jerry will be \\( 10 + 3 = 13 \\) years old.\n\nConclusion:\n\\[\n\\boxed{13}\n\\]", "answer": {"result": 13}}, "matches": true} +{"solution": {"solution": "\nFirst, let's calculate the total cost of the dental work. George needs 2 implants, with a base price of $2000 each, so the cost of the implants alone is:\n\n2 * $2000 = $4000\n\nFor one of the implants, he wants a porcelain crown, which adds an extra $500. So the cost for the porcelain crown is:\n\n$500\n\nNow, let's add the cost of the porcelain crown to the total cost of the implants to find the total cost of the dental work:\n\n$4000 + $500 = $4500\n\nGeorge has already put down a deposit of $600, so we need to find out how much more he needs to pay:\n\n$4500 - $600 = $3900\n\nGeorge makes $15 per hour at work. To find out how many hours he needs to work to earn $3900, we divide the total amount needed by his hourly wage:\n\n$3900 / $15 = 260 hours\n\nTherefore, George needs to work $\\boxed{260}$ hours to pay for the dental work.", "answer": {"result": 260}}, "matches": true} +{"solution": {"solution": "\nLet's denote the smallest angle as $x$ degrees. \nAccording to the problem, one angle is twice the smallest angle, so that angle is $2x$ degrees.\nAnother angle is three times the smallest angle, so that angle is $3x$ degrees.\n\nAccording to the triangle angle sum property, the sum of the three angles is 180 degrees.\nSo we can set up the equation:\n\\[x + 2x + 3x = 180.\\]\n\nCombining like terms, we get:\n\\[6x = 180.\\]\n\nDividing both sides by 6, we find:\n\\[x = 30.\\]\n\nNow we can find the measure of the largest angle, which is $3x$:\n\\[3x = 3(30) = 90.\\]\n\nTherefore, the measure of the largest angle in the triangle is $\\boxed{90}$ degrees.The answer is: 90", "answer": {"result": 90}}, "matches": true} +{"solution": {"solution": "\n\nFirst, let's convert all the coins to cents to make it easier to calculate:\n\n- 8 quarters = 8 * 25 cents = 200 cents\n- 6 dimes = 6 * 10 cents = 60 cents\n- 14 nickels = 14 * 5 cents = 70 cents\n- 15 pennies = 15 cents\n\nNow, let's add up all the cents he has:\n\n200 cents (from quarters) + 60 cents (from dimes) + 70 cents (from nickels) + 15 cents (from pennies) = 345 cents\n\nSince each gumball costs a nickel, which is 5 cents, we can find out how many gumballs he can buy by dividing the total cents he has by the cost of one gumball:\n\n345 cents / 5 cents per gumball = 69 gumballs\n\nTherefore, Colby can buy $\\boxed{69}$ gumballs.The answer is: 69", "answer": {"result": 69}}, "matches": true} +{"solution": {"solution": "Each dog has 4 legs, so 5 dogs have 5 x 4 = 20 legs.\nEach cat has 4 legs, so 2 cats have 2 x 4 = 8 legs.\nEach bird has 2 legs, so 10 birds have 10 x 2 = 20 legs.\nIn total, the pets in the store have 20 + 8 + 20 = 48 legs.\n#### 48\nThe answer is: 48", "answer": {"result": 48}}, "matches": true} +{"solution": {"solution": "First, we calculate the new weight Jamaal intended to use after increasing the 8-pound weight by 50%. \n\nThe increase in weight is calculated as:\n\\[ 8 \\text{ pounds} \\times \\frac{50}{100} = 8 \\text{ pounds} \\times 0.5 = 4 \\text{ pounds} \\]\n\nAdding this increase to the original weight gives:\n\\[ 8 \\text{ pounds} + 4 \\text{ pounds} = 12 \\text{ pounds} \\]\n\nHowever, Jamaal finds this weight too heavy and decides to use a weight two pounds lighter. Thus, the weight he ultimately uses is:\n\\[ 12 \\text{ pounds} - 2 \\text{ pounds} = 10 \\text{ pounds} \\]\n\nTherefore, Jamaal now uses a weight of $\\boxed{10}$ pounds.", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "In the first year, Steve buys 1 game per month for 12 months, so he buys 1 * 12 = 12 games.\n\nIn the second year, Steve buys 2 games per month for 12 months, so he buys 2 * 12 = 24 games.\n\nIn the third year, Steve buys 4 games per month for 12 months, so he buys 4 * 12 = 48 games.\n\nHe also gets 5 games for Christmas each year, so over three years, he gets 5 * 3 = 15 games.\n\nAdding up all the games he buys and receives, Steve has 12 (first year) + 24 (second year) + 48 (third year) + 15 (Christmas) = $\\boxed{99}$ games in total after 3 years.", "answer": {"result": 99}}, "matches": false} +{"solution": {"solution": "To solve the problem, we start by calculating the rate of the plane. The plane travels 1200 miles in 3 hours. Therefore, the rate can be calculated as follows:\n\n- Rate = Distance / Time\n- Rate = 1200 miles / 3 hours = 400 miles per hour\n\nNext, we need to find out how many additional hours it would take to travel an extra 2000 miles at this rate. We use the formula:\n\n- Time = Distance / Rate\n- Time = 2000 miles / 400 miles per hour\n\nCalculating the time:\n\n- Time = 2000 / 400 = 5 hours\n\nTherefore, it would take an additional $\\boxed{5}$ hours to travel the additional 2000 miles.", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "Ruiz can make 120 pounds of chocolates in 2 hours, so he makes 120/2 = 60 pounds of chocolates in one hour. \n\nMarissa makes 3/4 times as many pounds of chocolates in an hour as Ruiz makes in two hours, so she makes 3/4 * 120 = 90 pounds of chocolates in an hour.\n\nIf they worked for 12 hours in a day, Ruiz would make 60 pounds/hour * 12 hours = 720 pounds of chocolates.\n\nMarissa would make 90 pounds/hour * 12 hours = 1080 pounds of chocolates.\n\nTogether, they made 720 pounds + 1080 pounds = 1800 pounds of chocolates in a day. \n\n#### 1800\nThe answer is: 1800", "answer": {"result": 1800}}, "matches": true} +{"solution": {"solution": "On Monday, Howard spends $8. \n\nOn Tuesday, he spends twice as much as he did on Monday, so he spends 2*$8 = $16.\n\nOn Wednesday, he spends 4 times as much as he spent on Tuesday, so he spends 4*$16 = $64.\n\nIn total, Howard spends $8 + $16 + $64 = $88 at the arcade over the three days.\n\nIf he originally had $100, then he has $100 - $88 = $12 left. \n\n#### 12\nThe answer is: 12", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "In the first four hours, Patrick sold 15 cups/hour x 4 hours = 60 cups of lemonade.\nAt a price of $0.50 per cup, Patrick earned 60 cups x $0.50/cup = $30 from the first four hours.\nIn the next two hours, Patrick sold 10 cups/hour x 2 hours = 20 cups of lemonade.\nAt a price of $0.60 per cup, Patrick earned 20 cups x $0.60/cup = $12 from the next two hours.\nIn total, Patrick earned $30 + $12 = $42 from selling lemonade for 6 hours.\n#### 42\nThe answer is: 42", "answer": {"result": 42}}, "matches": true} +{"solution": {"solution": "If every 2 miles a car drives the tires rotate 725 times, then for 400 miles the tires will rotate 400/2 * 725 = 145,000 times.\n\nIf each tire can undergo 10,440,000 rotations, then the tire will last for 10,440,000 / 145,000 = 72 years.\n\nSo, the tire needs to be replaced after 72 years.\n\n#### 72\nThe answer is: 72", "answer": {"result": 72}}, "matches": false} +{"solution": {"solution": "To find the cost of each pump, we first need to determine the total number of pumps in the jumbo bottle. According to the directions, 2 pumps provide 120 washings. Therefore, the total number of pumps in the bottle is:\n\n\\[2 \\text{ pumps} \\times 60 \\text{ washings/pump} = 120 \\text{ washings}\\]\n\nGiven that there are 120 washings in the bottle and each washing requires 1 pump, the total number of pumps in the bottle is:\n\n\\[120 \\text{ washings} \\div 1 \\text{ pump/washing} = 120 \\text{ pumps}\\]\n\nNow, to find the cost per pump, we divide the total cost of the bottle by the total number of pumps:\n\n\\[24.00 \\text{ dollars} \\div 120 \\text{ pumps} = 0.20 \\text{ dollars/pump}\\]\n\nSince we need the cost in cents, we convert dollars to cents by multiplying by 100:\n\n\\[0.20 \\text{ dollars/pump} \\times 100 = 20 \\text{ cents/pump}\\]\n\nTherefore, the cost of each pump, in cents, is $\\boxed{20}$.", "answer": {"result": 20}}, "matches": false} +{"solution": {"solution": "First, let's calculate the discount on the shirt. The discount is 30% of $25, so we multiply $25 by 30% (or 0.30):\n\n$25 * 0.30 = $7.50\n\nNow, subtract the discount from the original price of the shirt to find the sale price:\n\n$25 - $7.50 = $17.50\n\nNext, let's calculate the total cost of the outfit by adding the sale price of the shirt and the price of the shorts:\n\n$17.50 (shirt) + $35 (shorts) = $52.50\n\nSince Joe has $50 and the total cost of the outfit is $52.50, he does not have enough money to make the purchase. Therefore, Joe will not be able to buy the outfit with the money he has.\n\nFinal answer: Joe does not have enough money to buy the outfit.\n\n[/SOLUTION]", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "Juan wants to make 4 dozen croissants a day for a week, so he will make 4 x 7 = 28 dozen croissants in total.\nSince it takes 1/4 pound of butter to make 1 dozen croissants, Juan will need 28 x 1/4 = 7 pounds of butter to make these croissants.\n#### 7\nThe answer is: 7", "answer": {"result": 7}}, "matches": true} +{"solution": {"solution": "To find the cost of repaving Monica's street, we multiply the cost per meter by the length of the street: $194 \\times 150 = \\$29,100$.\n\nTo find the cost of repaving Lewis' street, we multiply the cost per meter by the length of the street: $194 \\times 490 = \\$95,060$.\n\nTo find the difference in cost between repaving Lewis' and Monica's streets, we subtract the cost of Monica's street from the cost of Lewis' street: $95,060 - 29,100 = \\$65,960$.\n\nThus, it costs $\\$65,960$ more to repave Lewis' street compared to Monica's street.\n\nThe final answer is $\\boxed{\\$65,960}$.The answer is: 65,960", "answer": {"result": 65960}}, "matches": true} +{"solution": {"solution": "For the first 5 months of research, John received $100,000.\n\nFor the next 5 months (5 x 10 = 50 months), the funding doubled, so each month he received $100,000 * 2 = $200,000.\n\nFor the remaining duration of his research, which is 50 months, each month took 50% more funding than the initial 5 months. This means each month he received $100,000 + ($100,000 * 50%) = $100,000 + $50,000 = $150,000.\n\nNow, let's calculate the total cost for each period:\n\n- For the first 5 months: $100,000 * 5 = $500,000\n- For the next 50 months: $200,000 * 50 = $10,000,000\n- For the remaining 50 months: $150,000 * 50 = $7,500,000\n\nAdding these together gives us the total cost of John's research:\n\n$500,000 (initial 5 months) + $10,000,000 (next 50 months) + $7,500,000 (remaining 50 months) = $18,000,000\n\nJohn's research cost $\\boxed{\\$18,000,000}$ .", "answer": {"result": 18000000}}, "matches": false} +{"solution": {"solution": "The first player ate a 6-ounce steak.\n\nThe second player ate 8 beef tips, each an ounce in size, so a total of 8 ounces.\n\nThe third player ate a one-pound steak, which is equal to 16 ounces.\n\nThe fourth and fifth players ordered vegetarian meals, so they did not consume any meat.\n\nIn total, the team consumed 6 ounces (first player) + 8 ounces (second player) + 16 ounces (third player) = $\\boxed{30}$ ounces of meat.The answer is: 30", "answer": {"result": 30}}, "matches": true} +{"solution": {"solution": "There are 31 days in March, so the number of posts per day is 1000 members x 3 posts/member = 3000 posts per day.\nTherefore, the total number of posts in March is 3000 posts/day x 31 days = 93,000 posts.\n#### 93000\nThe answer is: 93000", "answer": {"result": 93000}}, "matches": true} +{"solution": {"solution": "First, calculate the amount of water used per week for laundry: \n2 loads/week \u00d7 20 gallons/load = 40 gallons/week\n\nNext, calculate the amount of water used per year:\n40 gallons/week \u00d7 52 weeks/year = 2080 gallons/year\n\nNow, calculate the cost of water for laundry per year:\n2080 gallons/year \u00d7 $0.15/gallon = $312\n\nGary spends $\\boxed{\\$312}$ on water for laundry in a year.", "answer": {"result": 312}}, "matches": true} +{"solution": {"solution": "Scarlett bought 2 bags of rocks for $2.50 each, so she spent 2 * $2.50 = $5.00 on rocks.\nShe also bought 3 pieces of coral at $2.00 apiece, so she spent 3 * $2.00 = $6.00 on coral.\nShe bought 20 fish at $0.50 each, so she spent 20 * $0.50 = $10.00 on fish.\nShe also bought fish food that cost $2.00.\nSo in total, Scarlett spent $5.00 + $6.00 + $10.00 + $2.00 = $23.00.\n#### 23\nThe answer is: 23", "answer": {"result": 23}}, "matches": false} +{"solution": {"solution": "After the first week, the beanstalk was 3 inches tall. \nIn the second week, it doubled in height, so it grew to 3 inches x 2 = 6 inches tall. \nIn the third week, it grew another 4 inches, so it grew to 6 inches + 4 inches = 10 inches tall. \nTherefore, the beanstalk was 10 inches tall after 3 weeks. \n#### 10\nThe answer is: 10", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "Prince sells 15kg of meat every hour, and he works 10 hours a day, so he sells 15kg/hour * 10 hours = 150kg of meat each day. \n\nBill's bull weighs 750kg, so it will take Prince 750kg / 150kg/day = 5 days to sell the meat from the bull. \n\n#### 5\nThe answer is: 5", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "\n1. **Calculate the total number of seats in the auditorium:**\n\n The auditorium has 4 rows with 18 seats in each row. Therefore, the total number of seats in the auditorium is:\n \\[\n 4 \\text{ rows} \\times 18 \\text{ seats/row} = 72 \\text{ seats}\n \\]\n\n2. **Determine the number of seats occupied by administrators:**\n\n One-fourth of the seats were occupied by administrators. Thus, the number of seats occupied by administrators is:\n \\[\n \\frac{1}{4} \\times 72 = 18 \\text{ seats}\n \\]\n\n3. **Find the number of seats remaining after administrators' occupation:**\n\n The remaining seats are:\n \\[\n 72 \\text{ seats} - 18 \\text{ seats} = 54 \\text{ seats}\n \\]\n\n4. **Calculate the number of seats occupied by parents:**\n\n One-third of the remaining seats were occupied by parents. Therefore, the number of seats occupied by parents is:\n \\[\n \\frac{1}{3} \\times 54 = 18 \\text{ seats}\n \\]\n\n5. **Determine the number of seats left for students:**\n\n After the seats for administrators and parents, the number of seats left for students is:\n \\[\n 54 \\text{ seats} - 18 \\text{ seats} = 36 \\text{ seats}\n \\]\n\n6. **Conclusion:**\n\n The number of students in the auditorium is:\n \\[\n \\boxed{36}\n \\]", "answer": {"result": 36}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total number of street lights in one intersection. Since each pole has 4 street lights and there are 6 poles at each intersection, we multiply:\n\n6 poles * 4 street lights per pole = 24 street lights per intersection\n\nNext, we calculate the total number of street lights for all 4 intersections:\n\n24 street lights per intersection * 4 intersections = 96 street lights total\n\nNow, we subtract the number of non-functioning street lights:\n\n96 total street lights - 20 non-functioning street lights = 76 functioning street lights\n\nSo, the total number of functioning street lights is 76.\n\n#### 76\nThe answer is: 76", "answer": {"result": 76}}, "matches": true} +{"solution": {"solution": "\nTo find out the total number of times both DVDs can be played before they break, we need to calculate the remaining lifespan of each DVD and then add those together.\n\n1. **Calculate the remaining lifespan of the first DVD**:\n - The first DVD has been played 356 times.\n - The lifespan of a DVD is 1000 plays.\n - Therefore, the remaining lifespan of the first DVD is:\n \\[\n 1000 - 356 = 644 \\text{ plays}\n \\]\n\n2. **Calculate the remaining lifespan of the second DVD**:\n - The second DVD has been played 135 times.\n - The lifespan of a DVD is 1000 plays.\n - Therefore, the remaining lifespan of the second DVD is:\n \\[\n 1000 - 135 = 865 \\text{ plays}\n \\]\n\n3. **Sum the remaining lifespans to find the total plays before both DVDs break**:\n - The total number of remaining plays for both DVDs is:\n \\[\n 644 + 865 = 1509 \\text{ plays}\n \\]\n\n### Conclusion:\n\nThe total number of times both DVDs can be played before they break is:\n\n\\[\n\\boxed{1509}\n\\]", "answer": {"result": 1509}}, "matches": true} +{"solution": {"solution": "John went to physical therapy for 6 weeks. \n\nEach week he went twice for 2 hours at a time. \n\nSo, in total, he went for 6 weeks * 2 sessions per week = 12 sessions. \n\nEach session was 2 hours long. \n\nThe cost per hour of the physical therapy is $125. \n\nTherefore, the total cost for each session is 2 hours * $125 per hour = $250. \n\nSince he had 12 sessions, the total cost for the physical therapy is 12 sessions * $250 per session = $3000. \n\n#### 3000\nThe answer is: 3000", "answer": {"result": 3000}}, "matches": true} +{"solution": {"solution": "Jim is at school for 8 hours and chews 1 piece of gum every 2 hours, so he chews 8/2 = 4 pieces of gum during school hours.\nHe also chews 1 piece on the way home from school and 1 stick after dinner, so he chews 4 + 1 + 1 = 6 pieces of gum in total.\nJim starts with a 20 pack of gum and chews 6 pieces, so he has 20 - 6 = 14 pieces of gum remaining.\nHe gives half of his remaining gum to his sister, so he gives away 14/2 = 7 pieces of gum.\nTherefore, Jim has 14 - 7 = 7 pieces of gum left at the end of the day.\n#### 7\nThe answer is: 7", "answer": {"result": 7}}, "matches": true} +{"solution": {"solution": "\n\nCharmaine will be 16 years old in 12 years, so currently she is 16 - 12 = 4 years old. \n\n4 years from now, she will be 4 + 4 = 8 years old. \n\n#### 8\nThe answer is: 8", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "The baseball coach spent 9 * $3 = $27 on baseballs.\n\nThe basketball coach spent 8 * $14 = $112 on basketballs.\n\nThe difference in spending between the basketball coach and the baseball coach is $112 - $27 = $85. \n\nTherefore, the basketball coach spent $\\boxed{\\$85}$ more than the baseball coach.", "answer": {"result": 85}}, "matches": true} +{"solution": {"solution": "If there are 10 rows with 20 flowers in each row, then there are a total of 10 * 20 = 200 flowers in the garden.\n\nIf only 4/5 of the planted flowers have bloomed, then the number of bloomed flowers is 4/5 * 200 = 160.\n\nTherefore, 160 flowers in Arianna's garden have bloomed.\n\nAnswer: \\boxed{160}", "answer": {"result": 160}}, "matches": true} +{"solution": {"solution": "\nAshley's internet connection speed is 20 kb per second.\nTo convert this to Mb per second, we need to divide by 1000 (since 1 Mb = 1000 kb).\n20 kb/second \u00f7 1000 = 0.02 Mb/second.\nTo convert this to Mb per hour, we need to multiply by the number of seconds in an hour.\nThere are 60 seconds in a minute and 60 minutes in an hour, so there are 60 * 60 = 3600 seconds in an hour.\n0.02 Mb/second * 3600 seconds/hour = 72 Mb/hour.\nTherefore, Ashley's internet connection speed is 72 Mb per hour.\n#### 72\nThe answer is: 72", "answer": {"result": 72}}, "matches": true} +{"solution": {"solution": "1. Calculate the number of cars towed on the first three days:\n \\[\n 10 \\text{ cars/day} \\times 3 \\text{ days} = 30 \\text{ cars}\n \\]\n\n2. Determine the new number of cars towed per day for the remaining days of the week:\n \\[\n 10 \\text{ cars/day} - 4 = 6 \\text{ cars/day}\n \\]\n\n3. Find the total number of days in a week:\n \\[\n 7 \\text{ days}\n \\]\n\n4. Calculate the number of cars towed for the remaining days:\n \\[\n 6 \\text{ cars/day} \\times (7 - 3) = 6 \\times 4 = 24 \\text{ cars}\n \\]\n\n5. Sum the cars towed over the entire week:\n \\[\n 30 \\text{ cars} + 24 \\text{ cars} = 54 \\text{ cars}\n \\]\n\nConclusion:\nThe tow truck towed a total of $\\boxed{54}$ cars that week.", "answer": {"result": 54}}, "matches": true} +{"solution": {"solution": "To find out how many years until Adam is tall enough to ride the roller coaster, we need to determine how many more inches he needs to grow to reach the required height of 4 feet (48 inches). \n\nFirst, we calculate the difference in height needed:\n\n\\[48 \\text{ inches} - 40 \\text{ inches} = 8 \\text{ inches}\\]\n\nAdam grows 2 inches each year, so we divide the total inches he needs to grow by the inches he grows each year to find out how many years it will take:\n\n\\[8 \\text{ inches} / 2 \\text{ inches/year} = 4 \\text{ years}\\]\n\nTherefore, it will take Adam $\\boxed{4}$ years to grow enough to be tall enough to ride the biggest roller coaster.", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "First, let's calculate the cost the company paid for each car:\n\nCost per car = 30% of $25,000\nCost per car = 0.30 * $25,000\nCost per car = $7,500\n\nNow, let's calculate the profit per car:\n\nProfit per car = Selling price - Cost price\nProfit per car = $25,000 - $7,500\nProfit per car = $17,500\n\nNext, let's calculate the total profit from selling all 10 cars:\n\nTotal profit = Profit per car * Number of cars\nTotal profit = $17,500 * 10\nTotal profit = $175,000\n\nNow, let's calculate James's commission:\n\nCommission = 10% of Total profit\nCommission = 0.10 * $175,000\nCommission = $17,500\n\nJames made $\\boxed{\\$17,500}$ from commissions.", "answer": {"result": 17500}}, "matches": true} +{"solution": {"solution": "1. Calculate the number of riders who can stay upright on the wave when it is over 30 feet:\n \\[\n 100 \\times 0.25 = 25 \\text{ riders}\n \\]\n\n2. Determine the number of women who can stay upright:\n \\[\n 25 \\times 0.60 = 15 \\text{ women}\n \\]\n\n3. Calculate the number of men who can stay upright by subtracting the number of women from the total number of riders who can stay upright:\n \\[\n 25 - 15 = 10 \\text{ men}\n \\]\n\nConclusion:\nThe number of men who can stay upright on the wave is \\(\\boxed{10}\\).", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "\nIf a diamond Jewell is $2000, then the price of a gold Jewell is 4/5 * $2000 = $1600.\n\nThe cost of a silver Jewell is $400 less than the price of gold, so it is $1600 - $400 = $1200.\n\nThe total price for all three jewels is $2000 + $1600 + $1200 = $4800.\n\n#### 4800\nThe answer is: 4800", "answer": {"result": 4800}}, "matches": true} +{"solution": {"solution": "Max bought 16 snowflake stamps. \n\nHe bought 3 more truck stamps than snowflake stamps, so he bought 16 + 3 = 19 truck stamps.\n\nHe bought 9 fewer rose stamps than truck stamps, so he bought 19 - 9 = 10 rose stamps.\n\nIn total, Max bought 16 (snowflake) + 19 (truck) + 10 (rose) = $\\boxed{45}$ stamps.", "answer": {"result": 45}}, "matches": true} +{"solution": {"solution": "To solve this problem, we start by understanding the relative speed at which Tom is catching up to Bob. Since Bob is driving at 55 miles per hour and Tom is driving at 70 miles per hour, the relative speed is the difference in their speeds. This is calculated as:\n\n\\[70 \\, \\text{mph} - 55 \\, \\text{mph} = 15 \\, \\text{mph}.\\]\n\nThis means Tom is gaining on Bob at a rate of 15 miles per hour.\n\nNext, we need to determine how long it will take Tom to cover the 75-mile gap at this relative speed. We can find the time by dividing the distance by the relative speed:\n\n\\[ \\text{Time} = \\frac{\\text{Distance}}{\\text{Relative Speed}} = \\frac{75 \\, \\text{miles}}{15 \\, \\text{mph}} = 5 \\, \\text{hours}.\\]\n\nTherefore, it will take Tom $\\boxed{5}$ hours to catch up with Bob.The answer is: 5", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "If Naomi caught 17 fish, Darren caught 17 - 6 = 11 fish.\nTommy caught 11 + 3 = 14 fish.\n#### 14\nThe answer is: 14", "answer": {"result": 14}}, "matches": true} +{"solution": {"solution": "\n\nTo solve this problem, we first calculate the total amount his parents will pay for the classes. Manny signed up for $60 worth of classes. \n\nNext, we determine the maximum amount that can be spent per class without his parents deciding not to sign him up again. This amount is given as $10 per class. \n\nTo find out how many classes can be missed without exceeding the parents' budget, we divide the total amount they will pay by the maximum amount per class. This calculation is as follows:\n\n\\[ \\text{Total amount} = \\$60 \\]\n\\[ \\text{Maximum amount per class} = \\$10 \\]\n\\[ \\text{Number of classes} = \\frac{\\text{Total amount}}{\\text{Maximum amount per class}} = \\frac{\\$60}{\\$10} = 6 \\]\n\nTherefore, Manny can miss up to $6$ classes without his parents deciding not to sign him up for the classes again.\n\nSo, the final answer, encapsulated as required, is $\\boxed{6}$.", "answer": {"result": 6}}, "matches": false} +{"solution": {"solution": "1. **Understanding the relationship**: Julie processes cash at twice the speed of Jewel.\n2. **Calculate Jewel's daily customers**: Jewel processes 50 customers daily.\n3. **Calculate Julie's daily customers**: Since Julie is twice as fast as Jewel, Julie processes \\(2 \\times 50 = 100\\) customers daily.\n4. **Calculate total daily customers**: Combined daily processing of both is \\(50 + 100 = 150\\) customers.\n5. **Calculate weekly production**: Over seven days, the total is \\(150 \\times 7 = 1050\\) customers.\n\n\\[\n\\boxed{1050}\n\\]", "answer": {"result": 1050}}, "matches": true} +{"solution": {"solution": "To solve the problem, let's break it down step by step, following the information given:\n\n1. **Paisley's Run**: It's stated that Paisley ran 4 miles.\n\n2. **Reggie's Run**: Reggie ran 5 times what Paisley ran. Since Paisley ran 4 miles, we calculate Reggie's run as:\n \\[\n \\text{Reggie's run} = 5 \\times 4 = 20 \\text{ miles}\n \\]\n\n3. **Reggie's Run in Relation to Lynn**: It's also mentioned that Reggie ran 3 miles farther than Lynn. To find Lynn's distance, we subtract 3 miles from Reggie's total:\n \\[\n \\text{Lynn's run} = \\text{Reggie's run} - 3 = 20 - 3 = 17 \\text{ miles}\n \\]\n\nTherefore, Lynn ran $\\boxed{17}$ miles.", "answer": {"result": 17}}, "matches": true} +{"solution": {"solution": "\nTo find out how much Clyde will pay for 5 apples and 5 oranges, we need to calculate the cost of each fruit individually and then sum them up.\n\n1. First, let's determine the cost of one apple:\n Given that four apples cost $5.20, the cost of one apple is:\n \\[\n \\frac{5.20}{4} = 1.30 \\text{ dollars per apple}\n \\]\n\n2. Next, let's determine the cost of one orange:\n Given that three oranges cost $3.30, the cost of one orange is:\n \\[\n \\frac{3.30}{3} = 1.10 \\text{ dollars per orange}\n \\]\n\n3. Now, let's calculate the total cost for 5 apples:\n \\[\n 5 \\times 1.30 = 6.50 \\text{ dollars}\n \\]\n\n4. Then, let's calculate the total cost for 5 oranges:\n \\[\n 5 \\times 1.10 = 5.50 \\text{ dollars}\n \\]\n\n5. Finally, sum the costs of apples and oranges to find the total amount Clyde will pay:\n \\[\n 6.50 + 5.50 = 12.00 \\text{ dollars}\n \\]\n\n### Conclusion:\nClyde will pay a total of $\\boxed{12.00}$ dollars for 5 apples and 5 oranges.", "answer": {"result": 12.0}}, "matches": true} +{"solution": {"solution": "1. **Calculate the volume of the hole**:\n The volume \\( V \\) of a rectangular prism (hole in this context) is given by the formula:\n \\[\n V = \\text{length} \\times \\text{width} \\times \\text{height}\n \\]\n Substitute the given dimensions into the formula:\n \\[\n V = 6 \\, \\text{feet} \\times 4 \\, \\text{feet} \\times 3 \\, \\text{feet} = 72 \\, \\text{cubic feet}\n \\]\n\n2. **Determine the time required to dig the hole**:\n Bob shovels at a rate of 1 cubic foot per 3 seconds. To find the total time \\( t \\) required to dig 72 cubic feet:\n \\[\n t = \\frac{\\text{total volume}}{\\text{shoveling rate}}\n \\]\n Plug in the values:\n \\[\n t = \\frac{72 \\, \\text{cubic feet}}{1 \\, \\text{cubic foot per 3 seconds}} = 72 \\times 3 \\, \\text{seconds} = 216 \\, \\text{seconds}\n \\]\n\n3. **Conclusion**:\n It will take Bob 216 seconds to dig the hole.\n\n\\[\n\\boxed{216 \\, \\text{seconds}}\n\\]", "answer": {"result": 216}}, "matches": true} +{"solution": {"solution": "The king cab upgrade is an extra $7,500, so the total cost of the truck is now $30,000 + $7,500 = $37,500.\nThe leather seats are one-third the cost of the king cab upgrade, so they cost $7,500 / 3 = $2,500.\nThe running boards are $500 less than the leather seats, so they cost $2,500 - $500 = $2,000.\nThe upgraded exterior light package is $1,500.\nTo find the total cost, we need to add up the cost of all the features: $37,500 + $2,500 + $2,000 + $1,500 = $43,500.\nTherefore, the total cost of Bill's new truck is $43,500.\n#### 43500\nThe answer is: 43500", "answer": {"result": 43500}}, "matches": true} +{"solution": {"solution": "Tim's raise is worth 5% of his $20000 salary, which is 5/100 * $20000 = $1000.\n\nHis new salary will be $20000 + $1000 = $21000 per month.\n\nHis bonus is worth half a month's salary, which is 1/2 * $20000 = $10000.\n\nSo, his total monthly income is now $21000 + $10000 = $31000.\n\nTo find out how much he will make in a year, we multiply his monthly income by 12: $31000 * 12 = $372000.\n\nTim will make $\\boxed{\\$372000}$ in a year.", "answer": {"result": 372000}}, "matches": false} +{"solution": {"solution": "The suits cost $750 each, so 10 suits would cost 10 * $750 = $7500.\n\nThe dress pants cost 1/5 the cost of the suits, so 10 dress pants would cost 10 * (1/5 * $750) = $1500.\n\nJames buys 3 dress shirts per suit, so he buys 3 * 10 = 30 dress shirts.\n\nThe dress shirts cost $60 each, so 30 dress shirts would cost 30 * $60 = $1800.\n\nAdding up the costs of the suits, dress pants, and dress shirts, the total cost is $7500 + $1500 + $1800 = $\\boxed{\\$10800}$ .", "answer": {"result": 10800}}, "matches": true} +{"solution": {"solution": "\n1. On average, the first news website publishes 20 political and weather news articles per day.\n2. The sister company publishes 10 business news articles per day.\n3. To find the total number of articles published by the two websites together in one day, we add the number of articles from both sources:\n \\[\n 20 \\text{ (political and weather articles)} + 10 \\text{ (business articles)} = 30 \\text{ articles per day}\n \\]\n4. Given that February has 28 days, we multiply the daily total by the number of days in February to find the total number of articles published over the entire month:\n \\[\n 30 \\text{ articles per day} \\times 28 \\text{ days} = 840 \\text{ articles}\n \\]\n\n### Conclusion:\nThe two news websites published a total of:\n\\[\n\\boxed{840 \\text{ articles}}\n\\]", "answer": {"result": 840}}, "matches": true} +{"solution": {"solution": "\nSteve is 60 years old.\nHis wife is 4 years older than him, so she is 60 + 4 = 64 years old.\nTheir son is currently half as old as his mom, so he is 64 / 2 = 32 years old.\nSteve's son's wife is 3 years younger than her husband, so she is 32 - 3 = 29 years old.\n#### 29\nThe answer is: 29", "answer": {"result": 29}}, "matches": true} +{"solution": {"solution": "\n1. Each bag of flour is divided into 8 equal portions, each weighing 2 kilograms.\n2. To find the total initial weight of one bag of flour, we multiply the weight of one portion by the number of portions:\n \\[\n \\text{Weight of one bag} = 2 \\text{ kg/portion} \\times 8 \\text{ portions} = 16 \\text{ kg}\n \\]\n3. We are given that there are three such bags. To find the total weight of flour in three bags, we multiply the weight of one bag by 3:\n \\[\n \\text{Total weight of three bags} = 16 \\text{ kg/bag} \\times 3 \\text{ bags} = 48 \\text{ kg}\n \\]\n\nConclusion:\n\\[\n\\boxed{48 \\text{ kg}}\n\\]", "answer": {"result": 48}}, "matches": true} +{"solution": {"solution": "To find the total distance biked by Alisa and Stanley, we calculate the distance each person biked and then sum these distances.\n\nFor Alisa:\n- She biked at a speed of 12 miles per hour for 4.5 hours.\n- The total distance she biked is calculated as $12 \\times 4.5 = 54$ miles.\n\nFor Stanley:\n- He biked at a speed of 10 miles per hour for 2.5 hours.\n- The total distance he biked is calculated as $10 \\times 2.5 = 25$ miles.\n\nAdding the distances biked by both Alisa and Stanley gives us the total distance:\n- Total distance = Alisa's distance + Stanley's distance = $54 + 25 = 79$ miles.\n\nTherefore, the total distance biked by Alisa and Stanley together is $\\boxed{79}$ miles.", "answer": {"result": 79}}, "matches": true} +{"solution": {"solution": "Bill can dig 4 feet/hour through soil, so it will take him 24 / 4 = 6 hours to dig through the soil.\nHe can dig half that fast through clay, so he can dig 4 / 2 = 2 feet/hour through clay.\nIt will take him 8 / 2 = 4 hours to dig through the clay.\nTherefore, it will take Bill a total of 6 + 4 = 10 hours to dig the well.\n#### 10\nThe answer is: 10", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "Howie wants to buy 2 cupcakes for each of the following: himself, his teacher, and his 25 classmates. \n\nFor himself: 2 cupcakes\nFor his teacher: 2 cupcakes\nFor his classmates: 25 classmates * 2 cupcakes each = 50 cupcakes\n\nNow, add up all the cupcakes:\n\n2 (for Howie) + 2 (for his teacher) + 50 (for his classmates) = 54 cupcakes\n\nHowie should buy $\\boxed{54}$ cupcakes in total. The answer is 54", "answer": {"result": 54}}, "matches": true} +{"solution": {"solution": "1. We start by understanding the given information:\n - Fishio received 2000 likes on her selfie after 1 week.\n - Three weeks later, the number of likes was 70 times as large as the initial number of likes.\n - She received an additional 20,000 likes recently.\n\n2. Calculate the number of likes three weeks after:\n \\[\n 70 \\times 2000 = 140000 \\text{ likes}\n \\]\n\n3. Add the recent 20,000 likes to the number of likes three weeks after:\n \\[\n 140000 + 20000 = 160000 \\text{ likes}\n \\]\n\n4. Add the initial 2000 likes to find the total number of likes:\n \\[\n 2000 + 160000 = 162000 \\text{ likes}\n \\]\n\n### Conclusion:\nThe total number of Instagram likes Fishio's selfie received is:\n\\[\n\\boxed{162000}\n\\]", "answer": {"result": 162000}}, "matches": true} +{"solution": {"solution": "\nOn Tuesday, Clara bought 20 pomegranates at $20 each. The total cost before the voucher was:\n\\[20 \\times 20 = \\$400\\]\n\nShe got a $2 voucher off, so the final cost for Clara on Tuesday was:\n\\[\\$400 - \\$2 = \\$398\\]\n\nThe next day, the price of each pomegranate was $30. The total cost for 20 pomegranates without any discount would be:\n\\[20 \\times 30 = \\$600\\]\n\nHowever, the store offered a 10% discount on the total cost. The discount amount is:\n\\[10\\% \\times \\$600 = \\$60\\]\n\nSo, the final cost for Sheila on Wednesday, after the discount, is:\n\\[\\$600 - \\$60 = \\$540\\]\n\nThe difference in the final prices paid for the pomegranates on the two days is:\n\\[\\$540 - \\$398 = \\$142\\]\n\nAnswer: $142$", "answer": {"result": 142}}, "matches": true} +{"solution": {"solution": "1. **Determine the total sales for green hats in the first month**: Since Ariadne's sales from red hats were $400, and this amount is half of what she earned from green hats, we calculate the sales from green hats as:\n \\[\n \\text{Sales from green hats in the first month} = 2 \\times \\text{Sales from red hats} = 2 \\times 400 = 800 \\text{ dollars}\n \\]\n\n2. **Calculate the total sales for the first month**: Adding the sales from both red and green hats, we get:\n \\[\n \\text{Total sales in the first month} = \\text{Sales from red hats} + \\text{Sales from green hats} = 400 + 800 = 1200 \\text{ dollars}\n \\]\n\n3. **Determine the sales for the second month**: According to the problem, her sales in the second month were 3/4 of the sales in the first month. Thus:\n \\[\n \\text{Sales in the second month} = \\frac{3}{4} \\times \\text{Total sales in the first month} = \\frac{3}{4} \\times 1200 = 900 \\text{ dollars}\n \\]\n\n4. **Calculate the total sales over the two months**: Summing the sales from both months:\n \\[\n \\text{Total sales over two months} = \\text{Sales in the first month} + \\text{Sales in the second month} = 1200 + 900 = 2100 \\text{ dollars}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{2100}\n\\]", "answer": {"result": 2100}}, "matches": true} +{"solution": {"solution": "James gets 1 hour free, so he only needs to pay for 4 hours.\nThe first paid hour is $15, so James pays $15 for the first hour.\nFor each hour after that, the cost is twice the previous hour, so the second hour costs $15 x 2 = $30.\nThe third hour costs $30 x 2 = $60.\nThe fourth hour costs $60 x 2 = $120.\nTherefore, James pays a total of $15 + $30 + $60 + $120 = $225.\n#### 225\nThe answer is: 225", "answer": {"result": 225}}, "matches": false} +{"solution": {"solution": "Sally's bank account started with $200 and ended with $420. To find out how much money was added to her account, we calculate the difference:\n\n\\[\n420 - 200 = 220\n\\]\n\nThis $220 represents the total amount of money deposited into Sally's account, including her wage and any other possible deposits.\n\nSally's weekly wage is $300. To find out how much of her wage was withheld, we subtract the total amount deposited from her expected wage:\n\n\\[\n300 - 220 = 80\n\\]\n\nTherefore, $\\boxed{80}$ dollars were withheld from Sally's wage. The answer is consistent with the calculations and the problem setup.", "answer": {"result": 80}}, "matches": true} +{"solution": {"solution": "Lori needs 1 whole egg to make 2 deviled egg halves, so she needs 1/2 egg per deviled egg half.\n\nEach guest will eat 3 deviled egg halves, so Lori will need 3 * 1/2 = 1.5 eggs per guest.\n\nLori is inviting 16 guests, so she will need 16 * 1.5 = 24 eggs in total.\n\nSince there are 12 eggs in a dozen, Lori will need 24 / 12 = $\\boxed{2}$ dozens of eggs.The answer is: 2", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "Sheila has already finished writing 1/3 of the paper, which means she has completed 15 * 1/3 = 5 pages.\nShe is required to submit a 15-page paper, so she has 15 - 5 = 10 pages left to write.\n#### 10\nThe answer is: 10", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "Mike plans to read 10 pages a day, and the book has 200 pages. \n\nTo find out how many days it will take him to finish reading, we divide the total number of pages by the number of pages he reads per day:\n\n200 pages \u00f7 10 pages/day = 20 days\n\nSo, Mike will finish reading the book in 20 days. \n\nIf the assignment is due in 30 days, we subtract the number of days Mike needs from the total number of days given:\n\n30 days - 20 days = 10 days\n\nMike will finish his reading 10 days before the deadline.\n\nThe final answer is $\\boxed{10}$ days.", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "To calculate the total cost of getting and maintaining the plane for the first year, we break down the costs into initial purchase, monthly hanger rental, and monthly fuel expenses.\n\n1. **Initial Purchase Cost**: James bought the plane for $150,000.\n\n2. **Monthly Hanger Rental**: He pays $5,000 per month for the hanger. Over a year (12 months), the total hanger rental cost is calculated as:\n \\[\n 12 \\times 5,000 = \\$60,000\n \\]\n\n3. **Monthly Fuel Expense**: The fuel cost is twice the hanger rental, which is $10,000 per month. Over a year, the total fuel expense is:\n \\[\n 12 \\times 10,000 = \\$120,000\n \\]\n\n4. **Total Annual Cost**: Adding up the initial purchase, hanger rental, and fuel expenses for the year gives us the total cost:\n \\[\n 150,000 + 60,000 + 120,000 = \\$330,000\n \\]\n\nTherefore, the total cost for James to get and maintain the plane for the first year is $\\boxed{\\$330,000}$.", "answer": {"result": 330000}}, "matches": true} +{"solution": {"solution": "First, we know that it took Finley 30 minutes to cook rice. \n\nNext, we know that pork took 20 more minutes than rice, so pork took 30 + 20 = 50 minutes to cook.\n\nThe beans took half the combined cooking time of pork and rice. The combined cooking time of pork and rice is 50 + 30 = 80 minutes.\n\nSo, the beans took 80 / 2 = 40 minutes to cook.\n\nFinally, to find the total cooking time for all the food, we add the cooking times for rice, pork, and beans: 30 + 50 + 40 = 120 minutes.\n\nSo, it took Finley 120 minutes to cook all the food.\n\n#### 120\nThe answer is: 120", "answer": {"result": 120}}, "matches": true} +{"solution": {"solution": "First, let's calculate the cost of each mixture separately.\n\nFor the first mixture of 1/2 pound almonds and 1/3 pound walnuts:\nCost of almonds = 1/2 pound * $10/pound = $5\nCost of walnuts = 1/3 pound * $15/pound = $5\nTotal cost of the first mixture = $5 (almonds) + $5 (walnuts) = $10\n\nFor the second mixture of 1/5 pound almonds and 1/3 pound walnuts:\nCost of almonds = 1/5 pound * $10/pound = $2\nCost of walnuts = 1/3 pound * $15/pound = $5\nTotal cost of the second mixture = $2 (almonds) + $5 (walnuts) = $7\n\nNow, let's find the difference in cost between the two mixtures:\nDifference in cost = Cost of first mixture - Cost of second mixture\nDifference in cost = $10 - $7 = $3\n\nTherefore, it costs $\\boxed{\\$3}$ more for the mixture of 1/2 pound almonds and 1/3 pound walnuts than the mixture of 1/5 pound almonds and 1/3 pound walnuts.The answer is: 3", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "Each sheep has 4 legs and 1 head, and each goose has 2 legs and 1 head.\nLet's assume the number of sheep is S and the number of geese is G.\nThe total number of animal legs can be represented by 4S + 2G.\nThe total number of animal heads can be represented by S + G.\nWe are given that the total number of animal legs is 70, so 4S + 2G = 70.\nWe are also given that the total number of animal heads is 20, so S + G = 20.\nWe can solve this system of equations to find the values of S and G.\nMultiplying the second equation by 4 gives us 4S + 4G = 80.\nSubtracting this equation from the first equation gives us -2G = -10.\nDividing both sides by -2 gives us G = 5.\nSubstituting this value back into the second equation gives us S + 5 = 20.\nSubtracting 5 from both sides gives us S = 15.\nTherefore, there are 15 sheep on Lee's farm.\n#### 15\nThe answer is: 15", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "Roger's normal brand of coffee costs $5 per pound.\nThe more expensive brand costs 20% more, so it costs $5 + ($5 * 20%) = $5 + $1 = $6 per pound.\nHe buys a week's worth of coffee, which is 7 pounds.\nSo, he spends 7 pounds * $5 per pound = $35 on the more expensive brand.\nHe also buys a donut for $2.\nTherefore, the total cost of everything is $35 + $2 = $37.\n#### 37\nThe answer is: 37", "answer": {"result": 37}}, "matches": false} +{"solution": {"solution": "Gus spent $2.00 for each bag of chips, so he spent 2 * $2.00 = $4.00 on chips. \n\nHe also bought a bucket of fried chicken for $8.00 and a bottle of soda for $1.00. \n\nSo far, he has spent $4.00 (chips) + $8.00 (fried chicken) + $1.00 (soda) = $13.00. \n\nGus spent a total of $20.00 at the grocery store. \n\nTo find out how much the apple pie cost, we subtract the amount he spent on the other items from the total amount spent. \n\n$20.00 (total spent) - $13.00 (spent on chips, fried chicken, and soda) = $7.00. \n\nTherefore, the apple pie cost $\\boxed{\\$7.00}$ .", "answer": {"result": 7}}, "matches": true} +{"solution": {"solution": "James delivers a total of 600 newspapers in a day. He delivers 198 newspapers to District A and 209 newspapers to District C. To find out how many newspapers he delivers to District B, we subtract the number of newspapers delivered to Districts A and C from the total.\n\nNumber of newspapers delivered to District B = Total newspapers - (Newspapers to District A + Newspapers to District C)\nNumber of newspapers delivered to District B = 600 - (198 + 209)\nNumber of newspapers delivered to District B = 600 - 407\nNumber of newspapers delivered to District B = 193\n\nSo, James delivers $\\boxed{193}$ newspapers to District B.", "answer": {"result": 193}}, "matches": true} +{"solution": {"solution": "To solve this problem, we follow these steps closely aligned with the given solution:\n\n1. **Calculate the total class time**: John's class meets 4 times a week for 2 hours each time. Over 6 weeks, the total class time is calculated as follows:\n \\[\n 4 \\, \\text{times/week} \\times 2 \\, \\text{hours/time} \\times 6 \\, \\text{weeks} = 48 \\, \\text{hours}\n \\]\n\n2. **Determine the number of recipes learned**: The problem states that John learns a new recipe for every 1.5 hours of class time. To find out how many recipes he learns, we divide the total class time by the time per recipe:\n \\[\n \\frac{48 \\, \\text{hours}}{1.5 \\, \\text{hours/recipe}} = 32 \\, \\text{recipes}\n \\]\n\nTherefore, John learns $\\boxed{32}$ recipes.", "answer": {"result": 32}}, "matches": true} +{"solution": {"solution": "If 60% of the teachers are history teachers, then 100% - 60% = 40% are math teachers.\n\nSo, the number of math teachers is 40% of 150, which is:\n\\[ \\frac{40}{100} \\times 150 = 60 \\text{ math teachers} \\]\n\nEach math teacher sleeps for 6 hours a day. Therefore, the total time all math teachers spend sleeping in one day is:\n\\[ 60 \\times 6 = 360 \\text{ hours} \\]\n\nThus, the math teachers collectively spend $\\boxed{360}$ hours sleeping in one day.", "answer": {"result": 360}}, "matches": true} +{"solution": {"solution": "\n1. **Determine Kassidy's Amount:**\n Kassidy has \\( \\frac{3}{4} \\) of Aurelia's amount. Given that Aurelia has $120, we calculate:\n \\[\n \\text{Kassidy's amount} = \\frac{3}{4} \\times 120 = 90 \\text{ dollars}.\n \\]\n\n2. **Determine Rayna's Amount:**\n Rayna has $60 more than Kassidy. So, we calculate:\n \\[\n \\text{Rayna's amount} = 90 + 60 = 150 \\text{ dollars}.\n \\]\n\n3. **Total Combined Amount:**\n The total amount of money they all have together is:\n \\[\n \\text{Total} = 120 + 90 + 150 = 360 \\text{ dollars}.\n \\]\n\n4. **Equal Sharing:**\n To find out how much each person would get if they shared the total equally, we divide the total amount by 3 (since there are 3 people):\n \\[\n \\text{Each person's share} = \\frac{360}{3} = 120 \\text{ dollars}.\n \\]\n\n### Conclusion:\n\nEach person would get $120 if they pooled their money and divided it equally.\n\n\\[\n\\boxed{120 \\text{ dollars per person}}\n\\]\n\n# (2)\n\n1. **Solve for x:**\n The given equation is:\n \\[\n \\frac{x - 5}{9} - \\frac{x + 7}{6} = \\frac{5}{2}.\n \\]\n\n2. **Eliminate the Fractions:**\n To clear the fractions, multiply every term by the least common multiple of the denominators, which is 18:\n \\[\n 18 \\left( \\frac{x - 5}{9} - \\frac{x + 7}{6} \\right) = 18 \\times \\frac{5}{2}.\n \\]\n Simplifying, we get:\n \\[\n 2(x - 5) - 3(x + 7) = 45.\n \\]\n\n3. **Expand and Simplify:**\n Distribute the coefficients:\n \\[\n 2x - 10 - 3x - 21 = 45.\n \\]\n Combine like terms:\n \\[\n -x - 31 = 45.\n \\]\n\n4. **Isolate x:**\n Add 31 to both sides:\n \\[\n -x = 76.\n \\]\n Multiply by -1 to solve for x:\n \\[\n x = -76.\n \\]\n\n### Conclusion:\n\nThe value of \\( x \\) is \\( -76 \\).\n\n\\[\n\\boxed{-76}\n\\]\n\n# (3)\n\n1. **Set up the Equation:**\n The problem states that the sum of the ages is 14 years. Let \\( y \\) represent the age of the youngest sibling. The oldest sibling is \\( y + 4 \\) years old.\n\n2. **Write the Equation:**\n The sum of the ages is:\n \\[\n y + (y + 4) = 14.\n \\]\n\n3. **Simplify and Solve:**\n Combine like terms:\n \\[\n 2y + 4 = 14.\n \\]\n Subtract 4 from both sides:\n \\[\n 2y = 10.\n \\]\n Divide by 2:\n \\[\n y = 5.\n \\]\n\n### Conclusion:\n\nThe youngest sibling is 5 years old.\n\n\\[\n\\boxed{5}\n\\]", "answer": {"result": 1.12}}, "matches": false} +{"solution": {"solution": "Each quarter of Sarah's basketball game is 12 minutes long. Since there are 4 quarters, the total length of the game without the extension would be:\n\n4 quarters * 12 minutes/quarter = 48 minutes\n\nHowever, there was a tie in the last quarter, and the game was extended for an additional 5 minutes. Therefore, the total length of the game with the extension is:\n\n48 minutes (non-extended game) + 5 minutes (extension) = 53 minutes\n\nThe entire game lasted $\\boxed{53}$ minutes.", "answer": {"result": 53}}, "matches": true} +{"solution": {"solution": "1. Calculate the number of management employees:\n - 20% of 50 employees is $\\frac{20}{100} \\times 50 = 10$ employees.\n\n2. Determine the number of employees who oversee the entire company:\n - 30% of the management employees oversee the company, which is $\\frac{30}{100} \\times 10 = 3$.\n\n3. Conclusion:\n - There are $\\boxed{3}$ employees who oversee the entire company.\n\nAnswer: 3", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "To find out the total amount of dry ingredients needed for 16 muffins, we need to calculate the total amount for each ingredient (flour, sugar, and salt) and then sum them up.\n\n1. **Flour**:\n Svetlana needs 5 tablespoons of flour for each muffin. For 16 muffins, the calculation is:\n \\[\n 5 \\text{ tablespoons/muffin} \\times 16 \\text{ muffins} = 80 \\text{ tablespoons}\n \\]\n\n2. **Sugar**:\n She requires 3 tablespoons of sugar per muffin. For 16 muffins, it's:\n \\[\n 3 \\text{ tablespoons/muffin} \\times 16 \\text{ muffins} = 48 \\text{ tablespoons}\n \\]\n\n3. **Salt**:\n Svetlana uses 0.25 of a tablespoon of salt per muffin. For 16 muffins, the calculation is:\n \\[\n 0.25 \\text{ tablespoons/muffin} \\times 16 \\text{ muffins} = 4 \\text{ tablespoons}\n \\]\n\n4. **Total dry ingredients**:\n To find the total amount of dry ingredients needed, we add up the amounts for flour, sugar, and salt:\n \\[\n 80 \\text{ tablespoons (flour)} + 48 \\text{ tablespoons (sugar)} + 4 \\text{ tablespoons (salt)} = 132 \\text{ tablespoons}\n \\]\n\nConclusion:\nThe total amount of dry ingredients required to make 16 muffins is \\(\\boxed{132}\\) tablespoons.", "answer": {"result": 132}}, "matches": true} +{"solution": {"solution": "To find out how much candy each person would have if they pool and share it equally, we first need to calculate the total amount of candy they have together. \n\n- Robert has 3 pounds of candy.\n- Cindy has 5 pounds of candy.\n- Aaron has 4 pounds of candy.\n\nAdding these amounts together gives us the total amount of candy:\n\\[3 + 5 + 4 = 12 \\text{ pounds}\\]\n\nNow, since they decide to share the candy equally among the three of them, we divide the total amount of candy by 3 to find out how much each person would get:\n\\[12 \\div 3 = 4\\]\n\nTherefore, each person would have $\\boxed{4}$ pounds of candy.", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the total cost of candies of type A:**\n - Each candy of type A costs $0.5.\n - Adam bought 7 candies of type A.\n - Therefore, the total cost for candies of type A is:\n \\[\n 7 \\times 0.5 = 3.5 \\, \\text{dollars}\n \\]\n\n2. **Determine the total cost of candies of type B:**\n - Each candy of type B costs $0.75.\n - Adam bought 10 candies of type B.\n - Therefore, the total cost for candies of type B is:\n \\[\n 10 \\times 0.75 = 7.5 \\, \\text{dollars}\n \\]\n\n3. **Calculate the total cost of all candies:**\n - The total cost is the sum of the costs of candies of type A and type B:\n \\[\n 3.5 \\, \\text{dollars} + 7.5 \\, \\text{dollars} = 11 \\, \\text{dollars}\n \\]\n\n4. **Determine the amount Adam paid to the cashier:**\n - Adam paid $15.\n\n5. **Calculate the change Adam should receive:**\n - The change is the difference between what Adam paid and the total cost of the candies:\n \\[\n 15 \\, \\text{dollars} - 11 \\, \\text{dollars} = 4 \\, \\text{dollars}\n \\]\n\n6. **Conclusion:**\n - Adam should receive $4$ dollars in change.\n\n\\[\n\\boxed{4}\n\\]", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "\nFirst, let's review the information given:\n- Christina has a total of 30 days.\n- She had 12 good days.\n- She had 8 bad days.\n- The remaining days were neutral.\n- Her first eight days were good, her second eight days were bad, and her third eight days were neutral.\n- The next three days were good, neutral, and good.\n\nFrom the information provided, we know that:\n1. Christina has already had 8 good days (her first eight days).\n2. She also had 8 bad days (her second eight days).\n\nSince she had 12 good days in total and has already used 8, there are still:\n\\[12 - 8 = 4\\] good days left.\n\nThe next three days are:\n- Good\n- Neutral\n- Good\n\nSince one of these days is already good, we don't need to add this to the count of good days left. The remaining neutral day does not affect the count of good days.\n\nTherefore, Christina has $\\boxed{4}$ good days left in the month.\n\nAnswer: $\\boxed{4}$", "answer": {"result": 4}}, "matches": false} +{"solution": {"solution": "Let's denote the number of books that Sally has as S.\n\nAccording to the problem, Janey has 3 more than twice the number of books that Sally has. This can be expressed as:\n\nJaney's books = 2 * Sally's books + 3\n\nWe are given that Janey has 21 books, so we can set up the equation:\n\n21 = 2S + 3\n\nNow, we can solve for S:\n\n21 - 3 = 2S\n18 = 2S\n\nDivide both sides by 2 to find S:\n\nS = 18 / 2\nS = 9\n\nSally has $\\boxed{9}$ books.", "answer": {"result": 9}}, "matches": true} +{"solution": {"solution": "\n\nFirst, we need to convert the height of the bamboo from feet to inches. Since there are 12 inches in a foot, 20 feet is equivalent to $20 \\times 12 = 240$ inches.\n\nThe bamboo grows up to 30 inches a day, so let's find out how many inches it needs to grow to reach 600 inches.\n\n$600 - 240 = 360$ inches\n\nNow, we need to divide the remaining growth needed by the daily growth rate to find the number of days.\n\n$360 \\div 30 = 12$\n\nTherefore, it will take 12 days for the bamboo's height to reach 600 inches.\n\nThe answer is: 12", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "James initially has 4 toys for 4 dogs, so each dog gets 1 toy.\n\nInitially, there are 4 dogs + 8 more dogs = 12 dogs in total.\n\nHe needs 12 dogs * 1 toy per dog = 12 toys.\n\nWhen James comes back the second time, there are twice as many more dogs as when he left. This means the number of additional dogs is 8 (the initial excess) * 2 = 16 more dogs.\n\nSo, there are 12 (initial dogs) + 16 (additional dogs) = 28 dogs in total.\n\nJames does not need the 12 toys he initially had for the 12 dogs, as he is replacing them with new toys that will go to all 28 dogs.\n\nTherefore, James needs 28 dogs * 1 toy per dog = $\\boxed{28}$ toys in total.", "answer": {"result": 28}}, "matches": false} +{"solution": {"solution": "First, let's calculate how much Dylan invested. Dylan invested 2/5 of the total amount. \n\nTotal amount = $1200\nDylan's investment = 2/5 * $1200 = $480\n\nNow, let's find out how much money was left after Dylan's investment.\n\nRemaining amount after Dylan's investment = Total amount - Dylan's investment\nRemaining amount after Dylan's investment = $1200 - $480 = $720\n\nNext, Frances invested 2/3 of the remaining amount.\n\nFrances's investment = 2/3 * $720 = $480\n\nNow, let's find out how much money was left after Frances's investment.\n\nRemaining amount after Frances's investment = Remaining amount after Dylan's investment - Frances's investment\nRemaining amount after Frances's investment = $720 - $480 = $240\n\nSince Skyler's investment accounted for the rest of the money, Skyler's investment is the remaining amount after Frances's investment.\n\nSkyler's investment = $240\n\nTherefore, Skyler invested $\\boxed{\\$240}$ .", "answer": {"result": 240}}, "matches": true} +{"solution": {"solution": "Carol and Jennifer have already collected a total of 20 + 44 = 64 signatures.\nThey want to reach a goal of 100 signatures by the end of summer.\nTherefore, they need to collect an additional 100 - 64 = 36 signatures.\n#### 36\nThe answer is: 36", "answer": {"result": 36}}, "matches": true} +{"solution": {"solution": "Karen earns twice what Lorie earns, so Karen earns $10 x 2 = $20 per hour.\n\nIf Karen works 3 hours per day for two days, she works a total of 3 hours/day x 2 days = 6 hours.\n\nTherefore, Karen earns $20/hour x 6 hours = $\\boxed{\\$120}$ in two days.", "answer": {"result": 120}}, "matches": true} +{"solution": {"solution": "\nTo solve this problem, we start by understanding the ratio of hash browns to potatoes given in the problem statement. \n\nGiven that 6 potatoes make 36 hash browns, we can find the ratio of potatoes to hash browns by dividing both quantities by the number of potatoes:\n\n\\[\n\\frac{36 \\text{ hash browns}}{6 \\text{ potatoes}} = 6 \\text{ hash browns per potato}\n\\]\n\nThis means that for every potato, you can make 6 hash browns. \n\nNow, to find out how many hash browns can be made from 96 potatoes, we multiply the number of potatoes by the number of hash browns each potato can produce:\n\n\\[\n96 \\text{ potatoes} \\times 6 \\text{ hash browns per potato} = 576 \\text{ hash browns}\n\\]\n\nThus, the total number of hash browns that can be made from 96 potatoes is $\\boxed{576}$.\n\nAnswer: 576", "answer": {"result": 576}}, "matches": true} +{"solution": {"solution": "If Jack rides the elevator with 8 other adults, the total number of adults in the elevator will be 1 (Jack) + 8 = 9 adults. \n\nEach adult weighs an average of 80 kg, so the total weight of the 9 adults combined will be 9 * 80 = 720 kg.\n\nThe maximum load the elevator can support is 700 kg.\n\nTo find out by how much they will have exceeded the maximum load, we subtract the maximum load from the total weight of the adults: 720 kg - 700 kg = 20 kg.\n\nTherefore, they will have exceeded the maximum load of the elevator by 20 kg.\n\n#### 20\nThe answer is: 20", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "Let's denote the number of cookies Katarina has as K, Max has as M, and the Cookie Monster has as CM.\n\nFrom the information given, we have:\n\n1) K = M - 5 (Katarina has 5 less cookies than Max)\n2) M = CM + 12 (Max has 12 more cookies than the Cookie Monster)\n3) Summer has 23 more cookies than Max, so Summer's cookies (S) can be represented as S = M + 23\n\nWe are given that Katarina has 68 cookies, so K = 68.\n\nUsing equation 1), we can find the number of cookies Max has (M):\n\n68 = M - 5\nM = 68 + 5\nM = 73\n\nNow that we know Max has 73 cookies, we can use equation 2) to find the number of cookies the Cookie Monster has (CM):\n\n73 = CM + 12\nCM = 73 - 12\nCM = 61\n\nFinally, we can find the number of cookies Summer has (S) using equation 3):\n\nS = M + 23\nS = 73 + 23\nS = 96\n\nNow, to find the total number of cookies they have, we add up all their cookies:\n\nTotal cookies = K + M + CM + S\nTotal cookies = 68 + 73 + 61 + 96\nTotal cookies = 298\n\nSo, they have a total of $\\boxed{298}$ cookies.", "answer": {"result": 298}}, "matches": true} +{"solution": {"solution": "Let's denote the original length of the dress as \\( L \\) centimeters. \n\nAccording to the problem, Shania extends the dress by 50% of its original length. So, the extension is \\( 0.50L \\). \n\nAdditionally, she adds 20cm to the bottom of the dress with a lace trim. \n\nThe final length of the dress is then the sum of the original length, the 50% extension, and the 20cm lace trim:\n\n\\[ L + 0.50L + 20 = 140 \\]\n\nCombining like terms, we get:\n\n\\[ 1.50L + 20 = 140 \\]\n\nSubtracting 20 from both sides to isolate the term with \\( L \\), we have:\n\n\\[ 1.50L = 140 - 20 \\]\n\\[ 1.50L = 120 \\]\n\nNow, to find the original length \\( L \\), we divide both sides by 1.50:\n\n\\[ L = \\frac{120}{1.50} \\]\n\\[ L = 80 \\]\n\nSo, the original length of the dress was $\\boxed{80}$ centimeters.", "answer": {"result": 80}}, "matches": true} +{"solution": {"solution": "Since it takes Chris 1 hour (60 minutes) to mow the entire lawn in turtle mode,\nhalf of the lawn would take him 30 minutes in turtle mode.\n\nIn rabbit mode, it takes Chris 40 minutes to mow the entire lawn.\nThus, half of the lawn would take him 20 minutes in rabbit mode.\n\nAdding these two times together gives the total time Chris took to mow half the lawn in each mode:\n\\[ 30 \\text{ minutes (turtle)} + 20 \\text{ minutes (rabbit)} = 50 \\text{ minutes} \\]\n\nTherefore, it took Chris a total of $\\boxed{50}$ minutes to mow the entire lawn by cutting half in each mode.", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "\nJohn and Jack have already spent 6 minutes walking to the corner where the library is and another 13 minutes walking to the fire station, so they have spent a total of 6 + 13 = 19 minutes.\n\nThey have 30 minutes in total to walk to school, so they have 30 - 19 = 11 minutes left to walk to school without being late.\n\n#### 11\nThe answer is: 11", "answer": {"result": 11}}, "matches": true} +{"solution": {"solution": "Catherine buys 1 kilo of apples for $4.\nShe buys 2 kilos of bananas for $2 per kilo, so she pays 2 * $2 = $4 for bananas.\nShe also buys 2 kilos of oranges for $3 per kilo, so she pays 2 * $3 = $6 for oranges.\nIn total, Catherine pays $4 + $4 + $6 = $14.\n#### 14\nThe answer is: 14", "answer": {"result": 14}}, "matches": true} +{"solution": {"solution": "Celinda bakes twice as many cookies as Greta, who bakes 30 cookies. So, Celinda bakes 30 cookies * 2 = 60 cookies.\n\nTogether, Greta and Celinda have 30 cookies + 60 cookies = 90 cookies.\n\nThey eat 10 cookies while they are cooling, so they put 90 cookies - 10 cookies = 80 cookies in the box.\n\nTherefore, there are 80 cookies in the box.\n\nThe final answer is 80 cookies.\n\nAnswer: \\boxed{80}", "answer": {"result": 80}}, "matches": true} +{"solution": {"solution": "1. Let's start by defining the variables. Let \\( a \\) be the age of one of the twins, and \\( b \\) be the age of one of the triplets. \n\n2. The problem states that one twin is 7 years older than one triplet. This gives us the equation:\n \\[\n a = b + 7\n \\]\n\n3. The combined ages of the twins and the triplets is given as 44. Since there is one set of twins and one set of triplets, there are three individuals in total (two twins and three triplets). Therefore, the equation for their combined ages is:\n \\[\n 2a + 3b = 44\n \\]\n\n4. Substitute \\( a = b + 7 \\) into the combined ages equation:\n \\[\n 2(b + 7) + 3b = 44\n \\]\n\n5. Distribute the 2 and simplify:\n \\[\n 2b + 14 + 3b = 44\n \\]\n\n6. Combine like terms:\n \\[\n 5b + 14 = 44\n \\]\n\n7. Isolate \\( b \\) by subtracting 14 from both sides:\n \\[\n 5b = 44 - 14\n \\]\n \\[\n 5b = 30\n \\]\n\n8. Divide both sides by 5 to find \\( b \\):\n \\[\n b = \\frac{30}{5}\n \\]\n \\[\n b = 6\n \\]\n\n9. Substitute \\( b = 6 \\) back into the equation \\( a = b + 7 \\) to find \\( a \\):\n \\[\n a = 6 + 7\n \\]\n \\[\n a = 13\n \\]\n\n### Conclusion:\nThe age of one of the twins is:\n\\[\n\\boxed{13}\n\\]", "answer": {"result": 13}}, "matches": true} +{"solution": {"solution": "First, let's convert the time John has before dinner into minutes. Since there are 60 minutes in an hour, 3 hours is equal to 3 x 60 = 180 minutes.\n\nNext, let's add up the time John has for each type of homework:\nMath homework: 20 minutes\nReading homework: 40 minutes\nHistory homework: 20 minutes\n\nTotal homework time = 20 + 40 + 20 = 80 minutes\n\nNow, let's subtract the total homework time from the total time John has before dinner:\n180 minutes (before dinner) - 80 minutes (homework) = 100 minutes\n\nJohn has 100 minutes available to nap before he has to eat dinner.\n\nThe answer is 100 minutes.", "answer": {"result": 100}}, "matches": true} +{"solution": {"solution": "First, let's find out the cost of the four candies. Since each lollipop costs $0.40 and Manolo bought five lollipops, the total cost for the lollipops is:\n\n5 lollipops * $0.40/lollipop = $2.00\n\nNow, we know that the total cost for five lollipops and four candies is $3.20. To find the cost of the four candies, we subtract the cost of the lollipops from the total cost:\n\n$3.20 (total cost) - $2.00 (cost of lollipops) = $1.20 (cost of candies)\n\nNow, we can find the cost of one candy by dividing the total cost of the candies by the number of candies:\n\n$1.20 / 4 candies = $0.30 per candy\n\nNext, let's calculate the cost for 10 lollipops:\n\n10 lollipops * $0.40/lollipop = $4.00\n\nNow, let's calculate the cost for 10 candies:\n\n10 candies * $0.30/candy = $3.00\n\nFinally, to find the total cost for 10 lollipops and 10 candies, we add the cost of the lollipops and the candies together:\n\n$4.00 (cost of lollipops) + $3.00 (cost of candies) = $7.00\n\nSo, 10 lollipops and 10 candies will cost Manolo $7.00.\n\nThe final answer is $7.00.", "answer": {"result": 7.0}}, "matches": true} +{"solution": {"solution": "\nRong saves 20 coins every month, so after 10 years (120 months), he will have saved 20 * 120 = 2400 coins.\n\nNeil saves 2/5 times more coins than Rong, which is 2/5 * 20 = 8 more coins per month.\n\nSo, Neil saves 20 + 8 = 28 coins every month.\n\nAfter 10 years, Neil will have saved 28 * 120 = 3360 coins.\n\nTogether, Rong and Neil will have 2400 + 3360 = 5760 coins after 10 years.\n\n#### 5760\nThe answer is: 5760", "answer": {"result": 5760}}, "matches": true} +{"solution": {"solution": "First, let's calculate the cost of the vaccines. Since each vaccine costs $20 and his dog needs 2 vaccines, the total cost for the vaccines is:\n\n2 vaccines * $20/vaccine = $40\n\nNext, we need to calculate the cost of the heartworm check, which is 60% of the total bill. Let's call the total bill T. The heartworm check is 0.60 * T.\n\nSince we know the cost of the vaccines ($40) is part of the total bill, we can say that:\n\nT = $40 (vaccines) + heartworm check\n\nWe also know that the heartworm check is 60% of the total bill, so:\n\nheartworm check = 0.60 * T\n\nSubstituting the first equation into the second gives us:\n\n0.60 * T = 0.60 * ($40 + heartworm check)\n\nSince the heartworm check is 60% of T, we can divide both sides by 0.60 to find the cost of the heartworm check:\n\nheartworm check = ($40 + heartworm check)\n\n0.60 * heartworm check = $40\n\nheartworm check = $40 / 0.60\n\nheartworm check = $66.67 (rounded to two decimal places)\n\nNow we can calculate the total bill (T):\n\nT = $40 (vaccines) + $66.67 (heartworm check)\n\nT = $106.67\n\nJohn brought $125 with him, so to find out how much he leaves with, we subtract the total bill from the amount he brought:\n\n$125 - $106.67 = $18.33\n\nJohn leaves with $\\boxed{\\$18.33}$ .", "answer": {"result": 18.33}}, "matches": false} +{"solution": {"solution": "\n1. **Determine the number of each type of fruit in the crate:**\n - Bananas: 5\n - Apples: 12\n - Oranges: 7\n\n2. **Find the cost of each type of fruit per piece:**\n - A banana costs twice as much as an apple:\n \\[\n \\text{Cost of a banana} = 2 \\times \\text{Cost of an apple} = 2 \\times 0.5 = 1 \\text{ dollar}\n \\]\n - An apple costs $0.5.\n - Oranges cost three times as much as a banana:\n \\[\n \\text{Cost of an orange} = 3 \\times \\text{Cost of a banana} = 3 \\times 1 = 3 \\text{ dollars}\n \\]\n\n3. **Calculate the total cost of each type of fruit:**\n - Total cost for bananas:\n \\[\n 5 \\text{ bananas} \\times 1 \\text{ dollar/banana} = 5 \\text{ dollars}\n \\]\n - Total cost for apples:\n \\[\n 12 \\text{ apples} \\times 0.5 \\text{ dollar/apple} = 6 \\text{ dollars}\n \\]\n - Total cost for oranges:\n \\[\n 7 \\text{ oranges} \\times 3 \\text{ dollars/orange} = 21 \\text{ dollars}\n \\]\n\n4. **Sum up the costs to find the total cost of the crate:**\n - Total cost of the crate:\n \\[\n 5 \\text{ dollars (bananas)} + 6 \\text{ dollars (apples)} + 21 \\text{ dollars (oranges)} = 32 \\text{ dollars}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{32 \\text{ dollars}}\n\\]", "answer": {"result": 32}}, "matches": true} +{"solution": {"solution": "Brittany's comforter has 14 red squares.\n\nThere are 4 more blue squares than red squares, so there are 14 + 4 = 18 blue squares.\n\nThere are 6 more green squares than blue squares, so there are 18 + 6 = 24 green squares.\n\nThere are 12 fewer white squares than green squares, so there are 24 - 12 = 12 white squares.\n\nTo find the total number of squares, we add up all the different colored squares: 14 (red) + 18 (blue) + 24 (green) + 12 (white) = 68 squares.\n\nSince each square is 1 foot by 1 foot, the total area of the comforter is 68 square feet.\n\n#### 68\nThe answer is: 68", "answer": {"result": 68}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's break it down step by step:\n\n1. First, we identify how many regular chairs are currently available. Since there are 5 times as many regular chairs as high chairs, and there are 8 high chairs, we calculate the number of regular chairs as follows:\n\\[5 \\times 8 = 40\\]\nSo, there are 40 regular chairs available.\n\n2. Next, we determine the total number of chairs (both regular and high) needed for the event. The total number of attendees is the sum of adults and babies:\n\\[42 \\text{ adults} + 15 \\text{ babies} = 57 \\text{ total attendees}\\]\nGiven that there are 8 high chairs, the number of chairs needed, including high chairs, is:\n\\[57 - 8 = 49\\]\n\n3. To find out how many more chairs are needed, we subtract the number of regular chairs available from the total number of chairs needed:\n\\[49 - 40 = 9\\]\n\nTherefore, Mia needs to get $\\boxed{9}$ more chairs.", "answer": {"result": 9}}, "matches": true} +{"solution": {"solution": "50 percent of the deer are bucks, so there are 50 * 0.50 = 25 bucks.\n20 percent of the bucks are 8 points, so there are 25 * 0.20 = 5 bucks that are 8 points.\nTherefore, there are 5 8 point bucks in the field.\n#### 5\nThe answer is: 5", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "\n1. First, determine the number of points Betty collected. Since Betty collected 30% more points than Adam, we calculate:\n \\[\n \\text{Points Betty collected} = 50 + 0.3 \\times 50 = 50 + 15 = 65 \\text{ points}\n \\]\n\n2. Next, find the number of points Tom collected. Tom has 30 points less than Betty, so:\n \\[\n \\text{Points Tom collected} = 65 - 30 = 35 \\text{ points}\n \\]\n\n3. Marta collected three times as many points as Tom, hence:\n \\[\n \\text{Points Marta collected} = 3 \\times 35 = 105 \\text{ points}\n \\]\n\n4. Sum the points collected by Adam, Betty, Tom, and Marta to determine the total points collected by class 3B:\n \\[\n \\text{Total points} = 50 + 65 + 35 + 105 = 255 \\text{ points}\n \\]\n\n5. Calculate how many more points are needed for the class to reach the threshold of 400 points:\n \\[\n 400 - 255 = 145 \\text{ points}\n \\]\n\n### Conclusion:\n\nThe class 3B is missing:\n\\[\n\\boxed{145}\n\\]\n\npoints to reach the minimum required threshold of 400 points to go on the trip.", "answer": {"result": 145}}, "matches": true} +{"solution": {"solution": "1. Great Grandma Jones has 3 children.\n2. Each of her children has 3 grandchildren.\n3. Each of these grandchildren has 3 babies, who are the great-grandchildren.\n\nTo find the total number of great-grandchildren, we multiply the number of each level:\n\n- Total grandchildren = 3 children \u00d7 3 grandchildren per child = 9 grandchildren\n- Total great-grandchildren = 9 grandchildren \u00d7 3 great-grandchildren per grandchild = 27 great-grandchildren\n\nThus, the total number of great-grandchildren Great Grandma Jones will have to kiss is $\\boxed{27}$.The answer is: 27", "answer": {"result": 27}}, "matches": true} +{"solution": {"solution": "To solve this problem, we follow the steps outlined in Greta's situation:\n\n1. **Calculate the amount Greta puts into her retirement account**: Greta puts 50% of her pay into her retirement account. To find this amount, we calculate:\n\\[2400.00 \\times 0.50 = 1200.00\\]\n\n2. **Calculate the amount Greta spends on her car payment**: Greta uses 20% of her paycheck for her car payment. We find this by calculating:\n\\[2400.00 \\times 0.20 = 480.00\\]\n\n3. **Calculate the total amount spent on retirement and car payment**: To find out how much money Greta spends in total on these two expenses, we add them together:\n\\[1200.00 + 480.00 = 1680.00\\]\n\n4. **Determine how much money Greta has left**: To find out how much money Greta has left to spend after her retirement contribution and car payment, we subtract the total expenses from her paycheck:\n\\[2400.00 - 1680.00 = 720.00\\]\n\nTherefore, Greta has $\\boxed{720.00}$ left to spend after funding her retirement and paying for her car.", "answer": {"result": 720.0}}, "matches": true} +{"solution": {"solution": "To find out how many pairs of pencils are in the box, we first need to determine the total number of pencils that are present in the box. Given that there is space for 20 pencils and 4 are missing, we can calculate the number of pencils in the box as follows:\n\n\\[20 \\text{ (total space)} - 4 \\text{ (missing pencils)} = 16 \\text{ pencils}\\]\n\nNow, to find out how many pairs of pencils are in the box, we divide the total number of pencils by 2, since each pair consists of 2 pencils:\n\n\\[16 \\text{ pencils} \\div 2 = 8 \\text{ pairs of pencils}\\]\n\nTherefore, there are $\\boxed{8}$ pairs of pencils in the box.", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total number of fireworks that will be set off in the city's display:\n\n15 boxes * 20 fireworks per box = 300 fireworks\n\nNow, let's calculate the number of fireworks Hannah will set off in her backyard:\n\n3 boxes * 5 fireworks per box = 15 fireworks\n\nNext, we'll determine the percentage of these fireworks Hannah will see from her house:\n\n40% of 300 fireworks + 15 fireworks = 0.4 * 300 + 15 = 120 + 15 = 135 fireworks\n\nTherefore, Hannah will see a total of $\\boxed{135}$ fireworks.", "answer": {"result": 135}}, "matches": true} +{"solution": {"solution": "\n\nAiden and his 13 friends (12 friends + Aiden) will buy 13 seats.\n\nAt the cinema, they meet 7 more friends, making a total of 13 + 7 = 20 people.\n\nEach seat can hold one person, two drinks, and three snacks, so for 20 people, they will need 20 * 2 = 40 drinks and 20 * 3 = 60 snacks.\n\nIn total, they need 40 + 60 = 100 items (drinks and snacks).\n\nSince each item costs $2, the total cost for snacks and drinks is 100 * $2 = $200.\n\nTherefore, the group has spent $200 on snacks and drinks.\n\nAnswer: $200", "answer": {"result": 200}}, "matches": true} +{"solution": {"solution": "Let's denote the amount of gravel Gissela's truck can carry as G, Gordy's truck as H, and Gary's truck as R.\n\nWe know that Gissela's truck can carry 4,000 pounds of gravel, so G = 4,000.\n\nGordy's truck can carry 800 pounds more than Gissela's, so H = G + 800 = 4,000 + 800 = 4,800 pounds.\n\nTogether, Gissela and Gordy can carry G + H = 4,000 + 4,800 = 8,800 pounds of gravel.\n\nWe're told that when Gary joins them, the three trucks can carry a total of 11,600 pounds of gravel. So, the combined capacity of Gary's truck and the combined capacity of Gissela and Gordy's trucks is 11,600 pounds.\n\nTherefore, R = 11,600 - 8,800 = 2,800 pounds.\n\nSo, Gary's truck can carry $\\boxed{2,800}$ pounds of gravel.", "answer": {"result": 2800}}, "matches": true} +{"solution": {"solution": "If each female ate 3 dumplings, then 6 females ate a total of 6 * 3 = 18 dumplings.\n\nSince each male ate 1 more dumpling than each female, each male ate 3 + 1 = 4 dumplings.\n\nThere are 8 males in the group, so the males ate a total of 8 * 4 = 32 dumplings.\n\nThe total number of dumplings eaten by both males and females is 18 (females) + 32 (males) = 50 dumplings.\n\nSince there were no leftovers, Larry cooked exactly 50 dumplings.\n\nTherefore, Larry cooked $\\boxed{50}$ dumplings.The answer is: 50", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "1. First, determine the total number of parts into which the money is divided. Gerald and Julia's ratio is 3:2, which means there are \\(3 + 2 = 5\\) parts in total.\n\n2. Calculate the value of one part by dividing the total amount of money by the total number of parts:\n \\[\n \\text{Value of one part} = \\frac{\\$100}{5} = \\$20\n \\]\n\n3. Since Gerald's share is 3 parts, calculate how much money Gerald initially has:\n \\[\n \\text{Gerald's share} = 3 \\times 20 = \\$60\n \\]\n\n4. After Gerald spends \\$10 on a book, determine how much money he has left:\n \\[\n \\text{Money left} = \\$60 - \\$10 = \\$50\n \\]\n\n5. Conclusion:\n \\[\n \\boxed{\\$50}\n \\]", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "If the cat is 5 times faster than the turtle, then the turtle's speed is 1/5 of the cat's speed.\nThe cat's speed is 15 feet/second, so the turtle's speed is 15/5 = 3 feet/second.\nIf the turtle crawls for 40 seconds, then it can cover a distance of 3 feet/second * 40 seconds = 120 feet.\n#### 120\nThe answer is: 120", "answer": {"result": 120}}, "matches": true} +{"solution": {"solution": "To find out how many hours the firefighters need to fundraise in total to reach their goal of $6300, given that they have already raised $2100 after 3 hours, we follow these steps:\n\n1. **Calculate the remaining amount needed**: The difference between their goal and what they've already raised is calculated as follows:\n \\[\n $6300 - $2100 = $4200.\n \\]\n\n2. **Determine the hourly fundraising rate**: Since $2100 was raised in 3 hours, we find the hourly rate by dividing the amount raised by the number of hours:\n \\[\n \\frac{$2100}{3 \\, \\text{hours}} = $700 \\, \\text{per hour}.\n \\]\n\n3. **Calculate the total hours required**: To find out how many more hours are needed to raise the remaining $4200 at a rate of $700 per hour, we divide the remaining amount by the hourly fundraising rate:\n \\[\n \\frac{$4200}{$700 \\, \\text{per hour}} = 6 \\, \\text{hours}.\n \\]\n\n4. **Find the total hours of fundraising**: Adding the initial 3 hours to the additional 6 hours needed, we get the total hours required:\n \\[\n 3 \\, \\text{hours} + 6 \\, \\text{hours} = 9 \\, \\text{hours}.\n \\]\n\nTherefore, the local firefighters need to fundraise for a total of $\\boxed{9}$ hours to reach their goal of $6300.", "answer": {"result": 9}}, "matches": true} +{"solution": {"solution": "1. Determine the percentage of water used by Colorado City:\n Colorado City uses \\(40\\%\\) of the water from the Colorado River.\n\n2. Calculate the amount of water used for industrial purposes:\n \\(80\\%\\) of the water used by Colorado City is for industrial purposes.\n \\[\n 0.80 \\times 0.40 = 0.32 \\text{ or } 32\\%\n \\]\n\n3. Calculate the percentage of water used for non-industrial purposes:\n The remaining percentage of water used by Colorado City for non-industrial purposes is:\n \\[\n 1 - 0.32 = 0.68 \\text{ or } 68\\%\n \\]\n\n4. Convert the percentage back to a fraction of the total river water:\n Since Colorado City uses \\(40\\%\\) of the total river water and \\(68\\%\\) of this is for non-industrial purposes:\n \\[\n 0.68 \\times 0.40 = 0.272 \\text{ or } 27.2\\%\n \\]\n\n5. Conclusion:\n Therefore, \\(27.2\\%\\) of the total water from the Colorado River is used by Colorado City for non-industrial purposes.\n\n \\[\n \\boxed{27.2\\%}\n \\]", "answer": {"result": 27.2}}, "matches": false} +{"solution": {"solution": "To find out how much Alex charges for 2 weeks of tutoring, we need to calculate the cost for one week first. \n\nA week consists of 7 days, and Alex charges $12 per day. Therefore, the cost for one week is:\n\n7 days/week * $12/day = $84/week\n\nNow, to find the cost for 2 weeks, we simply multiply the weekly cost by 2:\n\n2 weeks * $84/week = $168\n\nSo, Alex charges $168 for 2 weeks of tutoring.\n\nThe final answer is $168.", "answer": {"result": 168}}, "matches": true} +{"solution": {"solution": "To solve this problem, we need to determine the rate at which each flavor of ice cream is produced and then calculate the total amount made in 48 hours.\n\n1. **Chocolate Ice Cream Production Rate:**\n - The factory makes 100 quarts of chocolate ice cream in 2 hours.\n - To find the rate per hour, we divide the total quarts by the number of hours: $100 \\text{ quarts} / 2 \\text{ hours} = 50 \\text{ quarts/hour}$.\n\n2. **Vanilla Ice Cream Production Rate:**\n - The factory makes 50 quarts of vanilla ice cream in 4 hours.\n - To find the rate per hour for vanilla, we divide the total quarts by the number of hours: $50 \\text{ quarts} / 4 \\text{ hours} = 12.5 \\text{ quarts/hour}$.\n\n3. **Total Production Rate in 48 Hours:**\n - For chocolate ice cream, over 48 hours, it produces: $50 \\text{ quarts/hour} \\times 48 \\text{ hours} = 2400 \\text{ quarts}$.\n - For vanilla ice cream, over 48 hours, it produces: $12.5 \\text{ quarts/hour} \\times 48 \\text{ hours} = 600 \\text{ quarts}$.\n\n4. **Total Ice Cream Produced in 48 Hours:**\n - Adding the total production of both flavors gives us: $2400 \\text{ quarts} + 600 \\text{ quarts} = 3000 \\text{ quarts}$.\n\nTherefore, the total amount of ice cream made in 48 hours is $\\boxed{3000 \\text{ quarts}}$.", "answer": {"result": 3000}}, "matches": true} +{"solution": {"solution": "5 croissants at $3.00 each 5*3=$15.00\n4 cinnamon rolls at $2.50 each 4*2.50=$10.00\n3 mini quiches at $4.00 apiece 3*4=$12.00\n13 blueberry muffins at $1.00 apiece 13*1=$13.00\nAll the items come with a 10% discount so the total comes to 15+10+12+13-.10(15+10+12+13)=50-10=40\nThe answer is 40", "answer": {"result": 40}}, "matches": false} +{"solution": {"solution": "To calculate the number of scoops Erin should buy with the given deal and her budget, we follow these steps:\n\n1. **Determine the cost for 3 scoops**: Since the deal allows Erin to buy 2 scoops and get 1 scoop free, the cost for 3 scoops is calculated as follows:\n \\[\n 1.50 \\times 3 = 4.50 \\text{ dollars}\n \\]\n\n2. **Calculate the number of sets Erin can buy**: Erin has $6.00, and each set of 3 scoops costs $4.50. Therefore, the number of sets she can buy is:\n \\[\n \\frac{6.00}{4.50} = 1.333333333\n \\]\n Since Erin cannot buy a fraction of a set, she can buy 1 set of 3 scoops.\n\n3. **Calculate the total number of scoops Erin can buy**: With 1 set of 3 scoops, the total number of scoops Erin can buy is:\n \\[\n 1 \\times 3 = 3 \\text{ scoops}\n \\]\n\nTherefore, Erin should buy $\\boxed{3}$ scoops of ice cream.", "answer": {"result": 3}}, "matches": false} +{"solution": {"solution": "To solve this problem, we'll calculate the amount of candy each girl has after two weeks, taking into account their daily consumption.\n\n1. **Calculate the total candy eaten by Ginger:**\n - Ginger eats 4 pieces a day.\n - Over two weeks (14 days), Ginger eats $14 \\times 4 = 56$ pieces.\n\n2. **Calculate the remaining candy for Ginger:**\n - Ginger starts with 100 pieces and eats 56 pieces.\n - Therefore, Ginger has $100 - 56 = 44$ pieces left.\n\n3. **Calculate the total candy eaten by Amy:**\n - Amy eats 3 pieces a day.\n - Over two weeks (14 days), Amy eats $14 \\times 3 = 42$ pieces.\n\n4. **Calculate the remaining candy for Amy:**\n - Amy starts with 100 pieces and eats 42 pieces.\n - Therefore, Amy has $100 - 42 = 58$ pieces left.\n\n5. **Determine how much more candy Amy has compared to Ginger:**\n - Amy has 58 pieces, and Ginger has 44 pieces.\n - The difference is $58 - 44 = 14$ pieces.\n\nTherefore, after two weeks, Amy has $\\boxed{14}$ more pieces of candy than Ginger.", "answer": {"result": 14}}, "matches": true} +{"solution": {"solution": "To find out how many mosaic tiles Mr. Boarden needs to cover two-thirds of his 36 sq ft bathroom, we follow these steps:\n\n1. First, calculate the area of the bathroom that needs to be tiled. Since Mr. Boarden wants to cover two-thirds of his 36 sq ft bathroom, we calculate this area as follows:\n\\[ \\text{Area to be tiled} = 36 \\, \\text{sq ft} \\times \\frac{2}{3} = 24 \\, \\text{sq ft} \\]\n\n2. Next, determine the number of mosaic tiles needed per square foot. Mr. Boarden needs 24 tiles per square foot.\n\n3. Finally, calculate the total number of tiles needed to cover 24 sq ft by multiplying the area to be tiled by the number of tiles needed per square foot:\n\\[ \\text{Total tiles needed} = 24 \\, \\text{sq ft} \\times 24 \\, \\text{tiles/sq ft} = 576 \\, \\text{tiles} \\]\n\nTherefore, Mr. Boarden needs $\\boxed{576}$ tiles to cover two-thirds of his 36 sq ft bathroom.", "answer": {"result": 576}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total cost of picking the blueberries. \n\nThe cost to go picking is $20.\nThe cost per pound is $1.5.\nHe picked 30 pounds, so the cost for the blueberries is 30 pounds * $1.5/pound = $45.\n\nNow, let's calculate the total cost if he had bought the blueberries at the store.\n\nThe cost per pound at the store is $2.5.\nHe picked 30 pounds, so the cost at the store would be 30 pounds * $2.5/pound = $75.\n\nNow, let's calculate how much he saved by picking the blueberries himself.\n\nThe cost of picking the blueberries is $45.\nThe cost at the store would have been $75.\nThe savings is $75 - $45 = $30.\n\nJames saved $\\boxed{\\$30}$ by picking the blueberries himself.", "answer": {"result": 30}}, "matches": false} +{"solution": {"solution": "First, we need to calculate the new price of each computer after the 10% increase. \n\nTo find 10% of the original price, we multiply the original price by 0.10:\n\\[ \\$700 \\times 0.10 = \\$70 \\]\n\nSo, the increase in price for each computer is $70.\n\nNow, we add this increase to the original price to get the new price per computer:\n\\[ \\$700 + \\$70 = \\$770 \\]\n\nNext, we calculate the total cost for 500 computers at the new price:\n\\[ 500 \\times \\$770 = \\$385,000 \\]\n\nThus, the total amount of money they paid to buy the computers at the new prices is:\n\\[ \\boxed{385,000} \\]", "answer": {"result": 385000}}, "matches": true} +{"solution": {"solution": "\nJohn makes a 6 egg omelet, so there are 6 eggs.\nEach egg has 75 calories, so the total calories from the eggs is 6 * 75 = 450 calories.\nHe uses 2 oz of cheese, and the cheese is 120 calories per ounce, so the total calories from the cheese is 2 * 120 = 240 calories.\nHe also uses an equal amount of ham, which is 2 oz, and the ham is 40 calories per ounce, so the total calories from the ham is 2 * 40 = 80 calories.\nThe total number of calories in the omelet is 450 + 240 + 80 = 770 calories.\n#### 770\nThe answer is: 770", "answer": {"result": 770}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total cost of the pencils and erasers. \n\nThe cost of 6 pencils is $0.50 each, so:\n6 pencils * $0.50/pencil = $3.00\n\nThe cost of 8 erasers is $0.25 each, so:\n8 erasers * $0.25/eraser = $2.00\n\nNow, let's add the cost of the pencils and erasers to find the total cost:\n$3.00 (pencils) + $2.00 (erasers) = $5.00\n\nYou paid $10, so to find out how much change you would get, subtract the total cost from the amount paid:\n$10.00 (paid) - $5.00 (total cost) = $5.00\n\nYou would get $\\boxed{\\$5.00}$ in change.", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "30% of the 100 people who apply receive an interview, so 0.3 * 100 = 30 people receive interviews.\n\nOf those who receive interviews, 20% receive a job offer, so 0.2 * 30 = 6 people receive a job offer.\n\nOf those who receive a job offer, a third of the people accept the position, so 1/3 * 6 = 2 people accept the position.\n\nTherefore, 2 people accept the position.\n\n#### 2\nThe answer is: 2", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "Goldy bought 20 sacks of rice, so she initially had 20 * 25 = 500 kilograms of rice.\n\nShe gave 3 sacks to her cousin, which is 3 * 25 = 75 kilograms of rice.\n\nShe gave 4 sacks to her brother, which is 4 * 25 = 100 kilograms of rice.\n\nIn total, Goldy gave away 75 + 100 = 175 kilograms of rice to her cousin and brother.\n\n#### 175\nThe answer is: 175", "answer": {"result": 175}}, "matches": true} +{"solution": {"solution": "Castle bought 3 boxes of Coco Crunch and 5 boxes of Fruit Loops this week, so she bought a total of 3 + 5 = 8 boxes of cereal this week. \n\nLast week she bought 4 boxes of cereal. \n\nTo find out how many more boxes of cereal she bought this week than last week, we subtract the number of boxes bought last week from the number of boxes bought this week: 8 - 4 = 4. \n\nSo, Castle bought $\\boxed{4}$ more boxes of cereal this week than last week.", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "1. Calculate the total taps for the right foot:\n - Taps per minute for the right foot = 300\n - Total minutes = 5\n - Taps for the right foot = $300 \\times 5 = 1500$\n\n2. Calculate the total taps for the left foot:\n - Taps per minute for the left foot = 250\n - Total minutes = 5\n - Taps for the left foot = $250 \\times 5 = 1250$\n\n3. Calculate the taps while arms are raised:\n - Taps per minute with arms raised = 200\n - Arms raised for 2 minutes\n - Taps for both feet while arms are raised = $200 \\times 2 = 400$\n\n4. Calculate the taps while arms are down:\n - Taps per minute with arms down = $300 + 250 = 550$\n - Arms down for 3 minutes\n - Taps for both feet while arms are down = $550 \\times 3 = 1650$\n\n5. Combine all taps:\n - Total taps = Taps with arms raised + Taps with arms down\n - Total taps = $400 + 1650 = 2050$\n\n$\\boxed{2050}$", "answer": {"result": 2050}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total cost of buying the 3 buckets of asphalt. \n\n3 buckets * $25 per bucket = $75\n\nNow, let's add the fine Ron would get for unauthorized road maintenance.\n\n$75 (cost of asphalt) + $120 (fine) = $195\n\nFinally, we'll subtract the total cost Ron incurs by fixing the pothole himself from the cost of the damage the pothole would cause to his car.\n\n$450 (damage to the car) - $195 (cost of fixing it himself) = $255\n\nRon saves $\\boxed{\\$255}$ by fixing the pothole himself.", "answer": {"result": 255}}, "matches": true} +{"solution": {"solution": "The restaurant originally had 170 normal chairs and 23 baby chairs, for a total of 170 + 23 = 193 chairs. \n\nAfter sending 20 normal chairs and 13 baby chairs to the carpenter, the restaurant has 170 - 20 = 150 normal chairs left and 23 - 13 = 10 baby chairs left. \n\nTherefore, the restaurant has a total of 150 + 10 = $\\boxed{160}$ chairs left.The answer is: 160", "answer": {"result": 160}}, "matches": true} +{"solution": {"solution": "1. **Determine the number of slices per pizza:**\n Each pizza has 12 slices.\n\n2. **Calculate the slices eaten by Bryce and two friends:**\n - Each of Bryce and his two friends ate \\( \\frac{2}{3} \\) of their pizza.\n - The total number of slices eaten by these three friends is:\n \\[\n 3 \\times \\text{slices per pizza} \\times \\frac{2}{3} = 3 \\times 12 \\times \\frac{2}{3}\n \\]\n - Simplify the multiplication:\n \\[\n 3 \\times 12 = 36\n \\]\n \\[\n 36 \\times \\frac{2}{3} = 24 \\text{ slices}\n \\]\n\n3. **Calculate the slices eaten by the other two friends:**\n - Each of the remaining two friends ate \\( \\frac{3}{4} \\) of their pizza.\n - The total number of slices eaten by these two friends is:\n \\[\n 2 \\times \\text{slices per pizza} \\times \\frac{3}{4} = 2 \\times 12 \\times \\frac{3}{4}\n \\]\n - Simplify the multiplication:\n \\[\n 2 \\times 12 = 24\n \\]\n \\[\n 24 \\times \\frac{3}{4} = 18 \\text{ slices}\n \\]\n\n4. **Calculate the total slices eaten:**\n - The total number of slices eaten by all friends is:\n \\[\n 24 + 18 = 42 \\text{ slices}\n \\]\n\n5. **Calculate the remaining slices:**\n - The total number of slices available was:\n \\[\n 5 \\times 12 = 60 \\text{ slices}\n \\]\n - The number of slices remaining is:\n \\[\n 60 - 42 = 18 \\text{ slices}\n \\]\n\n### Conclusion\nThe number of slices of pizza left is:\n\\[\n\\boxed{18}\n\\]", "answer": {"result": 18}}, "matches": true} +{"solution": {"solution": "To find the average time it takes for both the cat and the dog to eat the sausages, we first determine the time each animal takes individually and then calculate the average.\n\n1. **Time taken by the cat:**\n - The cat eats 9 sausages in 30 minutes.\n - The time taken by the cat to eat 1 sausage is calculated by dividing the total time by the number of sausages:\n \\[\n \\frac{30 \\, \\text{minutes}}{9 \\, \\text{sausages}} = \\frac{10}{3} \\, \\text{minutes per sausage}\n \\]\n\n2. **Time taken by the dog:**\n - The dog can eat the same number of sausages (9) in \\( \\frac{2}{3} \\) of the time it takes the cat.\n - The time taken by the cat to eat the sausages is 30 minutes:\n \\[\n \\frac{2}{3} \\times 30 \\, \\text{minutes} = 20 \\, \\text{minutes}\n \\]\n - The time taken by the dog to eat 1 sausage is:\n \\[\n \\frac{20 \\, \\text{minutes}}{9 \\, \\text{sausages}} = \\frac{20}{9} \\, \\text{minutes per sausage}\n \\]\n\n3. **Average time taken by both the cat and the dog:**\n - The average time (A) is the total time divided by the number of animals (2):\n \\[\n A = \\frac{1}{2} \\left( \\frac{10}{3} + \\frac{20}{9} \\right)\n \\]\n - Find a common denominator to add the fractions:\n \\[\n \\frac{10}{3} = \\frac{30}{9} \\quad \\text{and} \\quad \\frac{20}{9}\n \\]\n - Combine the fractions:\n \\[\n \\frac{10}{3} + \\frac{20}{9} = \\frac{30}{9} + \\frac{20}{9} = \\frac{50}{9}\n \\]\n - Calculate the average time:\n \\[\n A = \\frac{1}{2} \\left( \\frac{50}{9} \\right) = \\frac{50}{18} = \\frac{25}{9} \\, \\text{minutes}\n \\]\n\n### Conclusion:\nThe average time it takes for both the cat and the dog to eat the sausages is:\n\\[\n\\boxed{\\frac{25}{9} \\, \\text{minutes}}\n\\]", "answer": {"result": 25}}, "matches": true} +{"solution": {"solution": "First, let's convert the length of Topher's shoe into inches. We know that 1 foot is equal to 12 inches. So, 8 feet is equal to 8 * 12 = 96 inches, and adding the 4 inches, we have 96 + 4 = 100 inches for the length of Topher's shoe.\n\nLet's denote the length of Bobby's shoe as B inches.\n\nAccording to the information given, Topher's shoe is 10 inches longer than 9 times the length of Bobby's shoe. This can be written as:\n\nTopher's shoe length = 9B + 10\n\nSubstituting the value we found for Topher's shoe length (100 inches), we get:\n\n100 = 9B + 10\n\nNow, let's solve for B:\n\n100 - 10 = 9B\n90 = 9B\n\nDivide both sides by 9 to isolate B:\n\n90 / 9 = B\n10 = B\n\nSo, Bobby's shoe is $\\boxed{10}$ inches long.", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "\nFirst, let's calculate the number of windows on the students' cars:\n\n64 students' cars * 4 windows each = 256 windows\n\nNext, let's calculate the number of windows smashed on the students' cars:\n\n1/4 of 256 windows = 256 / 4 = 64 windows\n\nNow, let's calculate the number of windows on the teachers' cars:\n\n32 teachers' cars * 2 windows each = 64 windows\n\nNext, let's calculate the number of windows smashed on the teachers' cars:\n\n3/4 of 64 windows = 64 * 3/4 = 48 windows\n\nFinally, let's add the number of windows smashed on the students' and teachers' cars to find the total:\n\n64 windows (students) + 48 windows (teachers) = 112 windows\n\nHannah smashes a total of $\\boxed{112}$ windows.\n\nAnswer: 112", "answer": {"result": 112}}, "matches": true} +{"solution": {"solution": "To find the percentage of blue spools among Candy's total thread collection, we first calculate the total number of blue spools. This involves adding the number of light blue spools (15) and the number of dark blue spools (45). \n\n\\[15 + 45 = 60\\]\n\nNext, we calculate the total number of spools by adding all the spools together, which includes the light blue, dark blue, light green, and dark green spools.\n\n\\[15 + 45 + 40 + 50 = 150\\]\n\nNow, to find the percentage of blue spools, we divide the total number of blue spools (60) by the total number of spools (150) and then multiply by 100 to convert the fraction to a percentage.\n\n\\[\\frac{60}{150} \\times 100 = 40\\%\\]\n\nTherefore, the percentage of Candy's spools that are blue is $\\boxed{40\\%}$.", "answer": {"result": 40}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the number of voters by midday**: \n - Initially, there were 5000 people lined up to vote.\n - By midday (12:00 PM), \\( \\frac{2}{5} \\) of the people had voted.\n - Calculate the number of people who voted by midday:\n \\[\n \\frac{2}{5} \\times 5000 = 2000\n \\]\n - Therefore, the number of people who had not voted by midday is:\n \\[\n 5000 - 2000 = 3000\n \\]\n\n2. **Determine the number of remaining voters after midday**:\n - After midday, there were 3000 people who had not voted.\n\n3. **Determine the number of voters by 4:00 PM**:\n - By 16:00 (4:00 PM), \\( \\frac{2}{3} \\) of the remaining voters had voted.\n - Calculate the number of people who voted between midday and 4:00 PM:\n \\[\n \\frac{2}{3} \\times 3000 = 2000\n \\]\n - Therefore, the number of people who had not voted by 4:00 PM is:\n \\[\n 3000 - 2000 = 1000\n \\]\n\n4. **Conclusion**:\n - The number of people who had not voted by 4:00 PM is:\n \\[\n \\boxed{1000}\n \\]", "answer": {"result": 1000}}, "matches": true} +{"solution": {"solution": "\nParker chews 4 pieces of gum a day, so in 30 days, he will need 4 x 30 = 120 pieces of gum.\nA pack of gum has 15 pieces, so he will need 120 / 15 = 8 packs of gum.\nTherefore, Parker will need 8 packs of gum to last him 30 days.\n#### 8\nThe answer is: 8", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "Each sleeve of graham crackers makes 8 large smores. \nThere are 3 sleeves in a box, so each box contains 3 sleeves x 8 smores = 24 large smores. \n\n9 kids want 2 smores apiece, so they will need 9 kids x 2 smores = 18 smores. \n\n6 adults will eat 1 smore apiece, so they will need 6 adults x 1 smore = 6 smores. \n\nIn total, they will need 18 smores for the kids + 6 smores for the adults = 24 smores. \n\nSince each box contains 24 smores, they will need 24 smores / 24 smores per box = 1 box of graham crackers. \n\n#### 1\nThe answer is: 1", "answer": {"result": 1}}, "matches": true} +{"solution": {"solution": "If Dora is 15 years old, her father's age can be calculated as follows:\n\nTwice Dora's age is:\n\\[ 2 \\times 15 = 30 \\]\n\nAdding the additional eight years gives the father's age:\n\\[ 30 + 8 = 38 \\]\n\nDora's mother is four years younger than her father. Therefore, the mother's age is:\n\\[ 38 - 4 = 34 \\]\n\nNow, to find the total combined age of Dora, her father, and her mother:\n\\[ 15 + 38 + 34 = 87 \\]\n\nThus, the total combined age of Dora, her father, and her mother is $\\boxed{87}$ years.", "answer": {"result": 87}}, "matches": true} +{"solution": {"solution": "Greg found $20, and he wants to split it equally among his 3 siblings. \n\nFirst, he needs to divide the total amount of money by the number of siblings to find out how much each sibling will get. \n\n$20 \u00f7 4 siblings = $5 per sibling\n\nSo, each of Greg's siblings will get $\\boxed{\\$5}$ .", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "Cindy's math and science books weigh 2 pounds each, so the total weight of her math and science books is 2 + 2 = 4 pounds.\nHer French book weighs 4 pounds and her English book weighs 3 pounds.\nHer history book weighs twice as much as her English book, so her history book weighs 3 x 2 = 6 pounds.\nThe total weight of all her books is 4 + 4 + 3 + 6 = 17 pounds.\n#### 17\nThe answer is: 17", "answer": {"result": 17}}, "matches": true} +{"solution": {"solution": "Candidate A got 20% of the votes, which is 20/100 * 100 = 20 votes.\n\nCandidate B got 50% more than candidate A's votes, which is 50/100 * 20 = 10 votes more than candidate A.\n\nSo, candidate B got 20 + 10 = 30 votes.\n\nThe rest of the votes were given to candidate C, which is 100 - 20 - 30 = 50 votes.\n\nTherefore, candidate C got 50 votes.\n\n#### 50\nThe answer is: 50", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "Beck has 100 - 23 = 77 apples.\nIf Boris gives Beck 10 apples, Boris has 100 - 10 = 90 apples.\nNow, Beck has 77 + 10 = 87 apples.\nSo, Beck has 90 - 87 = 3 fewer apples than Boris now.\n#### 3\nThe answer is: 3", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "Peter uses 4 ounces of water for each giant cube, so for 3 giant cubes, he uses 4 * 3 = 12 ounces.\n\nFor the medium cubes, he uses 2 ounces per cube, so for 7 medium cubes, he uses 2 * 7 = 14 ounces.\n\nFor the small cubes, he uses 1/2 an ounce per cube, so for 8 small cubes, he uses (1/2) * 8 = 4 ounces.\n\nIn total, Peter uses 12 + 14 + 4 = 30 ounces of water for all the cubes.\n\nHe started with 32 ounces of water, so he has 32 - 30 = $\\boxed{2}$ ounces of water left.The answer is: 2", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "If Clara has 20 books and two times as many books as Steven, then Steven has 20/2 = 10 books.\n\nAlice has 6 more books than Steven, so Alice has 10 + 6 = 16 books.\n\nTo find out how many more books Clara has than Alice, we subtract the number of books Alice has from the number of books Clara has: 20 - 16 = 4.\n\nClara has $\\boxed{4}$ more books than Alice.", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's break it down step by step:\n\n1. **Determine the cost of a half-gallon jar:**\n\nGiven that a gallon jar costs $5 and is $2 more expensive than a half-gallon jar, we can find the cost of a half-gallon jar by subtracting the $2 difference from the cost of a gallon jar.\n\n- Cost of a gallon jar = $5\n- Difference from half-gallon jar = $2\n\nTherefore, the cost of a half-gallon jar is:\n\\[5 - 2 = \\$3\\]\n\n2. **Calculate the total cost for 10 gallon jars:**\n\nWith the cost of a gallon jar at $5, the total cost for 10 gallon jars is calculated by multiplying the cost per gallon jar by the number of gallon jars.\n\n- Number of gallon jars = 10\n- Cost per gallon jar = $5\n\nThus, the total cost for the gallon jars is:\n\\[10 \\times 5 = \\$50\\]\n\n3. **Calculate the total cost for 16 half-gallon jars:**\n\nSimilarly, for the half-gallon jars, which cost $3 each, the total cost is found by multiplying the cost per half-gallon jar by the number of half-gallon jars.\n\n- Number of half-gallon jars = 16\n- Cost per half-gallon jar = $3\n\nSo, the total cost for the half-gallon jars is:\n\\[16 \\times 3 = \\$48\\]\n\n4. **Find the total amount Cecelia spent:**\n\nFinally, to find the total amount Cecelia spent, we add the total cost for the gallon jars and the half-gallon jars together.\n\n- Total cost for gallon jars = $50\n- Total cost for half-gallon jars = $48\n\nTherefore, the total amount Cecelia spent is:\n\\[50 + 48 = \\$98\\]\n\nEncapsulating the final answer:\n\n\\[\\boxed{98}\\]", "answer": {"result": 98}}, "matches": true} +{"solution": {"solution": "\n1. Let's denote the number of students who like to play music as \\( M \\) and the number of students who like to play video games as \\( V \\).\n\n2. We are given that the number of students who like to play music is twice the number of students who like to play basketball. That gives us the relationship:\n \\[\n M = 2 \\times 5 = 10\n \\]\n\n3. The total number of students is 50. We know that 10 students like to bake and 5 students like to play basketball. Therefore, the number of students who like either music or video games is:\n \\[\n 50 - 10 - 5 = 35\n \\]\n\n4. We also know that the number of students who like music and video games together is 35. Using the relationship between music and video games:\n \\[\n M + V = 35\n \\]\n Substituting \\( M = 10 \\):\n \\[\n 10 + V = 35\n \\]\n\n5. Solving for \\( V \\):\n \\[\n V = 35 - 10 = 25\n \\]\n\n6. Therefore, the number of students who like to play video games is:\n \\[\n \\boxed{25}\n \\]", "answer": {"result": 25}}, "matches": true} +{"solution": {"solution": "Jeremy saw 12 birds in their backyard. \nHe threw a stone and scared away 1/3 of that number, which is 12 * 1/3 = 4 birds. \nSo, 12 - 4 = 8 birds remained. \nA few minutes later, 20 more birds joined the fearless birds, so now there are 8 + 20 = 28 birds in the backyard. \n\n#### 28\nThe answer is: 28", "answer": {"result": 28}}, "matches": true} +{"solution": {"solution": "\nTo find the number of boys in each class, we first need to determine the number of girls in each class. We know that 40% of the students in each class are girls. Since there are 80 students in total, with each class having 40 students, we need to find 40% of 40 students.\n\n1. Calculate the number of girls in each class:\n \\[\n 40\\% \\text{ of } 40 = \\frac{40}{100} \\times 40 = 16 \\text{ girls}\n \\]\n\n2. Determine the total number of students in each class (already given as 40 students).\n\n3. Subtract the number of girls from the total number of students in each class to find the number of boys:\n \\[\n 40 \\text{ students} - 16 \\text{ girls} = 24 \\text{ boys}\n \\]\n\nSo, there are 24 boys in each class.\n\nConclusion:\n\\[\n\\boxed{24}\n\\]", "answer": {"result": 24}}, "matches": true} +{"solution": {"solution": "Mara started with 2 slices of cake. \nShe added 3 more slices, so she had 2 + 3 = 5 slices. \nShe then tripled the number of slices, so she had 5 * 3 = 15 slices. \nShe ate 2 slices, so she had 15 - 2 = 13 slices remaining. \nHer friend stole 5 slices, so she had 13 - 5 = 8 slices remaining. \n\nTherefore, there were 8 cake slices left on the plate. \n\n#### 8\nThe answer is: 8", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "Melissa has a total of 8 + 5 + 3 + 12 = 28 animals to groom this week. \n\nIf she splits the grooming jobs evenly over the 7 days of the week, she will groom 28 / 7 = 4 animals each day. \n\nTherefore, Melissa will groom 4 animals each day of the week. \n\n#### 4\nThe answer is: 4", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "Mark buys 3 packs for $1800 each, so he spends 3 * $1800 = $5400 on the packs.\n\nHe gets one card worth $4000 and another card worth $1000, so he has $4000 + $1000 = $5000 worth of cards.\n\nThere are 30 more cards worth an average of $50 each, so the total value of these cards is 30 * $50 = $1500.\n\nThe total value of all the cards he has is $5000 + $1500 = $6500.\n\nTo calculate the profit, we subtract the cost of the packs from the total value of the cards: $6500 - $5400 = $1100.\n\nMark made a profit of $\\boxed{\\$1100}$ .", "answer": {"result": 1100}}, "matches": true} +{"solution": {"solution": "To calculate the total cost for each amusement park and then determine the savings, we follow these steps:\n\n1. **Calculate the cost for the first amusement park:**\n - For adults, the cost is $26 per adult. With 2 adults, the total cost is $26 \\times 2 = \\$52$.\n - For children, the cost is $12 per child. With 2 children, the total cost is $12 \\times 2 = \\$24$.\n - Adding the costs for adults and children, we get the total cost for the first amusement park as $52 + 24 = \\$76$.\n\n2. **Calculate the cost for the second amusement park:**\n - For adults, the cost is $14 per adult. With 2 adults, the total cost is $14 \\times 2 = \\$28$.\n - For children, the cost is $10 per child. With 2 children, the total cost is $10 \\times 2 = \\$20$.\n - Adding the costs for adults and children, we get the total cost for the second amusement park as $28 + 20 = \\$48$.\n\n3. **Determine the savings by choosing the second amusement park:**\n - The savings is the difference between the cost of the first amusement park and the cost of the second amusement park, which is $76 - 48 = \\$28$.\n\nTherefore, the total savings Jake's family would be able to realize by choosing the second amusement park over the first is $\\boxed{\\$28}$.", "answer": {"result": 28}}, "matches": true} +{"solution": {"solution": "The tomato vendor used to buy tomatoes for $.5 each, so his total cost for tomatoes per day was 500 * $.5 = $250.\nWith the new vendor, he buys tomatoes for $.4 each, so his total cost for tomatoes per day is 500 * $.4 = $200.\nTo calculate his savings for the week, we need to find the difference between his old total cost and his new total cost.\nThe difference is $250 - $200 = $50 per day.\nSince there are 7 days in a week, his savings for the week is $50 * 7 = $350.\n#### 350\nThe answer is: 350", "answer": {"result": 350}}, "matches": true} +{"solution": {"solution": "If Sean has 56 marbles, and Carl has four times as many marbles as Sean, then Carl has 4 * 56 = 224 marbles.\nIf Sean has half as many marbles as Cal, then Cal has 56 * 2 = 112 marbles.\nThe total number of marbles that Carl and Cal have combined is 224 + 112 = 336 marbles.\n#### 336\nThe answer is: 336", "answer": {"result": 336}}, "matches": true} +{"solution": {"solution": "To find out how many more groups are needed to form, we need to determine the difference between the total number of groups required and the number of groups currently formed.\n\nGiven:\n- Total number of groups required = 12\n- Number of groups currently formed = 6\n\nWe calculate the additional groups needed as follows:\n\n\\[\n\\text{Additional groups needed} = \\text{Total groups required} - \\text{Groups currently formed}\n\\]\n\nSubstituting the given values:\n\n\\[\n\\text{Additional groups needed} = 12 - 6\n\\]\n\nPerforming the subtraction:\n\n\\[\n\\text{Additional groups needed} = 6\n\\]\n\nTherefore, the number of more groups needed to form is $\\boxed{6}$.", "answer": {"result": 6}}, "matches": false} +{"solution": {"solution": "In a 4-week month, there are 4 weeks x 7 days = 28 days. \n\nDuring the weekdays (Monday to Friday), there are 5 weekdays x 60 chairs = 300 chairs rented out. \n\nDuring the weekends (Saturday and Sunday), there are 2 weekend days x 100 chairs = 200 chairs rented out. \n\nSo, in total, in a 4-week month, there are 300 + 200 = 500 chairs rented out. \n\nSince there are two 4-week months, Candy will be able to rent out a total of 500 x 2 = 1000 chairs. \n\n#### 1000\nThe answer is: 1000", "answer": {"result": 1000}}, "matches": false} +{"solution": {"solution": "Gunther originally had 48 bananas.\nArnold stole half of the bananas, so Gunther had 48/2 = 24 bananas left.\nThe next day, Gunther added 25 bananas, so he had 24 + 25 = 49 bananas.\nArnold stole 12 bananas, so Gunther had 49 - 12 = 37 bananas left.\nOn the third day, Gunther added 6 bananas, so he had 37 + 6 = 43 bananas.\nGunther found 43 bananas in the pile.\n#### 43\nThe answer is: 43", "answer": {"result": 43}}, "matches": true} +{"solution": {"solution": "To find out how much each roommate will pay for electricity per year, we first need to calculate the total annual electricity cost for all roommates combined. \n\n1. **Calculate the monthly cost for all roommates:**\n Each roommate's share of the monthly electricity bill is $\\frac{100}{5} = \\$20$.\n\n2. **Calculate the annual cost for all roommates:**\n Since there are 12 months in a year, the annual cost for all roommates combined is $12 \\times 20 = \\$240$.\n\n3. **Calculate the annual cost per roommate:**\n Dividing the total annual cost by the number of roommates, we find each roommate's annual share is $\\frac{240}{5} = \\$48$.\n\nTherefore, each roommate will pay $\\boxed{\\$48}$ for electricity per year.", "answer": {"result": 48}}, "matches": false} +{"solution": {"solution": "\n\nJeff sent 8 dozen glasses, and since there are 12 glasses in a dozen, he initially had 8 * 12 = 96 glasses. \n\nAfter the event, 10 glasses were broken, so he has 96 - 10 = 86 glasses left. \n\nJeff also sent 4 dozen plates, which means he initially had 4 * 12 = 48 plates. \n\nAt the event, 6 plates were broken, so he has 48 - 6 = 42 plates left. \n\nIn total, Jeff now has 86 glasses + 42 plates = 128 glasses and plates. \n\n#### 128\nThe answer is: 128", "answer": {"result": 128}}, "matches": true} +{"solution": {"solution": "1. **Calculate the number of small stickers Lorraine trades:**\n Lorraine starts with 30 small stickers and trades 90% of them.\n \\[\n \\text{Number of small stickers traded} = 30 \\times 0.90 = 27 \\text{ small stickers}\n \\]\n\n2. **Calculate the number of large stickers Lorraine trades:**\n Lorraine starts with 40 large stickers and trades 50% of them.\n \\[\n \\text{Number of large stickers traded} = 40 \\times 0.50 = 20 \\text{ large stickers}\n \\]\n\n3. **Calculate the number of small buttons received from trading small stickers:**\n Each small sticker is worth one small button.\n \\[\n \\text{Number of small buttons} = 27\n \\]\n\n4. **Calculate the number of large buttons received from trading large stickers:**\n Each large sticker is worth three small buttons. Since she trades 20 large stickers, the equivalent number of small buttons is:\n \\[\n \\text{Number of small buttons equivalent to 20 large stickers} = 20 \\times 3 = 60 \\text{ small buttons}\n \\]\n\n5. **Calculate the remaining large stickers and their equivalent small buttons:**\n Lorraine has 20 large stickers left. Each large sticker is worth three small buttons, so:\n \\[\n \\text{Number of small buttons from remaining large stickers} = 20 \\times 3 = 60 \\text{ small buttons}\n \\]\n\n6. **Sum up all the buttons Lorraine has:**\n \\[\n \\text{Total small buttons} = 27 + 60 + 60 = 147 \\text{ small buttons}\n \\]\n\n7. **Calculate the number of large buttons:**\n Lorraine traded 20 large stickers for large buttons:\n \\[\n \\text{Number of large buttons} = 20\n \\]\n\n8. **Conclusion:** Lorraine ends up with 147 small buttons and 20 large buttons.\n\n\\[\n\\boxed{167}\n\\]", "answer": {"result": 167}}, "matches": false} +{"solution": {"solution": "Joey played 2 matches on Monday.\nHe played 1 match on Friday.\nOn Saturday, he played double the number of matches he played on Monday, so he played 2 * 2 = 4 matches.\nIn total, Joey played 2 + 1 + 4 = 7 matches in one week.\n#### 7\nThe answer is: 7", "answer": {"result": 7}}, "matches": true} +{"solution": {"solution": "Let's denote the number of votes in favor of the new regulation as \\( F \\) and the number of votes against it as \\( A \\). According to the problem, we have:\n\n\\[ F = 2A \\]\n\nThe total number of votes cast is the sum of the votes in favor and against, which is equal to the number of council members, 33. Therefore:\n\n\\[ F + A = 33 \\]\n\nSubstituting \\( F = 2A \\) into the second equation gives:\n\n\\[ 2A + A = 33 \\]\n\\[ 3A = 33 \\]\n\\[ A = 11 \\]\n\nNow, substituting \\( A = 11 \\) back into the equation \\( F = 2A \\) gives:\n\n\\[ F = 2 \\times 11 \\]\n\\[ F = 22 \\]\n\nSo, the number of votes in favor of the new regulation is \\( 22 \\).\n\nTo verify:\n\n\\[ F + A = 22 + 11 = 33 \\]\n\nThis confirms that the calculations are correct.\n\n22", "answer": {"result": 22}}, "matches": true} +{"solution": {"solution": "11 students need extra-small shirts.\nTwice as many students need size small as extra small, so 11 x 2 = 22 students need size small.\nFour less than the number of size small students need size medium, so 22 - 4 = 18 students need size medium.\nHalf as many students need size large as size medium, so 18 / 2 = 9 students need size large.\nSix more students need size extra-large than large, so 9 + 6 = 15 students need size extra-large.\nAltogether, Krissa ordered 11 + 22 + 18 + 9 + 15 = 75 shirts.\n#### 75\nThe answer is: 75", "answer": {"result": 75}}, "matches": true} +{"solution": {"solution": "To calculate the final price after a discount, you first need to determine the amount of the discount and then subtract it from the original price.\n\nThe discount is 5% of the original price, which is $140.\n\nTo find the discount amount:\nDiscount = Original Price * Discount Percentage\nDiscount = $140 * 0.05\nDiscount = $7\n\nNow, subtract the discount from the original price to find the final price:\nFinal Price = Original Price - Discount\nFinal Price = $140 - $7\nFinal Price = $133\n\nSo, after the discount, you will pay $\\boxed{\\$133}$ .", "answer": {"result": 133}}, "matches": true} +{"solution": {"solution": "If one playlist has 300 songs and each song is 10 hours long, then one playlist lasts 300 * 10 = 3000 hours.\nSince John has 20 playlists, the total duration of all the playlists is 20 * 3000 = 60000 hours.\nTherefore, the 20 playlists will last a total of 60000 hours.\n#### 60000\nThe answer is: 60000", "answer": {"result": 60000}}, "matches": true} +{"solution": {"solution": "20% of 50 people think horse #2 will win, which is 0.20 * 50 = 10 people.\n\nThe remaining people are 50 - 10 = 40 people.\n\n60% of the remaining people think horse #7 will win, which is 0.60 * 40 = 24 people.\n\nThe rest of the people think horse #12 will win, which means 40 - 24 = 16 people.\n\nTherefore, $\\boxed{16}$ people think that horse #12 will win.The answer is: 16", "answer": {"result": 16}}, "matches": true} +{"solution": {"solution": "If one third of the Pomeranians are girls, and there are 6 Pomeranian girls, then there are a total of 6 * 3 = 18 Pomeranians.\n\nSince two thirds of Jana's puppies are Pomeranians, and there are 18 Pomeranians, the total number of puppies Jana has is 18 / (2/3) = 18 * (3/2) = 27.\n\nJana has $\\boxed{27}$ puppies in total.The answer is: 27", "answer": {"result": 27}}, "matches": true} +{"solution": {"solution": "Ava gave Jayden half of her $90 allowance, so she gave him $90/2 = $45.\nJayden already had $70, so he now has a total of $70 + $45 = $115.\nThe camera costs $200, so Jayden still needs $200 - $115 = $85 more to buy the camera.\n#### 85\nThe answer is: 85", "answer": {"result": 85}}, "matches": true} +{"solution": {"solution": "Let's denote the number of cases of shingles needed for the first house as \\( x \\).\n\nAccording to the problem, the second house needs twice as many shingles as the first house, so it will need \\( 2x \\) cases.\n\nThe third house needs double the amount of the first house, which means it will need \\( 2x \\) cases as well.\n\nThe total number of cases needed for all three houses is 250. So we can write the equation:\n\n\\( x + 2x + 2x = 250 \\)\n\nCombining like terms, we get:\n\n\\( 5x = 250 \\)\n\nTo find the value of \\( x \\), we divide both sides of the equation by 5:\n\n\\( x = \\frac{250}{5} \\)\n\n\\( x = 50 \\)\n\nNow that we know the first house needs 50 cases, we can find out how many cases the third house needs, which is also \\( 2x \\):\n\n\\( 2x = 2 \\times 50 \\)\n\n\\( 2x = 100 \\)\n\nSo, the third house will need $\\boxed{100}$ cases of shingles.", "answer": {"result": 100}}, "matches": true} +{"solution": {"solution": "Leila buys 3 cucumbers at $2 each, so she spends 3 * $2 = $6 on cucumbers.\nJack buys 5 tomatoes at $1 each, so he spends 5 * $1 = $5 on tomatoes.\nChase buys 1 head of lettuce at $3, so he spends 1 * $3 = $3 on lettuce.\n\nTogether, they spent $6 + $5 + $3 = $14 to make a salad for the potluck.\n\n#### 14\nThe answer is: 14", "answer": {"result": 14}}, "matches": true} +{"solution": {"solution": "\nGeorge has 45% more pears than bananas. \nIf George has 200 bananas, then he has 45/100 * 200 = 90 more pears than bananas.\nSo, George has 200 + 90 = 290 pears.\nTherefore, George has a total of 200 bananas + 290 pears = 490 fruits.\n#### 490\nThe answer is: 490", "answer": {"result": 490}}, "matches": true} +{"solution": {"solution": "Marissa had $80 on her and she spent $20 on a ball, so she had $80 - $20 = $60 left to buy candy bars for Jimmy. \n\nIf each candy bar is sold for $5, then Marissa could buy $60 / $5 = 12 candy bars for Jimmy. \n\nTherefore, Marissa bought $\\boxed{12}$ candy bars for Jimmy. \n\nThe answer is: 12", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "To make 1 liter of juice, Sam needs 5 kilograms of oranges, so to make 4 liters of juice, he would need 4 x 5 = 20 kilograms of oranges.\nEach kilogram of oranges costs $3, so to make 20 kilograms of oranges, Sam would have to spend 20 x $3 = $60.\n#### 60\nThe answer is: 60", "answer": {"result": 60}}, "matches": true} +{"solution": {"solution": "In one hour, Ezra read 300 books. \nAhmed read half as many books as Ezra, so Ahmed read 300/2 = 150 books. \nEzra decided to read 150 more books, so he will have read a total of 300 + 150 = 450 books. \nTogether, Ezra and Ahmed have read 300 + 150 = 450 books. \n#### 450\nThe answer is: 450", "answer": {"result": 450}}, "matches": false} +{"solution": {"solution": "\nTanya teaches for a total of 5 hours on Monday and 2 hours on Wednesday, which adds up to 7 hours of teaching. \n\nFor each hour, she earns $15. So for 7 hours, she earns:\n\\[ 7 \\text{ hours} \\times \\$15/\\text{hour} = \\$105 \\]\n\nOn Monday, she teaches more than 3 classes, so she receives an additional $5 per day. Since she teaches 4 classes, she qualifies for the extra $5.\n\nFor Wednesday, she teaches 2 classes, which is less than 3, so she does not qualify for the additional $5.\n\nTherefore, the total amount Tanya earned for these two days is:\n\\[ \\$105 + \\$5 = \\$110 \\]\n\n### Conclusion:\n\n\\[ \\boxed{110} \\]", "answer": {"result": 110}}, "matches": true} +{"solution": {"solution": "The perfume company sells 5 of each of the 4 vanilla scents, so they sell a total of 5 x 4 = 20 vanilla scents.\nThey also sell 2 of each of the 8 fruity scents, so they sell a total of 2 x 8 = 16 fruity scents.\nTo find out how many more vanilla scents sold compared with the fruity scents, we subtract the number of fruity scents sold from the number of vanilla scents sold: 20 - 16 = 4.\nTherefore, 4 more vanilla scents sold compared with the fruity scents.\n#### 4\nThe answer is: 4", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "Bennet sells 20 eggplants for $3 each, so he earns 20 * $3 = $60 from the eggplants.\nHe wants to make a total of $135, so he needs to earn $135 - $60 = $75 from the corn.\nHe has 25 ears of corn, so to make $75, he should sell each ear of corn for $75 / 25 = $3.\n#### 3\nThe answer is: 3", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "Tatiana has a total of 7 hours on Saturday and 5 hours on Sunday, so she has 7 + 5 = 12 hours in total.\n\nShe reads for 3 hours, so the remaining time is 12 - 3 = 9 hours.\n\nShe plays video games for 1/3 of the remaining time, so she plays video games for 9 * (1/3) = 3 hours.\n\nThe time left for soccer is the remaining time after subtracting the time spent on reading and video games, which is 9 - 3 = 6 hours.\n\nTo find the percentage of her weekend spent playing soccer, we divide the time spent on soccer by the total weekend hours and multiply by 100:\n\n(6 / 12) * 100 = 50%\n\nTherefore, Tatiana spends $\\boxed{50\\%}$ of her weekend playing soccer.The answer is: 50", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "\nAnthony gave 1/2 of his 50 pencils to Brandon, so he gave away 50 * 1/2 = 25 pencils.\n\nAfter giving away 25 pencils, Anthony had 50 - 25 = 25 pencils remaining.\n\nThen, Anthony gave 3/5 of the remaining 25 pencils to Charlie, which is 25 * 3/5 = 15 pencils.\n\nAfter giving away 15 pencils, Anthony had 25 - 15 = 10 pencils remaining.\n\nTherefore, Anthony kept 10 pencils.\n\nThe answer is: 10", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "Jack drives 150 miles to the museum and 150 miles back home, so the total distance he travels is 150 + 150 = 300 miles. \n\nHe drives at a speed of 75 mph, so the time it takes him to travel 300 miles is 300 miles / 75 mph = 4 hours. \n\nHe spends 6 hours at the museum. \n\nTherefore, the total time he is gone from home is 4 hours (travel time) + 6 hours (at the museum) = $\\boxed{10}$ hours. \n\nThe answer is: 10", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "Henry needs 4 wheels for each car, so for 57 cars, he will need 57 * 4 = 228 wheels.\nHe also needs 2 wheels for each motorcycle, so for 73 motorcycles, he will need 73 * 2 = 146 wheels.\nIn total, Henry will need 228 + 146 = 374 wheels to assemble all the toys.\nIf he has a box with 650 wheels, then he will have 650 - 374 = 276 wheels left.\n#### 276\nThe answer is: 276", "answer": {"result": 276}}, "matches": true} +{"solution": {"solution": "To calculate the amount you have to pay after a 20% discount, you first need to find the discount amount and then subtract it from the original price.\n\n1. Calculate the discount amount:\n Discount amount = Original price \u00d7 Discount percentage\n Discount amount = $1000 \u00d7 20/100\n Discount amount = $200\n\n2. Subtract the discount amount from the original price to find the final price:\n Final price = Original price - Discount amount\n Final price = $1000 - $200\n Final price = $800\n\nSo, after a 20% discount, you have to pay $800 for the laptop.", "answer": {"result": 800}}, "matches": true} +{"solution": {"solution": "Mike has 600 movies, and a third of them are in series, so he has 600/3 = 200 movies in series.\nIf he buys the series together, he can get them for $6 each, so the cost for the series movies is 200 * $6 = $1200.\nThe remaining movies are 600 - 200 = 400 movies.\n40% of these remaining movies are older movies, so he has 400 * 0.4 = 160 older movies.\nThe cost for these older movies is 160 * $5 = $800.\nThe remaining movies are 400 - 160 = 240 movies.\nAt a normal cost of $10 each, the cost for these movies is 240 * $10 = $2400.\nThe total cost for replacing the movie collection is $1200 + $800 + $2400 = $4400.\n#### 4400\nThe answer is: 4400", "answer": {"result": 4400}}, "matches": true} +{"solution": {"solution": "Winston picked 6 pounds of peaches at $2.00 per pound, so he spent 6 * $2.00 = $12.00 on peaches. \n\nWinston picked 8 pounds of plums at $1.00 per pound, so he spent 8 * $1.00 = $8.00 on plums. \n\nWinston picked 6 pounds of apricots at $3.00 per pound, so he spent 6 * $3.00 = $18.00 on apricots. \n\nTo find the total amount spent, we add the amounts spent on each type of fruit: $12.00 + $8.00 + $18.00 = $38.00. \n\nTherefore, Winston spent $\\boxed{\\$38.00}$ on fruit.The answer is: 38", "answer": {"result": 38}}, "matches": true} +{"solution": {"solution": "1. Calculate the total distance driven by the Llesis family:\n - They drove for 6 hours at an average speed of 50 miles per hour.\n - Total distance driven = \\(6 \\text{ hours} \\times 50 \\text{ miles/hour} = 300 \\text{ miles}\\).\n\n2. Determine the hiking speed:\n - The hiking speed is 5 miles per hour less than half their driving speed:\n - Half of the driving speed = \\(50 \\text{ miles/hour} / 2 = 25 \\text{ miles/hour}\\).\n - Hiking speed = \\(25 \\text{ miles/hour} - 5 \\text{ miles/hour} = 20 \\text{ miles/hour}\\).\n\n3. Calculate the distance they hiked:\n - They hiked for 1.5 hours at a speed of 20 miles per hour:\n - Distance hiked = \\(1.5 \\text{ hours} \\times 20 \\text{ miles/hour} = 30 \\text{ miles}\\).\n\n4. Find the total distance to the vacation spot:\n - Total distance = Distance driven + Distance hiked\n - Total distance = \\(300 \\text{ miles} + 30 \\text{ miles} = 330 \\text{ miles}\\).\n\n### Conclusion:\nThe vacation spot was located 330 miles from their starting point.\n\n\\[\n\\boxed{330 \\text{ miles}}\n\\]", "answer": {"result": 330}}, "matches": false} +{"solution": {"solution": "Let's calculate Ava's and Emma's scores step by step.\n\n1. Enemies jumped on:\n- Ava jumps on 8 more enemies than Emma.\n- Let's say Emma jumps on E enemies. Then Ava jumps on E + 8 enemies.\n- Points from enemies: Ava gets 10 * (E + 8) points, and Emma gets 10 * E points.\n\n2. Berries collected:\n- Ava collects 3 more berries than Emma.\n- Let's say Emma collects B berries. Then Ava collects B + 3 berries.\n- Points from berries: Ava gets 5 * (B + 3) points, and Emma gets 5 * B points.\n\n3. Timer left:\n- Ava finishes 4 seconds slower than Emma.\n- Let's say Emma finishes the level with T seconds left on the timer. Then Ava finishes with T - 4 seconds left.\n- Points from timer: Ava gets 30 * (T - 4) points, and Emma gets 30 * T points.\n\nNow, let's calculate the total score for both Ava and Emma.\n\nTotal score for Ava:\n10 * (E + 8) + 5 * (B + 3) + 30 * (T - 4)\n\nTotal score for Emma:\n10 * E + 5 * B + 30 * T\n\nThe difference between their scores is:\nTotal score for Ava - Total score for Emma\n\n= [10 * (E + 8) + 5 * (B + 3) + 30 * (T - 4)] - [10 * E + 5 * B + 30 * T]\n\n= (10 * E + 80 + 5 * B + 15 + 30 * T - 120) - (10 * E + 5 * B + 30 * T)\n\n= (80 + 15 - 120)\n\n= -25\n\nThe difference between their scores is $\\boxed{-25}$ .", "answer": {"result": -25}}, "matches": false} +{"solution": {"solution": "\nFirst, let's find out the total cost of the two pizzas that cost 30 dollars.\nThe total cost of these two pizzas is $30 + 30 = 60$ dollars.\n\nNext, we need to find the total cost of the other two pizzas.\nSince the total cost of all four pizzas is 64 dollars, the cost of the other two pizzas is $64 - 60 = 4$ dollars.\n\nSince the other two pizzas cost the same amount, each of them cost $4 / 2 = 2$ dollars.\n\nTherefore, each of the other two pizzas cost $\\boxed{2}$ dollars.The answer is: 2", "answer": {"result": 2}}, "matches": false} +{"solution": {"solution": "Chase and Rider ride their bikes thrice a day for 5 days, so they ride 3 x 5 = 15 times in total for the usual days.\nOn two other days, they ride twice the usual times, so they ride 3 x 2 = 6 times each of those days.\nTherefore, they ride 6 x 2 = 12 times on those two days.\nIn total, they ride their bikes 15 + 12 = 27 times in a week.\n#### 27\nThe answer is: 27", "answer": {"result": 27}}, "matches": false} +{"solution": {"solution": "Let's denote the number of white fish Bob bought as W and the number of orange fish as O.\n\nFrom the information given, we know that Bob initially had 3 orange fish and 4 white fish in his pond. So, after purchasing fish from the store, the number of fish in his pond became:\n\nTotal fish after purchase = Initial white fish + Initial orange fish + Bought white fish + Bought orange fish\nTotal fish after purchase = 4 + 3 + W + O\n\nWe also know that after adding the fish from the store, Bob had twice as many orange fish as white fish. So we can write the following equation:\n\nO = 2(W + 4)\n\nSince Bob bought 17 fish in total from the store, we can also say that:\n\nO + W = 17\n\nNow we have a system of two equations:\n\n1) O = 2(W + 4)\n2) O + W = 17\n\nWe can substitute the expression for O from equation 1 into equation 2:\n\n2(W + 4) + W = 17\n\nNow, let's solve for W:\n\n2W + 8 + W = 17\n3W + 8 = 17\n3W = 17 - 8\n3W = 9\nW = 9 / 3\nW = 3\n\nSo, Bob bought $\\boxed{3}$ white fish at the store.", "answer": {"result": 3}}, "matches": false} +{"solution": {"solution": "To calculate the weekly fuel consumption and cost for Andy's car, we follow these steps:\n\n1. **Calculate the daily commuting distance**: Since Andy's one-way distance to work is 5 miles, the total daily commuting distance is:\n \\[\n 5 \\, \\text{miles} \\times 2 = 10 \\, \\text{miles}\n \\]\n\n2. **Determine the gallons of gas used daily**: Given Andy's car fuel efficiency is 10 MPG, the amount of gas used for his daily commute is:\n \\[\n \\frac{10 \\, \\text{miles}}{10 \\, \\text{MPG}} = 1 \\, \\text{gallon}\n \\]\n\n3. **Calculate the weekly gas consumption**: Since Andy commutes to work from Monday to Friday, his weekly gas consumption is:\n \\[\n 1 \\, \\text{gallon/day} \\times 5 \\, \\text{days/week} = 5 \\, \\text{gallons/week}\n \\]\n\n4. **Compute the weekly fuel cost**: With the current price for regular gas being $3/gallon, the weekly fuel cost for Andy's car is:\n \\[\n 5 \\, \\text{gallons/week} \\times \\$3/\\text{gallon} = \\$15/\\text{week}\n \\]\n\nTherefore, Andy's car consumes $\\boxed{\\$15}$ in gas per week for his commute to work.", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "\nCarrie was given 10 twenties, so she had a total of 10 * $20 = $200.\n\nShe was also given 140 quarters, so she had a total of 140 * $0.25 = $35.\n\nCarrie spent all the quarters, so she paid $35 for the lunch.\n\nShe also spent 3/5 of the twenties, which is 3/5 * $200 = $120.\n\nTherefore, the total amount of money Carrie paid for the lunch is $35 + $120 = $155.\n\n#### 155\nThe answer is: 155", "answer": {"result": 155}}, "matches": true} +{"solution": {"solution": "To find the total number of fruits Ricardo can get from his plants, we need to calculate the number of tomatoes and eggplants separately and then add them together.\n\n1. Calculate the number of tomatoes:\n - Each tomato plant yields 22 tomatoes.\n - Ricardo planted 5 tomato plants.\n - Total tomatoes = 22 tomatoes/plant \u00d7 5 plants = 110 tomatoes.\n\n2. Calculate the number of eggplants:\n - Each eggplant plant yields 4 eggplants.\n - Ricardo planted 8 eggplant plants.\n - Total eggplants = 4 eggplants/plant \u00d7 8 plants = 32 eggplants.\n\n3. Add the total number of tomatoes and eggplants:\n - Total fruits = Total tomatoes + Total eggplants\n - Total fruits = 110 tomatoes + 32 eggplants = 142 fruits.\n\nThe final answer is $\\boxed{142}$.", "answer": {"result": 142}}, "matches": true} +{"solution": {"solution": "\nTo find out how many OLED TVs Samwell sold, we first need to calculate the number of smart TVs and analog TVs sold and then subtract these from the total number of TVs. \n\n1. Calculate the number of smart TVs sold:\n\\[ \\frac{1}{4} \\times 40 = 10 \\]\n\n2. Calculate the number of analog TVs sold:\n\\[ \\frac{1}{8} \\times 40 = 5 \\]\n\n3. Add the number of smart TVs and analog TVs to find the total number of these two types of TVs:\n\\[ 10 + 5 = 15 \\]\n\n4. Subtract the total number of smart TVs and analog TVs from the total number of TVs sold to find the number of OLED TVs sold:\n\\[ 40 - 15 = 25 \\]\n\nTherefore, Samwell was able to sell $\\boxed{25}$ OLED TVs this week.\n\nAnswer: 25", "answer": {"result": 25}}, "matches": true} +{"solution": {"solution": "The school has decided to cover half the cost of the trip, so they will contribute $300 / 2 = $150.\n\nJohn has $50, and the school will contribute $150, so the total amount of money they have together is $50 + $150 = $200.\n\nThe total cost of the trip is $300, so John is missing $300 - $200 = $\\boxed{\\$100}$ .", "answer": {"result": 100}}, "matches": true} +{"solution": {"solution": "To solve this problem, we follow these steps:\n\n1. Determine the temperature inside the house at night. Given that it's 33 degrees colder at night compared to the daytime temperature of 45 degrees, we calculate the nighttime temperature as follows:\n\\[45 \\, \\text{degrees} - 33 \\, \\text{degrees} = 12 \\, \\text{degrees}.\\]\n\n2. Calculate the required increase in temperature to prevent the pipes from freezing. Since the pipes freeze if the temperature falls below 32 degrees, Carson needs to raise the temperature to:\n\\[32 \\, \\text{degrees} + 5 \\, \\text{degrees} = 37 \\, \\text{degrees}.\\]\n\n3. Finally, determine how many logs Carson needs to burn to reach the required temperature. Given that each log increases the temperature by 5 degrees, and Carson needs a total increase of 37 degrees, the number of logs required is:\n\\[37 \\, \\text{degrees} / 5 \\, \\text{degrees/log} = 7.4 \\, \\text{logs}.\\]\n\nSince Carson can't burn a fraction of a log, he needs to burn at least 8 logs to ensure the temperature rises enough to keep the pipes from freezing.\n\nTherefore, Carson needs to burn $\\boxed{8}$ logs.", "answer": {"result": 8}}, "matches": false} +{"solution": {"solution": "If 9-person groups were formed, then the number of groups would be 90 / 9 = 10 groups.\n\nThree-fifths of the number of groups is (3/5) * 10 = 6 groups.\n\nIf each of these 6 groups brought back 2 seashells each, then the total number of seashells brought is 6 * 2 = $\\boxed{12}$ seashells.", "answer": {"result": 12}}, "matches": false} +{"solution": {"solution": "The train starts with 172 people.\nAt the first stop, 47 people get off, so we subtract 47 from 172 to get 172 - 47 = 125 people remaining on the train.\nThen, 13 more people get on, so we add 13 to 125 to get 125 + 13 = 138 people on the train.\nAt the next stop, another 38 people get off, so we subtract 38 from 138 to get 138 - 38 = 100 people on the train.\nTherefore, there are 100 people on the train.\n#### 100\nThe answer is: 100", "answer": {"result": 100}}, "matches": true} +{"solution": {"solution": "Damien finds 10 bottle caps a day, so in a month (30 days), he finds 10 x 30 = 300 bottle caps. \n\nEach bottle cap is worth $.25, so in total, he makes 300 x $.25 = $75 in a month. \n\n#### 75\nThe answer is: 75", "answer": {"result": 75}}, "matches": true} +{"solution": {"solution": "1. Calculate Jamie's regular hourly rate:\n \\[\n \\text{Regular Rate} = \\$20 \\text{ per hour}\n \\]\n\n2. Determine the special hourly rate:\n \\[\n \\text{Special Rate} = 150\\% \\times \\$20 = 1.5 \\times \\$20 = \\$30 \\text{ per hour}\n \\]\n\n3. Calculate the pay for the regular hours worked:\n \\[\n \\text{Regular Pay} = 8 \\times \\$20 = \\$160\n \\]\n\n4. Calculate the pay for the additional hours worked at the special rate:\n \\[\n \\text{Additional Hours} = 11 - 8 = 3 \\text{ hours}\n \\]\n \\[\n \\text{Special Pay} = 3 \\times \\$30 = \\$90\n \\]\n\n5. Sum the pay for both the regular and special hours:\n \\[\n \\text{Total Pay} = \\$160 + \\$90 = \\$250\n \\]\n\nConclusion:\nJamie was paid \\(\\boxed{\\$250}\\) for her work on Tuesday.", "answer": {"result": 250}}, "matches": true} +{"solution": {"solution": "The zookeeper counts 12 female lions. \n\nShe counts half as many male lions as female lions, so there are 12 / 2 = 6 male lions.\n\nThere are also 14 lion cubs.\n\nTo find the total number of lions in the enclosure, we add the number of female lions, male lions, and lion cubs: 12 + 6 + 14 = 32.\n\nTherefore, there are 32 lions in the enclosure.\n\n#### 32\nThe answer is: 32", "answer": {"result": 32}}, "matches": true} +{"solution": {"solution": "If the jeans are advertised 25% off, then the discount is 25/100 * $40 = $10.\nThe discounted price of the jeans is $40 - $10 = $30.\nIf Mike pays with a $50.00 bill, then he will have $50 - $30 = $20 left over.\n#### 20\nThe answer is: 20", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "The company hires 20 new employees every month, so after three months, the company will have hired a total of 20 * 3 = 60 new employees.\n\nThe initial employee number is 200, so after three months, the total number of employees will be 200 + 60 = 260.\n\nEach employee is paid a $4000 salary per month, so the total amount the company pays to its employees after three months is 260 * 4000 = $1,040,000.\n\n#### 1040000\nThe answer is: 1040000", "answer": {"result": 1040000}}, "matches": false} +{"solution": {"solution": "To find the total duration of the caroling, we need to calculate the total time spent singing \"Deck the Halls\" and \"Jingle Bells\" and then add them together.\n\n1. Calculate the total time for \"Deck the Halls\":\n - Since they sing \"Deck the Halls\" twice, the total time for \"Deck the Halls\" is:\n \\[\n 150 \\times 2 = 300 \\text{ seconds}\n \\]\n\n2. Calculate the total time for \"Jingle Bells\":\n - They sing \"Jingle Bells\" once, so the total time for \"Jingle Bells\" is:\n \\[\n 240 \\text{ seconds}\n \\]\n\n3. Sum the total times to find the overall duration of the caroling:\n - Adding the times for \"Deck the Halls\" and \"Jingle Bells\":\n \\[\n 300 + 240 = 540 \\text{ seconds}\n \\]\n\nThus, the total duration of the caroling is $\\boxed{540}$ seconds.", "answer": {"result": 540}}, "matches": true} +{"solution": {"solution": "Billy's starting salary is $10 per hour.\nAfter 2 months, he received a raise of $0.50 per hour, so his new salary is $10 + $0.50 = $10.50 per hour.\nAfter his first anniversary, he received another raise of $1.00 per hour, so his current salary is $10.50 + $1.00 = $11.50 per hour.\nIf Billy works 20 hours, he will earn 20 * $11.50 = $230.\nSally's starting salary is $0.50 more than Billy's starting salary, so her starting salary is $10 + $0.50 = $10.50 per hour.\nIf Sally works 20 hours, she will earn 20 * $10.50 = $210.\nBilly will earn $230 - $210 = $20 more than Sally.\n#### 20\nThe answer is: 20", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "To find out how much more 3 loaves of bread cost than 2 bagels, we need to calculate the total cost of the bread and the bagels separately and then compare the two amounts.\n\nThe cost of 1 loaf of bread is $2. Therefore, the cost of 3 loaves of bread is:\n3 loaves * $2/loaf = $6\n\nThe cost of 1 bagel is $1. Therefore, the cost of 2 bagels is:\n2 bagels * $1/bagel = $2\n\nNow, we compare the cost of the bread to the cost of the bagels:\n$6 (cost of 3 loaves of bread) - $2 (cost of 2 bagels) = $4\n\nSo, 3 loaves of bread cost $\\boxed{\\$4}$ more than 2 bagels.", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "Half of Pierson's score is 278 / 2 = 139.\nNikita scored 11 more than half of Pierson's score, so Nikita scored 139 + 11 = 150.\nThe total score for Pierson and Nikita is 278 + 150 = 428.\n#### 428\nThe answer is: 428", "answer": {"result": 428}}, "matches": true} +{"solution": {"solution": "\n\nTo find the total number of trees planted at the end of the campaign, we need to calculate the number of trees planted by students and the number of trees planted by teachers separately, and then add them together.\n\n1. **Calculate the number of students:**\n\nThere are 40 classes with an average of 25 students per class.\n\n\\[ \\text{Total number of students} = 40 \\times 25 = 1000 \\]\n\n2. **Calculate the number of trees planted by students:**\n\nEach student plants 1 tree.\n\n\\[ \\text{Total trees planted by students} = 1000 \\times 1 = 1000 \\]\n\n3. **Calculate the number of teachers:**\n\nThere are 40 classes with 3 teachers per class.\n\n\\[ \\text{Total number of teachers} = 40 \\times 3 = 120 \\]\n\n4. **Calculate the number of trees planted by teachers:**\n\nEach teacher plants 2 trees.\n\n\\[ \\text{Total trees planted by teachers} = 120 \\times 2 = 240 \\]\n\n5. **Calculate the total number of trees planted:**\n\nAdd the trees planted by students and teachers.\n\n\\[ \\text{Total trees planted} = 1000 + 240 = 1240 \\]\n\n### Conclusion:\n\nThe total number of trees planted at the end of the campaign is:\n\n\\[\n\\boxed{1240}\n\\]", "answer": {"result": 1240}}, "matches": true} +{"solution": {"solution": "First, let's find out the total number of stuffed animals Bubbles currently has. We add up the number of each type of stuffed animal:\n\nPuppies: 3\nKoalas: 5\nZebras: 2\nFrogs: 4\n\nTotal stuffed animals = 3 + 5 + 2 + 4 = 14\n\nBubbles wants the stuffed goats to make up 30% of all her stuffed animals. To find out how many stuffed goats she needs, we calculate 30% of 14:\n\n30% of 14 = 0.30 * 14 = 4.2\n\nSince she can't buy a fraction of a stuffed animal, she needs to round up to the nearest whole number. Therefore, Bubbles should buy 5 stuffed goats.\n\nSo, Bubbles should buy 5 stuffed goats.\n\n#### 5\nThe answer is: 5", "answer": {"result": 5}}, "matches": false} +{"solution": {"solution": "Kris plays for half an hour every day for 2 weeks, so she plays 0.5 hours/day x 14 days = 7 hours.\n\nThen, she plays for 2 hours every day for a week, so she plays 2 hours/day x 7 days = 14 hours.\n\nIn total, Kris has played 7 hours + 14 hours = 21 hours.\n\nShe needs to play for 30 hours in total to earn the achievement.\n\nTherefore, she still needs to play 30 hours - 21 hours = 9 hours.\n\n#### 9\nThe answer is: 9", "answer": {"result": 9}}, "matches": true} +{"solution": {"solution": "The second car is traveling at an average speed of 70 miles per hour, so in 2 hours, it will have traveled 70 * 2 = 140 miles.\n\nThe first car is traveling at an average speed of 60 miles per hour, so in 2 hours, it will have traveled 60 * 2 = 120 miles.\n\nSince both cars continue on the highway at the same speed, the distance between them after 2 hours will be the difference in their distances traveled, which is 140 - 120 = $\\boxed{20}$ miles.The answer is: 20", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "The cost of the diamond is $600.\nThe cost of the gold is $300.\nThe total cost of the ring before the premium is $600 + $300 = $900.\n\nJames pays a 30% premium for the ring to be made.\nTo calculate the premium, we multiply the total cost by 30%: $900 * 0.30 = $270.\n\nThe total cost of the ring including the premium is $900 + $270 = $1170.\n\nTherefore, James paid $1170 for the ring.\n\n#### 1170\nThe answer is: 1170", "answer": {"result": 1170}}, "matches": true} +{"solution": {"solution": "First, let's find the number of students who passed in each grade:\n- Third-graders: 340 out of 500 passed, so the pass rate is 340/500 = 0.68 or 68%\n- Fourth-graders: 40 out of 100 passed, so the pass rate is 40/100 = 0.4 or 40%\n\nThe problem states that the fifth-grade pass rate is twice that of the fourth-grade pass rate.\n- Fifth-grade pass rate = 2 * 0.4 = 0.8 or 80%\n\nNow, let's calculate the total number of students who passed across all grades:\n- Total passed = 340 (third-graders) + 40 (fourth-graders) + 0.8 * 400 (fifth-graders)\n- Total passed = 340 + 40 + 320 = 700\n\nNext, calculate the total number of students across all grades:\n- Total students = 500 (third-graders) + 100 (fourth-graders) + 400 (fifth-graders) = 1000\n\nFinally, find the school's overall pass rate:\n- Overall pass rate = Total passed / Total students = 700 / 1000 = 0.7 or 70%\n\nThus, the school's overall pass rate is $\\boxed{70\\%}$.The answer is: 70", "answer": {"result": 70}}, "matches": true} +{"solution": {"solution": "To determine how many inches long Milo's mosaic can be, we start by calculating the total number of glass chips Milo has. Since each bag holds 72 chips and he has two bags, he has a total of:\n\n\\[72 \\times 2 = 144 \\text{ chips}\\]\n\nNext, we need to find out how many square inches of mosaic Milo can create with these chips. Given that it takes 12 chips to make every square inch of the mosaic, the number of square inches Milo can cover with 144 chips is:\n\n\\[144 \\div 12 = 12 \\text{ square inches}\\]\n\nFinally, to find out how many inches long his mosaic can be, we multiply the number of square inches by the desired height of the mosaic, which is 3 inches:\n\n\\[12 \\times 3 = 36 \\text{ inches}\\]\n\nTherefore, Milo can make his mosaic 36 inches long.\n\nSo, the final answer, encapsulated as requested, is $\\boxed{36}$ inches long.", "answer": {"result": 36}}, "matches": false} +{"solution": {"solution": "First, calculate the total amount of tea consumed by the students who drank 1.5 quarts each:\n- There are 4 students, each drinking 1.5 quarts.\n- Total consumed by these students = \\(4 \\times 1.5 = 6\\) quarts.\n\nNext, calculate the total amount of tea consumed by the students who drank 2 quarts each:\n- There are 16 students, each drinking 2 quarts.\n- Total consumed by these students = \\(16 \\times 2 = 32\\) quarts.\n\nAdd these amounts together to find the total tea consumed:\n- Total consumed = \\(6 + 32 = 38\\) quarts.\n\nNow, subtract the total consumed from the remaining tea to find the original amount:\n- Original amount = \\(10 + 38 = 48\\) quarts.\n\nFinally, convert quarts to gallons (1 gallon = 4 quarts):\n- Original amount in gallons = \\(\\frac{48}{4} = 12\\) gallons.\n\nConclusion:\nThe party began with $\\boxed{12}$ gallons of tea.", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "Dale initially ordered 100 butterscotch candies and ended up selling 150, which means he sold 150 - 100 = 50 more candies than he initially ordered.\n\nHe then ordered another 100 candies, so the total number of candies he has now is 100 (initial order) + 100 (additional order) = 200 candies.\n\nSince he sold 50 more candies than he initially ordered, the total number of candies he has now is 200 (total from orders) + 50 (extra sold) = 250 candies.\n\nDale's goal was to sell 150 candies (the amount he sold before ordering more), and he now has 250 candies in total. To find out how many more candies he needs to sell to sell all of his candy, we subtract the amount he has already sold from the total he has:\n\n250 (total candies) - 150 (candies sold) = 100 candies remaining to sell.\n\nDale still needs to sell $\\boxed{100}$ candies to sell all of his candy.", "answer": {"result": 100}}, "matches": false} +{"solution": {"solution": "At the end of the first month, the number of students doubles from 10 to 10 * 2 = 20 students.\nAt the end of the second month, the number of students doubles again to 20 * 2 = 40 students.\nAt the end of the third month, the number of students doubles again to 40 * 2 = 80 students.\nAt the end of the fourth month, the number of students doubles again to 80 * 2 = 160 students.\nAt the end of the fifth month, the number of students doubles again to 160 * 2 = 320 students.\nTherefore, by the end of May, there would be an additional 320 - 10 = 310 students on campus, above and beyond the number of students already on campus at the beginning of the year.\n#### 310\nThe answer is: 310", "answer": {"result": 310}}, "matches": true} +{"solution": {"solution": "To find the average number of branches Felix climbed per day, we need to divide the total amount of money he made by the number of days in the week.\n\nFirst, let's convert the total amount of money he made into the number of branches he climbed. Since he charges $.25 per branch, we divide $105 by $.25:\n\n$105 / $.25 = 420 branches\n\nNow, we know that Felix worked for the entire week, which consists of 7 days. To find the average number of branches he climbed per day, we divide the total number of branches by the number of days:\n\n420 branches / 7 days = 60 branches per day\n\nSo, on average, Felix climbed $60$ branches per day.", "answer": {"result": 60}}, "matches": true} +{"solution": {"solution": "Rose starts off by picking 3 flowers with 5 petals each, so she has 3 * 5 = 15 petals. \n\nShe then picks 4 flowers with 6 petals each, adding 4 * 6 = 24 petals. \n\nNext, she adds 5 flowers with 4 petals each, contributing 5 * 4 = 20 petals. \n\nLastly, she picks 6 flowers with 7 petals each, adding 6 * 7 = 42 petals. \n\nSo far, Rose has picked a total of 15 + 24 + 20 + 42 = 101 petals. \n\nHowever, she drops 1 of each type of flower, so she loses 1 * (1 + 4 + 5 + 6) = 16 petals. \n\nAfter dropping the flowers, Rose puts the remaining petals in the vase, which is 101 - 16 = 85 petals. \n\nTherefore, there are $\\boxed{85}$ petals on the flowers in the vase.", "answer": {"result": 85}}, "matches": false} +{"solution": {"solution": "First, let's find out how many marshmallows were used to make the 9 S'mores each kid made. \n\n9 S'mores per kid * 2 kids = 18 marshmallows used\n\nNow, let's subtract the marshmallows dropped on the ground.\n\n18 marshmallows used + 3 dropped = 21 marshmallows\n\nNow we need to find out how many marshmallows are left in the bag.\n\n35 marshmallows in the bag - 21 marshmallows used and dropped = 14 marshmallows left\n\nSince each S'more uses one marshmallow, each kid can make 14 S'mores with the remaining marshmallows.\n\n14 marshmallows left / 1 marshmallow per S'more = 14 S'mores\n\nTherefore, each kid can have $\\boxed{14}$ more S'mores with the marshmallows left in the bag.", "answer": {"result": 14}}, "matches": false} +{"solution": {"solution": "First, let's determine how long each person can play:\n\n- Jack can play for 20 minutes with 1 quarter.\n- Two of his friends can play for half as long as Jack, so they can play for 20 minutes / 2 = 10 minutes each.\n- One friend is significantly better and can play for 1.5 times as long as Jack, so they can play for 20 minutes * 1.5 = 30 minutes each.\n\nNow, let's calculate how many games each person can play:\n\n- Jack can play 4 hours = 4 * 60 minutes = 240 minutes. Since he plays for 20 minutes per game, he can play 240 minutes / 20 minutes per game = 12 games.\n- Each of Jack's friends who can play for 10 minutes can play 240 minutes / 10 minutes per game = 24 games.\n- The friend who can play for 30 minutes can play 240 minutes / 30 minutes per game = 8 games.\n\nNow, let's calculate the total number of games played by all friends:\n\n- The two friends who can play for 10 minutes each: 24 games each = 24 * 2 = 48 games.\n- The friend who can play for 30 minutes: 8 games.\n\nTotal games played by friends = 48 + 8 = 56 games.\n\nSince Jack plays 12 games, the total number of games played by all four friends is 56 + 12 = 68 games.\n\nNow, let's calculate the total cost:\n\n- Each game costs 1 quarter, so for 68 games, they would need 68 quarters.\n\nTo find out how much money is used, we need to convert quarters to dollars:\n\n- There are 25 cents in a quarter, so 68 quarters = 68 * 25 cents = 1700 cents.\n- There are 100 cents in a dollar, so 1700 cents = 17 dollars.\n\nTherefore, $\\boxed{17}$ dollars are used in total.", "answer": {"result": 17}}, "matches": false} +{"solution": {"solution": "1. Let the amount of salt Tanya uses be $s$ ounces.\n2. According to the problem, Tanya uses twice as much oil as salt, so the amount of oil is $2s$ ounces.\n3. The amount of salt is also equal to the amount of sugar, so the amount of sugar is $s$ ounces.\n4. The amount of citrus zest is equal to the amount of fragrance, and both are equal to the amount of salt, which is $s$ ounces.\n5. The total amount of the ingredients (salt, sugar, zest, fragrance, and oil) must fill a 10-ounce jar. Therefore, we have:\n \\[\n s + s + s + s + 2s = 10\n \\]\n6. Simplify the equation:\n \\[\n 6s = 10\n \\]\n7. Solve for $s$:\n \\[\n s = \\frac{10}{6} = \\frac{5}{3} \\text{ ounces}\n \\]\n8. Calculate the amount of oil, which is twice the amount of salt:\n \\[\n 2s = 2 \\times \\frac{5}{3} = \\frac{10}{3} \\text{ ounces}\n \\]\n9. Conclusion:\n \\[\n \\boxed{\\frac{10}{3}}\n \\text{ ounces of oil}\n \\]", "answer": {"result": 0.6666666666666666}}, "matches": false} +{"solution": {"solution": "\nTo find out how much money John spent, we need to calculate the cost of the goats and the cost of the cows separately and then add them together.\n\nThe cost of buying 3 goats at $500 each is:\n3 goats * $500/goat = $1500\n\nThe cost of buying 2 cows at $1500 each is:\n2 cows * $1500/cow = $3000\n\nNow, we add the cost of the goats and the cows to find the total amount spent:\n$1500 (goats) + $3000 (cows) = $4500\n\nTherefore, John spent a total of $\\boxed{\\$4500}$ at the market.\n\nAnswer: \\\nThe total amount of money John spent is $\\boxed{\\$4500}$ .", "answer": {"result": 4500}}, "matches": true} +{"solution": {"solution": "Paul already has 8 chocolate cupcakes and 40 toffee cupcakes, which totals 8 + 40 = 48 cupcakes. \n\nHe needs 63 cupcakes in total. \n\nTo find out how many more cupcakes Paul should buy, subtract the number of cupcakes he already has from the total number he needs: 63 - 48 = 15.\n\nPaul should buy $\\boxed{15}$ more cupcakes.", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "If Robert has 20 cars, then Joe has twice as many cars, which means Joe has 2 * 20 = 40 cars.\n\nJoe sells 20% of his 40 cars. To find out how many he sells, we calculate 20% of 40:\n\n20% of 40 = 0.20 * 40 = 8 cars sold.\n\nJoe gives away twice as many cars as the number he sold to his mother. So, he gives away 2 * 8 = 16 cars.\n\nNow, let's calculate how many cars Joe has left after selling and giving some to his mother:\n\n40 cars (initial) - 8 cars (sold) - 16 cars (given away) = 16 cars remaining.\n\nJoe remains with $\\boxed{16}$ cars after selling and giving some to his mother.", "answer": {"result": 16}}, "matches": true} +{"solution": {"solution": "To find out how much each student raised, we first need to determine the total amount raised by the students. We know that the charity raised a total of $175,000, and $50,000 of that came from organizations. So, we subtract the amount from organizations from the total amount raised to find the amount raised by the students:\n\n$175,000 (total raised) - $50,000 (from organizations) = $125,000 (raised by students)\n\nNext, we divide the total amount raised by the students by the number of students to find out how much each student raised:\n\n$125,000 (raised by students) / 20 students = $6,250 per student\n\nTherefore, each student raised $6,250 for the charity.\n\nTo write this in a more formal step-by-step format:\n\n1. Calculate the total amount raised by students:\n\\[ \\$175,000 - \\$50,000 = \\$125,000 \\]\n\n2. Divide the total amount raised by students by the number of students to find the contribution per student:\n\\[ \\frac{\\$125,000}{20} = \\$6,250 \\]\n\nSo, each student raised $\\boxed{\\$6,250}$.", "answer": {"result": 6250}}, "matches": true} +{"solution": {"solution": "\nSandy walked from Holloway Shores to Sun Valley Shores for 8 hours, which is equal to 8 hours * 60 minutes/hour = 480 minutes.\n\nOn the second day, she walked half as many hours as she walked on the first day. So, half of 8 hours is 8 hours / 2 = 4 hours.\n\nWalking 4 hours is equal to 4 hours * 60 minutes/hour = 240 minutes.\n\nThe total time Sandy took to walk in the two days is 480 minutes + 240 minutes = 720 minutes.\n\n#### 720\nThe answer is: 720", "answer": {"result": 720}}, "matches": true} +{"solution": {"solution": "Hunter initially counted 50 cars in the parking lot. \n\nDuring the first break, he counted 20 more cars, so the total number of cars became 50 + 20 = 70 cars.\n\nBefore the lunch break, he realized that half of the cars had gone, which means 1/2 * 70 = 35 cars had left the parking lot.\n\nTherefore, during the lunch break, the number of cars he counted would be the original number in the parking lot minus the number that had gone, which is 70 - 35 = 35 cars. \n\nSo, Hunter counted $\\boxed{35}$ cars during the lunch break.", "answer": {"result": 35}}, "matches": true} +{"solution": {"solution": "John does 30 cycles of work a day, and each cycle has 5 different tasks. So, he completes 30 x 5 = 150 tasks in a day.\n\nEach task pays $1.20, so in a day, he makes 150 x $1.20 = $180.\n\nIf he works a full 7-day week, he would make 7 x $180 = $1260.\n\nTherefore, John would make $1260 in a full 7-day week.\n\n#### 1260\nThe answer is: 1260", "answer": {"result": 1260}}, "matches": true} +{"solution": {"solution": "\n\nIn the first game, Sasha scored 14 points. Julie scored 4 fewer points than Sasha, so Julie scored 14 - 4 = 10 points in the first game.\n\nIn the second game, Sasha scored 6 fewer points than Julie's score in the first game. Since Julie scored 10 points in the first game, Sasha scored 10 - 6 = 4 points in the second game.\n\nTo find the total points Sasha scored during both games, we add the points from the first game and the second game: 14 points (first game) + 4 points (second game) = 18 points.\n\nSasha scored a total of 18 points during both games.\n\nAnswer:\n\n42\n\n#### 42\nThe answer is: 42", "answer": {"result": 42}}, "matches": false} +{"solution": {"solution": "Kimberly bought 8 packages of cat food, and each package contained 11 tins, so she bought a total of 8 * 11 = 88 tins of cat food.\n\nShe also bought 6 packages of dog food, and each package contained 6 tins, so she bought a total of 6 * 6 = 36 tins of dog food.\n\nTo find out how many more tins of cat food than dog food she bought, we subtract the number of tins of dog food from the number of tins of cat food: 88 - 36 = 52.\n\nKimberly bought $\\boxed{52}$ more tins of cat food than dog food.", "answer": {"result": 52}}, "matches": true} +{"solution": {"solution": "Let's denote the number of cards PJ has as P. According to the problem, Smendrick has 3 times the amount of cards that PJ has, so Smendrick has 3P cards. Becca has 12 more cards than Smendrick, so Becca has 3P + 12 cards.\n\nThe total number of cards is 341, so we can write the equation:\n\nP + 3P + (3P + 12) = 341\n\nCombining like terms, we get:\n\n7P + 12 = 341\n\nSubtracting 12 from both sides, we get:\n\n7P = 329\n\nDividing both sides by 7, we find:\n\nP = 47\n\nNow that we know PJ has 47 cards, we can find out how many cards Becca has:\n\nBecca = 3P + 12\nBecca = 3(47) + 12\nBecca = 141 + 12\nBecca = 153\n\nBecca has $\\boxed{153}$ cards.The answer is: 153", "answer": {"result": 153}}, "matches": true} +{"solution": {"solution": "Cindy had 5 green eggs. \n\nShe had twice as many blue eggs as green ones, so she had 5 * 2 = 10 blue eggs.\n\nShe had one fewer pink eggs than blue eggs, so she had 10 - 1 = 9 pink eggs.\n\nShe had one-third as many yellow eggs as pink eggs, so she had 9 / 3 = 3 yellow eggs.\n\nIn total, Cindy had 5 green + 10 blue + 9 pink + 3 yellow = $\\boxed{27}$ eggs.", "answer": {"result": 27}}, "matches": true} +{"solution": {"solution": "First, let's calculate the cost of shipping the book. The book weighs 4 pounds, so the weight cost is 4 pounds * $0.35/pound = $1.40. The book is being sent 20 miles, so the distance cost is 20 miles * $0.08/mile = $1.60.\n\nNow, let's add the weight cost and the distance cost to find the total shipping cost: $1.40 + $1.60 = $3.00.\n\nNext, we need to determine the refund Milly will receive from Amazon. They will refund 75% of the book's purchase price, which is $32. So, the refund amount is 75% * $32 = $24.\n\nTo find out how much money Milly will lose, we subtract the refund from the total cost of returning the book: $3.00 (shipping) + $32 (book cost) - $24 (refund) = $11.\n\nMilly will lose $11 in total.\n\nThe answer is: 11", "answer": {"result": 11}}, "matches": true} +{"solution": {"solution": "Mulan starts with $40. Her father gives her an additional $100, so she now has $40 + $100 = $140. \n\nShe buys two pairs of jeans at $30 each, so that's 2 * $30 = $60. \n\nShe also buys a bag for $20. \n\nThe total amount spent is $60 (for the jeans) + $20 (for the bag) = $80. \n\nTo find out how much money she has left, we subtract the total amount spent from the total amount she had: $140 - $80 = $60. \n\nMulan has $\\boxed{\\$60}$ left.", "answer": {"result": 60}}, "matches": true} +{"solution": {"solution": "\nTo find out how many bars of chocolate Boris produces in the fourth week, we need to calculate the total production for the first three weeks and then subtract that from the monthly total.\n\nFirst week production: 8,000 bars\nSecond week production: 8,000 / 2 = 4,000 bars\nThird week production: 8,000 * 3 = 24,000 bars\n\nTotal production for the first three weeks: 8,000 + 4,000 + 24,000 = 36,000 bars\n\nMonthly total production: 50,000 bars\n\nProduction in the fourth week: 50,000 - 36,000 = 14,000 bars\n\nSo, Boris produces 14,000 bars of chocolate in the fourth week.\n\nAnswer:\n\n14,000", "answer": {"result": 14000}}, "matches": true} +{"solution": {"solution": "To calculate the total time Britany spends on TikTok in a month, we need to consider three main activities: recording videos, writing songs, and doing her makeup. \n\n1. **Recording Videos:**\n - Britany records 18 videos each week, with each video lasting 4 minutes.\n - The total time spent on recording videos each week is calculated as follows:\n \\[\n 18 \\text{ videos} \\times 4 \\text{ minutes/video} = 72 \\text{ minutes}\n \\]\n - Over four weeks, the total time spent recording videos is:\n \\[\n 72 \\text{ minutes/week} \\times 4 \\text{ weeks} = 288 \\text{ minutes}\n \\]\n\n2. **Writing Songs:**\n - Britany spends 2 hours a week writing amateur songs for TikTok.\n - Since 1 hour has 60 minutes, her weekly songwriting time in minutes is:\n \\[\n 2 \\text{ hours} \\times 60 \\text{ minutes/hour} = 120 \\text{ minutes}\n \\]\n - Over four weeks, the total time spent writing songs is:\n \\[\n 120 \\text{ minutes/week} \\times 4 \\text{ weeks} = 480 \\text{ minutes}\n \\]\n\n3. **Doing Her Makeup:**\n - Britany spends 15 minutes six days a week doing her makeup.\n - The total time spent doing her makeup each week is:\n \\[\n 15 \\text{ minutes/day} \\times 6 \\text{ days/week} = 90 \\text{ minutes}\n \\]\n - Over four weeks, the total time spent doing her makeup is:\n \\[\n 90 \\text{ minutes/week} \\times 4 \\text{ weeks} = 360 \\text{ minutes}\n \\]\n\n4. **Total Time Spent on TikTok in a Month:**\n - Adding up the time spent on each activity over the four weeks gives us the total time:\n \\[\n 288 \\text{ minutes (videos)} + 480 \\text{ minutes (songs)} + 360 \\text{ minutes (makeup)} = 1128 \\text{ minutes}\n \\]\n - Converting minutes to hours (since there are 60 minutes in an hour), we get:\n \\[\n 1128 \\text{ minutes} \\div 60 = 18.8 \\text{ hours}\n \\]\n\nTherefore, the total time Britany spends on TikTok in a month is $\\boxed{18.8 \\text{ hours}}$.", "answer": {"result": 18.8}}, "matches": false} +{"solution": {"solution": "Angela needs 6 mirrors installed, and the firm charges an additional $15.00 per mirror beyond the initial 4. So, for the mirrors, she will be charged:\n\n6 mirrors - 4 included mirrors = 2 additional mirrors\n2 additional mirrors * $15.00 per mirror = $30.00\n\nShe also needs 2 chandeliers installed, and the firm charges an additional $15.00 per chandelier beyond the initial 1. So, for the chandeliers, she will be charged:\n\n2 chandeliers - 1 included chandelier = 1 additional chandelier\n1 additional chandelier * $15.00 per chandelier = $15.00\n\nShe has 20 pictures to be installed, and the firm charges an additional $15.00 per picture beyond the initial 10. So, for the pictures, she will be charged:\n\n20 pictures - 10 included pictures = 10 additional pictures\n10 additional pictures * $15.00 per picture = $150.00\n\nThe base installation cost is $129.00. Adding the additional charges for the mirrors, chandeliers, and pictures, the total cost will be:\n\n$129.00 (base installation) + $30.00 (mirrors) + $15.00 (chandeliers) + $150.00 (pictures) = $324.00\n\nTherefore, the total cost for Angela will be $\\boxed{\\$324.00}$ .", "answer": {"result": 324}}, "matches": true} +{"solution": {"solution": "Eva has saved $20.00. \n\nAnthony has saved $10.00 more than Eva, so Anthony has saved $20.00 + $10.00 = $30.00.\n\nRoy has saved 40% more than Anthony, which means Roy has saved an additional 40/100 * $30.00 = $12.00 more than Anthony.\n\nTherefore, Roy has saved $30.00 + $12.00 = $\\boxed{\\$42.00}$ .", "answer": {"result": 42}}, "matches": true} +{"solution": {"solution": "Let's solve this step by step:\n\n1. Pompei can lift a mountain 1 inch.\n2. Saskay can lift a mountain 12 times higher than Pompei. So, Saskay can lift a mountain 12 inches.\n3. Kagiyami can lift a mountain 4 times higher than Saskay. So, Kagiyami can lift a mountain 4 * 12 = 48 inches.\n4. Naruto can lift a mountain 10 times higher than Kagiyami. So, Naruto can lift a mountain 10 * 48 = 480 inches.\n\nNow, we need to convert inches to feet. There are 12 inches in a foot.\n\nSo, 480 inches / 12 inches per foot = 40 feet.\n\nTherefore, Naruto can lift a mountain 40 feet high.\n\nThe final answer is 40 feet.", "answer": {"result": 40}}, "matches": true} +{"solution": {"solution": "If Mason is traveling at a rate of 8 miles per hour, then in 4 hours he would have traveled 4 hours * 8 miles/hour = 32 miles.\nAfter taking some rest, he continues his journey for another 6 hours, so he would have traveled 6 hours * 8 miles/hour = 48 miles.\nIn total, Mason has traveled 32 miles + 48 miles = 80 miles.\n#### 80\nThe answer is: 80", "answer": {"result": 80}}, "matches": true} +{"solution": {"solution": "1. If three kangaroos traveling at the same speed take 18 hours to cross the highway, then one kangaroo would take \\( \\frac{18}{3} = 6 \\) hours to cross.\n2. The speed of one kangaroo is \\( \\frac{1}{6} \\) highway per hour.\n3. A turtle travels at half the speed of a kangaroo, so the speed of one turtle is \\( \\frac{1}{2} \\times \\frac{1}{6} = \\frac{1}{12} \\) highway per hour.\n4. Four turtles together travel at \\( 4 \\times \\frac{1}{12} = \\frac{1}{3} \\) highway per hour.\n5. To cross the entire highway, it will take \\( \\frac{1}{\\frac{1}{3}} = 3 \\) hours for four turtles.\n\nConclusion:\nIt will take four turtles 3 hours to travel across the highway. \n\n\\[\n\\boxed{3 \\text{ hours}}\n\\]", "answer": {"result": 3}}, "matches": false} +{"solution": {"solution": "If Kora made 20 dishes, then Rory made 20 + 20 = 40 dishes. \n\nJada made twice as many as Rory, so Jada made 40 * 2 = 80 dishes. \n\nTogether, they made 20 (Kora) + 40 (Rory) + 80 (Jada) = $\\boxed{140}$ clay dishes.", "answer": {"result": 140}}, "matches": true} +{"solution": {"solution": "Let's calculate the total amount Erika has now after her mom's contribution and her part-time job earnings. \n\nHer mom gives her $80, and she earns $150 from her part-time job. \n\nTotal amount from mom and job: $80 + $150 = $230\n\nErika needs an extra $50 to buy the laptop after the trade-in discount. \n\nTotal amount Erika needs for the laptop: $600 (original price) - $200 (trade-in discount) = $400\n\nSince she needs an extra $50, we subtract that from the total amount she needs to find out how much she has saved so far.\n\nAmount she needs = $400 - $50 = $350\n\nNow we know she has $350 from her savings and the money from her mom and job. To find out how much she had in her purse, we subtract the amount from her mom and job from her total savings.\n\nAmount in her purse = Total amount she has now - Amount from mom and job\nAmount in her purse = $350 - $230 = $120\n\nErika has $\\boxed{\\$120}$ in her purse.", "answer": {"result": 120}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's break it down step by step:\n\n1. First, calculate the total number of slices from the large apples:\n - Each large apple can be sliced into 5 pieces.\n - Adam slices 3 large apples.\n - Therefore, the total slices from large apples are $3 \\times 5 = 15$.\n\n2. Next, calculate the total number of slices from the small apples:\n - Each small apple can be sliced into 3 pieces.\n - Adam slices 5 small apples.\n - Therefore, the total slices from small apples are $5 \\times 3 = 15$.\n\n3. Add the total slices from large and small apples to find the grand total:\n - Total slices = slices from large apples + slices from small apples\n - Total slices = $15 + 15 = 30$.\n\n4. Finally, subtract the slices Adam has eaten from the total slices to find how many are left:\n - Slices eaten = 15.\n - Slices left = Total slices - Slices eaten\n - Slices left = $30 - 15 = 15$.\n\nTherefore, the number of apple slices Adam has left is $\\boxed{15}$.", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "\nThe current total milk production from 3 cows is 5 liters/cow \u00d7 3 cows = 15 liters/day. \n\nTo reach 25 liters of milk per day, the farmer needs an additional 25 liters/day - 15 liters/day = 10 liters/day. \n\nSince each cow produces 5 liters/day, the farmer needs 10 liters/day \u00f7 5 liters/cow = 2 more cows. \n\nAnswer: The farmer needs 2 more cows to produce 25 liters of milk a day.\n\nAnswer: \\boxed{2}", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "To find the total length of the glue sticks that are not used, we first need to determine the length of each partially used glue stick and then sum them up.\n\n1. For the first glue stick, which has 1/6 left, we calculate the length of the used part as follows:\n\\[12 \\times \\frac{5}{6} = 10 \\text{ millimeters}\\]\n\n2. For the second glue stick, which has 2/3 left, we find the length of the used part:\n\\[12 \\times \\frac{1}{3} = 4 \\text{ millimeters}\\]\n\n3. For the third glue stick, which has 1/2 left, we calculate the length of the used part:\n\\[12 \\times \\frac{1}{2} = 6 \\text{ millimeters}\\]\n\nNow, we add up the used lengths of all three glue sticks to find the total used length:\n\\[10 + 4 + 6 = 20 \\text{ millimeters}\\]\n\nFinally, to find the total length of the glue sticks that are not used, we subtract the total used length from the original length of three glue sticks (36 millimeters):\n\\[36 - 20 = 16 \\text{ millimeters}\\]\n\nTherefore, the total length of the glue sticks that are not used is $\\boxed{16}$ millimeters.", "answer": {"result": 16}}, "matches": true} +{"solution": {"solution": "Gabriel wants to buy a car for $10000 and a phone for $800, so the total cost is $10000 + $800 = $10800.\nGabriel has $5000 from working on weekends and his brother gave him $200, so he has $5000 + $200 = $5200.\nTo find out how much money he still needs, we subtract the amount he has from the total cost: $10800 - $5200 = $5600.\nTherefore, Gabriel still needs $5600 to buy the car and phone.\n#### 5600\nThe answer is: 5600", "answer": {"result": 5600}}, "matches": true} +{"solution": {"solution": "Thea gave the craftsman four $20 bills, so she gave a total of 4 * $20 = $80.\n\nThe hat was worth $70, so Thea's change is $80 - $70 = $10. \n\nTherefore, Thea got $\\boxed{\\$10}$ in change.", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "Craig has 2 twenty dollar bills, so he has 2 * $20 = $40.\n\nHe buys 6 squirt guns for $2 each, so the total cost of the squirt guns is 6 * $2 = $12.\n\nHe also buys 3 packs of water balloons for $3 each, so the total cost of the water balloons is 3 * $3 = $9.\n\nThe total cost of the squirt guns and water balloons is $12 + $9 = $21.\n\nCraig started with $40 and spent $21, so he has $40 - $21 = $\\boxed{\\$19}$ left.", "answer": {"result": 19}}, "matches": true} +{"solution": {"solution": "If jack collected 60 dishes, and Peter has half times as many dishes as jack, then Peter has 60/2 = 30 dishes.\n\nIf Peter has twice as many socks as jack, then jack has 60/2 = 30 socks.\n\nThe total number of dishes they have together is 60 (jack's dishes) + 30 (Peter's dishes) = 90 dishes.\n\nThe total number of socks they have together is 30 (jack's socks) + 60 (Peter's socks) = 90 socks.\n\nTherefore, the total number of socks and dishes they have together is 90 dishes + 90 socks = $\\boxed{180}$ items.", "answer": {"result": 180}}, "matches": true} +{"solution": {"solution": "If there are 20 students in total, and 8 of them are good at English only, then the number of students who are good at both math and English is 20 - 8 = 12.\nSince 5 of the students are good at math only, we need to add this to the number of students who are good at both to find the total number of students who are good at math.\nSo, the total number of students who are good at math is 5 + 12 = 17.\n#### 17\nThe answer is: 17", "answer": {"result": 17}}, "matches": false} +{"solution": {"solution": "\n\nEach group requires 2 minutes to get on stage, 6 minutes to perform, and 2 minutes to exit the stage, for a total of 2 + 6 + 2 = 10 minutes per group. \n\nVicki is allowing a 10-minute intermission, so the total time for all groups to perform and the intermission is 2 hours, or 120 minutes. \n\nIf we subtract the intermission time from the total time available, we have 120 - 10 = 110 minutes for groups to perform. \n\nTo determine how many groups can perform, we divide the total performance time by the time required for each group: 110 / 10 = 11. \n\nTherefore, Vicki can have 11 groups perform in the concert. \n\nAnswer: \\boxed{11}", "answer": {"result": 11}}, "matches": true} +{"solution": {"solution": "\n1. **Identify the interest rate**: \n The interest rate is given as \\( \\frac{3}{4} \\) of the original amount per year.\n\n2. **Calculate the annual interest**:\n - The original amount invested is \\( \\$300 \\).\n - The interest for one year is \\( \\frac{3}{4} \\times 300 \\).\n - Compute the interest:\n \\[\n \\frac{3}{4} \\times 300 = \\frac{900}{4} = 225\n \\]\n\n3. **Determine the total amount after each year**:\n - After the first year, the total amount is the original amount plus the interest:\n \\[\n 300 + 225 = 525\n \\]\n - After the second year, the total amount accumulates interest again on the new total:\n \\[\n 525 + 225 = 750\n \\]\n - After the third year, the total amount accumulates interest again on the new total:\n \\[\n 750 + 225 = 975\n \\]\n\n4. **Summarize the total amount after 3 years**:\n - The total amount after 3 years is \\( \\$975 \\).\n\n### Conclusion:\n\\[\n\\boxed{\\$975}\n\\]", "answer": {"result": 975}}, "matches": true} +{"solution": {"solution": "1. **Calculate the number of white shirts with collars**: \n The number of white shirts is 40. Half of these have collars. Therefore, the number of white shirts with collars is:\n \\[\n \\frac{40}{2} = 20\n \\]\n\n2. **Calculate the number of white shirts without collars**:\n Since half of the white shirts have collars, the other half do not:\n \\[\n 40 - 20 = 20\n \\]\n\n3. **Calculate the number of floral shirts with buttons**:\n The number of floral shirts with buttons is 20.\n\n4. **Determine the number of floral shirts without buttons**:\n The total number of floral shirts is 50. Subtracting the number of floral shirts with buttons gives the number of floral shirts without buttons:\n \\[\n 50 - 20 = 30\n \\]\n\n5. **Find the difference between the number of floral shirts without buttons and white shirts without collars**:\n The number of floral shirts without buttons is 30. The number of white shirts without collars is 20. Therefore, the difference is:\n \\[\n 30 - 20 = 10\n \\]\n\nConclusion:\nThere are 10 more floral shirts without buttons than white shirts without collars.\n\\[\n\\boxed{10}\n\\]", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "The tray holds 30 eggs, so the farmer can fill 900/30 = 30 trays with the eggs.\nIf the farmer sells each tray for $2.5, then he will earn 30 trays * $2.5 per tray = $<<30*2.5=75>>75.\nTherefore, the farmer will earn $75 if he sells all the trays.\n#### 75\nThe answer is: 75", "answer": {"result": 75}}, "matches": true} +{"solution": {"solution": "Mr. Smith sold 10 goats from Farm X, so he has 55 - 10 = 45 goats left in Farm X. \n\nHe sold twice as many goats from Farm Y, which means he sold 10 x 2 = 20 goats from Farm Y. \n\nHe started with 45 goats in Farm Y, so he has 45 - 20 = 25 goats left in Farm Y. \n\nAltogether, Mr. Smith has 45 goats in Farm X + 25 goats in Farm Y = $\\boxed{70}$ goats left in the two farms. \n\nThe answer is: 70", "answer": {"result": 70}}, "matches": true} +{"solution": {"solution": "To find out how much James pays on average for each pair of shoes, we first need to determine the total number of pairs he buys in a year. \n\n1. Calculate the total number of pairs bought in a year:\n - James buys 2 pairs of shoes each month.\n - There are 12 months in a year.\n - Therefore, he buys $2 \\times 12 = 24$ pairs of shoes a year.\n\n2. Determine the average cost per pair:\n - James spends $2640 on shoes each year.\n - He buys 24 pairs of shoes in a year.\n - The average cost per pair is calculated by dividing the total amount spent by the number of pairs bought.\n - So, the average cost per pair is $\\frac{2640}{24} = \\$110$.\n\nThus, the average amount James pays for each pair of shoes is $\\boxed{\\$110}$.", "answer": {"result": 110}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's break it down into steps:\n\n1. First, calculate the cost of 3 baskets of green food. Since each basket of green food costs $25, the total cost for 3 green baskets is calculated as follows:\n\\[3 \\times 25 = 75\\]\n\n2. Next, calculate the cost of 3 baskets of red food before the discount. Since each basket of red food costs $18, the total cost for 3 red baskets is:\n\\[3 \\times 18 = 54\\]\n\n3. Now, apply the $2 discount for each basket of red food. The total discount for 3 red baskets is:\n\\[3 \\times 2 = 6\\]\n\n4. Subtract the total discount from the cost of 3 baskets of red food to find the final cost for the red baskets:\n\\[54 - 6 = 48\\]\n\n5. Finally, add the cost of the green baskets and the discounted cost of the red baskets to find the total cost:\n\\[75 + 48 = 123\\]\n\nTherefore, the total cost for 3 baskets of green food and 3 baskets of red food, with a $2 discount per red basket, is $\\boxed{123}$.", "answer": {"result": 123}}, "matches": true} +{"solution": {"solution": "1. Calculate the total time required to clean all 90 rooms:\n - Each room takes 20 minutes to clean.\n - Total time for 90 rooms = \\(90 \\times 20\\) minutes.\n - Perform the multiplication: \\(90 \\times 20 = 1800\\) minutes.\n\n2. Convert the total time from minutes to hours:\n - There are 60 minutes in an hour.\n - Total hours needed = \\(\\frac{1800}{60}\\).\n - Perform the division: \\(\\frac{1800}{60} = 30\\) hours.\n\n3. Calculate the time required to clean half of the rooms:\n - Half of 90 rooms = \\(45\\) rooms.\n - Time for 45 rooms = \\(45 \\times 20\\) minutes.\n - Perform the multiplication: \\(45 \\times 20 = 900\\) minutes.\n\n4. Convert the time for 45 rooms from minutes to hours:\n - Total hours needed for 45 rooms = \\(\\frac{900}{60}\\).\n - Perform the division: \\(\\frac{900}{60} = 15\\) hours.\n\nConclusion:\nIt would take \\(\\boxed{15}\\) hours to clean one-half of the 90 rooms at the KozyInn Motel.", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "In the first year, they will build 12 homes.\nIn the second year, they will build 3 times the amount of homes built in the first year, so they will build 3 * 12 = 36 homes.\nIn the third year, they will count the total number of homes built so far and double that amount.\nSo, the total number of homes built in the first two years is 12 + 36 = 48 homes.\nDoubling this amount gives us 48 * 2 = 96 homes.\nTherefore, the town will have built a total of 96 homes over the next three years.\n#### 96\nThe answer is: 96", "answer": {"result": 96}}, "matches": false} +{"solution": {"solution": "\n1. **Define the variables:**\n - Let \\( x \\) be your age.\n - Your brother's age is \\( x + 3 \\) (since you are three years younger than your brother).\n - Your sister's age is \\( x - 2 \\) (since you are two years older than your sister).\n\n2. **Write an equation for the sum of all ages:**\n - The sum of your age, your brother's age, and your sister's age is given as 87:\n \\[\n x + (x + 3) + (x - 2) = 87\n \\]\n\n3. **Simplify the equation:**\n - Combine like terms:\n \\[\n x + x + 3 + x - 2 = 87\n \\]\n \\[\n 3x + 1 = 87\n \\]\n\n4. **Solve for \\( x \\):**\n - Subtract 1 from both sides:\n \\[\n 3x + 1 - 1 = 87 - 1\n \\]\n \\[\n 3x = 86\n \\]\n - Divide both sides by 3:\n \\[\n x = \\frac{86}{3}\n \\]\n\n5. **Calculate the final age:**\n - Compute the division:\n \\[\n x = 28.666\\ldots\n \\]\n - Since age is typically expressed in whole numbers, we round 28.666 to the nearest whole number, giving:\n \\[\n x = 29\n \\]\n\n### Conclusion:\n\nYour age is \\( \\boxed{29} \\).", "answer": {"result": 29}}, "matches": false} +{"solution": {"solution": "Mr. Jackson has 27 students and wants to give each student 2 glue sticks. Therefore, the total number of glue sticks needed is:\n\n\\[27 \\text{ students} \\times 2 \\text{ glue sticks per student} = 54 \\text{ glue sticks}\\]\n\nThe glue sticks are sold in packs of 8. To find out how many packs he needs to buy, we divide the total number of glue sticks needed by the number of glue sticks per pack:\n\n\\[54 \\text{ glue sticks} \\div 8 \\text{ glue sticks per pack} = 6.75 \\text{ packs}\\]\n\nSince Mr. Jackson can only buy whole packs, he will need to buy 7 packs of glue sticks to ensure he has enough for all students. This will provide:\n\n\\[7 \\text{ packs} \\times 8 \\text{ glue sticks per pack} = 56 \\text{ glue sticks}\\]\n\nThis means he will have:\n\n\\[56 \\text{ glue sticks} - 54 \\text{ glue sticks needed} = 2 \\text{ glue sticks left over}\\]\n\nTherefore, Mr. Jackson will need to buy \\(\\boxed{7}\\) packs of glue sticks.The answer is: 7", "answer": {"result": 7}}, "matches": true} +{"solution": {"solution": "\n\nOn the first day, the amount of water passing through the river is 4000 gallons. \n\nOn the second day, after heavy rain, the amount of water doubles, so the amount of water passing through the river is 4000 * 2 = 8000 gallons. \n\nOn the third day, the volume increases by 6000 gallons, so the total amount of water passing through the river is 8000 + 6000 = 14000 gallons. \n\nTherefore, the total amount of water passing through the river at that point is $\\boxed{14000}$ gallons.The answer is: 14000", "answer": {"result": 14000}}, "matches": true} +{"solution": {"solution": "1. **Define the initial condition**: We start with 10 people infected.\n2. **Determine the growth rate**: Each infected person infects 6 others per day.\n3. **Calculate the growth per day**: Each day, the number of new infections equals \\( 10 \\times 6 = 60 \\).\n4. **Calculate the number of infections over three days**:\n - **Day 1**: 10 + 60 = 70\n - **Day 2**: 70 + 60 = 130\n - **Day 3**: 130 + 60 = 190\n5. **Conclusion**: The number of people infected after three days is \\(\\boxed{190}\\).", "answer": {"result": 190}}, "matches": false} +{"solution": {"solution": "\nRafaela received a $20 tip from each of the 40 customers, so she received a total of $20 x 40 = $800 in tips.\n\nJulieta received 10% less money in tips than Rafaela, which means she received 10/100 x $800 = $80 less.\n\nTherefore, Julieta received $800 - $80 = $720 in tips.\n\nAltogether, Rafaela and Julieta received $800 + $720 = $1520 in tips.\n\n#### 1520\nThe answer is: 1520", "answer": {"result": 1520}}, "matches": true} +{"solution": {"solution": "Jennifer gave her three daughters 2 oranges each, so she gave away 3 daughters * 2 oranges/daughter = 6 oranges.\n\nShe also gave her only son 3 oranges.\n\nIn total, she gave away 6 oranges (to her daughters) + 3 oranges (to her son) = 9 oranges.\n\nJennifer initially had 12 oranges, so after giving them away, she has 12 oranges - 9 oranges = 3 oranges remaining.\n\nTherefore, Jennifer has $\\boxed{3}$ oranges left.", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "Claire earns 1 badge per month. \n\nAmber takes twice as long as Claire, so Amber earns 1/2 badge per month. \n\nWendy earns three times as many badges as Claire in the same time frame, so Wendy earns 3 badges per month. \n\nIn a year (12 months), Claire earns 12 badges. \n\nAmber, earning 1/2 badge per month, will earn 12 * (1/2) = 6 badges in a year.\n\nWendy, earning 3 badges per month, will earn 12 * 3 = 36 badges in a year.\n\nThe difference in the number of badges earned by Wendy and Amber in a year is 36 - 6 = $\\boxed{30}$ badges.", "answer": {"result": 30}}, "matches": true} +{"solution": {"solution": "Paige bakes banana bread for a duration of 6:00 PM - 1:00 PM, which is 5 hours.\n\nIn one hour, Paige can bake 2 loaves of banana bread.\n\nSo, in 5 hours, she can bake 5 hours * 2 loaves/hour = 10 loaves of banana bread.\n\nEach loaf is cut into 8 slices, so she has 10 loaves * 8 slices/loaf = 80 slices.\n\nEach slice is sold for 50 cents, so she raises 80 slices * $0.50/slice = $40 from selling all the slices.\n\nPaige raised $\\boxed{\\$40}$ for the fundraiser.", "answer": {"result": 40}}, "matches": true} +{"solution": {"solution": "If Gretchen has 70 gold coins and there are 30 more gold coins than silver coins, then she has 70 - 30 = 40 silver coins. \n\nTo find the total number of coins Gretchen has, we add the number of gold coins and silver coins together: 70 gold coins + 40 silver coins = $\\boxed{110}$ coins in total.", "answer": {"result": 110}}, "matches": true} +{"solution": {"solution": "To calculate the total number of leftover burritos from the picnic, we follow these steps:\n\n1. First, we calculate the total number of burritos given to the students. Since each student was given 10 burritos and there were 50 students, the total number of burritos given to the students is:\n\\[50 \\text{ students} \\times 10 \\text{ burritos/student} = 500 \\text{ burritos}.\\]\n\n2. Next, we account for the burritos Mr. George ate, which is given as 20 burritos.\n\n3. To find the total number of burritos consumed (by students and Mr. George), we add the burritos given to the students and the burritos Mr. George ate:\n\\[500 \\text{ burritos} + 20 \\text{ burritos} = 520 \\text{ burritos}.\\]\n\n4. Finally, to find the total number of leftover burritos, we subtract the total number of burritos consumed from the total number of burritos ordered:\n\\[600 \\text{ burritos} - 520 \\text{ burritos} = 80 \\text{ burritos}.\\]\n\nTherefore, the total number of leftover burritos from the picnic is $\\boxed{80}$.", "answer": {"result": 80}}, "matches": true} +{"solution": {"solution": "The bumper car rink has 12 red cars.\n\nThey have 2 fewer green cars than red cars, so they have 12 - 2 = 10 green cars.\n\nThey have 3 times the number of blue cars as green cars, so they have 3 * 10 = 30 blue cars.\n\nTo find the total number of red, green, and blue cars, we add them together: 12 (red) + 10 (green) + 30 (blue) = 52 cars.\n\nThe rink has 75 cars in total, so to find the number of yellow cars, we subtract the total number of red, green, and blue cars from the total number of cars: 75 (total) - 52 (red, green, blue) = 23 yellow cars. \n\nTherefore, the rink has $\\boxed{23}$ yellow cars.", "answer": {"result": 23}}, "matches": true} +{"solution": {"solution": "Let's use variables to represent the number of books each person has. Let A represent the number of books Anne has, S represent the number of books Sofie has, and F represent the number of books Fawn has.\n\nAccording to the problem, we have three equations:\n\n1. Sofie has 25 more books than Anne: S = A + 25\n2. Anne has 12 fewer books than Fawn: A = F - 12\n3. Together, they have 85 books: S + A + F = 85\n\nWe can substitute the first two equations into the third equation to solve for F.\n\nStarting with the second equation, we can express A in terms of F: A = F - 12.\n\nNow, let's substitute A in the first equation with F - 12: S = (F - 12) + 25.\nSimplifying, we get S = F + 13.\n\nNow, let's substitute both A and S in the third equation with their expressions in terms of F: (F + 13) + (F - 12) + F = 85.\n\nCombining like terms, we get 3F + 1 = 85.\n\nSubtracting 1 from both sides, we get 3F = 84.\n\nFinally, dividing both sides by 3, we find F = 28.\n\nTherefore, Fawn has $\\boxed{28}$ books.The answer is: 28", "answer": {"result": 28}}, "matches": true} +{"solution": {"solution": "First, let's find out how much the bag of sweet potatoes weighed. Since it weighed 2 times as much as the potatoes, we multiply the weight of the potatoes by 2:\n\n5 pounds (potatoes) * 2 = 10 pounds (sweet potatoes)\n\nNext, we need to find out how much the bag of carrots weighed. Since the carrots weighed 3 pounds fewer than the sweet potatoes, we subtract 3 pounds from the weight of the sweet potatoes:\n\n10 pounds (sweet potatoes) - 3 pounds = 7 pounds (carrots)\n\nSo, Daisy bought $\\boxed{7}$ pounds of carrots.", "answer": {"result": 7}}, "matches": true} +{"solution": {"solution": "A three-ounce box of jello makes 10 small jello cups. Greg wants to have enough jello cups for 30 kids, and he wants each kid to have 4 jello cups. \n\nFirst, let's calculate how many boxes of jello Greg needs. Each box makes 10 jello cups, and he needs 30 kids * 4 jello cups per kid = 120 jello cups in total. \n\nTo find out how many boxes he needs, we divide the total number of jello cups by the number of jello cups per box: 120 jello cups / 10 jello cups per box = 12 boxes.\n\nNow, let's calculate the cost. Each box of jello is on sale for $1.25, and Greg needs 12 boxes. \n\nThe total cost will be 12 boxes * $1.25 per box = $15.\n\nGreg will spend $\\boxed{\\$15}$ on jello.", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "The total cost of the 5 phones is $700 x 5 = $3500. \n\nThe seller gives the seller $4000, so the change will be $4000 - $3500 = $500. \n\n#### 500\nThe answer is: 500", "answer": {"result": 500}}, "matches": true} +{"solution": {"solution": "1. **Calculate Madeline's share**: Madeline pays 60% of the total grocery bill. Therefore, her contribution is:\n \\[\n 0.60 \\times 400 = 240 \\text{ dollars}\n \\]\n\n2. **Determine Keenan's share**: Since the total grocery bill is $400, and Madeline pays $240, Keenan's share is:\n \\[\n 400 - 240 = 160 \\text{ dollars}\n \\]\n\n3. **Calculate weekly expenditure for Keenan**: There are four weeks in this month, so Keenan's weekly grocery expenditure is:\n \\[\n \\frac{160}{4} = 40 \\text{ dollars}\n \\]\n\nConclusion:\n\\[\n\\boxed{40}\n\\]\n\nAnswer: Keenan spends $40 per week on groceries.", "answer": {"result": 40}}, "matches": true} +{"solution": {"solution": "To find out how many pizza pieces Tobias has eaten so far, we need to calculate the pieces he ate on each day and then sum them up.\n\nOn the first day, he ate 2/5 of the pieces:\n\\( \\frac{2}{5} \\times 60 = 24 \\) pieces\n\nAfter the first day, there are \\( 60 - 24 = 36 \\) pieces left.\n\nOn the second day, he ate 10 pieces:\n\\( 36 - 10 = 26 \\) pieces remaining.\n\nOn the third day, he ate 7/13 of the remaining pieces:\n\\( \\frac{7}{13} \\times 26 = 14 \\) pieces\n\nSo, Tobias has eaten a total of:\n\\( 24 + 10 + 14 = 48 \\) pieces.\n\nTherefore, Tobias has eaten 48 pizza pieces so far.\n\nFinal answer: Tobias has eaten 48 pizza pieces so far.\n\nAnswer: \\boxed{48}", "answer": {"result": 48}}, "matches": true} +{"solution": {"solution": "To solve the problem, let's break down the costs for each item and then calculate the total cost for David's desired purchase.\n\n1. **Cost of Soda**:\n - We know that 7 bottles of soda cost $21.00.\n - To find the cost of 1 bottle of soda, we divide the total cost by the number of bottles:\n \\[\n \\frac{21.00}{7} = 3.00\n \\]\n - Therefore, the cost of 1 bottle of soda is $3.00.\n\n2. **Cost of Water**:\n - We know that 4 bottles of water cost $8.00.\n - To find the cost of 1 bottle of water, we divide the total cost by the number of bottles:\n \\[\n \\frac{8.00}{4} = 2.00\n \\]\n - Therefore, the cost of 1 bottle of water is $2.00.\n\n3. **Total Cost for David's Purchase**:\n - David wants to buy 3 bottles of soda and 2 bottles of water.\n - We add the cost of the soda and water for his purchase:\n \\[\n (3 \\times 3.00) + (2 \\times 2.00) = 9.00 + 4.00 = 13.00\n \\]\n - Therefore, the total cost for David's purchase is $\\boxed{13.00}$.", "answer": {"result": 13.0}}, "matches": true} +{"solution": {"solution": "\nFirst, let's calculate the total cost of the bolts David wants to buy. Each bolt costs $0.03, and he wants to buy 16 bolts. \n\nTotal cost = Number of bolts * Cost per bolt\nTotal cost = 16 * $0.03\nTotal cost = $0.48\n\nNow, let's subtract the total cost of the bolts from the amount of money David has. \n\nMoney left = Money David has - Total cost of bolts\nMoney left = $12.48 - $0.48\nMoney left = $12.00\n\nDavid has $\\$12.00$ left after paying for the bolts. \n$12.00", "answer": {"result": 12.0}}, "matches": true} +{"solution": {"solution": "To find out how much Ella earns per hour for dog walking, we divide the total amount she earned by the number of hours she worked. \n\nElla earned $33 for 3 hours of dog walking. So, her hourly rate is calculated as follows:\n\n\\[ \\text{Hourly Rate} = \\frac{\\text{Total Earnings}}{\\text{Total Hours}} = \\frac{33}{3} = 11 \\]\n\nTherefore, Ella earns $11 per hour for dog walking. To find out how much she would earn after 12 hours, we multiply her hourly rate by the number of hours:\n\n\\[ \\text{Earnings After 12 Hours} = \\text{Hourly Rate} \\times \\text{Total Hours} = 11 \\times 12 = 132 \\]\n\nThus, Ella would earn $\\$132$ after walking dogs for 12 hours.\n\n\\[\n\\boxed{132}\n\\]", "answer": {"result": 132}}, "matches": true} +{"solution": {"solution": "Paul starts with 52 marbles. \nHis friend gives him 28 marbles, so he now has 52 + 28 = 80 marbles. \nThen, he loses 1/4 of his marbles, which is 1/4 * 80 = 20 marbles. \nTherefore, Paul has 80 - 20 = 60 marbles left. \n#### 60\nThe answer is: 60", "answer": {"result": 60}}, "matches": true} +{"solution": {"solution": "\n\nFirst, let's calculate the number of questions Amy answers correctly in each category:\n\n1. Multiple-choice questions:\nAmy correctly answers 80% of the 10 multiple-choice questions.\n\\[ 10 \\times 0.80 = 8 \\]\n\n2. True/false questions:\nAmy correctly answers 90% of the 20 true/false questions.\n\\[ 20 \\times 0.90 = 18 \\]\n\n3. Long-answer questions:\nAmy correctly answers 60% of the 5 long-answer questions.\n\\[ 5 \\times 0.60 = 3 \\]\n\nNow, let's calculate the total points Amy earns:\n\n1. Multiple-choice questions:\nEach multiple-choice question is worth 1 point, and Amy correctly answers 8 out of 10.\n\\[ 8 \\times 1 = 8 \\]\n\n2. True/false questions:\nEach true/false question is worth 1 point, and Amy correctly answers 18 out of 20.\n\\[ 18 \\times 1 = 18 \\]\n\n3. Long-answer questions:\nEach long-answer question is worth 5 points, and Amy correctly answers 3 out of 5.\n\\[ 3 \\times 5 = 15 \\]\n\nFinally, let's add up the points from each category to find Amy's total score:\n\\[ 8 + 18 + 15 = 41 \\]\n\nAmy's total score is $\\boxed{41}$ points.The answer is: 41", "answer": {"result": 41}}, "matches": true} +{"solution": {"solution": "Isaias plans to sell 3/5 of his 300 chickens, which is (3/5) * 300 = 180 chickens.\n\nTo make a profit of $2000 from selling 180 chickens at $50 each, the total revenue must be the cost price plus the profit.\n\nThe total revenue from selling 180 chickens at $50 each is 180 * $50 = $9000.\n\nLet's denote the cost price of the 180 chickens that Isaias bought as C.\n\nThe equation to find the cost price C is:\n\nC + $2000 = $9000\n\nSubtracting $2000 from both sides of the equation gives:\n\nC = $9000 - $2000\nC = $7000\n\nTherefore, Isaias bought the 180 chickens he took to the market for $\\boxed{\\$7000}$ .", "answer": {"result": 7000}}, "matches": true} +{"solution": {"solution": "If Julie sold 14 glasses and the boys sold an equal number of glasses, then Micah and Mitchell sold a total of 32 - 14 = 18 glasses.\nSince they sold an equal number of glasses, Micah sold 18 / 2 = 9 glasses.\nJulie sold 14 glasses, so she sold 14 - 9 = 5 more glasses than Micah.\n#### 5\nThe answer is: 5", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "Iris spent 1/4 * $400 = $100 on a manicure. \n\nShe spent 3/4 * $100 = $75 on a pedicure. \n\nIn total, Iris spent $400 + $100 + $75 = $575 at the spa. \n\n#### 575\nThe answer is: 575", "answer": {"result": 575}}, "matches": true} +{"solution": {"solution": "\nTo determine how much money Sarah will have left over after buying a new rope, we follow these steps:\n\n1. **Calculate the total cost of the original rope:**\n Sarah's rope is 20 meters long, and she plans to sell it for $2 per meter. Therefore, the total cost of the original rope is calculated as:\n \\[\n 20 \\, \\text{meters} \\times \\$2/\\text{meter} = \\$40.\n \\]\n\n2. **Determine the profit from selling the original rope:**\n Sarah's friend wants to buy the rope for $2 per meter, while Sarah bought it for $1.5 per meter. The profit per meter is:\n \\[\n \\$2 - \\$1.5 = \\$0.5 \\, \\text{per meter}.\n \\]\n Since the rope is 20 meters long, the total profit is:\n \\[\n 20 \\, \\text{meters} \\times \\$0.5/\\text{meter} = \\$10.\n \\]\n\n3. **Calculate the total cost of the new rope:**\n The new rope costs $1.5 per meter, and it is also 20 meters long. Thus, the total cost is:\n \\[\n 20 \\, \\text{meters} \\times \\$1.5/\\text{meter} = \\$30.\n \\]\n\n4. **Determine how much money Sarah will have left over:**\n Sarah initially made a profit of $10 from selling the original rope. After buying a new rope for $30, the remaining money is:\n \\[\n \\$10 - \\$30 = -\\$20.\n \\]\n However, this calculation reveals an error in the assumption that Sarah can spend more than she earned. The correct interpretation is that she spends all her profit and has no money left over. Therefore, the correct calculation should consider the profit as reducing the cost of the new rope, not as a separate amount.\n\n5. **Correct calculation for remaining money:**\n Since the profit of $10 is used to buy the new rope, the remaining money is actually the profit itself, as it is not spent on anything else:\n \\[\n \\$10.\n \\]\n\n6. **Conclusion:**\n After buying the new rope, Sarah will have $\\boxed{\\$10}$ left over.\n\nAnswer: $10", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "Let's denote Melanie's present age as \\( M \\).\n\nAccording to the first statement, in 10 years, Melanie will be 18 years old. Therefore, we can write the equation:\n\n\\[ M + 10 = 18 \\]\n\nTo find Melanie's present age, we solve for \\( M \\):\n\n\\[ M = 18 - 10 \\]\n\\[ M = 8 \\]\n\nNow, we need to find out how many years it will take for Melanie's age to be thrice her present age. Let's denote this number of years as \\( Y \\).\n\nIn \\( Y \\) years, Melanie's age will be \\( M + Y \\). We want this age to be three times her present age, so we set up the equation:\n\n\\[ M + Y = 3M \\]\n\nSubstitute Melanie's present age \\( M = 8 \\) into the equation:\n\n\\[ 8 + Y = 3 \\times 8 \\]\n\\[ 8 + Y = 24 \\]\n\nNow, solve for \\( Y \\):\n\n\\[ Y = 24 - 8 \\]\n\\[ Y = 16 \\]\n\nSo, it will take $\\boxed{16}$ years for Melanie's age to be thrice her present age.", "answer": {"result": 16}}, "matches": true} +{"solution": {"solution": "Kelly's 5 packs of bacon cost $10 in total, so each pack of bacon costs $10/5 = $2.\n\nEach packet of chicken costs twice as much as a pack of bacon, so each packet of chicken costs $2 * 2 = $4.\n\nKelly has 6 packets of chicken, so the total cost for the chicken is 6 * $4 = $24.\n\nKelly has 3 packs of strawberries, priced at $4 each, so the total cost for the strawberries is 3 * $4 = $12.\n\nEach pack of apples is priced at half the price of a pack of strawberries, so each pack of apples costs $4/2 = $2.\n\nKelly has 7 packs of apples, so the total cost for the apples is 7 * $2 = $14.\n\nThe total cost of all the items in Kelly's cart is $10 (bacon) + $24 (chicken) + $12 (strawberries) + $14 (apples) = $60.\n\nKelly's budget is $65, so she has $65 - $60 = $5 left in her budget.\n\n#### 5\nThe answer is: 5", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "Let's denote the length of Elaina's usual concert as x minutes.\n\nAccording to the information given, the final concert is twice as long as her usual concerts, so it's 2x minutes.\n\nThe final concert includes a 15-minute encore, so the total length of the final concert is 2x + 15 minutes.\n\nWe are told that the total length of the final concert is 65 minutes. Therefore, we can set up the following equation:\n\n2x + 15 = 65\n\nNow, we solve for x:\n\n2x = 65 - 15\n2x = 50\nx = 50 / 2\nx = 25\n\nSo, Elaina's usual concerts run for $\\boxed{25}$ minutes.", "answer": {"result": 25}}, "matches": true} +{"solution": {"solution": "Argo starts with 200 toys. \n\nHe gives 40 toys to Alyssa, so he has 200 - 40 = 160 toys left.\n\nThen he gives 80 toys to Bonnie, leaving him with 160 - 80 = 80 toys.\n\nFinally, he gives 30 toys to Nicky, so he has 80 - 30 = 50 toys remaining.\n\nArgo now has $\\boxed{50}$ toys.The answer is: 50", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "On Tuesday, they make 125 chimichangas.\nOn Wednesday, they make 125 chimichangas.\nOn Friday, they make twice as many as on Tuesday, so they make 2 * 125 = 250 chimichangas.\nTherefore, they make a total of 125 + 125 + 250 = 500 chimichangas on those three days.\n#### 500\nThe answer is: 500", "answer": {"result": 500}}, "matches": true} +{"solution": {"solution": "\n\n1. **Determine the number of microphones that can be paired:**\n - The singer has 50 microphones in total.\n - He can pair up 25 microphones (since 2 microphones make a pair, \\(25 \\times 2 = 50\\)).\n\n2. **Calculate the number of microphones that cannot be paired:**\n - According to the problem, 20% of the microphones can't be paired.\n - Calculate 20% of 50: \n \\[\n 0.20 \\times 50 = 10 \\text{ microphones}\n \\]\n\n3. **Determine the number of microphones that can be paired:**\n - Subtract the microphones that can't be paired from the total number of microphones:\n \\[\n 50 - 10 = 40 \\text{ microphones}\n \\]\n\n4. **Form pairs from the microphones that can be paired:**\n - With 40 microphones, the number of pairs is:\n \\[\n \\frac{40}{2} = 20 \\text{ pairs}\n \\]\n\n### Conclusion:\nThe number of pairs of microphones that the singer was able to arrange on the stage is:\n\\[\n\\boxed{20}\n\\]\n\n---\n\n\n1. **Determine the number of cans that can be arranged in groups of 3:**\n - The singer has 27 cans.\n\n2. **Calculate the number of groups of 3 cans that can be formed:**\n - Divide the total number of cans by 3:\n \\[\n \\frac{27}{3} = 9 \\text{ groups}\n \\]\n\n3. **Identify the remaining cans:**\n - Subtract the number of groups of 3 cans from the total number of cans to find the remaining cans:\n \\[\n 27 - 9 \\times 3 = 27 - 27 = 0\n \\]\n\n4. **Conclusion:**\n - There are no remaining cans, so all cans can be arranged in groups of 3.\n\n### Conclusion:\nThe singer can arrange all 27 cans in groups of 3, with no remaining cans:\n\\[\n\\boxed{27}\n\\]\n\n---\n\n\n1. **Determine the number of pairs that can be formed with 15 people:**\n - Each pair requires 2 people, so to form pairs, the number of people must be even.\n\n2. **Calculate the number of possible pairs from 15 people:**\n - The number of unique pairs from 15 people is calculated using the combination formula:\n \\[\n \\frac{15!}{2!(15-2)!} = \\frac{15 \\times 14}{2 \\times 1} = 105\n \\]\n\n3. **Consider the problem constraint:**\n - The problem states that the singer cannot form any pairs with these 15 people. This suggests an additional constraint or misinterpretation of the problem. Given the provided context, the solution must interpret that no pairs can be formed directly.\n\n4. **Interpret the solution based on the constraints:**\n - It is implied that the solution considers the impossibility of forming pairs, leading to the number of possible pairs being zero.\n\n### Conclusion:\nThe number of pairs of people that the singer cannot form given the constraints is:\n\\[\n\\boxed{0}\n\\]\n\n---\n\n\n1. **Calculate the number of books that can be paired:**\n - There are 35 books, and pairs require 2 books each.\n - Determine the number of pairs:\n \\[\n \\frac{35}{2} = 17.5\n \\]\n\n2. **Identify the remaining books:**\n - Since we can't have half a pair, there is 1 remaining book:\n \\[\n 35 - 17 \\times 2 = 1\n \\]\n\n3. **Conclusion:**\n - The singer can pair 17 books, leaving 1 book unpaired.\n\n### Conclusion:\nThe singer was able to pair:\n\\[\n\\boxed{17}\n\\]\n\n---\n\n\n1. **Calculate the number of groups of 4 that can be formed from 20 people:**\n - Divide the total number of people by 4:\n \\[\n \\frac{20}{4} = 5 \\text{ groups}\n \\]\n\n2. **Identify the remaining people:**\n - Subtract the number of groups of 4 from the total number of people:\n \\[\n 20 - 5 \\times 4 = 20 - 20 = 0\n \\]\n\n3. **Conclusion:**\n - There are no remaining people, meaning all 20 people can be arranged in groups of 4 without any leftovers.\n\n### Conclusion:\nThe singer was able to arrange all 20 people in groups of 4, with no remaining people:\n\\[\n\\boxed{20}\n\\]\n\n---\n\n\n1. **Determine the number of pairs that can be formed from 21 people:**\n - Each pair requires 2 people, so the number of people must be even to form pairs.\n\n2. **Calculate the number of possible pairs from 21 people:**\n - Since 21 is odd, it's impossible to form complete pairs without some people remaining unpaired.\n - The maximum number of pairs is calculated as follows:\n \\[\n \\frac{21 - 1}{2} = 10 \\text{ pairs}\n \\]\n - This implies that 2 people will remain unpaired.\n\n3. **Conclusion:**\n - The singer can form 10 pairs, leaving 2 people unpaired.\n\n### Conclusion:\nThe singer was able to form:\n\\[\n\\boxed{10}\n\\]", "answer": {"result": -170}}, "matches": false} +{"solution": {"solution": "Jerry counts 6 birds nesting in the bushes. \n\nHe also counts 2/3 of that number of birds flying overhead, which is (2/3) * 6 = 4 birds. \n\nHe sees 3 groups of eight birds each feeding, so that's 3 * 8 = 24 birds. \n\nIn total, Jerry counts 6 + 4 + 24 = $\\boxed{34}$ birds. The answer is 34", "answer": {"result": 34}}, "matches": true} +{"solution": {"solution": "Lani baked 55 cookies.\nShe ate 5 of them, so she had 55 - 5 = 50 cookies left.\nShe placed the remaining cookies equally into 5 jars, so each jar had 50 / 5 = 10 cookies.\nTherefore, there were 10 cookies in each jar.\n#### 10\nThe answer is: 10", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "Each orchid has 5 petals, so 5 orchids have 5 x 5 = 25 petals in total.\nEach African daisy has 10 petals, so 4 daisies have 4 x 10 = 40 petals in total.\nThe daisies have 40 - 25 = 15 more petals than the orchids.\n#### 15\nThe answer is: 15", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "One-fourth of the plants are indoor plants, so there are 100/4 = 25 indoor plants.\nThe remaining plants are 100 - 25 = 75 plants.\nTwo-thirds of the remaining plants are outdoor plants, so there are 75 * (2/3) = 50 outdoor plants.\nThe rest of the plants are flowering plants, so there are 75 - 50 = 25 flowering plants.\nTo find the percentage of flowering plants, we divide the number of flowering plants by the total number of plants and multiply by 100.\nSo, the percentage of flowering plants is (25/100) * 100 = 25%\n#### 25\nThe answer is: 25", "answer": {"result": 25}}, "matches": true} +{"solution": {"solution": "1. Identify the speeds given:\n - A whatchamacallit spins at 121 meters per second.\n - A whatchamacallit spins 11 times faster than a thingamabob.\n\n2. Calculate the speed of the thingamabob:\n \\[\n \\text{Speed of thingamabob} = \\frac{121}{11} = 11 \\text{ meters per second}\n \\]\n\n3. A whirligig spins at five times the speed of a thingamabob:\n \\[\n \\text{Speed of whirligig} = 5 \\times \\text{Speed of thingamabob} = 5 \\times 11 = 55 \\text{ meters per second}\n \\]\n\n4. Conclusion:\n \\[\n \\boxed{55 \\text{ meters per second}}\n \\]\n\n5. Verify the solution:\n Substitute the calculated speeds back into the problem to ensure consistency:\n - A whatchamacallit spins at 121 meters per second, which is 11 times the speed of a thingamabob (11 meters per second).\n - A whirligig spins at 55 meters per second, which is five times the speed of a thingamabob (11 meters per second).\n\nThis confirms the solution is correct.", "answer": {"result": 55}}, "matches": true} +{"solution": {"solution": "Ellen's total daily expenses for the salad and yogurt are $11. The salad costs $6 and the yogurt is half the price of the salad, so the yogurt costs $6 / 2 = $3. \n\nThe total cost for the salad and yogurt is $6 (salad) + $3 (yogurt) = $9. \n\nSince Ellen's total expenses are $11, the cost for the two carrots is $11 - $9 = $2. \n\nTherefore, Ellen pays $2 / 2 = $1 for one carrot every day. \n\nThe answer is: 1", "answer": {"result": 1}}, "matches": true} +{"solution": {"solution": "Mark works 8 hours a day for 5 days a week, so he works a total of 8 * 5 = 40 hours in a week. \n\nHis pay used to be $10 per hour, but they raised it by $2 per hour. So his new pay rate is $10 + $2 = $12 per hour. \n\nTo calculate his weekly earnings, we multiply his hourly rate by the number of hours he works in a week: $12 * 40 = $480. \n\nTherefore, Mark now makes $\\boxed{\\$480}$ a week.", "answer": {"result": 480}}, "matches": true} +{"solution": {"solution": "Let's denote the number of times Tasha mowed Joe's lawn as J. \n\nAccording to the information given, Tasha mowed Kamala's lawn thrice as many times as she did Joe's, so she mowed Kamala's lawn 3J times. \n\nSimilarly, she mowed Alba's lawn five times as many times as she did Joe's, so she mowed Alba's lawn 5J times.\n\nFrom mowing Joe's lawn, Tasha earned $6. \n\nFrom mowing Kamala's lawn, she earned 3J * $6 = 18J dollars.\n\nFrom mowing Alba's lawn, she earned 5J * $6 = 30J dollars.\n\nThe total amount Tasha made from lawn mowing is the sum of the amounts she earned from each lawn:\n$6 (Joe's lawn) + 18J (Kamala's lawn) + 30J (Alba's lawn) = $6 + 18J + 30J = $6 + 48J dollars.\n\nWe know that Tasha made a total of $80 from selling lemonade and mowing lawns last month. So, we can set up the equation:\n$6 + 48J = $80.\n\nTo find out how much she made from lemonade sales, we subtract the amount she made from lawn mowing from the total amount:\n$80 - ($6 + 48J) = $80 - $6 - 48J = $74 - 48J.\n\nSince the number of times Tasha mowed Joe's lawn (J) is not given, we cannot determine the exact amount she made from lemonade sales. However, we can say that the amount she made from lemonade sales is $\\boxed{\\$74}$ minus 48 times the number of times she mowed Joe's lawn (J).", "answer": {"result": 74}}, "matches": false} +{"solution": {"solution": "Martin's weight is 55 kg. \nCarl's weight is 16 kg more than Martin's weight, so Carl's weight is 55 + 16 = 71 kg. \nChristian's weight is 8 kg more than Carl's weight, so Christian's weight is 71 + 8 = 79 kg. \nHarry is 5 kg less than Christian's weight, so Harry's weight is 79 - 5 = 74 kg. \n\nTherefore, Harry's weight is 74 kg. \n#### 74\nThe answer is: 74", "answer": {"result": 74}}, "matches": true} +{"solution": {"solution": "John rents his car out 10 times a month, so he earns 10 * $25 = $250 per month.\n\nHis car payment is $500 per month.\n\nTo find his profit, we subtract the car payment from his earnings:\n\nProfit = Earnings - Car Payment\nProfit = $250 - $500\nProfit = -$250\n\nJohn actually incurs a loss of $\\$250$ per month on his car. He does not make a profit.", "answer": {"result": -250}}, "matches": false} +{"solution": {"solution": "\nIf Martha bought 5 more notebooks, she now has a total of 7 notebooks. \nBefore she bought more, she had 7 - 5 = 2 notebooks. \nJoseph had 3 times as many notebooks as Martha, so he had 3 * 2 = 6 notebooks. \nNow, Martha has 7 - 6 = 1 more notebook than Joseph. \n#### 1\nThe answer is: 1", "answer": {"result": 1}}, "matches": true} +{"solution": {"solution": "Dijana rowed for 50 miles.\n\nAnis rowed 1/5 times more miles than Dijana, so Anis rowed:\n\\[ 50 \\times (1 + \\frac{1}{5}) = 50 \\times \\frac{6}{5} = 60 \\text{ miles} \\]\n\nTo find the total distance rowed by both, we add their individual distances:\n\\[ 50 + 60 = 110 \\text{ miles} \\]\n\nConclusion with boxed answer:\n\\[ \\boxed{110 \\text{ miles}} \\]", "answer": {"result": 110}}, "matches": true} +{"solution": {"solution": "Susan made 100 cookies and her husband took 4, so she has 100 - 4 = 96 cookies left for her nephews.\nSusan has 6 nephews, so she will divide the 96 cookies equally among them.\nTo find out how many cookies each nephew will get, we divide 96 by 6.\n96 \u00f7 6 = 16\nEach of Susan's nephews will get 16 cookies.\n#### 16\nThe answer is: 16", "answer": {"result": 16}}, "matches": true} +{"solution": {"solution": "Yesterday, Denise read 10 pages and Daniel read 13 pages. Today, Denise read 5 more than as many pages as Daniel read yesterday, so she read 13 + 5 = 18 pages today. \n\nIn total, Denise read 10 + 18 = 28 pages.\n\nDaniel read 13 pages yesterday and 0 pages today. In total, Daniel read 13 pages.\n\nTo find out how many more pages Denise read than Daniel, we subtract Daniel's total pages from Denise's total pages: 28 - 13 = 15.\n\nDenise read $\\boxed{15}$ more pages than Daniel.The answer is: 15", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "\nTo solve this problem, we start by determining the total number of bowls that Calvin's soup can fill. We know that the pot can fill either four adult bowls or eight child bowls. \n\n1. Calculate the total number of bowls the soup can fill: \n - The pot can fill 4 adult bowls or 8 child bowls. \n - Therefore, the total capacity of the soup in terms of bowls is $4 + 8 = 12$ bowls.\n\n2. Determine how many bowls will be eaten for dinner:\n - There are 2 adults eating (Calvin and his wife) and 2 children, making a total of 4 people.\n - Each person eats one bowl, so for dinner, 4 bowls will be eaten.\n\n3. Calculate the leftover bowls:\n - The soup can fill 12 bowls, and 4 bowls are eaten for dinner.\n - The remaining bowls for lunch are $12 - 4 = 8$ bowls.\n\n4. Calculate how many times each child can have a bowl of soup for lunch:\n - There are 2 children, and there are 8 leftover bowls.\n - Each child can have a bowl of soup for lunch $\\frac{8}{2} = 4$ times.\n\nTherefore, the number of times each child can have a bowl of soup for lunch from the leftover soup is $\\boxed{4}$.\n\nAnswer: 4", "answer": {"result": 4}}, "matches": false} +{"solution": {"solution": "William bought five notebooks, so he spent 5 x $1.50 = $7.50 on notebooks.\nHe also bought a ballpen for $0.50.\nTherefore, William spent $7.50 + $0.50 = $8 in total.\n#### 8\nThe answer is: 8", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "To make 20 small masks, Jo would need 20/4 = 5 yards of material.\nTo make 8 large masks, Jo would need 8/3 = 2.67 yards of material.\nTherefore, Jo would need a total of 5 + 2.67 = 7.67 yards of material to make 20 small and 8 large masks.\n#### 7.67\nThe answer is: 7.67", "answer": {"result": 7.67}}, "matches": false} +{"solution": {"solution": "To find the average price Deepa paid per ticket, we first need to determine the total number of tickets she bought. Since she watched each of the 9 Fast and the Furious movies three times in the theater, the total number of tickets is:\n\n\\[9 \\text{ movies} \\times 3 \\text{ viewings per movie} = 27 \\text{ tickets}\\]\n\nNext, we know that Deepa spent a total of $216 on these tickets. To find the average price per ticket, we divide the total amount spent by the total number of tickets:\n\n\\[\\frac{\\$216}{27 \\text{ tickets}} = \\$8 \\text{ per ticket}\\]\n\nTherefore, the average price Deepa paid per ticket is $\\boxed{\\$8}$.", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "Harold sleeps for 10 hours a night. \n\nHe works 2 hours less than he sleeps, so he works 10 - 2 = 8 hours a day.\n\nHe walks his dog for 1 hour each day.\n\nSo in total, Harold's activities for the day are:\nSleeping: 10 hours\nWorking: 8 hours\nWalking the dog: 1 hour\n\nTotal time accounted for: 10 + 8 + 1 = 19 hours\n\nThere are 24 hours in a day, so Harold's free time is:\n24 - 19 = 5 hours\n\nHarold has $\\boxed{5}$ hours of free time left in his day.", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "Tim uses 3 blue shoeboxes, so he has 7 - 3 = 4 blue shoeboxes left.\n\nFor the red shoeboxes, he uses 1/3 of his total red shoeboxes. He has 9 red shoeboxes, so 1/3 of 9 is 9 / 3 = 3 red shoeboxes.\n\nTherefore, Tim has 9 - 3 = $\\boxed{6}$ red shoeboxes left in his box. He also has 4 blue shoeboxes left. In total, Tim has 4 blue shoeboxes + 6 red shoeboxes = 10 shoeboxes left in his box.", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "Sarah has 9 books. \nJoseph initially had twice the number of Sarah's books, so he had 9 x 2 = 18 books. \nBut Joseph lost 2 of his books, so he currently has 18 - 2 = 16 books. \n#### 16\nThe answer is: 16", "answer": {"result": 16}}, "matches": true} +{"solution": {"solution": "Dean gives away 1/5 of his marbles, which is 1/5 * 30 = 6 marbles. \n\nAfter giving 6 marbles to Jamie, Dean has 30 - 6 = 24 marbles left. \n\nThen, Dean gives 10 marbles to Donald. \n\nSo, Dean has 24 - 10 = $\\boxed{14}$ marbles left.", "answer": {"result": 14}}, "matches": true} +{"solution": {"solution": "1. **Determine Duncan's age eight years ago:**\n\n Given, Duncan's current age is 60 years. Therefore, eight years ago, Duncan's age was:\n \\[\n 60 - 8 = 52\n \\]\n\n2. **Relate Duncan's age eight years ago to Adam's age four years ago:**\n According to the problem, Duncan's age eight years ago was two times Adam's age four years ago. Let Adam's age four years ago be \\( x \\). Then:\n \\[\n 52 = 2x\n \\]\n Solving for \\( x \\):\n \\[\n x = \\frac{52}{2} = 26\n \\]\n\n Hence, Adam was 26 years old four years ago.\n\n3. **Determine Adam's current age:**\n Since Adam was 26 years old four years ago, his current age is:\n \\[\n 26 + 4 = 30\n \\]\n\n4. **Calculate Adam's age in 8 years:**\n In 8 years, Adam will be:\n \\[\n 30 + 8 = 38\n \\]\n\n### Conclusion:\n\\[\n\\boxed{38}\n\\]", "answer": {"result": 38}}, "matches": true} +{"solution": {"solution": "First, we need to find the size of Farmer Smith's farm. \n\nTwice the size of Farmer Brown's farm is:\n\\[2 \\times 200 = 400 \\text{ acres}\\]\n\nSince Farmer Smith's farm is 100 acres more than twice the size of Farmer Brown's farm, we add 100 acres:\n\\[400 + 100 = 500 \\text{ acres}\\]\n\nNow, to find the total acres of both farms combined, we add the acres of both farms:\n\\[200 + 500 = 700 \\text{ acres}\\]\n\nThus, the two farms together have $\\boxed{700}$ acres.", "answer": {"result": 700}}, "matches": true} +{"solution": {"solution": "50-10 = 40 packages\nColby completes 40 packages in 1 hour\nIn an 8-hour workday, he completes 40*8 = 320 packages\nHe gets paid $0.20 per package\nTherefore he earns 320 * $0.20 = $64 per day\nThe answer is 64", "answer": {"result": 64}}, "matches": true} +{"solution": {"solution": "\n\nAn extreme sudoku takes 45 minutes x 4 = 180 minutes.\n\nJohn drinks a bottle of water every half hour, so in 180 minutes, he drinks 180/30 = 6 bottles of water.\n\n#### 6\nThe answer is: 6", "answer": {"result": 6}}, "matches": true} +{"solution": {"solution": "Let's denote the number of yellow balloons as Y.\n\nFrom the information given, we know that Benny threw two pieces of bologna at each red balloon and three pieces of bologna at each yellow balloon. We also know that there were 20 red balloons.\n\nThe total number of pieces of bologna thrown at the red balloons is 2 pieces/red balloon * 20 red balloons = 40 pieces.\n\nSince Benny threw a total of 58 pieces of bologna at the bundle of red and yellow balloons, the number of pieces thrown at the yellow balloons is 58 pieces (total) - 40 pieces (red) = 18 pieces.\n\nEach yellow balloon received 3 pieces of bologna, so the number of yellow balloons is 18 pieces (yellow) / 3 pieces/yellow balloon = 6 yellow balloons.\n\nTherefore, there were $\\boxed{6}$ yellow balloons in the bundle.", "answer": {"result": 6}}, "matches": true} +{"solution": {"solution": "Jon drives 100 miles a day for 30 days, so he drives a total of 100 * 30 = 3000 miles in a month.\n\nSince his car needs a tune-up every 1000 miles, we divide the total miles driven by the number of miles needed for a tune-up to find out how many tune-ups he needs:\n\n3000 miles / 1000 miles per tune-up = 3 tune-ups\n\nJon needs $\\boxed{3}$ tune-ups in that time.The answer is: 3", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "Bruce works for 5 hours on Tuesday. \n\nOn Wednesday, he works twice the time he works on Tuesday, so he works 5 * 2 = 10 hours.\n\nOn Thursday, he works 2 hours less than the time he works on Wednesday, so he works 10 - 2 = 8 hours.\n\nIn total, Bruce works 5 hours on Tuesday + 10 hours on Wednesday + 8 hours on Thursday = 23 hours. \n\n#### 23\nThe answer is: 23", "answer": {"result": 23}}, "matches": true} +{"solution": {"solution": "\n\nLet $x$ be the amount of allowance given to each of the girls by their mother.\n\nThe total cost of the cake is $11.\n\nThe cost of 1 dozen balloons is $0.5 \\times 6 = 3$.\n\nThe cost of 2 tubs of ice cream is $7 \\times 2 = 14$.\n\nThe total cost of all the items is $11 + 3 + 14 = 28$.\n\nSince the two girls combined their allowance to buy these items, the sum of their allowances is also $28.\n\nTherefore, $x + x = 28$.\n\nSolving for $x$, we have $2x = 28$, so $x = 14$.\n\nTherefore, Julia and Nadine's mother gave each of them $14.\n\nThe answer is: 14", "answer": {"result": 14}}, "matches": true} +{"solution": {"solution": "Kira bought a total of 3 apples + 5 bananas + 6 oranges = 14 pieces of fruit. \n\nAfter Lola ate 2 pieces, there are 14 - 2 = 12 pieces of fruit left. \n\nSo, there are $\\boxed{12}$ pieces of fruit left.", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "\n\nFirst, let's find out the number of students playing volleyball. Since there are 6 students playing tennis and twice that number playing volleyball, there are 6 * 2 = 12 students playing volleyball.\n\nNext, let's find out the total number of students playing soccer. There are 16 boys and 22 girls playing soccer, so there are 16 + 22 = 38 students playing soccer.\n\nTo find the total number of students, we add the number of students playing tennis, the number of students playing volleyball, and the number of students playing soccer:\n\n6 (tennis) + 12 (volleyball) + 38 (soccer) = 56 students in total.\n\nAnswer: \\boxed{56}", "answer": {"result": 56}}, "matches": true} +{"solution": {"solution": "\nIf each student sold 10 lollipops at $0.8 per lollipop, then each student made 10 * $0.8 = $8 from selling lollipops.\n\nSince there are 30 students, the total amount made from selling lollipops is 30 * $8 = $240.\n\nThe cost of buying each lollipop was $0.5, so the total cost of buying lollipops for the class is 30 * 10 * $0.5 = $150.\n\nThe profit from selling lollipops is the total amount made minus the total cost, which is $240 - $150 = $90.\n\nThe class was able to raise $90 from the profit of selling lollipops. \n\nAnswer: $90", "answer": {"result": 90}}, "matches": true} +{"solution": {"solution": "\n\nLarry has 3 cats. \n\nHe has 3 times as many dogs as cats, so he has 3 x 3 = 9 dogs. \n\nHe has 2 fewer rabbits than dogs, so he has 9 - 2 = 7 rabbits. \n\nHe has a fish tank with three times the number of fish as rabbits, so he has 7 x 3 = 21 fish. \n\nHe also has a collection of gerbils that's 1/3 the number of fish he has, so he has 21 / 3 = 7 gerbils. \n\nIn total, Larry has 3 cats + 9 dogs + 7 rabbits + 21 fish + 7 gerbils = 47 pets. \n\n#### 47\nThe answer is: 47", "answer": {"result": 47}}, "matches": true} +{"solution": {"solution": "Abby can eat 2 slices of bread a day. \n\nJosh can eat twice as much as Abby, so he can eat 2 x 2 = 4 slices of bread a day.\n\nTogether, Abby and Josh can eat 2 + 4 = 6 slices of bread a day.\n\nA loaf of bread has 24 slices. \n\nTherefore, the loaf of bread will last 24 / 6 = 4 days.\n\n#### 4\nThe answer is: 4", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "Martha has been collecting shells for 10 - 5 = 5 years.\n\nSince she collects one shell per month, over 5 years, she will have collected 5 years * 12 months/year = 60 shells.\n\nTherefore, Martha will have collected $\\boxed{60}$ shells by her 10th birthday.The answer is: 60", "answer": {"result": 60}}, "matches": true} +{"solution": {"solution": "First, let's find out how many cups of chamomile and mint tea Lana uses in each row. Since there are 3 rows and she divides the 27 cups equally between the two types of tea in each row, we divide 27 by 3 to find out how many cups are in each type:\n\n27 cups / 3 rows = 9 cups per row\n\nSince each row has an equal amount of chamomile and mint tea, we divide these 9 cups by 2 to find the number of cups of each type:\n\n9 cups / 2 types of tea = 4.5 cups per type per row\n\nHowever, since we can't have half a cup of tea, we need to adjust our calculation. Lana must have used whole cups for the tea. Let's assume she used whole cups for the chamomile and mint tea, and then the remaining cups were used for the cinnamon tea.\n\nWe know that 15 cups were used for cinnamon tea, so let's subtract that from the total number of cups to find out how many were used for chamomile and mint tea:\n\n27 cups - 15 cups = 12 cups used for chamomile and mint tea\n\nNow, let's divide these 12 cups equally between the chamomile and mint tea in each row:\n\n12 cups / 3 rows = 4 cups per row for chamomile and mint tea combined\n\nSince each row has an equal amount of chamomile and mint tea, we divide these 4 cups by 2 to find the number of cups of each type:\n\n4 cups / 2 = 2 cups of mint tea per row\n\nSo, there are $\\boxed{2}$ cups of mint tea in each row.", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "1. **Determine the total number of trips possible in 8 hours:**\n\n Given that each round trip (down the tree and back up) takes 4 hours, the number of trips possible in 8 hours is:\n \\[\n \\frac{8 \\text{ hours}}{4 \\text{ hours/trip}} = 2 \\text{ trips}\n \\]\n\n2. **Calculate the total berries picked in one round trip:**\n\n Since the sloth picks 24 berries in 8 hours and makes 2 trips:\n \\[\n \\frac{24 \\text{ berries}}{2 \\text{ trips}} = 12 \\text{ berries/trip}\n \\]\n\n3. **Conclusion:**\n The minimum number of berries the sloth must pick up on each trip down the tree to collect 24 berries in 8 hours is:\n \\[\n \\boxed{12}\n \\]", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "\n\nFirst, we determine the amount of water they fill the tank with. Since they use half the amount of water in the pool, they fill the tank with 10000/2 = 5000 gallons of water. \n\nNext, we calculate how much water will remain in the tank after 6 days. The tank starts with 5000 gallons and is emptied at a rate of 500 gallons per day. \n\nAfter 6 days, the total amount of water removed from the tank is 6 days * 500 gallons/day = 3000 gallons. \n\nTo find the remaining water in the tank after 6 days, we subtract the total amount of water removed from the initial amount: 5000 gallons - 3000 gallons = 2000 gallons. \n\nTherefore, there will be 2000 gallons of water remaining in the tank after 6 days. \n\nAnswer: 2000", "answer": {"result": 2000}}, "matches": true} +{"solution": {"solution": "1. Calculate the total amount spent on movie tickets for Friday and Saturday:\n - 5 movies on Friday or Saturday = 5 \\times $10 = $50\n \n2. Calculate the total amount spent on movie tickets for weekdays:\n - 8 movies on other days = 8 \\times $7 = $56\n\n3. Calculate the total amount spent on popcorn:\n - 2 tubs of popcorn = 2 \\times $8 = $16\n\n4. Calculate the total amount spent on candy:\n - 4 boxes of candy = 4 \\times $2 = $8\n\n5. Sum up all the expenses:\n - Total movie tickets = $50 (Friday/Saturday) + $56 (weekday) = $106\n - Total popcorn = $16\n - Total candy = $8\n - Total expenses = $106 + $16 + $8 = $130\n\n6. Determine remaining budget:\n - Initial budget for the month = $150\n - Remaining budget after expenses = $150 - $130 = $20\n\n7. Calculate the number of additional movies Colby can see with the remaining budget:\n - Each additional movie on a Friday or Saturday costs $10\n - Number of additional movies = $20 / $10 = 2 movies\n\n### Conclusion:\nColby can see $\\boxed{2}$ more movies before he runs out of budget for the month.", "answer": {"result": 2}}, "matches": false} +{"solution": {"solution": "First, let's calculate the total calories of the mini cinnamon rolls and mini blueberry muffins separately.\n\nFor the mini cinnamon rolls:\n- Each mini cinnamon roll has 1/3rd of the calories of a normal cinnamon roll, which is 600 calories.\n- Therefore, each mini cinnamon roll has 600 / 3 = 200 calories.\n- Andrew bakes 200 mini cinnamon rolls, so the total calories from mini cinnamon rolls are 200 * 200 = 40,000 calories.\n\nFor the mini blueberry muffins:\n- Each mini blueberry muffin has 1/3rd of the calories of a normal blueberry muffin, which is 450 calories.\n- Therefore, each mini blueberry muffin has 450 / 3 = 150 calories.\n- Andrew bakes 300 mini blueberry muffins, so the total calories from mini blueberry muffins are 300 * 150 = 45,000 calories.\n\nNow, let's add the total calories from both types of pastries to find the total calories for all the pastries Andrew baked:\nTotal calories = Calories from mini cinnamon rolls + Calories from mini blueberry muffins\nTotal calories = 40,000 + 45,000\nTotal calories = 85,000\n\nTherefore, the pastries Andrew baked have a total of $\\boxed{85,000}$ calories.", "answer": {"result": 85000}}, "matches": true} +{"solution": {"solution": "To find the average number of Junebugs Rita removes per day, we first need to calculate the total number of Junebugs she removed over the five days and then divide that by the number of days.\n\n- On Monday, she removed 39 Junebugs.\n- On Tuesday, she removed twice as many as on Monday, which is $2 \\times 39 = 78$ Junebugs.\n- On Wednesday, she again removed twice as many as on Monday, which is $2 \\times 39 = 78$ Junebugs.\n- On Thursday, she removed 48 Junebugs.\n- On Friday, she removed 57 Junebugs.\n\nAdding these amounts together gives the total number of Junebugs removed over the five days:\n\n\\[39 + 78 + 78 + 48 + 57 = 300\\]\n\nTo find the average number of Junebugs removed per day, we divide this total by the number of days (5):\n\n\\[\\frac{300}{5} = 60\\]\n\nTherefore, the average number of Junebugs Rita removes per day is $\\boxed{60}$.", "answer": {"result": 60}}, "matches": true} +{"solution": {"solution": "\nThe bus travels 60 miles per hour for 5 hours, so it travels 60 * 5 = 300 miles.\nThe car travels 30 miles per hour for 8 hours, so it travels 30 * 8 = 240 miles.\nThe bus went 300 - 240 = 60 miles farther than the car.\nThe answer is: 60", "answer": {"result": 60}}, "matches": true} +{"solution": {"solution": "Sophie already has 31 building blocks + 8 stuffed animals + 9 stacking rings = 48 toys. \n\nThe total number of toys she has after adding the bouncy balls is 62. \n\nSo, the number of bouncy balls is 62 - 48 = 14. \n\nTherefore, Sophie bought a tube of 14 bouncy balls. \n\n#### 14\nThe answer is: 14", "answer": {"result": 14}}, "matches": true} +{"solution": {"solution": "\n1. Let's denote the ages of Peter, Paul, and Jean as \\( P \\), \\( Q \\), and \\( J \\) respectively.\n\n2. According to the problem, the sum of their ages is 100 years. Therefore, we have the equation:\n \\[\n P + Q + J = 100\n \\]\n\n3. We also know that Paul is 10 years older than John, so we can write:\n \\[\n Q = J + 10\n \\]\n\n4. Additionally, it is given that Peter's age is equal to the sum of Paul and John's age. Thus, we have:\n \\[\n P = Q + J\n \\]\n\n5. Substitute \\( Q \\) from the second equation into the third equation:\n \\[\n P = (J + 10) + J\n \\]\n \\[\n P = 2J + 10\n \\]\n\n6. Now, we substitute \\( P \\) and \\( Q \\) in the first equation:\n \\[\n P + Q + J = 100\n \\]\n Substitute \\( P \\) and \\( Q \\):\n \\[\n (2J + 10) + (J + 10) + J = 100\n \\]\n\n7. Simplify and solve for \\( J \\):\n \\[\n 2J + 10 + J + 10 + J = 100\n \\]\n \\[\n 4J + 20 = 100\n \\]\n \\[\n 4J = 100 - 20\n \\]\n \\[\n 4J = 80\n \\]\n \\[\n J = 20\n \\]\n\n8. Now that we have \\( J \\), we can find \\( P \\) using the expression we derived:\n \\[\n P = 2J + 10\n \\]\n Substitute \\( J = 20 \\):\n \\[\n P = 2(20) + 10\n \\]\n \\[\n P = 40 + 10\n \\]\n \\[\n P = 50\n \\]\n\n### Conclusion:\nThe age of Peter is \n\\[\n\\boxed{50}\n\\]", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "Maria invited 4 friends, so there are a total of 4 + 1 (Maria) = 5 girls.\n\nAt the start of the game, Maria gave each friend 2 water balloons, so 4 friends x 2 balloons each = 8 balloons for her friends.\n\nMaria had 1 water balloon for herself.\n\nHer mom then gave each person 3 more balloons, so 5 girls x 3 balloons each = 15 balloons from her mom.\n\nAdding up all the balloons, the girls had:\n\nMaria's balloons: 1\nFriends' balloons (initial): 8\nMom's balloons (for all): 15\n\nTotal balloons = 1 + 8 + 15 = 24 balloons.\n\nThe girls had $\\boxed{24}$ water balloons in total.", "answer": {"result": 24}}, "matches": true} +{"solution": {"solution": "Each person donates 5 boxes of stuff, so 10 people donating 5 boxes each means they donate a total of 10 * 5 = 50 boxes of stuff.\n\nThey already have 10 boxes of stuff, so in total, they have 50 + 10 = 60 boxes of stuff.\n\nEach table can fit 2 boxes of stuff, so the number of tables needed is 60 / 2 = 30 tables.\n\nThey already own 15 tables, so they need 30 - 15 = 15 new tables.\n\nThe charity group needs $\\boxed{15}$ new tables.", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total distance each person spits their seeds.\n\nFor Zoey:\nZoey has 40 seeds and spits each one 10 feet.\nTotal distance for Zoey = 40 seeds * 10 feet/seed = 400 feet\n\nFor Sydney:\nSydney has 35 seeds and spits each one 12 feet.\nTotal distance for Sydney = 35 seeds * 12 feet/seed = 420 feet\n\nNow, let's find the combined total distance:\nCombined total distance = Zoey's distance + Sydney's distance\nCombined total distance = 400 feet + 420 feet = 820 feet\n\nTo find the average total distance spat, we divide the combined total distance by the number of people (2):\n\nAverage total distance = Combined total distance / Number of people\nAverage total distance = 820 feet / 2\nAverage total distance = 410 feet\n\nThe average total distance spat is $\\boxed{410}$ feet.", "answer": {"result": 410}}, "matches": true} +{"solution": {"solution": "To solve this problem, we'll calculate the monthly production and revenue for both the Widgeteer 3000 and the WidgetMaster 9000, and then find the difference.\n\n**Widgeteer 3000:**\n\n1. **Hourly Production:** The Widgeteer 3000 produces 60 widgets per hour.\n2. **Daily Production:** Over 24 hours, it produces $60 \\times 24 = 1440$ widgets per day.\n3. **Monthly Production:** Over 30 days, it produces $1440 \\times 30 = 43200$ widgets per month.\n4. **Monthly Revenue:** Since each widget sells for $6, the monthly revenue is $43200 \\times 6 = 259200$ dollars.\n\n**WidgetMaster 9000:**\n\n1. **Hourly Production:** The WidgetMaster 9000 produces 45 widgets per hour.\n2. **Daily Production:** Over 24 hours, it produces $45 \\times 24 = 1080$ widgets per day.\n3. **Monthly Production:** Over 30 days, it produces $1080 \\times 30 = 32400$ widgets per month.\n4. **Monthly Revenue:** With each widget selling for $6, the monthly revenue is $32400 \\times 6 = 194400$ dollars.\n\n**Difference in Monthly Revenue:**\n\nTo find out how much more Fern makes with the Widgeteer 3000 compared to the WidgetMaster 9000, we subtract the monthly revenue of the WidgetMaster 9000 from that of the Widgeteer 3000.\n\n\\[259200 - 194400 = 64800\\]\n\nTherefore, Fern will make $\\boxed{64800}$ dollars more per month using the Widgeteer 3000 compared to the WidgetMaster 9000.", "answer": {"result": 64800}}, "matches": true} +{"solution": {"solution": "Cameron arrives at 5 pm and wants to leave at 10 am the next morning, which is a total of 24 - 5 = 19 hours.\n\nFor the first 12 hours, the cost is 1000 pesos.\n\nAfter the first 12 hours, Cameron stays for an additional 19 - 12 = 7 hours.\n\nHe pays 70 pesos for every additional hour, so for 7 hours, he pays 7 * 70 = 490 pesos.\n\nIf Cameron had chosen the 24-hour option, he would have paid 1600 pesos.\n\nTherefore, Cameron saves 1600 - (1000 + 490) = 1600 - 1490 = 110 pesos.\n\n#### 110\nThe answer is: 110", "answer": {"result": 110}}, "matches": false} +{"solution": {"solution": "First, let's calculate the amount of hay each sheep needs. Each sheep needs 3 pounds less than twice the amount each goat needs. Since each goat needs 5 pounds, twice that amount is 5 * 2 = 10 pounds. Therefore, each sheep needs 10 - 3 = 7 pounds of hay.\n\nNext, let's calculate the total amount of hay needed for the goats. There are 15 goats, each needing 5 pounds, so the total amount of hay needed for the goats is 15 * 5 = 75 pounds.\n\nNow, let's calculate the total amount of hay needed for the sheep. There are 12 sheep, each needing 7 pounds, so the total amount of hay needed for the sheep is 12 * 7 = 84 pounds.\n\nFinally, let's add the total amount of hay needed for both the goats and the sheep to find the total amount of hay Nate needs. 75 pounds (for goats) + 84 pounds (for sheep) = 159 pounds.\n\nNate needs a total of 159 pounds of hay.\n\nThe answer is: 159", "answer": {"result": 159}}, "matches": true} +{"solution": {"solution": "John earned 50 dollars an hour and worked 6 hours, so he earned 50 * 6 = 300 dollars.\nHe spent 50 dollars on gas, so he has 300 - 50 = 250 dollars left.\nHe wants to deposit 100 dollars in the bank, so he has 250 - 100 = 150 dollars left to spend.\nHe wants to buy 5 pencils that cost 10 dollars each, so he spends 5 * 10 = 50 dollars on pencils.\nHe has 150 - 50 = 100 dollars left to spend on pens.\nEach pen costs 25 dollars, so he can buy 100 / 25 = 4 pens.\n#### 4\nThe answer is: 4", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "Craig spelled 20 words with 15 letters each, so he spelled a total of 20 * 15 = 300 letters.\n\nCraig's brother spelled words with a total count of letters 50 more than Craig, which means Craig's brother spelled 300 + 50 = 350 letters.\n\nTo find the total number of letters in the words they've spelled after the ten rounds, we add Craig's count to his brother's count: 300 + 350 = 650.\n\nTherefore, the total number of letters in the words they've spelled after the ten rounds is 650.\n\n#### 650\nThe answer is: 650", "answer": {"result": 650}}, "matches": true} +{"solution": {"solution": "\nTo determine the total number of participants in the drill, we need to calculate the number of children in each row and then multiply it by the number of rows per school and the number of schools.\n\n1. **Calculate the number of children in each row:**\n - There are 8 children in each row.\n\n2. **Calculate the number of rows per school:**\n - There are 7 rows per school.\n\n3. **Calculate the total number of rows across all schools:**\n \\[\n 7 \\text{ rows/school} \\times 5 \\text{ schools} = 35 \\text{ rows}\n \\]\n\n4. **Calculate the total number of children in the drill:**\n - Multiply the number of children in each row by the total number of rows.\n \\[\n 8 \\text{ children/row} \\times 35 \\text{ rows} = 280 \\text{ children}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{280}\n\\]", "answer": {"result": 280}}, "matches": true} +{"solution": {"solution": "\n1. **Calculate the total number of bottles of juice the teacher can redeem using the coupons:**\n\n The teacher has 9 coupons, and each coupon allows her to get 100 bottles of juice. Therefore, the total number of bottles she can redeem is:\n \\[\n 9 \\text{ coupons} \\times 100 \\text{ bottles/coupon} = 900 \\text{ bottles}\n \\]\n\n2. **Calculate the total number of bottles of juice needed for the students:**\n\n There are 29 students in the class, and the teacher gives each student 2 bottles of juice. Thus, the total number of bottles needed for the students is:\n \\[\n 29 \\text{ students} \\times 2 \\text{ bottles/student} = 58 \\text{ bottles}\n \\]\n\n3. **Determine the remaining number of bottles of juice after giving the students their juice:**\n\n Subtract the total number of bottles needed for the students from the total number of bottles the teacher can redeem:\n \\[\n 900 \\text{ bottles} - 58 \\text{ bottles} = 842 \\text{ bottles}\n \\]\n\n4. **Calculate the number of bottles of juice the teacher can drink:**\n\n The teacher has 842 bottles remaining after giving each student their juice. Since each bottle is consumed by the teacher, she has:\n \\[\n 842 \\text{ bottles}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{842}\n\\]", "answer": {"result": 842}}, "matches": true} +{"solution": {"solution": "\nTo calculate the total charge Patty Plumbing made for the job, we need to consider the visit charge, the labor charge, and the parts cost.\n\n1. **Visit Charge**: There is a flat visit charge of $40.\n\n2. **Labor Charge**: The labor charge is $35 per hour. For the job that took 2.25 hours, the labor charge is calculated as follows:\n \\[\n \\text{Labor Charge} = 35 \\times 2.25 = 78.75\n \\]\n\n3. **Parts Cost**: The cost for parts used in the job is $60.\n\n4. **Total Charge**: To find the total charge, we sum the visit charge, labor charge, and parts cost:\n \\[\n \\text{Total Charge} = \\text{Visit Charge} + \\text{Labor Charge} + \\text{Parts Cost}\n \\]\n Substituting the calculated values, we get:\n \\[\n \\text{Total Charge} = 40 + 78.75 + 60 = 178.75\n \\]\n\nThus, the total charge for the job is \\(\\boxed{178.75}\\).\n\n**Conclusion:**\n\nThe total amount Patty Plumbing charged for the job was $\\boxed{178.75}$.", "answer": {"result": 178.75}}, "matches": false} +{"solution": {"solution": "\nFirst, let's calculate the discount James gets on each CD. \n\nThe discount is 40% of the original price, which is $15. \n40% of $15 is (40/100) * $15 = $6.\n\nSo, each CD is discounted by $6, making the discounted price $15 - $6 = $9.\n\nJames gets 10 CDs at this discounted price, so the total cost before selling the 5 CDs he didn't like is 10 * $9 = $90.\n\nNext, let's calculate how much he made from selling the 5 CDs he didn't like. \n\nHe sold each of these 5 CDs for $40, so the total amount he made from selling them is 5 * $40 = $200.\n\nNow, let's find out how much money James was out, which is the difference between the total cost of the CDs and the amount he made from selling the 5 CDs he didn't like.\n\nHe was out $90 (total cost) - $200 (amount made from selling 5 CDs) = -$110.\n\nSince the result is negative, it means James actually made money on this transaction, not lost it. \nTherefore, James was not out any money; instead, he made a profit of $110.\n\nFinal answer: James was not out any money; he made a profit of $110.\n\nThe final answer is $\\boxed{110}$ .", "answer": {"result": 110}}, "matches": false} +{"solution": {"solution": "Jen has 6 yams and can sell each at $1.5, so she will earn 6 * $1.5 = $9 from the yams. \n\nShe also has 10 sweet potatoes and can sell each at $2, so she will earn 10 * $2 = $20 from the sweet potatoes. \n\nLastly, she has 4 carrots and can sell each at $1.25, so she will earn 4 * $1.25 = $5 from the carrots. \n\nIn total, Jen will earn $9 + $20 + $5 = $34 if she sells all her root crops. \n\n#### 34\nThe answer is: 34", "answer": {"result": 34}}, "matches": true} +{"solution": {"solution": "\nFirst, let's calculate how far James swims before stopping on the island. He swims 60% of the 20-mile lake, which is:\n\n0.60 * 20 miles = 12 miles\n\nAt a pace of 2 miles per hour, the time it takes him to swim 12 miles is:\n\n12 miles / 2 miles per hour = 6 hours\n\nNext, let's find out how long he rests on the island. He rests for half as long as the swimming time, which is:\n\n6 hours / 2 = 3 hours\n\nFinally, let's calculate the remaining distance James has to swim after resting. The total distance is 20 miles, and he has already swum 12 miles, so the remaining distance is:\n\n20 miles - 12 miles = 8 miles\n\nAfter resting, James swims the remaining distance at half his usual speed, which is 1 mile per hour. The time it takes him to swim 8 miles at this reduced speed is:\n\n8 miles / 1 mile per hour = 8 hours\n\nAdding up all the time James spends swimming and resting:\n\n6 hours (swimming the first part) + 3 hours (resting) + 8 hours (swimming the second part) = 17 hours\n\nSo, it took James $\\boxed{17}$ hours to get across the lake.", "answer": {"result": 17}}, "matches": true} +{"solution": {"solution": "Let's break down the problem step by step:\n\n1. Sam had seventy loaves of bread last Friday.\n2. The bakery has 40 less than seven times as many loaves of bread as Sam had.\n\nFirst, we calculate seven times as many loaves of bread as Sam had:\n\\[ 7 \\times 70 = 490 \\]\n\nNext, we subtract 40 from this number to find out how many loaves of bread the bakery has:\n\\[ 490 - 40 = 450 \\]\n\nTherefore, the bakery has $\\boxed{450}$ loaves of bread.", "answer": {"result": 450}}, "matches": true} +{"solution": {"solution": "Jasmine started with 15 stickers. \n\nAfter losing 7 stickers, she has: 15 - 7 = 8 stickers.\n\nThen, her teacher gives her another 5 stickers, so she has: 8 + 5 = 13 stickers. \n\nTherefore, Jasmine has $\\boxed{13}$ stickers at the end.", "answer": {"result": 13}}, "matches": true} +{"solution": {"solution": "To calculate the total commission earned by Cayley from the sales of the New York Times and Wall Street Journal, we follow these steps:\n\n1. **Calculate the commission for the New York Times:**\n\n- The commission rate is 10% for each copy of the New York Times.\n- The cost of each copy of the New York Times is $5.\n- Therefore, the commission per copy is calculated as:\n \\[\n \\text{Commission per copy} = 10\\% \\times \\$5 = 0.10 \\times \\$5 = \\$0.50\n \\]\n- For 6 copies sold, the total commission is:\n \\[\n \\text{Total commission for New York Times} = 6 \\times \\$0.50 = \\$3\n \\]\n\n2. **Calculate the commission for the Wall Street Journal:**\n\n- The commission rate is 8% for each copy of the Wall Street Journal.\n- The cost of each copy of the Wall Street Journal is $15.\n- Therefore, the commission per copy is calculated as:\n \\[\n \\text{Commission per copy} = 8\\% \\times \\$15 = 0.08 \\times \\$15 = \\$1.20\n \\]\n- For 10 copies sold, the total commission is:\n \\[\n \\text{Total commission for Wall Street Journal} = 10 \\times \\$1.20 = \\$12\n \\]\n\n3. **Calculate the total commission earned:**\n\n- Adding the commissions from both types of newspapers gives the total commission earned:\n \\[\n \\text{Total commission} = \\$3 + \\$12 = \\$15\n \\]\n\nThus, the total commission Cayley earns from the sales of 6 copies of the New York Times and 10 copies of the Wall Street Journal is $\\boxed{\\$15}$.", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "Let's denote Leo's age as L and Marcus's age as M.\n\nFrom the information given, we have the following relationships:\n\n1. Marcus is half of Leo's age:\nM = (1/2)L\n\n2. Marcus is five years younger than Deanna:\nM = D - 5\n\n3. Deanna's age is 26:\nD = 26\n\nNow, we can substitute the value of D into the second equation to find Marcus's age:\n\nM = 26 - 5\nM = 21\n\nNow that we have Marcus's age, we can use the first equation to find Leo's age:\n\n21 = (1/2)L\n\nTo solve for L, we multiply both sides by 2:\n\n21 * 2 = L\n42 = L\n\nLeo is $\\boxed{42}$ years old.", "answer": {"result": 42}}, "matches": true} +{"solution": {"solution": "Let's denote the number of points Azibo scored as A and the number of points Dinar scored as D. According to the problem, Bahati scored the most points, which is 20 more than Azibo, so Bahati scored A + 20 points. Bahati's score is also 10 more than Dinar's, so Dinar scored A - 10 points.\n\nThe total points scored by the team is 45. Therefore, we can write the equation:\n\nA + (A + 20) + (A - 10) = 45\n\nCombining like terms, we get:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nHowever, since the number of points scored by each player must be a whole number, we can see that there was a mistake in our calculation. Let's correct it:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nAgain, we see that A cannot be a fraction. Let's re-evaluate our equation:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11.67\n\nWe made a mistake in the division. The correct division should be:\n\nA = 35 / 3\n\nA = 11.67\n\nThis is still incorrect. Let's try again:\n\n3A + 10 = 45\n\nSubtracting 10 from both sides, we get:\n\n3A = 35\n\nDividing both sides by 3, we get:\n\nA = 11", "answer": {"result": 11}}, "matches": false} +{"solution": {"solution": "1. **Understanding the Problem:**\n The problem states that the book is printed on paper where 100 pages fit into one inch. Each sheet of paper is used on both sides, meaning one side has one page and the other side has another page, effectively doubling the page count per sheet.\n\n2. **Determining Pages per Inch:**\n Since the paper accommodates 100 pages in one inch, and each sheet is used on both sides, each sheet contributes to 200 pages.\n\n3. **Calculating Total Pages for the Given Thickness:**\n The book's thickness is given as 1.5 inches. Since each inch contributes 200 pages (both sides), the total number of pages in the book will be:\n \\[\n \\text{Total Pages} = \\text{Number of inches} \\times \\text{Pages per inch}\n \\]\n Substituting the given values:\n \\[\n \\text{Total Pages} = 1.5 \\, \\text{inches} \\times 200 \\, \\text{pages per inch}\n \\]\n\n4. **Performing the Calculation:**\n \\begin{align*}\n \\text{Total Pages} & = 1.5 \\times 200 \\\\\n & = 300 \\, \\text{pages}\n \\end{align*}\n\n5. **Conclusion:**\n Therefore, the total number of pages in the book is:\n \\[\n \\boxed{300}\n \\]\n\nThis solution is consistent with the problem's requirements and uses the given density of pages per inch correctly.", "answer": {"result": 300}}, "matches": true} +{"solution": {"solution": "From 8:00 AM until 11:00 PM is a total of 15 hours. \nVince can staple 30 reports every 15 minutes, so in one hour (60 minutes), he can staple 30 reports / 15 minutes * 60 minutes = 120 reports. \nIn 15 hours, he can staple 120 reports/hour * 15 hours = 1800 reports. \nTherefore, Vince stapled a total of 1800 reports. \n#### 1800\nThe answer is: 1800", "answer": {"result": 1800}}, "matches": false} +{"solution": {"solution": "Kim usually sleeps from 10 p.m. to 6 a.m., which is a total of 8 hours. \n\nSince she woke up 5 minutes earlier than usual to go to the bathroom, she would typically wake up at 6 a.m. + 5 minutes = 6:05 a.m.\n\nNow, let's calculate the time she spent sleepwalking and then the time she slept in bed.\n\nKim sleptwalking from 2:15 to 2:38 a.m., which is a total of 2:38 - 2:15 = 23 minutes.\n\nNow, we need to find out how much of her usual 8-hour sleep she spent in bed. Since she sleptwalked for 23 minutes, we subtract that from her usual 8 hours:\n\n8 hours = 8 * 60 = 480 minutes\n\n480 minutes - 23 minutes (sleepwalking) = 457 minutes of sleep in bed.\n\nTherefore, Kim slept for 457 minutes in bed that day.", "answer": {"result": 457}}, "matches": false} +{"solution": {"solution": "To solve this problem, let's break it down step by step:\n\n1. **Determine the number of measuring spoons Jonathan starts with:**\n\n Since Jonathan has 2/3 as many measuring spoons as measuring cups, and he has two dozen cups (which is 24 cups), we can calculate the number of spoons he initially has as follows:\n \\[\n \\frac{2}{3} \\times 24 = 16 \\text{ measuring spoons}\n \\]\n\n2. **Calculate the number of measuring spoons Jonathan has after gifting Pedro 6:**\n\n After giving Pedro 6 measuring spoons, the number of spoons Jonathan has left is:\n \\[\n 16 - 6 = 10 \\text{ measuring spoons}\n \\]\n\n3. **Calculate the total number of utensils Jonathan has remaining:**\n\n Jonathan starts with 24 measuring cups and ends up with 10 measuring spoons. Therefore, the total number of utensils he has after the gift is:\n \\[\n 24 + 10 = 34 \\text{ utensils}\n \\]\n\nSo, the total number of utensils Jonathan has remaining is $\\boxed{34}$.", "answer": {"result": 34}}, "matches": true} +{"solution": {"solution": "The hospital has a capacity of 1000 beds with 1/5 occupied, meaning 1/5 * 1000 = 200 beds are occupied.\n\nDuring the coronavirus outbreak, 50 patients are admitted into the hospital each day. In two weeks (14 days), the number of new patients admitted would be 50 * 14 = 700.\n\nInitially, there are 200 occupied beds. After 700 new patients are admitted, the total number of patients in the hospital becomes 200 + 700 = 900.\n\nThe hospital has a capacity of 1000 beds, so the number of unoccupied beds after 2 weeks would be 1000 - 900 = $\\boxed{100}$ unoccupied beds.", "answer": {"result": 100}}, "matches": true} +{"solution": {"solution": "Robyn sends a total of 16 emails a day.\nSeven of those are work emails, so she has 16 - 7 = 9 emails remaining.\nTwo-thirds of the remaining emails are to family, so she sends 2/3 * 9 = 6 emails to family.\nThe other emails are divided into one-third for her boyfriend, so she sends 1/3 * (9 - 6) = 1 email to her boyfriend.\nTherefore, Robyn sends 1 email a day to her boyfriend.\n#### 1\nThe answer is: 1", "answer": {"result": 1}}, "matches": true} +{"solution": {"solution": "To solve this problem, I need to figure out how old Shawna is, and then multiply that by five to get her father's age. I know that Aliya is 3 years old, so Shawna is three times as old as that, which means Shawna is 3 * 3 = 9 years old. Now, to find her father's age, I need to multiply Shawna's age by five, since he is five times as old as she is. So, Shawna's father is 9 * 5 = 45 years old.", "answer": {"result": 45}}, "matches": true} +{"solution": {"solution": "\nIf Courtney overstated the number of people by 20%, then she counted 48 + 20% of 48 = 48 + 9.6 = 57.6 people. \nSince the number of people must be a whole number, we round 57.6 to 58. \nTherefore, Kelly was correct, and there were really 58 people at the concert. \n#### 58\nThe answer is: 58", "answer": {"result": 58}}, "matches": false} +{"solution": {"solution": "If Jason carried 2 balls, and Jordan carried twice as many balls as Jason, then Jordan carried 2 * 2 = 4 balls.\n\nSimilarly, if Jeffrey carried half as many balls as Jason, then Jeffrey carried 2 / 2 = 1 ball.\n\nAdding up the balls carried by Jordan, Jason, and Jeffrey, we get 4 + 2 + 1 = 7 balls.\n\nTherefore, the total number of balls that the coach brought to practice is $\\boxed{7}$ .The answer is: 7", "answer": {"result": 7}}, "matches": true} +{"solution": {"solution": "To solve the problem, we need to determine how many holes the pirates dug on the fourth day before finding the treasure. Let's break down the solution step by step:\n\n1. **Calculate the total number of holes dug by the end of the third day:**\n - The pirates dug 10 holes on the first day, 13 holes on the second day, and 8 holes on the third day. However, they filled in 2 holes, which were causing accidents.\n - Total holes dug by the end of the third day = (10 + 13 + 8) - 2 = 31 holes.\n\n2. **Determine the total number of holes by the fourth day:**\n - The problem states that by the end of the fourth day, there were four times as many holes as there were at the end of the first day.\n - Therefore, the total number of holes by the end of the fourth day = 4 * number of holes at the end of the first day = 4 * 10 = 40 holes.\n\n3. **Calculate the number of holes dug on the fourth day:**\n - To find out how many holes were dug on the fourth day, we subtract the number of holes at the end of the third day from the total number of holes by the end of the fourth day.\n - Holes dug on the fourth day = Total holes by the end of the fourth day - Total holes at the end of the third day = 40 - 31 = 9 holes.\n\nTherefore, the pirates dug $\\boxed{9}$ holes on the fourth day before they found the treasure.", "answer": {"result": 9}}, "matches": false} +{"solution": {"solution": "Amora and Lainey each received 70 corn chips, so together they received 70 + 70 = 140 corn chips.\n\nCollins received 15 more corn chips than the amount Amora and Lainey received. So, Collins received 140 + 15 = 155 corn chips.\n\nTo find the total number of corn chips, we add the corn chips received by Amora, Lainey, and Collins together: 140 (Amora and Lainey) + 155 (Collins) = 295 corn chips.\n\nTherefore, there were $\\boxed{295}$ corn chips altogether.", "answer": {"result": 295}}, "matches": false} +{"solution": {"solution": "The cost of the tickets is 50% more than the supplies, which means it is 100% + 50% = 150% of the supplies cost.\n\nTo find 150% of $400, we calculate 150/100 * $400 = 1.5 * $400 = $600.\n\nSo, the total cost for the tickets is $\\boxed{\\$600}$ .", "answer": {"result": 600}}, "matches": false} +{"solution": {"solution": "To solve the problem, let's denote the number of Pokemon caught by Adelwolfe as $x$. According to the problem, Stan has caught $13$ less than four times as many as Adelwolfe has caught. Therefore, the number of Pokemon Stan has caught can be expressed as $4x - 13$.\n\nGiven that the total number of Pokemon caught by all three is $339$, we can set up the equation to represent this total:\n\n\\[x + (4x - 13) + (4x - 13 + 5) = 339\\]\n\nSimplifying the equation by combining like terms:\n\n\\[x + 4x - 13 + 4x - 13 + 5 = 339\\]\n\n\\[9x - 21 = 339\\]\n\nAdding $21$ to both sides to isolate the term with $x$:\n\n\\[9x = 360\\]\n\nDividing both sides by $9$ to solve for $x$:\n\n\\[x = \\frac{360}{9}\\]\n\n\\[x = 40\\]\n\nSince $x$ represents the number of Pokemon caught by Adelwolfe, we need to find the number caught by Stan. Using the expression for Stan's catch, $4x - 13$, and substituting $x = 40$:\n\n\\[4x - 13 = 4(40) - 13\\]\n\n\\[4x - 13 = 160 - 13\\]\n\n\\[4x - 13 = 147\\]\n\nTherefore, Stan has caught $\\boxed{147}$ Pokemon.", "answer": {"result": 147}}, "matches": true} +{"solution": {"solution": "If each episode is 20 minutes long, then there are 20 / 2 = 10 episodes in total.\nIf John watches every episode, he will spend 20 minutes x 10 episodes = 200 minutes watching the show.\n#### 200\nThe answer is: 200", "answer": {"result": 200}}, "matches": true} +{"solution": {"solution": "To find the distance between the bird's northern and southern homes, we calculate the distance traveled in each segment of the journey and then sum them up.\n\n1. **Traveling Southerly:**\n - The bird flies south for 10 hours at a speed of 30 miles per hour.\n - Distance = Speed $\\times$ Time = $30 \\, \\text{miles/hour} \\times 10 \\, \\text{hours} = 300 \\, \\text{miles}$.\n\n2. **Traveling Northerly:**\n - After turning, the bird flies north for 2 hours at a speed of 18 miles per hour.\n - Distance = Speed $\\times$ Time = $18 \\, \\text{miles/hour} \\times 2 \\, \\text{hours} = 36 \\, \\text{miles}$.\n\n3. **Traveling Southerly (Final Segment):**\n - Finally, the bird flies south for 5 hours at a speed of 22 miles per hour.\n - Distance = Speed $\\times$ Time = $22 \\, \\text{miles/hour} \\times 5 \\, \\text{hours} = 110 \\, \\text{miles}$.\n\n4. **Total Distance Between Homes:**\n - The total distance is the sum of the distances traveled in each direction.\n - Total Distance = Southward Distance + Northward Distance + Southward Final Distance\n - Total Distance = $300 + 36 + 110 = 446 \\, \\text{miles}$.\n\nTherefore, the distance between the bird's northern and southern homes is $\\boxed{446 \\, \\text{miles}}$.", "answer": {"result": 446}}, "matches": false} +{"solution": {"solution": "Greta made 1 dozen brownies for herself, which is 1 x 12 = 12 brownies. \n\nAt her office, she received 1/2 a dozen brownies, which is 1/2 x 12 = 6 brownies. \n\nAt the surprise party, her friends had 4 dozen brownies, which is 4 x 12 = 48 brownies. \n\nDuring the party, 1 1/2 dozen brownies were eaten, which is 1.5 x 12 = 18 brownies. \n\nTo find out how many brownies Greta had left over, we need to add up all the brownies she had at different points in the day and then subtract the number of brownies eaten. \n\nTotal brownies = Brownies for herself + Brownies from office + Brownies from party - Brownies eaten\nTotal brownies = 12 + 6 + 48 - 18\nTotal brownies = 66 - 18\nTotal brownies = 48\n\nGreta had $\\boxed{48}$ individual brownies left over from the entire day.", "answer": {"result": 48}}, "matches": true} +{"solution": {"solution": "Nani's brother is twice his age, so the brother is 8 x 2 = 16 years old. \n\nNani's sister is 25% younger than Nani, which means she is 25/100 * 8 = 2 years younger. \n\nSo, Nani's sister is 8 - 2 = 6 years old. \n\nThe total age of all three family members is 8 (Nani) + 16 (brother) + 6 (sister) = $\\boxed{30}$ years.", "answer": {"result": 30}}, "matches": true} +{"solution": {"solution": "To calculate the total time Andy will spend restringing all the racquets, we need to consider the time it takes for each type of stringing.\n\n1. Synthetic gut racquets: 3 racquets * 15 minutes per racquet = 45 minutes\n2. Polyester string racquets: 5 racquets * 22 minutes per racquet = 110 minutes\n3. Hybrid set racquets: 4 racquets * 18 minutes per racquet = 72 minutes\n\nNow, we add up the time for each type of stringing to find the total time:\n\nTotal time = 45 minutes (synthetic gut) + 110 minutes (polyester) + 72 minutes (hybrid)\n\nTotal time = 227 minutes\n\nSo, it will take Andy $\\boxed{227}$ minutes to string all the racquets.", "answer": {"result": 227}}, "matches": true} +{"solution": {"solution": "John needs to buy phones for himself, his 2 kids, and his wife, which is a total of 1 + 2 + 1 = 4 phones. \n\nThe first two phones are at full price, which is $600 each. So, the cost for the first two phones is 2 * $600 = $1200.\n\nThe remaining two phones are at half price. So, each of these phones costs $600 / 2 = $300.\n\nThe cost for the remaining two phones is 2 * $300 = $600.\n\nAdding the cost of the full-price phones and the half-price phones, John paid a total of $1200 + $600 = $\\boxed{\\$1800}$ for all the phones.", "answer": {"result": 1800}}, "matches": true} +{"solution": {"solution": "Carlton's team has 13 players.\nZeke's team has 7 more players than Carlton's, so Zeke's team has 13 + 7 = 20 players.\nThe total number of players in both teams combined is 13 + 20 = 33.\n#### 33\nThe answer is: 33", "answer": {"result": 33}}, "matches": true} +{"solution": {"solution": "To find the total length of fencing Robert needs, we need to calculate the perimeter of the rectangular garden. \nThe perimeter is calculated by adding up all the sides of the rectangle. \nIn this case, the length is 15 feet and the width is 10 feet. \nSo the perimeter is 2 * (15 + 10) = 2 * 25 = 50 feet. \nSince Robert needs 2 wood slats for every foot of fencing, he will need 2 * 50 = 100 wooden slats. \n#### 100\nThe answer is: 100", "answer": {"result": 100}}, "matches": true} +{"solution": {"solution": "Mrs. Harrington bought 12 boxes of oranges, and each box contains 20 oranges. \n\n12 boxes * 20 oranges/box = 240 oranges\n\nShe gave her mom and her sister 2 boxes each, so she gave away a total of:\n\n2 boxes/person * 2 people = 4 boxes\n\n4 boxes * 20 oranges/box = 80 oranges\n\nAfter giving away the oranges, she kept 1/4 of the original number of oranges. \n\n1/4 * 240 oranges = 60 oranges\n\nNow, subtract the oranges she kept and gave away from the total to find out how many she sold:\n\n240 oranges - 80 oranges - 60 oranges = 100 oranges\n\nMrs. Harrington sold $\\boxed{100}$ oranges.", "answer": {"result": 100}}, "matches": false} +{"solution": {"solution": "Half the number of states in the USA is 50/2 = 25.\nIndia has 4 more than half the number of states in the USA, so India has 25 + 4 = 29 states.\nThe total number of states in both countries together is 50 + 29 = 79.\n#### 79\nThe answer is: 79", "answer": {"result": 79}}, "matches": true} +{"solution": {"solution": "Tyler needs to buy three books in total: a dictionary for $18, a dinosaur book for $13, and a children's cookbook for $8. The total cost of these books is:\n\n$18 (dictionary) + $13 (dinosaur book) + $8 (cookbook) = $39\n\nTyler has already saved $14 from his allowance. To find out how much more he needs to earn, we subtract the amount he has saved from the total cost of the books:\n\n$39 (total cost) - $14 (savings) = $25\n\nTyler earns $5 per hour from his job. To find out how many hours he needs to work to earn the remaining $25, we divide the amount he needs by his hourly wage:\n\n$25 / $5 per hour = 5 hours\n\nTyler needs to work 5 hours to earn the remaining money to afford his books. Since he has already saved $14, he does not need to work any additional hours beyond this to cover the cost of his books.\n\nThe final answer is that Tyler needs to work 5 hours to afford his books.\n\n5", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "Let's denote the number of cherries Richard has as R, the number of cherries Jerry has as J, and the number of cherries Robert has as Robert.\n\nFrom the problem, we know that:\n1. Robert has 30 cherries.\n2. Robert has 10 more cherries than Richard.\n3. All three together have 60 cherries.\n\nWe can write these as equations:\n1. Robert = 30\n2. Robert = R + 10\n3. Robert + Richard + Jerry = 60\n\nUsing the second equation, we can express Richard's cherries in terms of Robert's:\nR = Robert - 10\n\nNow, substituting the value of Robert from the first equation:\nR = 30 - 10\nR = 20\n\nNow we know Richard has 20 cherries. We can use the third equation to find Jerry's cherries:\nRobert + Richard + Jerry = 60\n30 + 20 + Jerry = 60\nJerry = 60 - 50\nJerry = 10\n\nNow we can find out how many more cherries Robert has than Jerry:\nRobert - Jerry = 30 - 10\nRobert - Jerry = 20\n\nSo, Robert has $\\boxed{20}$ more cherries than Jerry.", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "On Saturday, Sunny sold 10 boxes of gingerbread and 4 fewer boxes of apple pie than on Sunday, so he sold 15 - 4 = 11 boxes of apple pie on Saturday. \n\nOn Sunday, he sold 5 more boxes of gingerbread than on Saturday, so he sold 10 + 5 = 15 boxes of gingerbread on Sunday. \n\nThe total earnings from gingerbread for both days is (10 + 15) * $6 = 25 * $6 = $150. \n\nThe total earnings from apple pie for both days is (11 + 15) * $15 = 26 * $15 = $390. \n\nTherefore, Sunny earned a total of $150 + $390 = $540 for two days. \n\n#### 540\nThe answer is: 540", "answer": {"result": 540}}, "matches": true} +{"solution": {"solution": "To determine how many bottles of sunscreen Pamela will need, we follow these steps:\n\n1. Calculate the total hours Pamela will be outside on her vacation:\n \\[\n 4 \\, \\text{hours/day} \\times 8 \\, \\text{days} = 32 \\, \\text{hours}\n \\]\n\n2. Determine the amount of sunscreen Pamela uses in those 32 hours, given she reapplies an ounce every hour:\n \\[\n 32 \\, \\text{hours} \\times 1 \\, \\text{ounce/hour} = 32 \\, \\text{ounces}\n \\]\n\n3. Since her sunscreen comes in 8-ounce bottles, calculate how many bottles she needs to cover 32 ounces:\n \\[\n 32 \\, \\text{ounces} \\div 8 \\, \\text{ounces/bottle} = 4 \\, \\text{bottles}\n \\]\n\nTherefore, Pamela will need to pack $\\boxed{4}$ bottles of sunscreen for her vacation.", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "The red car is 40% cheaper than the blue car, which means it is priced at 100% - 40% = 60% of the blue car's price.\n\nThe blue car's price is $100, so 60% of that price is:\n\n$100 * 60% = $100 * 0.60 = $60\n\nTherefore, the red car costs $60.\n\nTo find the total cost of both cars, we add the price of the blue car and the price of the red car:\n\nBlue car: $100\nRed car: $60\nTotal: $100 + $60 = $160\n\nSo, both cars cost a total of $\\boxed{\\$160}$ .", "answer": {"result": 160}}, "matches": true} +{"solution": {"solution": "Let's denote Emil's dad's current age as D and his brother's current age as B. \n\n1. When Emil turns 24, he will be half the age of his dad. At that time, his dad will be 24 * 2 = 48 years old. So, currently, his dad is 48 years old.\n\n2. When Emil turns 24, he will also be twice as old as his brother. That means his brother will be 24 / 2 = 12 years old at that time. So, currently, his brother is 12 years old.\n\n3. We know Emil is currently 19 years old.\n\nNow, we can find the sum of the ages of Emil's dad and brother:\n\nD (dad's age) = 48 years\nB (brother's age) = 12 years\n\nSum of their ages = D + B = 48 + 12 = 60 years\n\nThe sum of the ages of Emil's dad and brother now is $\\boxed{60}$ years.", "answer": {"result": 60}}, "matches": false} +{"solution": {"solution": "Adrianne's mother gave her 20 metallic beads.\n\nHer sister gave her 10 more beads than her mother, so her sister gave her 20 + 10 = 30 beads.\n\nHer friend gave her twice as many beads as her mother, so her friend gave her 20 x 2 = 40 beads.\n\nAltogether, Adrianne had 20 (from her mother) + 30 (from her sister) + 40 (from her friend) = $\\boxed{90}$ beads.", "answer": {"result": 90}}, "matches": true} +{"solution": {"solution": "On Friday, Joe caught 4 times the amount he caught on Thursday, which is 4 * 3 = 12 pounds of crawfish. \n\nOn Saturday, he caught half the amount of his Friday's catch, which is 12 / 2 = 6 pounds of crawfish. \n\nIn total, Joe caught 3 (Thursday) + 12 (Friday) + 6 (Saturday) = 21 pounds of crawfish over the three days.\n\nIf 1 serving is 3 pounds, then the number of servings Joe has is 21 / 3 = $\\boxed{7}$ servings.", "answer": {"result": 7}}, "matches": true} +{"solution": {"solution": "20% of 30 students is 0.20 x 30 = 6 students who are football players.\n\nThe remaining students are 30 - 6 = 24 students.\n\n25% of 24 students is 0.25 x 24 = 6 students who are cheerleaders or in the band.\n\nTherefore, the total number of students leaving early is 6 football players + 6 cheerleaders/band members = 12 students.\n\n#### 12\nThe answer is: 12", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "If Sophie wears size five boots, Charlie's boots are five times the size, so Charlie wears size five times five, which is size twenty-five boots. \n\nTo find the average size of the shoes worn by the two, we add the sizes together and divide by the number of people:\n\nAverage size = (Sophie's size + Charlie's size) / 2\nAverage size = (5 + 25) / 2\nAverage size = 30 / 2\nAverage size = 15\n\nSo, the average size of the shoes worn by Sophie and Charlie is $\\boxed{15}$ .", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "First, we need to calculate how many plants Pat will need to fill up her flower bed. Since the flower bed is 111 feet long and each plant grows 12 inches wide, we need to convert the length of the flower bed to inches to match the unit of measurement for the plants. \n\n111 feet * 12 inches/foot = 1332 inches\n\nNow, we need to calculate the space between each plant. Since Pat wants to leave 1.5 feet between each plant, we need to convert this measurement to inches as well.\n\n1.5 feet * 12 inches/foot = 18 inches\n\nNow, we can calculate the space that 17 flowers will take up, including the space between each plant.\n\n17 plants * (12 inches/plant + 18 inches/space) = 17 * 30 inches = 510 inches\n\nNow, we need to find out how many more inches of space are needed to fill the entire flower bed.\n\n1332 inches (length of the flower bed) - 510 inches (space taken by 17 flowers) = 822 inches\n\nNow, we can calculate how many more plants Pat needs to buy.\n\n822 inches / (12 inches/plant + 18 inches/space) = 822 inches / 30 inches/plant = 27.4 plants\n\nSince Pat can't buy a fraction of a plant, she needs to buy 28 more plants.\n\n28 plants * $6/plant = $168\n\nTherefore, Pat will spend $168 at the store to fill up her flower bed.\n\n#### 168\nThe answer is: 168", "answer": {"result": 168}}, "matches": false} +{"solution": {"solution": "If Edgar eats 18 pretzels a day, then his brother eats 18/2 = 9 pretzels a day.\n\nIn a week, there are 7 days, so his brother eats 9 pretzels/day * 7 days/week = $\\boxed{63}$ pretzels in a week.", "answer": {"result": 63}}, "matches": true} +{"solution": {"solution": "Katherine wants to add 3 petunias to each basket and 2 sweet potato vines, so she needs 3 x 5 = 15 petunias in total.\nThe petunias cost $3.00 apiece, so 15 petunias will cost 15 x $3.00 = $45.00.\nKatherine also wants to add 2 sweet potato vines to each basket, so she needs 2 x 5 = 10 sweet potato vines in total.\nThe sweet potato vines cost $2.50 apiece, so 10 sweet potato vines will cost 10 x $2.50 = $25.00.\nIn total, Katherine will spend $45.00 + $25.00 = $70.00 filling all 5 hanging baskets.\n#### 70\nThe answer is: 70", "answer": {"result": 70}}, "matches": true} +{"solution": {"solution": "To solve this problem, we'll calculate the total amount of soil used for each type of flower and then subtract that from the total soil available to find out how much soil is left for roses. \n\nFirst, let's calculate the soil needed for the sunflowers:\n- Each sunflower needs 3 pounds of soil, and there are 4 sunflowers. \n- So, the total soil needed for sunflowers is $3 \\times 4 = 12$ pounds.\n\nNext, we'll calculate the soil needed for the carnations:\n- Each carnation needs 1.5 pounds of soil, and there are 10 carnations. \n- So, the total soil needed for carnations is $1.5 \\times 10 = 15$ pounds.\n\nNow, we add the soil needed for sunflowers and carnations to find the total soil used for these two types of flowers:\n- Total soil used for sunflowers and carnations is $12 + 15 = 27$ pounds.\n\nSubtracting the soil used for sunflowers and carnations from the total soil available gives us the soil left for roses:\n- Soil left for roses is $30 - 27 = 3$ pounds.\n\nSince each rose needs 1 pound of soil, the number of roses that can be planted with the remaining soil is:\n- Number of roses = Soil left for roses = $3$ pounds.\n\nTherefore, they can plant $\\boxed{3}$ roses with the remaining soil.", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "Jessica sets aside 25% of her $2,000.00 paycheck, which is $2,000.00 x 0.25 = $500.00 per month. \n\nIn a year, she sets aside $500.00 x 12 months = $6,000.00. \n\nEach pair of shoes costs $1,000.00, so she can buy $6,000.00 / $1,000.00 = 6 pairs of shoes in a year. \n\n#### 6\nThe answer is: 6", "answer": {"result": 6}}, "matches": true} +{"solution": {"solution": "First, let's determine how many minutes Emily spends peeling the shrimp. Since she can peel 6 shrimp per minute, it will take her 90 / 6 = 15 minutes to peel all 90 shrimp.\n\nNext, let's determine how many minutes Emily spends cooking the shrimp. Since she can saute 30 shrimp in 10 minutes, it will take her 90 / 30 = 3 sets of 10 minutes to cook all 90 shrimp. Each set takes 10 minutes, so she will spend 3 * 10 = 30 minutes cooking the shrimp.\n\nFinally, let's add the time it takes to peel and cook the shrimp. Emily will spend 15 minutes peeling and 30 minutes cooking, so it will take her a total of 15 + 30 = 45 minutes to peel and cook 90 shrimp.\n\nThe answer is 45 minutes.\n\n#### 45\nThe answer is: 45", "answer": {"result": 45}}, "matches": true} +{"solution": {"solution": "First, calculate the total cooling effect from the air conditioner during the periods when it was turned on:\n- Low setting for 3 hours: $2 \\, \\text{degrees/hour} \\times 3 \\, \\text{hours} = 6 \\, \\text{degrees}$\n- High setting for 4 hours: $3 \\, \\text{degrees/hour} \\times 4 \\, \\text{hours} = 12 \\, \\text{degrees}$\n\nSum of these cooling effects:\n\\[ 6 \\, \\text{degrees} + 12 \\, \\text{degrees} = 18 \\, \\text{degrees} \\]\n\nNext, account for the room heating while the air conditioner was off for 2 hours:\n\\[ 2 \\, \\text{degrees/hour} \\times 2 \\, \\text{hours} = 4 \\, \\text{degrees} \\]\n\nSubtract the total heating from the total cooling to find the net cooling:\n\\[ 18 \\, \\text{degrees} - 4 \\, \\text{degrees} = 14 \\, \\text{degrees} \\]\n\nThus, the final temperature in the room is $\\boxed{14}$ degrees lower than the starting temperature.", "answer": {"result": 14}}, "matches": true} +{"solution": {"solution": "Bill's dad saw the Comet when he was 30 years old, and the Comet orbits every 75 years.\n\nSo, the Comet's last appearance before Bill's dad saw it was 75 years before that, which is 75 - 30 = 45 years ago.\n\nBill saw the Comet when he was three times the age his father was when he first saw it.\n\nSo, Bill was 3 * 30 = 90 years old when he saw the Comet for the second time.\n\nTo find out how old Bill was when he saw the Comet for the first time, we need to subtract the number of years between the two sightings.\n\nThe time between the two sightings is the orbital period of the Comet, which is 75 years.\n\nSo, Bill was 90 - 75 = 15 years old when he saw the Comet for the first time.\n\n#### 15\nThe answer is: 15", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "Buford writes 1 check per month for the electric bill.\nHe also writes 1 check per month for the gas bill.\nHe writes 2 checks twice per month for the church, so that's 2 * 2 = 4 checks per month.\nHe writes 1 check quarterly for the pest and lawn service, so that's 1 * 4 = 4 checks per year.\nTherefore, Buford writes 1 + 1 + 4 + 4 = 10 checks per month.\nAnd since there are 12 months in a year, Buford writes 10 * 12 = 120 checks per year.\n#### 120\nThe answer is: 120", "answer": {"result": 120}}, "matches": false} +{"solution": {"solution": "\n1. Let \\( x \\) denote the number of flights the first aircraft makes each day.\n2. According to the problem, the first aircraft spends three-quarters of its flights to Greece. Therefore, the number of flights to Greece is \\( \\frac{3}{4}x \\).\n3. The remaining flights are equally distributed between France and Germany. Hence, the number of flights to France and Germany is each \\( \\frac{1}{4}x \\).\n4. The second aircraft makes 44 trips per day, which is half the total flights of the first aircraft:\n \\[\n 44 = \\frac{1}{2}x\n \\]\n5. To find \\( x \\), solve the above equation:\n \\[\n x = 88\n \\]\n Thus, the first aircraft makes 88 flights per day.\n6. The number of flights to France is \\( \\frac{1}{4}x \\):\n \\[\n \\frac{1}{4} \\times 88 = 22\n \\]\n\n### Conclusion:\n\nThe first aircraft makes 22 flights to France each day.\n\n\\[\n\\boxed{22}\n\\]", "answer": {"result": 22}}, "matches": false} +{"solution": {"solution": "Tobias howls for a total of 20 seconds.\nChikote howls for twice as long as Tobias, so Chikote howls for 2 * 20 = 40 seconds.\nIgneous howls for as long as the other two wolves combined, so Igneous howls for 20 + 40 = 60 seconds.\nThe combined length of time for the three wolves' howls is 20 + 40 + 60 = 120 seconds.\nTo convert seconds to minutes, we divide by 60, so the combined length of time is 120 / 60 = 2 minutes.\n#### 2\nThe answer is: 2", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "\n1. First, we need to determine how much money Adam's father gave him. According to the problem, Adam's father gave him twice as much as Adam's mother. Adam's mother gave him $6.\n\n\\[\n\\text{Amount given by Adam's father} = 2 \\times \\text{Amount given by Adam's mother}\n\\]\n\n\\[\n\\text{Amount given by Adam's father} = 2 \\times 6 = 12 \\text{ dollars}\n\\]\n\n2. Next, we need to add the amount given by Adam's mother and father to find the total amount of money Adam received from his parents.\n\n\\[\n\\text{Total amount from parents} = \\text{Amount from mother} + \\text{Amount from father}\n\\]\n\n\\[\n\\text{Total amount from parents} = 6 + 12 = 18 \\text{ dollars}\n\\]\n\n3. The trousers cost Adam $30. To find out how much Adam had to contribute from his savings, we subtract the total amount received from his parents from the total cost of the trousers.\n\n\\[\n\\text{Amount Adam had to pay from his savings} = \\text{Total cost of trousers} - \\text{Total amount from parents}\n\\]\n\n\\[\n\\text{Amount Adam had to pay from his savings} = 30 - 18 = 12 \\text{ dollars}\n\\]\n\n### Conclusion:\n\n\\[\n\\boxed{12}\n\\]", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "1. First, we calculate the average age of the group by dividing the total age of the four children by 4. Given that the total age is 20, we have:\n \\[\n \\text{Average age} = \\frac{20}{4} = 5 \\text{ years}\n \\]\n\n2. According to the problem, Helene is twice as old as the average age of the group. Therefore, Helene's age is:\n \\[\n \\text{Helene's age} = 2 \\times 5 = 10 \\text{ years}\n \\]\n\n3. We are given the ages of Akbar and Alessandro. Akbar is 3 years old and Alessandro is 4 years old. To find Wilfred's age, we sum the known ages and subtract from the total age:\n \\[\n \\text{Known ages sum} = 3 + 4 + 10 = 17 \\text{ years}\n \\]\n\n4. Subtract the known ages sum from the total age to find Wilfred's age:\n \\[\n \\text{Wilfred's age} = 20 - 17 = 3 \\text{ years}\n \\]\n\n5. Thus, Wilfred is 3 years old.\n\n### Conclusion:\n\\[\n\\boxed{3}\n\\]", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "Walter collects $500 from his neighbors and $1500 from the online fund, so he has a total of $500 + $1500 = $2000.\n\nWalter's friend gives him an additional $200, so now Walter has $2000 + $200 = $2200 in total donations.\n\nWalter's lawyer offers to donate three times as much as everyone else donates. To find out how much the lawyer will contribute, we multiply the total donations by three: $2200 * 3 = $6600.\n\nTherefore, Walter's lawyer is going to contribute $\\boxed{\\$6600}$ .", "answer": {"result": 6600}}, "matches": true} +{"solution": {"solution": "1. Calculate the total number of cookies brought by all guests:\n - There were 100 guests, each bringing 15 cookies.\n - Total cookies = Number of guests \u00d7 Cookies per guest = $100 \\times 15 = 1500$ cookies.\n\n2. Determine the number of cookies given to the church:\n - The bride gave half of the cookies to the church.\n - Cookies given to the church = $\\frac{1}{2} \\times 1500 = 750$ cookies.\n\n3. Calculate the number of people in the church:\n - Each person in the church received 15 cookies.\n - Number of people in the church = Cookies given to the church \u00f7 Cookies per person = $750 \\div 15 = 50$ people.\n\nConclusion:\n- The number of people in the church next door is $\\boxed{50}$.", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "\n1. **Define Variables**:\n Let \\( x \\) represent the volume of each child's piece of watermelon.\n According to the problem, each adult gets a piece twice as large as each child's piece. Therefore, each adult's piece will be \\( 2x \\).\n\n2. **Total Volume of Watermelon**:\n Let \\( W \\) be the total volume of the watermelon.\n\n3. **Total Volume of Children's Pieces**:\n There are 4 children, so the total volume of their pieces is:\n \\[\n 4x\n \\]\n\n4. **Total Volume of Adults' Pieces**:\n There are 2 adults, and each adult gets a piece twice as large as a child's piece:\n \\[\n 2 \\times 2x = 4x\n \\]\n\n5. **Total Volume Calculation**:\n The total volume of the watermelon, \\( W \\), is the sum of the volumes of the children's pieces and the adults' pieces:\n \\[\n W = 4x + 4x = 8x\n \\]\n\n6. **Volume for Each Adult**:\n Each adult gets a piece that is:\n \\[\n \\frac{4x}{2} = 2x\n \\]\n\n7. **Percentage Calculation for Each Adult**:\n To find the percentage of the watermelon that each adult gets, we calculate the ratio of the volume of one adult's piece to the total volume of the watermelon and then convert it to a percentage:\n \\[\n \\text{Percentage} = \\left( \\frac{2x}{8x} \\right) \\times 100\\% = \\left( \\frac{1}{4} \\right) \\times 100\\% = 25\\%\n \\]\n\n### Conclusion:\n\\[\n\\boxed{25\\%}\n\\]", "answer": {"result": 25}}, "matches": true} +{"solution": {"solution": "Doctor Jones spends 9 hours at the clinic.\nHe has 10 appointments that each take 30 minutes, so he spends 10 * 30 = 300 minutes on appointments.\nThere are 60 minutes in an hour, so 300 minutes is equal to 300 / 60 = 5 hours.\nHe also spends 20 minutes per inpatient for rounds, so he spends 9 inpatients * 20 minutes/inpatient = 180 minutes on rounds.\n180 minutes is equal to 180 / 60 = 3 hours.\nTherefore, Doctor Jones spends a total of 5 hours + 3 hours = 8 hours on appointments and rounds.\nHe has 9 hours in total, so he will have 9 hours - 8 hours = 1 hour left to update his records.\n#### 1\nThe answer is: 1", "answer": {"result": 1}}, "matches": true} +{"solution": {"solution": "To determine the latest time Jordan can start making the cake, we need to calculate the total time required for each step and then add them up to find out when she needs to start.\n\n1. Making the cake batter: 20 minutes\n2. Baking the cake: 30 minutes\n3. Cooling the cake: 2 hours (120 minutes)\n4. Frosting the cake: 10 minutes\n\nNow, let's add up these times:\n\n20 (batter) + 30 (baking) + 120 (cooling) + 10 (frosting) = 180 minutes in total.\n\nTo convert the total time into hours, we divide by 60 (since there are 60 minutes in an hour):\n\n180 minutes \u00f7 60 = 3 hours.\n\nJordan needs 3 hours to complete the cake from start to finish. If she plans to serve the cake at 5:00 pm, we need to subtract the total time from 5:00 pm to find the latest start time.\n\n5:00 pm - 3 hours = 2:00 pm.\n\nTherefore, the latest time Jordan can start making the cake is 2:00 pm to ensure it's ready to serve at 5:00 pm.\n\nFinal Answer:\n\n$\\boxed{2:00 pm}$ is the latest time Jordan can start making the cake.", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "First, let's find out how many chocolate bars Lisa and Peter sold in total. Lisa sold 3 and a half boxes, and Peter sold 4 and a half boxes. To find the total number of boxes they sold together, we add these two amounts:\n\n3.5 + 4.5 = 8 boxes\n\nNow, we know that they sold a total of 64 chocolate bars. To find the number of chocolate bars in each box, we divide the total number of chocolate bars by the total number of boxes:\n\n64 chocolate bars \u00f7 8 boxes = 8 chocolate bars per box\n\nSo, there are $\\boxed{8}$ chocolate bars in a box.", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "\n\nFirst, let's calculate the daily earnings of the dance studio:\n\n- The cost of renting the studio per session is $25.\n- The cost per student per session is $1.50.\n- There are 10 students.\n\nTotal daily earnings = (Cost per session) x (Number of sessions per day) + (Cost per student per session) x (Number of students) x (Number of sessions per day)\n\nSince the studio is rented 3 days a week, the total number of sessions per week is:\n\nTotal sessions per week = 3 days/week x Number of sessions per day\n\nAssuming the number of sessions per day is not specified, let's assume it's 1 session per day. This assumption is based on the information provided, which does not specify the number of sessions per day.\n\nTotal sessions per week = 3 x 1 = 3 sessions per week\n\nTotal sessions per month = 3 sessions/week x 4 weeks/month = 12 sessions per month\n\nTotal daily earnings = $25 + ($1.50 x 10 x 1) = $25 + $15 = $40\n\nTotal earnings per week = $40/session x 3 sessions/week = $120\n\nTotal earnings per month = $120/week x 4 weeks/month = $480\n\nThe expected earnings of the dance studio in a month are $480.\n\n$480", "answer": {"result": 480}}, "matches": true} +{"solution": {"solution": "Let's denote the number of chocolate bars in each of Peter's boxes as \\( x \\). Since Peter has 4 boxes, the total number of chocolate bars he has is \\( 4x \\). We know that \\( 4x = 64 \\), so we can solve for \\( x \\):\n\n\\( x = \\frac{64}{4} \\)\n\n\\( x = 16 \\)\n\nNow, let's denote the number of chocolate bars in each of Martha's boxes as \\( y \\). Since Martha has 7 boxes, the total number of chocolate bars she has is \\( 7y \\). We know that \\( 7y = 56 \\), so we can solve for \\( y \\):\n\n\\( y = \\frac{56}{7} \\)\n\n\\( y = 8 \\)\n\nNow, to find out how many more chocolate bars Peter has in each box than Martha, we subtract the number of chocolate bars in each of Martha's boxes from the number of chocolate bars in each of Peter's boxes:\n\n\\( x - y \\)\n\n\\( 16 - 8 \\)\n\n\\( 8 \\)\n\nPeter has $\\boxed{8}$ more chocolate bars in each box than Martha.", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "\nIf the number of female porcupines is 3/5 of the total population, then there are 3/5 * 50 = 30 female porcupines.\n\nEach female porcupine gives birth to 4 babies every month, so in a year, each female porcupine will give birth to 4 * 12 = 48 babies.\n\nTherefore, the total number of babies born in a year is 30 * 48 = 1440.\n\nAdding the number of babies born to the current population, the total number of porcupines in the park after a year will be 50 + 1440 = 1490.\n\n#### 1490\nThe answer is: 1490", "answer": {"result": 1490}}, "matches": true} +{"solution": {"solution": "\nTo find the volume of the pool, I need to multiply the length, width, and depth. That gives me 14 * 25 * 4 = 1400 cubic feet.\n\nNext, I need to convert cubic feet to gallons by multiplying by 5.9. So, I have 1400 * 5.9 = 8260 gallons.\n\nFinally, I need to find the cost of filling the pool by multiplying the number of gallons by the cost per gallon. That gives me 8260 * 0.10 = $826.\n\nTherefore, the cost to fill the pool will be $826.\n\nAnswer:\n\n$826\n\n
SolutionThe volume of the pool is $1400$ cubic feet (14 * 25 * 4). To convert this to gallons, we multiply by 5.9 to get 8260 gallons (1400 * 5.9). The cost to fill the pool is $0.10 per gallon, so the total cost is $826 (8260 * 0.10).
", "answer": {"result": 826}}, "matches": true} +{"solution": {"solution": "To find the total number of sticks, we need to calculate the number of sticks of each color and then sum them up.\n\n1. **Calculate the number of blue sticks:**\n Since there are 5 more blue sticks than red sticks, and there are 9 red sticks, the number of blue sticks is:\n \\[\n 9 + 5 = 14 \\text{ blue sticks}\n \\]\n\n2. **Calculate the number of yellow sticks:**\n Given that there are 3 fewer yellow sticks than blue sticks, the number of yellow sticks is:\n \\[\n 14 - 3 = 11 \\text{ yellow sticks}\n \\]\n\n3. **Calculate the total number of sticks:**\n Now, sum the number of sticks of each color to find the total:\n \\[\n 9 \\text{ (red)} + 14 \\text{ (blue)} + 11 \\text{ (yellow)} = 34 \\text{ sticks}\n \\]\n\nThus, the total number of sticks they are playing with is:\n\\[\n\\boxed{34}\n\\]", "answer": {"result": 34}}, "matches": true} +{"solution": {"solution": "Matteo traveled at 55 miles per hour for 4 hours, so he traveled 55 * 4 = 220 miles.\n\nShandy traveled at 45 miles per hour for 10 hours, so she traveled 45 * 10 = 450 miles.\n\nTo find out how many miles farther Shandy drove than Matteo, we subtract Matteo's distance from Shandy's distance: 450 - 220 = 230 miles.\n\nShandy drove $\\boxed{230}$ miles farther than Matteo.The answer is: 230", "answer": {"result": 230}}, "matches": true} +{"solution": {"solution": "1. Calculate the number of students over 16 years old:\n \\[\n \\frac{3000}{2} = 1500 \\text{ students}\n \\]\n\n2. Determine the number of male students over 16:\n \\[\n \\frac{1500}{4} = 375 \\text{ students}\n \\]\n\n3. Calculate the number of female students over 16:\n \\[\n 1500 - 375 = 1125 \\text{ students}\n \\]\n\n4. Calculate the number of students under 16 years old:\n \\[\n \\frac{3000}{2} = 1500 \\text{ students}\n \\]\n\n5. Determine the number of male students under 16:\n \\[\n \\frac{1500}{2} = 750 \\text{ students}\n \\]\n\n6. Calculate the number of female students under 16:\n \\[\n 1500 - 750 = 750 \\text{ students}\n \\]\n\n7. Add the total number of female students over 16 and under 16:\n \\[\n 1125 + 750 = 1875 \\text{ students}\n \\]\n\n8. Conclusion:\n \\[\n \\boxed{1875}\n \\]\n\nConclusion:\nIn Brook Hills High School, there are 1875 female students in total.", "answer": {"result": 1875}}, "matches": true} +{"solution": {"solution": "Bethany can run 10 laps in one hour.\n\nTrey can run 4 more laps than Bethany, so Trey can run 10 + 4 = 14 laps in one hour.\n\nShaelyn can run half as many laps as Trey, so Shaelyn can run 14 / 2 = 7 laps in one hour.\n\nQuinn can run 2 fewer laps than Shaelyn, so Quinn can run 7 - 2 = 5 laps in one hour.\n\nTo find out how many more laps Bethany can run compared to Quinn, we subtract Quinn's laps from Bethany's laps: 10 - 5 = 5 laps.\n\nBethany can run 5 more laps than Quinn.\n\n#### 5\nThe answer is: 5", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "\nOn the first day, Wanda pumped 1/4 of the tank's capacity, which is 1/4 * 18000 = 4500 gallons.\nMs. B pumped 3/4 as much water as Wanda, so she pumped 3/4 * 4500 = 3375 gallons.\nTogether, they pumped 4500 + 3375 = 7875 gallons on the first day.\nOn the second day, Wanda pumped 2/3 of the amount she pumped on the first day, so she pumped 2/3 * 4500 = 3000 gallons.\nMs. B pumped 1/3 of the amount she pumped on the first day, so she pumped 1/3 * 3375 = 1125 gallons.\nTogether, they pumped 3000 + 1125 = 4125 gallons on the second day.\nIn total, they pumped 7875 + 4125 = 12000 gallons over the two days.\nTo find out how many gallons are remaining for the tank to be full, we subtract the total amount pumped from the tank's capacity: 18000 - 12000 = 6000 gallons.\nTherefore, there are 6000 gallons remaining for the tank to be full.\n#### 6000\nThe answer is: 6000", "answer": {"result": 6000}}, "matches": true} +{"solution": {"solution": "Let's denote the initial charge of the power bank when Maria left for the park as \\( C \\) (in percent).\n\nFor the first 5 hours, the power bank was losing 9% of its capacity each hour. So, after 5 hours, the charge remaining would be:\n\\[ C - 5 \\times 9\\% \\]\n\nFor the next 3 hours, the power bank was losing 7% of its capacity each hour. So, after these 3 hours, the charge remaining would be:\n\\[ (C - 5 \\times 9\\%) - 3 \\times 7\\% \\]\n\nAt the end, the charge remaining is 28%. So we can set up the following equation:\n\\[ (C - 5 \\times 9\\%) - 3 \\times 7\\% = 28\\% \\]\n\nFirst, convert the percentages to decimals for easier calculation:\n\\[ 9\\% = 0.09 \\]\n\\[ 7\\% = 0.07 \\]\n\nNow, let's solve for \\( C \\):\n\\[ (C - 5 \\times 0.09) - 3 \\times 0.07 = 0.28 \\]\n\\[ C - 0.45 - 0.21 = 0.28 \\]\n\\[ C - 0.66 = 0.28 \\]\n\\[ C = 0.28 + 0.66 \\]\n\\[ C = 0.94 \\]\n\nSo, the initial charge of the power bank when Maria left for the park was $\\boxed{94\\%}$ .", "answer": {"result": 94}}, "matches": true} +{"solution": {"solution": "To calculate the number of weeks Janet needs to work to save up for a $10,000 car down payment, we follow these steps:\n\n1. **Calculate total earnings per week:** Janet earns $10 per hour from wages and $15 per hour from tips. Therefore, her total earnings per hour are:\n \\[\n 10 + 15 = \\$25 \\text{ per hour}\n \\]\n\n2. **Calculate weekly earnings:** Since Janet works 40 hours a week, her weekly earnings are:\n \\[\n 25 \\times 40 = \\$1000 \\text{ per week}\n \\]\n\n3. **Determine the down payment amount:** Janet wants to save 20% of the cost of a $10,000 car for the down payment. Thus, the down payment amount is:\n \\[\n 0.20 \\times 10000 = \\$2000\n \\]\n\n4. **Calculate the number of weeks needed:** To find out how many weeks Janet needs to work to save the down payment, we divide the total down payment amount by her weekly earnings:\n \\[\n 2000 \\div 1000 = 2 \\text{ weeks}\n \\]\n\nTherefore, Janet will need to work for $\\boxed{2}$ weeks to save the down payment for the car.", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "Jamaar has already spent 3 peaches * $0.5 = $1.5 on peaches.\nHe has also spent 4 pears * $0.5 = $2 on pears.\nHe has spent 2 kiwis * $1 = $2 on kiwis.\nAnd he has spent 5 apples * $0.75 = $3.75 on apples.\nIn total, he has spent $1.5 + $2 + $2 + $3.75 = $9.25 so far.\nHe has $10 - $9.25 = $0.75 left to spend.\nSince plums cost $0.25 each, Jamaar can buy $0.75 / $0.25 = 3 plums.\n#### 3\nThe answer is: 3", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "\nAnne kept 2 packs for herself, so she gave away 15 - 2 = 13 packs to her friends.\n\nEach pack contains 60 pieces, so 13 packs contain 13 * 60 = 780 pieces.\n\nAnne has 10 friends, so each friend received 780 / 10 = 78 pieces.\n\nTherefore, each of Anne's friends received 78 pieces of sweets.\n\n#### 78\nThe answer is: 78", "answer": {"result": 78}}, "matches": true} +{"solution": {"solution": "\nTo calculate the price of carrots after three years, we will apply a 5% increase to the original price each year. \n\n1. Calculate the increase after the first year:\n \\[\n \\text{Increase after first year} = 120 \\times 0.05 = 6\n \\]\n\n2. Add this increase to the original price to find the price after the first year:\n \\[\n \\text{Price after first year} = 120 + 6 = 126\n \\]\n\n3. Calculate the increase after the second year on the new price:\n \\[\n \\text{Increase after second year} = 126 \\times 0.05 = 6.3\n \\]\n\n4. Add this increase to the price after the first year to find the price after the second year:\n \\[\n \\text{Price after second year} = 126 + 6.3 = 132.3\n \\]\n\n5. Calculate the increase after the third year on the new price:\n \\[\n \\text{Increase after third year} = 132.3 \\times 0.05 = 6.615\n \\]\n\n6. Add this increase to the price after the second year to find the price after the third year:\n \\[\n \\text{Price after third year} = 132.3 + 6.615 \\approx 139\n \\]\n\n7. Round the price after the third year to the nearest integer:\n \\[\n \\text{Final price after rounding} = 139\n \\]\n\nThus, the final price of carrots after three years, rounded to the nearest integer, is:\n\n\\[\n\\boxed{139}\n\\]", "answer": {"result": 139}}, "matches": false} +{"solution": {"solution": "\nOlivia put the same number of pictures into 8 albums, so she had 72/8 = 9 pictures in each album.\n\nOut of the 8 albums, 3 were selfies only and 2 were portraits.\n\nSince there were 9 pictures in each album, Olivia had 3 * 9 = 27 selfies.\n\nShe also had 2 * 9 = 18 portraits.\n\nTherefore, Olivia had a total of 27 selfies + 18 portraits = 45 selfies and portraits.\n\n#### 45\nThe answer is: 45", "answer": {"result": 45}}, "matches": true} +{"solution": {"solution": "James reads 3 pages in 10 minutes, so to find out how long it takes him to read 1 page, we divide 10 minutes by 3 pages:\n10 minutes / 3 pages = 3.33 minutes per page.\n\nNow, to find out how long it takes him to read 18 pages, we multiply the time it takes to read 1 page by 18:\n3.33 minutes per page * 18 pages = 60 minutes.\n\nSo, James spends $\\boxed{60}$ minutes reading.The answer is: 60", "answer": {"result": 60}}, "matches": true} +{"solution": {"solution": "The hotel started with 100 guests. \n24 guests checked out early, so the hotel now has 100 - 24 = 76 guests. \n15 guests checked out late, so the hotel now has 76 - 15 = 61 guests. \nIn the afternoon, twice as many people checked in as those who checked out late, so 2 * 15 = 30 people checked in. \nNow the hotel has 61 + 30 = 91 guests. \nAfter dinner, 7 more people checked in, so the hotel now has 91 + 7 = 98 guests. \n#### 98\nThe answer is: 98", "answer": {"result": 98}}, "matches": true} +{"solution": {"solution": "John picks 4 bananas on Wednesday and 6 bananas on Thursday, so he has a total of 4 + 6 = 10 bananas. \n\nOn Friday, he picks triple the number of bananas he did on Wednesday, which is 3 * 4 = 12 bananas. \n\nAdding the bananas he picked on Friday to the total he already had, John now has 10 + 12 = 22 bananas. \n\nTherefore, John has a total of 22 bananas. \n\n#### 22\nThe answer is: 22", "answer": {"result": 22}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the number of easy questions**:\n Given that 40% of the 60 questions are easy, we calculate the number of easy questions as follows:\n \\[\n \\frac{40}{100} \\times 60 = 24 \\text{ easy questions}\n \\]\n\n2. **Calculate the number of average and difficult questions**:\n The remaining 60 questions are split equally between average and difficult questions. Therefore, the number of average questions is the same as the number of difficult questions:\n \\[\n \\frac{60 - 24}{2} = 18 \\text{ average questions and 18 difficult questions}\n \\]\n\n3. **Determine the number of questions Aries is sure to get correct**:\n For the easy questions:\n \\[\n 75\\% \\text{ of 24 easy questions} = 0.75 \\times 24 = 18 \\text{ sure correct easy questions}\n \\]\n\n For the average questions:\n \\[\n 50\\% \\text{ of 18 average questions} = 0.50 \\times 18 = 9 \\text{ sure correct average questions}\n \\]\n\n For the difficult questions:\n \\[\n 50\\% \\text{ of 18 difficult questions} = 0.50 \\times 18 = 9 \\text{ sure correct difficult questions}\n \\]\n\n4. **Sum the sure correct answers**:\n Adding all the sure correct answers together:\n \\[\n 18 \\text{ (easy) + 9 (average) + 9 (difficult)} = 36 \\text{ sure correct answers}\n \\]\n\n### Conclusion:\nAries is sure to get 36 points.\n\n\\[\n\\boxed{36}\n\\]", "answer": {"result": 36}}, "matches": true} +{"solution": {"solution": "Let's denote the number of large stuffed animals sold as L and the number of small stuffed animals sold as S. \n\nAccording to the information given, Teresa sells large stuffed animals for three times the price of small stuffed animals. We know that each small stuffed animal costs $4, so each large stuffed animal costs 3 * $4 = $12.\n\nWe are also told that Teresa sold twice as many small stuffed animals as large ones. So, we can write S = 2L.\n\nThe total earnings from the sales were $120, and this amount is the sum of the earnings from selling small and large stuffed animals. We can express this as:\n\n4S + 12L = 120\n\nSince S = 2L, we can substitute 2L for S in the equation:\n\n4(2L) + 12L = 120\n8L + 12L = 120\n20L = 120\n\nNow, we can solve for L:\n\nL = 120 / 20\nL = 6\n\nTeresa sold 6 large stuffed animals. Since she sold twice as many small stuffed animals as large ones, we can find the number of small stuffed animals sold:\n\nS = 2L\nS = 2 * 6\nS = 12\n\nTeresa sold $\\boxed{12}$ small stuffed animals.", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "To find out how many sandwiches the family eats in one week, we need to calculate the total number of sandwiches eaten by each family member in a week and then sum them up.\n\n1. Calculate the number of sandwiches eaten by the man in one week:\n - The man eats 5 sandwiches per day.\n - There are 7 days in a week.\n \\[\n \\text{Man's sandwiches per week} = 5 \\times 7 = 35\n \\]\n\n2. Calculate the number of sandwiches eaten by the wife in one week:\n - The wife eats 4 sandwiches per day.\n - There are 7 days in a week.\n \\[\n \\text{Wife's sandwiches per week} = 4 \\times 7 = 28\n \\]\n\n3. Calculate the number of sandwiches eaten by their son in one week:\n - The son eats 2 sandwiches per day.\n - There are 7 days in a week.\n \\[\n \\text{Son's sandwiches per week} = 2 \\times 7 = 14\n \\]\n\n4. Sum the sandwiches eaten by all family members to find the total:\n \\[\n \\text{Total sandwiches per week} = 35 + 28 + 14 = 77\n \\]\n\nConclusion:\n\\[\n\\boxed{77}\n\\]", "answer": {"result": 77}}, "matches": true} +{"solution": {"solution": "Suzanne earned $1 x 80 = $80 from selling cookies.\nShe earned $4 x 60 = $240 from selling cupcakes.\nShe gave her two sisters a total of $10 x 2 = $20.\nTherefore, Suzanne has $80 + $240 - $20 = $300 left from her earnings.\n#### 300\nThe answer is: 300", "answer": {"result": 300}}, "matches": true} +{"solution": {"solution": "The Smith twins found a total of 30 eggs each, so together they found 30 + 30 = 60 eggs. \n\nThere were 100 eggs in total, and the Smith twins found 60 of them. So, the number of eggs left to be found by the friends is 100 - 60 = 40 eggs. \n\nHowever, we are told that 10 eggs were not found by the friends. These 10 eggs were either lost, hidden in places that were not marked, or intentionally left unfound for some reason. \n\nTherefore, the friends found 40 - 10 = $\\boxed{30}$ eggs.", "answer": {"result": 30}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the mining rates with each tool:**\n - A dwarf with bare hands can mine 12 pounds of ore per day.\n - With an iron pickaxe, a dwarf can mine twice as much ore per day:\n \\[\n 12 \\text{ pounds} \\times 2 = 24 \\text{ pounds}\n \\]\n - With a steel pickaxe, a dwarf can mine 50% more than with an iron pickaxe. First, calculate 50% of the iron pickaxe rate:\n \\[\n 50\\% \\text{ of } 24 \\text{ pounds} = 0.5 \\times 24 = 12 \\text{ pounds}\n \\]\n - Add this extra amount to the iron pickaxe rate to get the steel pickaxe rate:\n \\[\n 24 \\text{ pounds} + 12 \\text{ pounds} = 36 \\text{ pounds}\n \\]\n\n2. **Calculate the total ore mined by 40 dwarves with steel pickaxes per day:**\n - Each dwarf with a steel pickaxe mines 36 pounds of ore per day.\n - Therefore, 40 dwarves would mine:\n \\[\n 40 \\times 36 \\text{ pounds} = 1440 \\text{ pounds}\n \\]\n\n3. **Calculate the total ore mined by 40 dwarves with steel pickaxes in a month:**\n - There are 30 days in a month.\n - Therefore, the total ore mined by 40 dwarves in a month is:\n \\[\n 1440 \\text{ pounds/day} \\times 30 \\text{ days} = 43200 \\text{ pounds}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{43200}\n\\]", "answer": {"result": 43200}}, "matches": true} +{"solution": {"solution": "\n1. **Identify the given ratios and the relationship between the prices and quantities:**\n\n The given data is:\n - 2 sandwiches for $3,\n - 4 sandwiches for $6,\n - 8 sandwiches, price unknown.\n\n We know that prices are proportional to the quantities of sandwiches.\n\n2. **Express the prices as ratios of their quantities:**\n\n For the 2 sandwich package:\n \\[\n \\text{Price per sandwich} = \\frac{3}{2}\n \\]\n\n For the 4 sandwich package:\n \\[\n \\text{Price per sandwich} = \\frac{6}{4} = \\frac{3}{2}\n \\]\n\n Both ratios are equal, confirming that the prices per sandwich are indeed proportional to the quantity.\n\n3. **Set up the proportion for the 8 sandwich package:**\n\n If \\( x \\) is the price of the 8 sandwich package, then:\n \\[\n \\frac{x}{8} = \\frac{3}{2}\n \\]\n\n4. **Solve for \\( x \\):**\n\n To find \\( x \\), cross-multiply the proportion:\n \\[\n 2x = 8 \\times 3\n \\]\n\n Simplify the right-hand side:\n \\[\n 2x = 24\n \\]\n\n Divide both sides by 2:\n \\[\n x = \\frac{24}{2} = 12\n \\]\n\n5. **Conclusion:**\n\n The price of the 8 sandwich package is:\n \\[\n \\boxed{12}\n \\]", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "Tom buys a bedroom set for $3000 and sells his old bedroom for $1000. \nHe uses the $1000 to pay for part of the bedroom set, so he still needs to pay $3000 - $1000 = $2000. \nHe has to pay 10% a month for the bedroom set, so he needs to pay $2000 * 0.10 = $200 per month. \n#### 200\nThe answer is: 200", "answer": {"result": 200}}, "matches": true} +{"solution": {"solution": "Sally started with 25 red balloons, 7 green balloons, and 12 yellow balloons. \n\nFor the red balloons, 40% of them burst due to the wind. \n40% of 25 red balloons = 0.40 * 25 = 10 balloons burst. \nSo, she was left with 25 - 10 = 15 red balloons.\n\nFor the yellow balloons, half of them were accidentally released.\nHalf of 12 yellow balloons = 0.50 * 12 = 6 balloons released.\nSo, she was left with 12 - 6 = 6 yellow balloons.\n\nShe then found 8 blue balloons in a tree.\nShe added 75% of these blue balloons to her remaining clutch.\n75% of 8 blue balloons = 0.75 * 8 = 6 blue balloons added.\n\nNow, let's add up all the balloons she carried into the school:\n15 red balloons + 7 green balloons + 6 yellow balloons + 6 blue balloons = 34 balloons.\n\nSally finally carried $\\boxed{34}$ balloons into the school.", "answer": {"result": 34}}, "matches": true} +{"solution": {"solution": "\nTo find the probability that Marcus will have to turn in his homework, we need to find the probability of the complementary event, which is that he won't have to turn in his homework.\n\nThere are three scenarios in which Marcus won't have to turn in his homework:\n1. The substitute teacher comes in and doesn't collect the homework (50% chance).\n2. The normal teacher comes in and gives everyone an extension (40% chance, but this scenario doesn't exclude the possibility of Marcus getting a personal extension).\n3. Marcus convinces the teacher his dog ate his assignment and gets a personal extension (20% chance).\n\nSince these scenarios are mutually exclusive (Marcus can't have both a class extension and a personal extension), we can add their probabilities to find the total probability of Marcus not having to turn in his homework:\n\n50% (substitute teacher) + 40% (class extension) + 20% (personal extension) = 110%\n\nHowever, since the probabilities cannot exceed 100%, we realize that the class extension and personal extension scenarios are not mutually exclusive, as they can both occur in the case where the normal teacher comes in. \n\nTo correct this, we need to subtract the overlap. The overlap occurs when the normal teacher comes in and gives an extension (40% chance), as this scenario already includes the possibility of Marcus getting a personal extension (20% chance within that 40% scenario). The overlap is 20%, so we subtract it from the total:\n\n110% - 20% = 90%\n\nNow, we have the total probability of Marcus not having to turn in his homework as 90%. To find the probability of him having to turn in his homework, we subtract this from 100%:\n\n100% - 90% = 10%\n\nTherefore, there is a $\\boxed{10\\%}$ chance that Marcus will actually have to turn in his homework tomorrow.\n\nAnswer: 10", "answer": {"result": 10}}, "matches": false} +{"solution": {"solution": "To find out how many tickets each graduate would receive, we first need to determine the remaining seats available for guests after accounting for the graduates and faculty. \n\n1. Calculate the total number of seats already allocated:\n - Seats for graduates: $950$\n - Seats for faculty: $300$\n - Total allocated seats: $950 + 300 = 1250$\n\n2. Subtract the allocated seats from the total capacity to find the remaining seats for guests:\n - Total capacity of the Fine Arts Center: $6000$\n - Remaining seats for guests: $6000 - 1250 = 4750$\n\n3. Divide the remaining seats by the number of graduates to find out how many tickets each graduate can distribute:\n - Number of graduates: $950$\n - Tickets per graduate: $4750 \\div 950 = 5$\n\nTherefore, each graduate would receive $\\boxed{5}$ tickets to give to their friends and family.", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "To solve this problem, we follow the given information step by step:\n\n1. First, we calculate the number of medium-sized jelly beans Grandpa can eat. Since he can eat twice as many medium-sized beans as large beans, and he can eat 75 large beans, we have:\n \\[\n 2 \\times 75 = 150 \\text{ medium-sized beans}\n \\]\n\n2. Next, we need to find out how many small beans are equivalent to 1 medium-sized bean. Given that 3 small beans equal 1 medium-sized bean, we can express this as:\n \\[\n \\frac{1 \\text{ medium-sized bean}}{3 \\text{ small beans}} = 1\n \\]\n\n3. Now, to find out how many small beans are equivalent to 150 medium-sized beans, we multiply the number of medium-sized beans by the conversion factor from small beans to medium-sized beans:\n \\[\n 150 \\text{ medium-sized beans} \\times \\frac{3 \\text{ small beans}}{1 \\text{ medium-sized bean}} = 450 \\text{ small beans}\n \\]\n\nTherefore, Grandpa can eat $\\boxed{450}$ small jelly beans.", "answer": {"result": 450}}, "matches": true} +{"solution": {"solution": "Melissa spends 6 hours a day for 3 days, so she spends a total of 6 hours/day x 3 days = 18 hours on jury duty. \n\nShe is paid $15 per day for 3 days, so her total earnings are $15/day x 3 days = $45. \n\nShe also has to pay $3 for parking each day for 3 days, so her total expenses are $3/day x 3 days = $9. \n\nHer total expenses for the 18 hours of jury duty are $9. \n\nTo find out how much jury pay she makes per hour after expenses, we divide her total earnings by the total number of hours she spent on jury duty: $45 / 18 hours = $2.50 per hour. \n\nHowever, we also need to subtract her parking expenses from her earnings to find out her net earnings per hour: $45 - $9 = $36. \n\nNow, we divide her net earnings by the total number of hours she spent on jury duty: $36 / 18 hours = $2 per hour. \n\nTherefore, Melissa makes $2 per hour after expenses for jury duty. \n\n#### 2\nThe answer is: 2", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "Ted spends 3 books * $16 per book = $48 on books.\nTed spends 3 pencils * $6 per pencil = $18 on pencils.\nTed spends $48 + $18 = $66 in total.\n#### 66\nThe answer is: 66", "answer": {"result": 66}}, "matches": true} +{"solution": {"solution": "First, we need to determine how many bottles of soda Richard will place along the driveway.\n\nSince the driveway is 24 feet wide and Richard wants to put a bottle of soda every 3 feet, we can calculate the number of bottles by dividing the length of the driveway by the distance between bottles:\n\nNumber of bottles = 24 feet / 3 feet per bottle = 8 bottles\n\nNow that we know there are 8 bottles, we can calculate the total time it will take Richard to walk from the first bottle to the last, visiting each one and dropping the candy:\n\nTime per bottle = 5 seconds\nTotal time = 8 bottles * 5 seconds per bottle = 40 seconds\n\nTherefore, it will take Richard a total of $\\boxed{40}$ seconds to set off all the soda fountains.The answer is: 40", "answer": {"result": 40}}, "matches": false} +{"solution": {"solution": "Uncle Franky ordered two boxes of apples, so he has a total of 2 x 40 = 80 apples.\nHe plans to pack the apples with eight apples in one pack, so he can make 80 / 8 = 10 packs of apples.\n#### 10\nThe answer is: 10", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "The total cost of 2 pounds of Parmesan cheese is 2 x $11 = $22.\nThe total cost of 3 pounds of mozzarella cheese is 3 x $6 = $18.\nThe total cost of all the cheese is $22 + $18 = $40.\nIf Amor starts with $50, she will have $50 - $40 = $10 left to buy meat.\n#### 10\nThe answer is: 10", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "Jim gets $50,000 in loans per year for 4 years, so the total amount of loans is:\n\n$50,000/year * 4 years = $200,000\n\nBefore college, Jim had a 25k a year job. After graduation, his college degree tripled his income, so his new income is:\n\n25k/year * 3 = 75k/year\n\nWhile in college, Jim didn't earn any income from his job, so he lost out on 4 years of income at 25k/year:\n\n25k/year * 4 years = $100,000\n\nNow, we need to calculate how long it would take Jim to earn the total amount of money needed to pay off the loans and cover the income lost during college. The total amount needed is the sum of the loans and the lost income:\n\n$200,000 (loans) + $100,000 (lost income) = $300,000\n\nAt his new post-college income of $75,000 per year, we divide the total amount needed by his new annual income to find out how many years it would take:\n\n$300,000 / $75,000/year = 4 years\n\nSo, it would take Jim $\\boxed{4}$ years to earn the money equivalent to the loans and the money lost from not working while in school.", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "1. **Calculate the dimensions of the required fabric:**\n - The bed dimensions are 6 feet by 8 feet.\n - Each piece of fabric needs to be 2 feet longer and 2 feet wider.\n - Therefore, the length of the fabric piece is \\(6 + 2 = 8\\) feet.\n - The width of the fabric piece is \\(8 + 2 = 10\\) feet.\n\n2. **Calculate the area of one fabric piece:**\n - The area of the rectangular fabric piece is calculated by multiplying the length by the width:\n \\[\n \\text{Area of one piece} = 8 \\text{ ft} \\times 10 \\text{ ft} = 80 \\text{ square feet}\n \\]\n\n3. **Calculate the total area needed for two pieces:**\n - Jim needs two pieces of fabric, so we multiply the area of one piece by 2:\n \\[\n \\text{Total area} = 2 \\times 80 \\text{ square feet} = 160 \\text{ square feet}\n \\]\n\n4. **Conclusion:**\n - The total area of fabric Jim needs to buy is:\n\\[\n\\boxed{160}\n\\]", "answer": {"result": 160}}, "matches": true} +{"solution": {"solution": "On Monday, the post office delivered 425 letters. \n\nOn Tuesday, they delivered 17 more than one-fifth as many as Monday. One-fifth of 425 is 425/5 = 85. So, they delivered 85 + 17 = 102 letters on Tuesday.\n\nOn Wednesday, they delivered 5 more than twice as many as they delivered on Tuesday. Twice as many as Tuesday's delivery is 2 * 102 = 204. So, they delivered 204 + 5 = 209 letters on Wednesday.\n\nTo find the total number of letters delivered Monday - Wednesday, we add the deliveries for each day: 425 (Monday) + 102 (Tuesday) + 209 (Wednesday) = $\\boxed{736}$ letters in total.", "answer": {"result": 736}}, "matches": true} +{"solution": {"solution": "To find the total amount Molly will pay for the catering, we need to calculate the cost for each salad separately and then add them together.\n\nFor the chicken salad:\n10 people want the chicken salad, and it costs $6.50 per person.\nSo, the total cost for the chicken salad is 10 * $6.50 = $65.\n\nFor the pasta salad:\n6 people want the pasta salad, and it costs $6 per person.\nSo, the total cost for the pasta salad is 6 * $6 = $36.\n\nNow, we add the costs of both salads to get the total amount Molly will pay:\nTotal cost = cost of chicken salad + cost of pasta salad\nTotal cost = $65 + $36\nTotal cost = $101\n\nMolly will pay a total of $\\boxed{\\$101}$ for the catering.", "answer": {"result": 101}}, "matches": true} +{"solution": {"solution": "To find the average loss, we need to calculate the total loss and then divide it by the number of races.\n\n1. First race: Johnny's dad lost $5.\n\n2. Second race: He won $1 more than twice the amount he previously lost. So, he lost $5, and twice that amount is 2 * $5 = $10. Winning $1 more than that, he won $10 + $1 = $11.\n\n3. Third race: He lost 1.5 times as much as he won in the second race. So, he lost 1.5 * $11 = $16.50.\n\nNow, let's calculate the total loss:\n\nTotal loss = Loss in first race + Winnings in second race + Loss in third race\nTotal loss = $5 + $11 - $5 + $16.50\nTotal loss = $11 + $16.50\nTotal loss = $27.50\n\nSince there were 3 races, we'll find the average loss by dividing the total loss by the number of races:\n\nAverage loss = Total loss / Number of races\nAverage loss = $27.50 / 3\nAverage loss = $9.17 (rounded to the nearest cent)\n\nJohnny's dad lost an average of $\\boxed{\\$9.17}$ per race.", "answer": {"result": 9.17}}, "matches": false} +{"solution": {"solution": "If there are 26 countries in South America and each country has 5 cities, then there are a total of 26 x 5 = 130 cities in South America. \n\nIf each of these cities has 1000 people living in them, then the total population of South America can be calculated by multiplying the number of cities by the number of people in each city. \n\nTotal population = Number of cities x Number of people per city\nTotal population = 130 x 1000\nTotal population = 130,000\n\nTherefore, there are $\\boxed{130,000}$ people living in the cities of South America.\n\nThe answer is: 130,000", "answer": {"result": 130000}}, "matches": true} +{"solution": {"solution": "Xavier grew 3 inches over the summer, so his new height is 4 feet + 3 inches = 4.25 feet.\nCole grew 2 inches over the summer, so his new height is 50 inches + 2 inches = 52 inches.\nTo find the difference in height, we subtract Cole's height from Xavier's height: 4.25 feet - 52 inches.\nSince there are 12 inches in a foot, we need to convert Cole's height to feet: 52 inches / 12 inches/foot = 4.3333 feet.\nNow we can subtract the heights: 4.25 feet - 4.3333 feet = -0.0833 feet.\nThe negative sign indicates that Cole is shorter than Xavier.\nTo find the actual difference, we take the absolute value of the result: |-0.0833| = 0.0833 feet.\nSo, the difference between Cole and Xavier's height is 0.0833 feet.\n#### 0.0833\nThe answer is: 0.0833", "answer": {"result": 0.0833}}, "matches": false} +{"solution": {"solution": "Let's denote the amount taken by the first person as $x$.\n\nAccording to the problem, the second person took $80 more than the first person. Therefore, the second person took $x + 80$.\n\nThe third person took twice what the second person took, which is $2(x + 80)$.\n\nThe total amount is $1920$, and it is the sum of the amounts taken by all three persons:\n\n\\[\nx + (x + 80) + 2(x + 80) = 1920\n\\]\n\nLet's solve for $x$:\n\n1. Combine like terms:\n\n\\[\nx + x + 80 + 2x + 160 = 1920\n\\]\n\n2. Simplify the equation:\n\n\\[\n4x + 240 = 1920\n\\]\n\n3. Isolate $4x$:\n\n\\[\n4x = 1920 - 240\n\\]\n\n\\[\n4x = 1680\n\\]\n\n4. Solve for $x$:\n\n\\[\nx = \\frac{1680}{4}\n\\]\n\n\\[\nx = 420\n\\]\n\nThus, the first person's share is $420$.\n\n### Conclusion:\n\n\\[\n\\boxed{420}\n\\]", "answer": {"result": 420}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total number of days the painters worked. Since they worked for 3 weeks and assuming each week has 7 days, we have:\n\n3 weeks * 7 days/week = 21 days\n\nNext, we need to find out what 3/8ths of a day is in hours. Assuming a standard workday is 8 hours, we can calculate the number of hours worked by each painter per day:\n\n3/8 * 8 hours/day = 3 hours/day\n\nNow, we can calculate the total number of hours worked by all painters over the 3 weeks:\n\n21 days * 3 hours/day = 63 hours\n\nSince there are 4 painters, we need to divide the total hours by the number of painters to find out how many hours each painter worked:\n\n63 hours / 4 painters = 15.75 hours/painter\n\nTherefore, each painter put in approximately $\\boxed{15.75}$ hours of work.", "answer": {"result": 15.75}}, "matches": false} +{"solution": {"solution": "Let the number of tennis balls Rory retrieved in the second set be $x$. \nThen, in the first set, he retrieved $x + 4$ balls. \nIn the third set, he retrieved $\\frac{x}{2}$ balls. \nThe total number of tennis balls retrieved is $x + (x + 4) + \\frac{x}{2} = 19$. \nCombining like terms, we get $\\frac{7x}{2} + 4 = 19$. \nSubtracting 4 from both sides, we get $\\frac{7x}{2} = 15$. \nMultiplying both sides by $\\frac{2}{7}$, we get $x = 4.2857$. \nSince the number of tennis balls retrieved must be a whole number, we round $x$ to the nearest whole number, which is 4. \nTherefore, Rory retrieved $x + 4 = 4 + 4 = \\boxed{8}$ tennis balls in the first set.The answer is: 8", "answer": {"result": 8}}, "matches": false} +{"solution": {"solution": "\n1. **Determine the annual depreciation rate:**\n The car's price depreciates at a rate of 21% annually.\n\n2. **Calculate the depreciation factor per year:**\n Since the depreciation is 21%, the factor by which the price reduces each year is \\(1 - 0.21 = 0.79\\). This factor represents the fraction of the car's value retained each year after depreciation.\n\n3. **Apply the depreciation factor over 3 years (from 2007 to 2010):**\n To find the price of the car in 2010, we need to multiply the initial price by the depreciation factor raised to the power of 3 (since there are 3 years between 2007 and 2010).\n\n \\[\n \\text{Price in 2010} = 20000 \\times (0.79)^3\n \\]\n\n4. **Calculate the exponent:**\n Compute \\(0.79^3\\):\n\n \\[\n 0.79^3 = 0.79 \\times 0.79 \\times 0.79\n \\]\n\n Performing the multiplication:\n\n \\[\n 0.79 \\times 0.79 = 0.6241\n \\]\n\n \\[\n 0.6241 \\times 0.79 = 0.491759\n \\]\n\n5. **Multiply the initial price by the depreciation factor:**\n Now, multiply the initial price by the calculated depreciation factor:\n\n \\[\n 20000 \\times 0.491759 = 9835.18\n \\]\n\n6. **Round the result:**\n Round to the nearest whole number, which gives:\n\n \\[\n 9835 \\text{ dollars}\n \\]\n\n### Conclusion:\n\nThe price of the car in the year 2010 is:\n\n\\[\n\\boxed{9835 \\text{ dollars}}\n\\]", "answer": {"result": 9835}}, "matches": false} +{"solution": {"solution": "\n1. **Identify the total number of books**:\n There are 50 books in the library.\n\n2. **Determine the number of English books**:\n Half of the books are written in English. Therefore,\n \\[\n \\text{Number of English books} = \\frac{50}{2} = 25\n \\]\n\n3. **Determine the number of German books**:\n 10% of the books are written in German. Therefore,\n \\[\n \\text{Number of German books} = \\frac{50 \\times 10}{100} = 5\n \\]\n\n4. **Calculate the number of Spanish books**:\n The remaining books must be written in Spanish. So,\n \\[\n \\text{Number of Spanish books} = 50 - (\\text{Number of English books} + \\text{Number of German books})\n \\]\n Substituting the known values:\n \\[\n \\text{Number of Spanish books} = 50 - (25 + 5) = 50 - 30 = 20\n \\]\n\n### Conclusion:\nThere are 20 Spanish books in the library.\n\n\\[\n\\boxed{20}\n\\]", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "Bernice drove 325 kilometers for 4 days, so she drove a total of 325 * 4 = 1300 kilometers.\nThe total distance from San Diego to New York City is 1955 kilometers.\nTo find out how many kilometers she still needs to drive, we subtract the distance she has already driven from the total distance.\nSo, 1955 - 1300 = 655 kilometers.\nBernice still needs to drive 655 kilometers.\n#### 655\nThe answer is: 655", "answer": {"result": 655}}, "matches": true} +{"solution": {"solution": "\nIngrid drinks 8 cups of water every day, so in 30 days, she drinks a total of 8 x 30 = 240 cups of water. \nSince there are 16 cups in a gallon, Ingrid drinks 240 / 16 = 15 gallons of water in 30 days. \n#### 15\nThe answer is: 15", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "\nAt the first stop, 20 more people board the train, so the total number of people on the train becomes 120 + 20 = 140.\n\nAt the second stop, 50 people descend from the train, so the total number of people on the train decreases to 140 - 50 = 90.\n\nHowever, twice that number (50 * 2 = 100) of people board the train at the second stop, so the total number of people on the train increases to 90 + 100 = 190.\n\nAt the third stop, 80 more people descend from the train, so the total number of people on the train decreases to 190 - 80 = 110.\n\nTherefore, the total number of people on the train at the final stop is 110.\n\nAnswer:\n\nThe total number of people on the train at the final stop is 110.\n\nThe final answer is:\n\n110", "answer": {"result": 110}}, "matches": true} +{"solution": {"solution": "Alison bought a tank top for $10.\n\nThe running shorts cost $5 more than the tank top, so they cost $10 + $5 = $15.\n\nThe tennis shoes were originally $48, but they were on sale for half price, so she paid $48 / 2 = $24.\n\nThe package of athletic socks was $8, but she had a $2 coupon, so she paid $8 - $2 = $6.\n\nTo find the total amount she spent, we add up the cost of each item:\n\nTank top: $10\nRunning shorts: $15\nTennis shoes: $24\nAthletic socks: $6\n\nTotal spent: $10 + $15 + $24 + $6 = $55\n\nAlison spent $\\boxed{\\$55}$ on athletic gear.", "answer": {"result": 55}}, "matches": true} +{"solution": {"solution": "First, let's determine how many tiles are needed to cover the floor. Since each tile has a side length of 1ft, the area of each tile is 1ft * 1ft = 1 SqFt. \n\nNext, divide the total area of the floor by the area of one tile to find the number of tiles needed:\n\n200 SqFt / 1 SqFt per tile = 200 tiles\n\nNow that we know the number of tiles required, we can calculate the total cost by multiplying the number of tiles by the cost per tile:\n\n200 tiles * $12 per tile = $2400\n\nSo, it will cost $2400 to renovate the kitchen floor with new square floor tiles.\n\nThe final answer is $2400.", "answer": {"result": 2400}}, "matches": true} +{"solution": {"solution": "To calculate the total amount James pays for insurance in a year, we follow these steps:\n\n1. Calculate the increase in cost due to the accident, which is 60% of the normal cost. The normal cost is $120, so the increase is:\n\\[60\\% \\times \\$120 = 0.60 \\times \\$120 = \\$72.\\]\n\n2. Add this increase to the normal cost to find the total cost per month after the accident:\n\\[\\$120 + \\$72 = \\$192.\\]\n\n3. To find the annual cost, multiply the monthly cost by the number of months in a year (12):\n\\[\\$192 \\times 12 = \\$2304.\\]\n\nTherefore, the total amount James pays for insurance in a year is $\\boxed{\\$2304}$.", "answer": {"result": 2304}}, "matches": true} +{"solution": {"solution": "Greg puts clean sheets on 4 twin beds and 1 king size bed every week.\nHis laundry machine can wash 2 twin sets of sheets at a time and 1 king set of sheets at a time.\n\nTo calculate the number of loads of laundry he does in a year, we first need to determine how many loads he does in a week.\n\nFor the twin beds, he has 4 beds. Since his machine can only wash 2 twin sets at a time, he will need to do the following:\n4 twin beds / 2 twin sets per load = 2 loads for the twin beds\n\nFor the king bed, he has 1 bed. Since his machine can only wash 1 king set at a time, he will need to do:\n1 king bed / 1 king set per load = 1 load for the king bed\n\nSo, in a week, Greg does a total of:\n2 loads for twin beds + 1 load for king bed = 3 loads per week\n\nNow, to find out how many loads he does in a year, we multiply the weekly loads by the number of weeks in a year:\n3 loads per week * 52 weeks per year = 156 loads per year\n\nTherefore, Greg does $\\boxed{156}$ loads of laundry in a year.", "answer": {"result": 156}}, "matches": true} +{"solution": {"solution": "Jill and her friends watch 4 movies every Saturday, so in 4 weeks, they can watch 4 movies/Saturday x 4 Saturdays = 16 movies on Saturdays.\n\nOn Sunday, they watch half the number of movies as on Saturday, so in 4 weeks, they can watch 4 movies/Saturday \u00f7 2 = 2 movies/Sunday.\n\nIn 4 weeks, there are 4 Sundays, so they can watch 2 movies/Sunday x 4 Sundays = 8 movies on Sundays.\n\nIn total, in 4 weeks, they can watch 16 movies on Saturdays + 8 movies on Sundays = 24 movies.\n\n#### 24\nThe answer is: 24", "answer": {"result": 24}}, "matches": true} +{"solution": {"solution": "To find out how many stickers Leo has in his collection, we need to calculate the number of stickers he collected this year and then add it to the stickers he had in the previous two years.\n\nTwo years ago, Leo had 100 stickers.\n\nLast year, Leo collected 50 stickers.\n\nThis year, Leo collected twice the number of stickers as last year, which is 2 * 50 = 100 stickers.\n\nNow, let's add up all the stickers from the three years:\n\n100 (two years ago) + 50 (last year) + 100 (this year) = 250 stickers\n\nLeo has $\\boxed{250}$ stickers in his collection.", "answer": {"result": 250}}, "matches": true} +{"solution": {"solution": "Imma feeds her cats twice a day, so she uses 60 grams x 2 = 120 grams of cat food per day.\n\nIf she has 720 grams of cat food, then it will last 720 grams / 120 grams per day = $\\boxed{6}$ days.", "answer": {"result": 6}}, "matches": false} +{"solution": {"solution": "\nIf Becky ate 10 slices and that's 3 more than Jake, then Jake ate 10 - 3 = 7 slices.\n\nSilvia ate twice as many slices as Jake, so she ate 7 * 2 = 14 slices.\n\nIn total, they ate 10 (Becky) + 7 (Jake) + 14 (Silvia) = 31 slices.\n\nSince there were 4 pizzas and each pizza had 8 slices, there were 4 * 8 = 32 slices in total.\n\nSo, they ate 31 of the 32 slices.\n\nThe answer is: 31", "answer": {"result": 31}}, "matches": true} +{"solution": {"solution": "1. Let \\( D \\) be the time it took Donovan to make his part of the meal, in minutes.\n2. According to the problem, Betsy's part took \\( D + 18 \\) minutes.\n3. The total time to make the meal is given as 98 minutes. Therefore, the equation representing this situation is:\n \\[\n D + (D + 18) = 98\n \\]\n4. Combine like terms:\n \\[\n 2D + 18 = 98\n \\]\n5. Isolate \\( 2D \\) by subtracting 18 from both sides:\n \\[\n 2D = 98 - 18\n \\]\n \\[\n 2D = 80\n \\]\n6. Solve for \\( D \\) by dividing both sides by 2:\n \\[\n D = \\frac{80}{2}\n \\]\n \\[\n D = 40\n \\]\n7. Betsy's part took \\( D + 18 \\) minutes:\n \\[\n Betsy's \\, part = 40 + 18\n \\]\n \\[\n Betsy's \\, part = 58\n \\]\n\nConclusion:\n\\[\n\\boxed{58}\n\\]", "answer": {"result": 58}}, "matches": true} +{"solution": {"solution": "First, let's calculate the cost of the doctor's visit. The visit is $300/hour and Hannah's visit lasts 30 minutes, which is half an hour. So, the cost for the visit is:\n\n30 minutes / 60 minutes per hour * $300/hour = $150\n\nNext, let's calculate the cost of the parking. She needs to park for a minimum of 2 hours, so the cost for parking is:\n\n2 hours * $6/hour = $12\n\nNow, let's calculate the cost of the painkillers. Hannah needs 30 painkillers at $4 each, so the cost for the painkillers is:\n\n30 pills * $4/pill = $120\n\nFinally, let's add up all the costs to find the total cost of the doctor's visit:\n\nCost of cast: $200\nCost of visit: $150\nCost of parking: $12\nCost of painkillers: $120\n\nTotal cost = $200 + $150 + $12 + $120 = $482\n\nThe doctor's visit costs a total of $\\boxed{\\$482}$ .", "answer": {"result": 482}}, "matches": true} +{"solution": {"solution": "20% of 80 emails is 0.20 x 80 = 16 emails that don't require a response.\nSo, James responds to 80 - 16 = 64 emails each day.\nIn a 5 day work week, James responds to 64 x 5 = 320 emails.\n#### 320\nThe answer is: 320", "answer": {"result": 320}}, "matches": true} +{"solution": {"solution": "To find the total number of classes that visited the Science Center last week, we need to calculate the number of classes for each day and then sum them up.\n\nOn Monday, 32 classes visited.\n\nOn Tuesday, twice as many classes visited as on Monday, so:\n\\[2 \\times 32 = 64\\] classes visited on Tuesday.\n\nOn Wednesday, three times as many classes visited as on Monday, so:\n\\[3 \\times 32 = 96\\] classes visited on Wednesday.\n\nOn Thursday, 30 classes visited.\n\nOn Friday, 25 classes visited.\n\nTo find the total, we add the number of classes for each day:\n\\[32 + 64 + 96 + 30 + 25 = 247\\]\n\nTherefore, the total number of classes that visited the Science Center last week is $\\boxed{247}$.", "answer": {"result": 247}}, "matches": true} +{"solution": {"solution": "To find the average score, we need to add up all the scores and then divide by the number of tests.\nJohn scored 100 on his first 3 tests, so the total score for those tests is 100 + 100 + 100 = 300.\nHe also scored an 80 on his 4th test.\nSo the total score across all 4 tests is 300 + 80 = 380.\nTo find the average score, we divide the total score by the number of tests, which is 380 / 4 = 95.\nTherefore, John's average score across the 4 tests is 95.\n#### 95\nThe answer is: 95", "answer": {"result": 95}}, "matches": true} +{"solution": {"solution": "The glee club ordered 20 pizzas and ate 70% of them, so they ate 20 * 0.70 = 14 pizzas.\nThe remaining number of pizzas for the glee club is 20 - 14 = 6 pizzas.\nThe football team ordered twice as many pizzas as the glee club, so they ordered 20 * 2 = 40 pizzas.\nThe football team ate 80% of their pizzas, so they ate 40 * 0.80 = 32 pizzas.\nThe remaining number of pizzas for the football team is 40 - 32 = 8 pizzas.\nIn total, there are 6 + 8 = 14 pizzas left.\n#### 14\nThe answer is: 14", "answer": {"result": 14}}, "matches": true} +{"solution": {"solution": "First, let's determine the number of big coupons Anthony is sending out. Since he wants to send out twice as many big coupons as small coupons, and he's sending out 700 small coupons, the number of big coupons is:\n\n2 * 700 = 1400 big coupons\n\nNow, let's calculate the cost of mailing the small coupons. Each small coupon costs 5 cents to mail, so the total cost for the small coupons is:\n\n700 small coupons * $0.05/coupon = $35\n\nNext, let's calculate the cost of mailing the big coupons. Each big coupon costs 15 cents to mail, so the total cost for the big coupons is:\n\n1400 big coupons * $0.15/coupon = $210\n\nFinally, let's find the total cost for postage by adding the cost of mailing the small and big coupons together:\n\n$35 (small coupons) + $210 (big coupons) = $245\n\nAnthony spends a total of $\\$245$ on postage for the coupons.", "answer": {"result": 245}}, "matches": true} +{"solution": {"solution": "\n\nSidney ordered 3 less than ten meatball sub sandwiches, so he ordered 10 - 3 = 7 meatball sub sandwiches.\n\nEach meatball sub sandwich contains 4 meatballs, so Sidney initially ordered 7 * 4 = 28 meatballs.\n\nMark ate 4 of Sidney's meatball sub sandwiches, which is 4 * 4 = 16 meatballs.\n\nAfter Mark ate his sub sandwiches, there were 28 - 16 = 12 meatballs left on the remaining sub sandwiches.\n\nSidney then ordered another three sub sandwiches, which adds 3 * 4 = 12 more meatballs.\n\nThe total number of meatballs on the remaining sub sandwiches is 12 + 12 = 24 meatballs.\n\n#### 24\nThe answer is: 24", "answer": {"result": 24}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's break it down into detailed steps:\n\n1. **Calculate the number of trucks that had mechanical failures:**\n - Mr. Hezekiah initially dispatched 20 trucks.\n - The problem states that a quarter of these trucks had mechanical failures.\n - To find the number of trucks with failures, we calculate $\\frac{1}{4} \\times 20 = 5$ trucks.\n\n2. **Determine the number of trucks that successfully delivered:**\n - We know the total number of trucks is 20, and 5 had failures.\n - The number of trucks that delivered successfully is therefore $20 - 5 = 15$.\n\n3. **Calculate the total tons of fertilizer delivered:**\n - Each successful truck was carrying 20 tons of fertilizer.\n - The total tons delivered by 15 trucks is $15 \\times 20 = 300$.\n\nTherefore, the total number of tons of fertilizer that reached the farmers that day is $\\boxed{300}$.", "answer": {"result": 300}}, "matches": true} +{"solution": {"solution": "Dennis needs to make 6 dozen croissants, and he uses 1 pound of butter for every dozen croissants.\nSo, he needs 6 dozen x 1 pound = 6 pounds of butter.\nThe grocery store has a promotion where he can buy one pound of butter and get one half off.\nSince he needs to buy 6 pounds of butter, he will get 6/2 = 3 pounds at half off.\nThe cost of 3 pounds of butter at half off is 3 x ($4.00/2) = $6.00\nThe cost of the other 3 pounds of butter at full price is 3 x $4.00 = $12.00\nIn total, Dennis will spend $6.00 + $12.00 = $18.00 to purchase 6 pounds of butter.\n#### 18\nThe answer is: 18", "answer": {"result": 18}}, "matches": true} +{"solution": {"solution": "The initial fee to rent the theater is $125 for a party of 20.\n\nKayla invited a total of:\n25 classmates + 7 dance class girls + 13 family members = 45 people.\n\nHowever, 4 people said they could not come, so the number of people attending the party is:\n45 - 4 = 41 people.\n\nThe additional cost for the guests beyond the initial 20 is $6 per person.\n\nSo, the cost for the additional guests is:\n41 - 20 = 21 additional guests.\n\nThe cost for the additional guests is:\n21 guests * $6/guest = $126.\n\nAdding the initial fee to the cost for the additional guests, the total cost for the party is:\n$125 (initial fee) + $126 (additional guests) = $\\boxed{\\$251}$ .", "answer": {"result": 251}}, "matches": true} +{"solution": {"solution": "Maggie spent 1/4 of her $60, which is $60 * 1/4 = $15.\nRiza spent 1/3 of her $60, which is $60 * 1/3 = $20.\nSo, Maggie has $60 - $15 = $45 left.\nAnd Riza has $60 - $20 = $40 left.\nTogether, they have $45 + $40 = $85 left.\n#### 85\nThe answer is: 85", "answer": {"result": 85}}, "matches": true} +{"solution": {"solution": "To solve the problem, let's break down the information and calculations step by step:\n\n1. **Calculate the total number of bananas the first two monkeys eat each day**:\n - The first monkey eats 10 bananas a day.\n - The second monkey eats 4 more bananas than the first monkey, which means the second monkey eats $10 + 4 = 14$ bananas a day.\n - Therefore, together, the first two monkeys eat $10 + 14 = 24$ bananas a day.\n\n2. **Determine the number of bananas the third monkey eats each day**:\n - Since Mr. Robles buys 315 bananas for a week and this is enough for all three monkeys, we need to find out how many bananas the third monkey eats each day.\n - First, calculate the total number of bananas eaten by the first two monkeys in a week: $24 \\times 7 = 168$ bananas.\n - Subtract this from the total number of bananas to find out how many are left for the third monkey: $315 - 168 = 147$ bananas.\n - Since there are 7 days in a week, we divide the remaining bananas by 7 to find out how many the third monkey eats each day: $147 / 7 = 21$ bananas.\n\nTherefore, the third monkey eats $\\boxed{21}$ bananas each day.", "answer": {"result": 21}}, "matches": true} +{"solution": {"solution": "Teddy finished half of a 500 piece puzzle, which means he placed 500/2 = 250 puzzle pieces.\n\nAfter that, he started and finished another 500 piece puzzle.\n\nSo, in total, Teddy placed 250 + 500 = $\\boxed{750}$ puzzle pieces during that hour.", "answer": {"result": 750}}, "matches": true} +{"solution": {"solution": "Jenny bought 15 roses, and each rose costs $2, so she spent 15 * $2 = $30 on roses.\n\nShe also bought a dozen roses, which cost $15.\n\nSo in total, she spent $30 (for the individual roses) + $15 (for the dozen roses) = $45.\n\nJenny arrived with five $5 bills, which is 5 * $5 = $25.\n\nTo find out how much change she should receive, we subtract the total amount spent from the amount she arrived with: $45 (total spent) - $25 (amount she arrived with) = $20.\n\nSince the florist only has quarters for change, we need to convert the $20 into quarters. There are $2 in a quarter, so to find out how many quarters make up $20, we divide $20 by $0.25 (the value of a quarter): $20 / $0.25 = 80 quarters.\n\nJenny will leave with $\\boxed{80}$ quarters.", "answer": {"result": 80}}, "matches": false} +{"solution": {"solution": "To calculate Terry's total earnings, we break down the sales by each item category and then sum them up.\n\n1. **Milkshakes Sales Calculation:**\n - Terry sells 6 milkshakes.\n - Each milkshake is sold for $5.50.\n - Total from milkshakes = $6 \\times 5.50 = \\$33$.\n\n2. **Burger Platters Sales Calculation:**\n - Terry sells 9 burger platters.\n - Each burger platter is sold for $11.\n - Total from burger platters = $9 \\times 11 = \\$99$.\n\n3. **Sodas Sales Calculation:**\n - Terry sells 20 sodas.\n - Each soda is sold for $1.50.\n - Total from sodas = $20 \\times 1.50 = \\$30$.\n\n4. **Total Earnings:**\n - To find Terry's total earnings, we add the earnings from each category:\n - Total earnings = Total from milkshakes + Total from burger platters + Total from sodas\n - Total earnings = \\$33 + \\$99 + \\$30 = \\$162.\n\nThus, Terry makes a total of $\\boxed{162}$ dollars.", "answer": {"result": 162}}, "matches": true} +{"solution": {"solution": "Let's break down the schedule of the trains step by step:\n\n1. The first train arrives in 10 minutes and stays for 20 minutes.\n2. The second train arrives half an hour (30 minutes) after the first train leaves. Since the first train stays for 20 minutes, the first train leaves after 20 minutes of its arrival. So, the second train's arrival time is 10 minutes (first train's arrival) + 30 minutes (interval) = 40 minutes after the first train's arrival.\n3. The second train stays in the station for a quarter of the amount of time the first train stayed, which is 20 / 4 = 5 minutes.\n4. The third train arrives an hour (60 minutes) after the second train leaves. Since the second train stays for 5 minutes, the second train leaves after 5 minutes of its arrival. So, the third train's arrival time is 40 minutes (second train's arrival) + 60 minutes (interval) = 100 minutes after the first train's arrival.\n5. The third train leaves immediately after its arrival, so it stays in the station for 0 minutes.\n6. The fourth train arrives 20 minutes after the third train leaves. Since the third train leaves at 100 minutes after the first train's arrival, the fourth train's arrival time is 100 minutes + 20 minutes = 120 minutes after the first train's arrival.\n\nNow, let's calculate how long Paul will wait for the fourth train:\n\n- The first train arrives at 0 minutes.\n- The fourth train arrives at 120 minutes.\n\nPaul arrives at the station at 0 minutes and needs to wait until 120 minutes for the fourth train.\n\nTherefore, Paul will wait for a total of 120 minutes for his train.\n\nThe final answer is $\\boxed{120}$ minutes.", "answer": {"result": 120}}, "matches": false} +{"solution": {"solution": "Melanie has been saving toothpicks for 12 weeks, and she saves 10 toothpicks each week. So, the total number of toothpicks she has collected so far is:\n\n12 weeks * 10 toothpicks/week = 120 toothpicks\n\nMelanie needs a total of 200 toothpicks for her sculpture. She already has 120 toothpicks, so she still needs:\n\n200 toothpicks - 120 toothpicks = 80 toothpicks\n\nMelanie saves 10 toothpicks each week, so to collect the remaining 80 toothpicks, it will take her:\n\n80 toothpicks / 10 toothpicks/week = 8 weeks\n\nTherefore, it will take Melanie $\\boxed{8}$ more weeks to collect the remaining toothpicks for her sculpture.", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the price Mr. Rogers paid for the watch:**\n The original price of the watch is $2000.\n Mr. Rogers bought the watch at 75% of its original price:\n \\[\n \\text{Price paid by Mr. Rogers} = 2000 \\times 75\\% = 2000 \\times \\frac{3}{4} = 1500 \\text{ dollars}\n \\]\n\n2. **Determine the selling price of the watch by Mr. Rogers to his friend:**\n Mr. Rogers sold the watch to his friend at 120% of the price he paid for it:\n \\[\n \\text{Selling price} = 1500 \\times 120\\% = 1500 \\times \\frac{6}{5} = 1800 \\text{ dollars}\n \\]\n\n3. **Calculate the discount given to Mr. Rogers:**\n The discount Mr. Rogers received is the difference between the original price and the price he paid:\n \\[\n \\text{Discount} = 2000 - 1500 = 500 \\text{ dollars}\n \\]\n\n4. **Calculate the percentage discount given to Mr. Rogers:**\n The percentage discount Mr. Rogers received is given by:\n \\[\n \\text{Percentage Discount} = \\left(\\frac{\\text{Discount}}{\\text{Original Price}}\\right) \\times 100\\% = \\left(\\frac{500}{2000}\\right) \\times 100\\% = 25\\%\n \\]\n\n5. **Calculate the price Mr. Rogers' friend paid after Mr. Rogers' discount:**\n Mr. Rogers sold the watch for $1800, which was already after his 25% discount. The original price was $2000, so we need to calculate what fraction of the original price this $1800 represents:\n \\[\n \\text{Friend's effective price} = 1800 \\text{ dollars}\n \\]\n The percentage of the original price that $1800 represents:\n \\[\n \\text{Percentage of Original Price} = \\left(\\frac{1800}{2000}\\right) \\times 100\\% = \\left(\\frac{9}{10}\\right) \\times 100\\% = 90\\%\n \\]\n\n6. **Calculate the discount Mr. Rogers' friend received:**\n The friend received a discount since he paid for 90% of the original price:\n \\[\n \\text{Discount for the friend} = 100\\% - 90\\% = 10\\%\n \\]\n\n7. **Convert the discount percentage to a monetary value:**\n The original price was $2000. Therefore, the discount amount for the friend is:\n \\[\n \\text{Discount Amount} = 2000 \\times 10\\% = 2000 \\times \\frac{1}{10} = 200 \\text{ dollars}\n \\]\n\n8. **Conclusion:**\n The percentage discount the friend received from the original price is:\n \\[\n \\boxed{10\\%}\n \\]", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": ": \n\n1. **Calculate the number of jellyfish produced by one spring in one second:**\n - A single spring creates one jellyfish every second.\n\n2. **Calculate the number of jellyfish produced by one spring in one hour:**\n - There are \\(60 \\times 60 = 3600\\) seconds in one hour.\n - Therefore, one spring produces \\(3600\\) jellyfish in one hour.\n\n3. **Calculate the number of jellyfish produced by one spring in four hours:**\n - Since there are \\(4 \\times 3600 = 14400\\) seconds in four hours.\n - Therefore, one spring produces \\(14400\\) jellyfish in four hours.\n\n4. **Calculate the combined production of five springs in four hours:**\n - If five springs work together, each producing 14400 jellyfish in four hours, the total number of jellyfish produced is:\n \\[\n 5 \\times 14400 = 72000\n \\]\n\n### Conclusion:\n\nThe total number of jellyfish produced by five springs in four hours is:\n\\[\n\\boxed{72000}\n\\]", "answer": {"result": 72000}}, "matches": true} +{"solution": {"solution": "Twice Binkie's score is 2 * 90 = 180.\nFrankie's score is 15 more than twice Binkie's score, so Frankie's score is 180 + 15 = 195.\n\nTherefore, Frankie's score was $\\boxed{195}$ .", "answer": {"result": 195}}, "matches": true} +{"solution": {"solution": "To solve this problem, we follow these steps:\n\n1. Calculate the distance James walked before realizing he forgot something at home. Since his home is 4 miles from the store and he walked halfway there, we have:\n \\[\n \\text{Distance walked before turning back} = \\frac{4 \\text{ miles}}{2} = 2 \\text{ miles}\n \\]\n\n2. Determine the total distance James had to walk to reach the store, including the return trip. Since he walked 2 miles to the halfway point and then walked back the same distance, the total distance is:\n \\[\n \\text{Total distance} = 2 \\text{ miles} + 2 \\text{ miles} = 4 \\text{ miles}\n \\]\n\n3. Calculate the time it took James to walk to the store. Given that he walks at a speed of 4 miles per hour, the time taken is:\n \\[\n \\text{Time taken} = \\frac{\\text{Total distance}}{\\text{Speed}} = \\frac{4 \\text{ miles}}{4 \\text{ miles per hour}} = 1 \\text{ hour}\n \\]\n\nTherefore, it took James $\\boxed{1}$ hour to reach the store after deciding to walk there.", "answer": {"result": 1}}, "matches": false} +{"solution": {"solution": "If Jenny buys 10 bunches, and each bunch contains 4 bananas, then she bought a total of 10 * 4 = 40 bananas.\n\nIf she had bought the bananas individually at $0.80 each, she would have spent 40 * $0.80 = $32.00.\n\nSince she bought the bananas in bunches for $3.00 each, she spent a total of 10 * $3.00 = $30.00.\n\nTo find out how much money she saved, we subtract the amount she spent on bunches from the amount she would have spent on individual bananas: $32.00 - $30.00 = $2.00.\n\nTherefore, Jenny saved $\\boxed{\\$2.00}$ by buying the bananas in bunches instead of individually.The answer is: 2", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "Let's denote the amount of fence Sam gets as $x$ feet. Then, according to the problem, Harry gets $x + 60$ feet. \n\nGiven that the total fence between Sam and Harry is 100 feet, we can set up the following equation:\n\n\\[ x + (x + 60) = 100 \\]\n\nSimplifying this equation:\n\n\\[ 2x + 60 = 100 \\]\n\\[ 2x = 100 - 60 \\]\n\\[ 2x = 40 \\]\n\\[ x = \\frac{40}{2} \\]\n\\[ x = 20 \\]\n\nThis means Sam gets 20 feet of fence. The amount left over after Harry takes his share is:\n\n\\[ 100 - (20 + (20 + 60)) = 100 - (20 + 80) = 100 - 100 = 0 \\]\n\nSo, Sam has no fence left over after the division.\n\nConclusion:\nThe amount of fence left over for Sam is $\\boxed{0}$ feet.", "answer": {"result": 0}}, "matches": false} +{"solution": {"solution": "To solve this problem, I need to find the crocodile's growth rate per year. I can do this by dividing the total growth in 4 years by the number of years. So, the growth rate is 8 inches / 4 years = 2 inches per year. Now that I know the growth rate, I can multiply it by the number of years I'm interested in, which is 13. So, the total growth in 13 years is 2 inches per year * 13 years = 26 inches.", "answer": {"result": 26}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the number of Trekking bikes sold:**\n - The problem states that half of the bikes sold were Trekking bikes.\n - Total bikes sold: 300\n - Trekking bikes sold: \\( \\frac{1}{2} \\times 300 = 150 \\)\n\n2. **Determine the number of BMX bikes sold:**\n - The problem states that 15% of the bikes sold were BMX bikes.\n - Total bikes sold: 300\n - BMX bikes sold: \\( \\frac{15}{100} \\times 300 = 45 \\)\n\n3. **Determine the number of MTB bikes sold:**\n - Bikes sold in total: 300\n - Subtract the number of Trekking and BMX bikes:\n - MTB bikes sold: \\( 300 - 150 - 45 = 105 \\)\n\n4. **Calculate the revenue from MTB bikes:**\n - Each MTB costs $500.\n - Revenue from MTB bikes: \\( 105 \\times 500 = 52,500 \\)\n\n5. **Calculate the revenue from BMX bikes:**\n - Each BMX bike costs half of an MTB bike.\n - Each BMX costs \\( \\frac{1}{2} \\times 500 = 250 \\).\n - Revenue from BMX bikes: \\( 45 \\times 250 = 11,250 \\)\n\n6. **Calculate the revenue from Trekking bikes:**\n - Each Trekking bike costs $450.\n - Revenue from Trekking bikes: \\( 150 \\times 450 = 67,500 \\)\n\n7. **Sum the revenues to find the total earnings:**\n - Total earnings: \\( 52,500 + 11,250 + 67,500 = 131,250 \\)\n\n**Conclusion:**\n- Marcel earned \\( \\boxed{131,250} \\) dollars from selling bicycles in that month.", "answer": {"result": 131250}}, "matches": true} +{"solution": {"solution": "The farmer makes 5 bales per hour and works for 6 hours, so the farmer makes 5 * 6 = 30 bales of hay.\nThe truck picks up 3 bales per hour and works for 6 hours, so the truck picks up 3 * 6 = 18 bales of hay.\nThe total number of bales made by the farmer is 30, and the total number of bales picked up by the truck is 18.\nThe number of bales left in the field is 30 - 18 = 12.\n#### 12\nThe answer is: 12", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "\n\nJohn takes 6 periods in a day, but he has 2 extra classes, so he has 6+2 = 8 classes a day.\n\nEach class is 40 minutes long, so he spends 8 classes x 40 minutes = 320 minutes in classes each day.\n\nHe goes to class for 5 days a week, so he spends 320 minutes x 5 days = 1600 minutes in classes each week.\n\nThere are 60 minutes in an hour, so he spends 1600 minutes / 60 minutes = 26.67 hours in classes each week.\n\nHe then spends 1/16 of his weekly minutes each on Saturday and Sunday as extra learning time.\n\n1/16 of his weekly minutes is (1/16) x 1600 minutes = 100 minutes.\n\nHe spends 100 minutes on Saturday and 100 minutes on Sunday, so he spends a total of 100 minutes + 100 minutes = 200 minutes on Saturday and Sunday.\n\n200 minutes is equal to 200 minutes / 60 minutes = 3.33 hours.\n\nTherefore, John spends 26.67 hours + 3.33 hours = 30 hours a week learning.\n\n#### 30\nThe answer is: 30", "answer": {"result": 30}}, "matches": true} +{"solution": {"solution": "The starting height of the ball is 3 stories * 24 feet/story = 72 feet.\nOn the first bounce, the ball reaches 2/3 * 72 feet = 48 feet.\nOn the second bounce, the ball reaches 2/3 * 48 feet = 32 feet.\n#### 32\nThe answer is: 32", "answer": {"result": 32}}, "matches": true} +{"solution": {"solution": "The first child is 6 feet tall, which is equivalent to 6 * 12 = 72 inches.\n\nThe second child is two inches taller than the first child, so the second child is 72 + 2 = 74 inches tall.\n\nThe third child is 5 inches shorter than the second child, so the third child is 74 - 5 = 69 inches tall.\n\nThe fourth child is three inches taller than the third child, so the fourth child is 69 + 3 = 72 inches tall.\n\nTherefore, the fourth child is $\\boxed{72}$ inches tall.The answer is: 72", "answer": {"result": 72}}, "matches": true} +{"solution": {"solution": "1. First, determine how many bags of apples were sold: \n \\[\n \\text{Number of bags} = \\frac{\\text{Total number of apples}}{\\text{Apples per bag}} = \\frac{2000}{10} = 200.\n \\]\n\n2. Next, calculate the total earnings from selling these bags at $5 per bag:\n \\[\n \\text{Total earnings} = \\text{Number of bags} \\times \\text{Price per bag} = 200 \\times 5 = 1000.\n \\]\n\n3. Conclude with the final answer:\n \\[\n \\boxed{1000}\n \\]\n\nConclusion:\nThe orchard earned $\\boxed{1000}$ dollars from selling 200 bags of apples, each containing 10 apples, priced at $5 per bag.", "answer": {"result": 1000}}, "matches": true} +{"solution": {"solution": "Let's denote the original amount of meat on the triceratops as T kilograms.\n\n1. The T-Rex ate half of the triceratops, so after the T-Rex, there were T/2 kilograms left.\n2. The velociraptors then scavenged half of what was left, so they took (T/2)/2 = T/4 kilograms. After the velociraptors, T/2 - T/4 = T/4 kilograms were left.\n3. Finally, the Allosaurus ate the remaining 270 kilograms. So, T/4 = 270 kilograms.\n4. To find the original amount of meat (T), we solve for T: T = 270 * 4 = 1080 kilograms.\n\nTherefore, the triceratops originally had $\\boxed{1080}$ kilograms of meat before the T-Rex ate.", "answer": {"result": 1080}}, "matches": true} +{"solution": {"solution": "To find out the total area to be painted, we need to calculate the area of each wall and then sum them up. \n\n1. Calculate the area of the north and south walls:\n - Each of these walls is 10 feet by 8 feet.\n - Area = length \u00d7 width = 10 ft \u00d7 8 ft = 80 square feet.\n - Since there are two such walls, the total area for the north and south walls is 2 \u00d7 80 = 160 square feet.\n\n2. Calculate the area of the east and west walls:\n - Each of these walls is 5 feet by 8 feet.\n - Area = length \u00d7 width = 5 ft \u00d7 8 ft = 40 square feet.\n - Since there are two such walls, the total area for the east and west walls is 2 \u00d7 40 = 80 square feet.\n\n3. Sum up the areas of all walls to find the total area to be painted:\n - Total area = area of north and south walls + area of east and west walls\n - Total area = 160 sq ft + 80 sq ft = 240 sq ft.\n\n4. Calculate the total cost of paint:\n - A gallon of paint covers 20 square feet.\n - To cover 240 square feet, we need 240 sq ft / 20 sq ft/gallon = 12 gallons of paint.\n - The cost of one gallon of paint is $12.\n - Therefore, the total cost = 12 gallons \u00d7 $12/gallon = $144.\n\n$\\boxed{144}$", "answer": {"result": 144}}, "matches": true} +{"solution": {"solution": "1. **Identify the total number of sodas and their state**: There are a total of 12 sodas. Out of these, 3 are shaken and 9 are unshaken.\n\n2. **Determine the number of sodas remaining**: Ellen took 1 unshaken soda, so there are now 11 sodas remaining. Her brother then took 1 shaken and 2 unshaken sodas, leaving 10 sodas.\n\n3. **Calculate the remaining shaken sodas**: Ellen's brother took 1 shaken soda, so there are now 2 shaken sodas left.\n\n4. **Determine the probability of Ellen's friend getting a shaken soda**: Ellen's friend now has 10 sodas to choose from, out of which 2 are shaken.\n\n5. **Calculate the probability**: The probability of selecting a shaken soda is given by the number of favorable outcomes divided by the total number of outcomes.\n \\[\n \\text{Probability} = \\frac{\\text{Number of shaken sodas}}{\\text{Total number of sodas remaining}} = \\frac{2}{10}\n \\]\n\n6. **Convert the probability to a percentage**: To express the probability as a percentage, multiply by 100.\n \\[\n \\text{Probability as a percentage} = \\left(\\frac{2}{10}\\right) \\times 100 = 20\\%\n \\]\n\n### Conclusion:\nThe probability that Ellen's friend gets sprayed with soda from a shaken can is $\\boxed{20\\%}$.", "answer": {"result": 20}}, "matches": false} +{"solution": {"solution": "If one train is traveling at 60 miles per hour and the other is traveling half that distance, then the second train is traveling at 60/2 = 30 miles per hour.\n\nIn 3 hours, the first train would have traveled a distance of 60 miles/hour * 3 hours = 180 miles.\n\nSimilarly, the second train would have traveled a distance of 30 miles/hour * 3 hours = 90 miles.\n\nSince the trains are traveling in opposite directions, the total distance between them after 3 hours is the sum of the distances they have each traveled, which is 180 miles + 90 miles = 270 miles.\n\nTherefore, the trains are 270 miles apart after 3 hours.\n\nThe answer is: 270", "answer": {"result": 270}}, "matches": true} +{"solution": {"solution": "1. First, calculate the total number of days between March 1st and April 19th, inclusive.\n\n\\[\n\\text{Total days} = 31 \\text{ (March days)} + 19 \\text{ (April days)} = 50 \\text{ days}\n\\]\n\n2. Next, calculate the number of days Billy takes off.\n\n\\[\n\\text{Days taken off} = 50 \\times 0.2 = 10 \\text{ days}\n\\]\n\n3. Subtract the days taken off from the total number of days to find the number of days Billy works.\n\n\\[\n\\text{Days worked} = 50 - 10 = 40 \\text{ days}\n\\]\n\n4. Determine how many people Billy can help in a day.\n\n\\[\n\\text{People helped per day} = 2\n\\]\n\n5. Calculate the total number of people Billy helps by multiplying the number of days he works by the number of people he helps per day.\n\n\\[\n\\text{Total people helped} = 40 \\times 2 = 80\n\\]\n\n6. Conclusion:\n\n\\[\n\\boxed{80}\n\\]", "answer": {"result": 80}}, "matches": false} +{"solution": {"solution": "There were 12 buses, and each bus carried 35 people, so there were 12 * 35 = 420 people on the buses. \n\nThere were 20 private cars, and each car carried 3 people, so there were 20 * 3 = 60 people in the cars. \n\nIn total, there were 420 + 60 = 480 people inside the church. \n\n#### 480\nThe answer is: 480", "answer": {"result": 480}}, "matches": true} +{"solution": {"solution": "If Mike is 24 years old, and Martha is 4 years younger than Mike, then Martha is 24 - 4 = 20 years old.\n\nSince Jeff is 10 years older than Martha, Jeff is 20 + 10 = $\\boxed{30}$ years old.The answer is: 30", "answer": {"result": 30}}, "matches": true} +{"solution": {"solution": "To find the time it takes to slide down each waterslide, I need to divide the length by the speed. For the biggest slide, the time is 300/60 = 5 minutes. For the second biggest slide, the time is 240/80 = 3 minutes. The difference in time is 5 - 3 = 2 minutes. So the biggest slide takes 2 minutes longer than the second biggest slide.", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "Bobby takes a 30 minute lunch per day, so in 5 days, his lunches add up to 30 minutes x 5 days = 150 minutes.\n\nHe also takes a 15 minute break twice a day, so in 5 days, his breaks add up to 15 minutes x 2 breaks x 5 days = 150 minutes.\n\nTo find the total time, we add the lunch and break times: 150 minutes + 150 minutes = 300 minutes.\n\nSince there are 60 minutes in an hour, we divide the total minutes by 60 to convert it to hours: 300 minutes \u00f7 60 = 5 hours. \n\nTherefore, after 5 days, Bobby's lunches and breaks add up to $\\boxed{5}$ hours.", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "If Amber ran 8 miles, and Micah ran 3.5 times what Amber ran, we can calculate how many miles Micah ran by multiplying Amber's distance by 3.5:\n\nMicah's distance = 3.5 * 8 miles\nMicah's distance = 28 miles\n\nNow, to find out how many miles Ahito ran, we subtract the distances ran by Amber and Micah from the total distance:\n\nTotal distance - (Amber's distance + Micah's distance) = Ahito's distance\n52 miles - (8 miles + 28 miles) = Ahito's distance\n52 miles - 36 miles = Ahito's distance\n16 miles = Ahito's distance\n\nAhito ran $\\boxed{16}$ miles.", "answer": {"result": 16}}, "matches": true} +{"solution": {"solution": "Sheila charged $85.00 worth of merchandise on her credit card.\nShe returned an item that cost $15.00, so her credit card balance decreased by $15.00.\nHer new credit card balance is $85.00 - $15.00 = $70.00.\nThe frying pan was on sale for 20% off $20.00, so it cost 20% * $20.00 = $4.00 off.\nThe frying pan cost $20.00 - $4.00 = $16.00.\nThe set of towels was 10% off $30.00, so it cost 10% * $30.00 = $3.00 off.\nThe set of towels cost $30.00 - $3.00 = $27.00.\nThe total cost of the frying pan and the set of towels is $16.00 + $27.00 = $43.00.\nShe put both purchases on her credit card, so her new credit card balance is $70.00 + $43.00 = $113.00.\n#### 113\nThe answer is: 113", "answer": {"result": 113}}, "matches": true} +{"solution": {"solution": "1. Let \\( n \\) be the total number of jellyfish in the aquarium.\n2. According to the problem, a fifth of the jellyfish are large. Therefore, the fraction of large jellyfish is:\n \\[\n \\frac{1}{5}\n \\]\n3. The remaining jellyfish are small, making up the fraction:\n \\[\n 1 - \\frac{1}{5} = \\frac{4}{5}\n \\]\n4. A third of the large jellyfish change color to blue under the UV light. Thus, the fraction of large jellyfish that change color is:\n \\[\n \\frac{1}{3}\n \\]\n5. When the UV light is turned on, 6 jellyfish change color. These jellyfish are all large jellyfish. Hence, the fraction of large jellyfish that change color matches the observed number of jellyfish changing color:\n \\[\n \\frac{1}{3} \\times \\text{(large jellyfish)} = 6\n \\]\n6. Solving for the number of large jellyfish:\n \\[\n \\text{(large jellyfish)} = 6 \\div \\frac{1}{3} = 6 \\times 3 = 18\n \\]\n7. Given that the large jellyfish constitute a fifth of the total jellyfish, we can find the total number of jellyfish in the aquarium:\n \\[\n \\text{Total jellyfish} = 18 \\div \\frac{1}{5} = 18 \\times 5 = 90\n \\]\n8. Therefore, the total number of jellyfish in the aquarium is:\n \\[\n \\boxed{90}\n \\]", "answer": {"result": 90}}, "matches": true} +{"solution": {"solution": "If Chris is 4 years old, then Ben is 2 times older than Chris, so Ben is 4 * 2 = 8 years old.\n\nCaroline is three times older than Ben, so Caroline is 8 * 3 = $\\boxed{24}$ years old.\nThe answer is: 24", "answer": {"result": 24}}, "matches": true} +{"solution": {"solution": "Lauren is saving 20% of her paycheck, so she is saving $100,000 * 20% = $20,000 per year.\n\nIf she plans to live off 40% of her current annual salary, that would be $100,000 * 40% = $40,000 per year.\n\nTo find out how much she needs to save for retirement, we need to calculate how much she needs for 20 years at $40,000 per year.\n\n$40,000 * 20 = $800,000\n\nLauren needs to save $800,000 for retirement.\n\nShe saves $20,000 per year, so to calculate how many years she needs to work, we divide the total amount needed by her annual savings.\n\n$800,000 / $20,000 = 40 years\n\nHowever, since Lauren is already planning to work for 20 years, we subtract the planned working years from the total years needed.\n\n40 years - 20 years = 20 years\n\nLauren needs to work an additional 20 years to save for her planned retirement period.\n\n#### 20\nThe answer is: 20", "answer": {"result": 20}}, "matches": false} +{"solution": {"solution": "To find the length of each final cut, we first divide the initial 100 centimeters of ribbon into 4 equal parts:\n\n1. Calculate the length of each of the 4 initial parts:\n\\[ \\frac{100 \\text{ cm}}{4} = 25 \\text{ cm} \\]\n\nNext, we divide each of these 4 parts into 5 equal parts:\n\n2. Calculate the length of each of the 5 final parts from one of the initial 4 parts:\n\\[ \\frac{25 \\text{ cm}}{5} = 5 \\text{ cm} \\]\n\nSince this process is repeated for each of the 4 initial parts, the length of each final cut is:\n\n\\[ \\boxed{5 \\text{ cm}} \\]", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the total percentage of girls in the school:**\n Given that 40% of the school population consists of 240 boys, we need to find the percentage of girls. Since the percentages must sum up to 100%, the percentage of girls is:\n \\[\n 100\\% - 40\\% = 60\\%\n \\]\n\n2. **Calculate the whole population of the school:**\n If 40% of the school population corresponds to 240 boys, we can set up the following proportion to find the total population \\( P \\):\n \\[\n \\frac{40\\% \\text{ of } P}{240} = 1 \n \\]\n Converting percentage to a fraction, we have:\n \\[\n \\frac{0.40 \\times P}{240} = 1\n \\]\n Solving for \\( P \\):\n \\[\n 0.40 \\times P = 240\n \\]\n \\[\n P = \\frac{240}{0.40} = 600\n \\]\n\n3. **Determine the number of girls:**\n Since 60% of the school population are girls, we calculate the number of girls using the total population \\( P \\):\n \\[\n \\text{Number of girls} = 60\\% \\text{ of } 600 = 0.60 \\times 600 = 360\n \\]\n\n### Conclusion:\n\nThe number of girls in the school is:\n\\[\n\\boxed{360}\n\\]", "answer": {"result": 360}}, "matches": true} +{"solution": {"solution": "My mom bought pots for $19 and a sack of garden soil for $26. \n\nThe total cost before the coupon was applied was $19 + $26 = $45. \n\nShe used a coupon for $7 off, so she received a discount of $7. \n\nThe final amount she spent at the gardening shop was $45 - $7 = $38. \n\n#### 38\nThe answer is: 38", "answer": {"result": 38}}, "matches": true} +{"solution": {"solution": "To find the average height of the heels at the party, we need to find the total height of all the heels and then divide it by the number of heels.\n\nThere are 3 women wearing 4 inch heels, so the total height for those is:\n3 women * 4 inches/woman = 12 inches\n\nThere are 3 women wearing 2 inch heels, so the total height for those is:\n3 women * 2 inches/woman = 6 inches\n\nNow, we add the total heights of both types of heels:\n12 inches (4 inch heels) + 6 inches (2 inch heels) = 18 inches\n\nNext, we divide the total height by the number of heels to find the average height:\n18 inches / 6 heels = 3 inches\n\nSo, the average height of the heels at the party is $\\boxed{3}$ inches.The answer is: 3", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "Soledad plans to hike 9,300 miles in total.\nShe wants to hike twice a day, covering 125 miles each time, for a total of 240 miles per day.\nTo find out how many more miles she needs to hike per day, we subtract the total miles she plans to hike from the total distance she wants to cover.\n9,300 - 240 = 9,060\nSoledad needs to hike 9,060 miles in June.\nSince she is hiking twice a day, she needs to hike 9,060 / 2 = 4,530 miles per day.\nTo find out how many more miles per day she needs to hike, we subtract the 240 miles she plans to hike from the 4,530 miles she needs to hike.\n4,530 - 240 = 4,290\nSoledad needs to hike 4,290 more miles per day to complete her journey on time.\n#### 4290\nThe answer is: 4290", "answer": {"result": 4290}}, "matches": false} +{"solution": {"solution": "\nTo find the total revenue from selling all the balls, we need to calculate the revenue from each color of ball and then sum them up.\n\n1. **Red Balls:**\n - There are 3 red balls.\n - Each red ball costs $9.\n - Revenue from red balls = 3 * $9 = $27.\n\n2. **Blue Balls:**\n - There are 11 blue balls.\n - Each blue ball costs $5.\n - Revenue from blue balls = 11 * $5 = $55.\n\n3. **Green Balls:**\n - There are 25 green balls.\n - Each green ball costs $3.\n - Revenue from green balls = 25 * $3 = $75.\n\n4. **Total Revenue:**\n - Adding up the revenues from each color gives:\n \\[\n \\text{Total Revenue} = \\$27 + \\$55 + \\$75 = \\$157\n \\]\n\nConclusion:\n\\[\n\\boxed{157}\n\\]", "answer": {"result": 157}}, "matches": true} +{"solution": {"solution": "Pierre, Paul, and Jacques bought a total of 12 kg of apples. \n\nPeter wants a quarter of that, which is 1/4 * 12 kg = 3 kg.\nPaul wants 1/3 of that, which is 1/3 * 12 kg = 4 kg.\n\nTogether, Peter and Paul want 3 kg + 4 kg = 7 kg.\n\nSince Pierre, Paul, and Jacques bought 12 kg in total, and Peter and Paul want 7 kg, Jacques will have 12 kg - 7 kg = 5 kg left.\n\nTherefore, James (Jacques) will have 5 kg of apples left.\n\n#### 5\nThe answer is: 5", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "To find the temperature in the morning, we start with the initial temperature of 2 degrees Celsius and apply the changes one by one. \n\nFirst, we account for the drop in temperature overnight, which is given as 8 degrees Celsius. This means the temperature decreased by 8 degrees Celsius from its initial value. We calculate this decrease as follows:\n\\[2 - 8 = -6\\]\n\nNext, we consider the increase in temperature in the morning, which is given as 3 degrees Celsius. This means the temperature increased by 3 degrees Celsius from whatever it was after the overnight drop. We add this increase to the temperature after the drop:\n\\[-6 + 3 = -3\\]\n\nTherefore, the temperature in the morning, after accounting for both the drop overnight and the increase in the morning, is:\n\\[2 - 8 + 3 = -3\\]\n\nSo, the temperature in the morning was $\\boxed{-3}$ degrees Celsius.", "answer": {"result": -3}}, "matches": true} +{"solution": {"solution": "Raymond started with $21. \n\nHe saved an additional $11, so he has $21 + $11 = $32. \n\nHe then spent $5 on a comic book, so he has $32 - $5 = $27 left. \n\nFinally, he spent $19 on a puzzle, so he has $27 - $19 = $8 left. \n\nRaymond has $\\boxed{\\$8}$ left.The answer is: 8", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "Anna had a budget of $16 and has already spent $4, so she has $16 - $4 = $12 left.\nShe bought 2 books today and has $2 left in her budget, so the total cost of the 2 books is $12 - $2 = $10.\nSince both books cost the same amount, each book cost $10 / 2 = $5.\nTherefore, each book cost $5.\n#### 5\nThe answer is: 5", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "To find the number of students enrolled this year in the calligraphy class, given a 20% increase from last year's enrollment of 50 students, we follow these steps:\n\n1. Calculate the increase in enrollment:\n\\[ \\text{Increase} = 50 \\times \\frac{20}{100} = 10 \\]\n\n2. Add the increase to the original enrollment to find the new enrollment:\n\\[ \\text{New Enrollment} = 50 + 10 = 60 \\]\n\nTherefore, the number of students enrolled this year in the calligraphy class is $\\boxed{60}$.", "answer": {"result": 60}}, "matches": true} +{"solution": {"solution": "\n1. First, determine the blinking rate of the lighthouse light. The light blinks 255 times in 5 minutes.\n\n \\[\n \\text{Blinking rate} = \\frac{255 \\text{ blinks}}{5 \\text{ minutes}} = 51 \\text{ blinks per minute}\n \\]\n\n2. Calculate how long it would take for the light to blink 459 times, using the derived rate:\n\n \\[\n \\text{Time} = \\frac{459 \\text{ blinks}}{51 \\text{ blinks per minute}}\n \\]\n\n3. Perform the division to find the time in minutes:\n\n \\[\n \\text{Time} = \\frac{459}{51} = 9\n \\]\n\n4. Conclusion: It takes 9 minutes for the light to blink 459 times.\n\n \\[\n \\boxed{9}\n \\]\n\n---\n\n2. Consider a caterpillar that crawls 1 meter in 5 minutes. Suppose it doubles its speed every day, starting on the first day. On the second day, it covers 2 meters, and on the third day, it covers 4 meters. Determine how far it would crawl on the 31st day.\n\n1. Recognize the pattern of the caterpillar's daily distances:\n - Day 1: 1 meter\n - Day 2: 2 meters\n - Day 3: 4 meters\n - Day 4: 8 meters\n - ...\n - Day 31:\n\n2. The distance crawled each day forms a geometric sequence with the first term \\(a = 1\\) and a common ratio \\(r = 2\\). The general formula for the nth term of a geometric sequence is:\n\n \\[\n a_n = a \\cdot r^{n-1}\n \\]\n\n For the caterpillar on the 31st day:\n\n \\[\n \\text{Distance on 31st day} = 1 \\cdot 2^{31-1} = 2^{30}\n \\]\n\n3. Calculate \\(2^{30}\\):\n\n \\[\n 2^{30} = 2^{25} \\cdot 2^5 = 33554432 \\cdot 32 = 1073741824\n \\]\n\n4. Conclusion: On the 31st day, the caterpillar crawls 1,073,741,824 meters.\n\n \\[\n \\boxed{1073741824}\n \\]\n\n---\n\n3. A train leaves station A for station B, which is 240 km away. It travels at a constant speed of 60 km/h. Another train leaves station B for station A at the same time, traveling at 40 km/h. Determine how far each train has traveled when they meet.\n\n1. Let \\(t\\) be the time in hours when the trains meet. In this time, train A has traveled \\(60t\\) km and train B has traveled \\(40t\\) km.\n\n2. The sum of the distances traveled by the two trains when they meet is equal to the total distance between the stations:\n\n \\[\n 60t + 40t = 240\n \\]\n\n3. Simplify and solve for \\(t\\):\n\n \\[\n 100t = 240 \\implies t = \\frac{240}{100} = 2.4 \\text{ hours}\n \\]\n\n4. Calculate the distance each train has traveled:\n - Train A: \\(60 \\times 2.4 = 144\\) km\n - Train B: \\(40 \\times 2.4 = 96\\) km\n\n Conclusion: When the trains meet, train A has traveled 144 km, and train B has traveled 96 km.\n\n \\[\n \\boxed{144 \\text{ km and } 96 \\text{ km}}\n \\]\n\n---\n\n4. A farmer sells 1000 eggs for 100 dollars. If he had sold each egg at 14 cents more, he would have earned 15 dollars more. Calculate the number of eggs sold and find the price per egg.\n\n1. Let \\(n\\) be the number of eggs sold.\n\n2. The original selling price for each egg is:\n\n \\[\n \\text{Original price} = \\frac{100 \\text{ dollars}}{n \\text{ eggs}}\n \\]\n\n3. With an increased price of 14 cents per egg, the new selling price per egg becomes:\n\n \\[\n \\text{New price} = \\frac{100 \\text{ dollars}}{n \\text{ eggs}} + 0.14 \\text{ dollars}\n \\]\n\n4. The total revenue with the increased price is 15 dollars more:\n\n \\[\n n \\left( \\frac{100 \\text{ dollars}}{n \\text{ eggs}} + 0.14 \\text{ dollars} \\right) = 100 \\text{ dollars} + 15 \\text{ dollars}\n \\]\n\n5. Simplify and solve for \\(n\\):\n\n \\[\n n \\left( \\frac{100}{n} + 0.14 \\right) = 115\n \\]\n\n \\[\n 100 + 0.14n = 115\n \\]\n\n \\[\n 0.14n = 15\n \\]\n\n \\[\n n = \\frac{15}{0.14} = 107.14\n \\]\n\n Since \\(n\\) must be an integer, round to the nearest whole number:\n\n \\[\n n = 107\n \\]\n\n6. Calculate the original price per egg:\n\n \\[\n \\text{Original price per egg} = \\frac{100 \\text{ dollars}}{107 \\text{ eggs}} = \\frac{100}{107} \\text{ dollars per egg}\n \\]\n\n Convert to cents:\n\n \\[\n \\frac{100}{107} \\text{ dollars per egg} \\times 100 \\text{ cents per dollar} = 93.46 \\text{ cents per egg}\n \\]\n\n7. Calculate the new price per egg:\n\n \\[\n \\text{New price per egg} = \\frac{100}{107} \\text{ dollars per egg} + 0.14 \\text{ dollars per egg} = \\frac{100 + 14}{107} \\text{ dollars per egg} = \\frac{114}{107} \\text{ dollars per egg}\n \\]\n\n Convert to cents:\n\n \\[\n \\frac{114}{107} \\text{ dollars per egg} \\times 100 \\text{ cents per dollar} = 106.54 \\text{ cents per egg}\n \\]\n\n8. Conclusion: The farmer sold 107 eggs, and the price per egg was originally 93.46 cents and increased to 106.54 cents when the price increased by 14 cents.\n\n \\[\n \\boxed{107 \\text{ eggs, original price } 93.46 \\text{ cents per egg, new price } 106.54 \\text{ cents per egg}}\n \\]", "answer": {"result": -144}}, "matches": false} +{"solution": {"solution": "Initially, Tate has 4 male guppies + 7 female guppies = 11 guppies in total.\nHe also has 3 male goldfishes + 5 female goldfishes = 8 goldfishes in total.\nAfter buying more fish, Tate now has 4 male guppies + 2 male guppies = 6 male guppies.\nHe now also has 7 female guppies + 1 female guppy = 8 female guppies.\nFor goldfishes, Tate now has 3 male goldfishes + 2 male goldfishes = 5 male goldfishes.\nAnd he now has 5 female goldfishes + 3 female goldfishes = 8 female goldfishes.\nIn total, Tate has 6 male guppies + 8 female guppies + 5 male goldfishes + 8 female goldfishes = 27 fishes.\nTo find the difference between female and male fishes, we subtract the total number of male fishes from the total number of female fishes.\n27 fishes - (6 male guppies + 5 male goldfishes) = 27 - 11 = 16 female fishes.\nTate has 16 female fishes - 11 male fishes = 5 more female fishes than male fishes.\n#### 5\nThe answer is: 5", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "\n1. **Calculate the time Megan took to walk the dog:**\n - Amalia took 4 hours to mow the lawn.\n - Megan took 2 hours longer than Amalia, so she took:\n \\[\n 4 \\, \\text{hours} + 2 \\, \\text{hours} = 6 \\, \\text{hours}\n \\]\n\n2. **Calculate the time Dior took to do laundry:**\n - Dior took more than 4 hours longer than Amalia to complete her chore, which means:\n \\[\n 4 \\, \\text{hours} + (4 \\, \\text{hours} + 1 \\, \\text{hour}) = 9 \\, \\text{hours}\n \\]\n - Therefore, Dior took 9 hours to do laundry.\n\n3. **Add the time taken by each person to find the total time they all took together:**\n - Amalia: 4 hours\n - Megan: 6 hours\n - Dior: 9 hours\n\n Summing these times, we get:\n \\[\n 4 \\, \\text{hours} + 6 \\, \\text{hours} + 9 \\, \\text{hours} = 19 \\, \\text{hours}\n \\]\n\n### Conclusion:\nThe total time they all took to do their chores together is:\n\\[\n\\boxed{19 \\, \\text{hours}}\n\\]\n\nThe answer is 19 hours.", "answer": {"result": 19}}, "matches": false} +{"solution": {"solution": "John visits his parents twice a month, so he makes a round trip twice a month.\n\nThe distance to his parents' house can be calculated using the formula:\nDistance = Speed \u00d7 Time\n\nFor a one-way trip:\nDistance = 70 mph \u00d7 2 hours = 140 miles\n\nSince it's a round trip, he travels this distance twice:\nRound trip distance = 140 miles \u00d7 2 = 280 miles\n\nTo find out how many miles he drives in a month, we multiply the round trip distance by the number of times he makes the trip in a month:\nMiles per month = 280 miles \u00d7 2 = 560 miles\n\nTherefore, John drives $\\boxed{560}$ miles a month when visiting his parents.", "answer": {"result": 560}}, "matches": true} +{"solution": {"solution": "If Sofie plans to walk 10 miles every day for 7 days, then she will walk a total of $10 \\times 7 = 70$ miles in seven days.\n\nSince Sofie will walk twice as far as Brian in seven days, Brian will walk half as far as Sofie.\n\nTherefore, Brian will walk $\\frac{70}{2} = \\boxed{35}$ miles in seven days.The answer is: 35", "answer": {"result": 35}}, "matches": true} +{"solution": {"solution": "\n1. **Calculate the total number of toys produced by the first four workers:**\n - Two workers produce 6 toys per hour.\n \\[\n 2 \\times 6 = 12 \\text{ toys per hour}\n \\]\n - Two other workers produce 4 toys per hour.\n \\[\n 2 \\times 4 = 8 \\text{ toys per hour}\n \\]\n - Therefore, the total number of toys produced by all four workers in one hour is:\n \\[\n 12 + 8 = 20 \\text{ toys per hour}\n \\]\n\n2. **Calculate the total number of toys produced by the four workers in a 10-hour shift:**\n - Since the rate of production is 20 toys per hour for the four workers, over a 10-hour shift, they would produce:\n \\[\n 20 \\times 10 = 200 \\text{ toys}\n \\]\n\n3. **Determine the number of toys required to fulfill the order:**\n - The order requires 400 toys.\n - By the end of the shift, the manufacturer still needs an additional 20 toys to fulfill the order.\n - Therefore, the total number of toys produced by the four workers plus the additional requirement is:\n \\[\n 400 - 20 = 380 \\text{ toys}\n \\]\n\n4. **Calculate the rate required for the fifth worker to reach the total production goal:**\n - The four workers produced 200 toys in total.\n - The additional 20 toys needed bring the total up to 380 toys.\n - The fifth worker, therefore, must produce the remaining toys.\n \\[\n 380 - 200 = 180 \\text{ toys}\n \\]\n\n5. **Determine the toy production rate of the fifth worker:**\n - The fifth worker has 10 hours to complete 180 toys.\n - The production rate of the fifth worker per hour is:\n \\[\n \\frac{180}{10} = 18 \\text{ toys per hour}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{18}\n\\]", "answer": {"result": 18}}, "matches": true} +{"solution": {"solution": "Kory\u2019s dog weighs 60 pounds.\nElijah\u2019s first dog weighs one-fourth the weight of Kory\u2019s dog, so it weighs 60/4 = 15 pounds.\nElijah\u2019s second dog weighs half the weight of Kory\u2019s dog, so it weighs 60/2 = 30 pounds.\nAltogether, Elijah and Kory\u2019s dogs weigh 60 + 15 + 30 = 105 pounds.\n#### 105\nThe answer is: 105", "answer": {"result": 105}}, "matches": true} +{"solution": {"solution": "Let's break down the problem step by step:\n\n1. Seth gave half of his stickers to Luis.\n2. Luis used half of the stickers he received from Seth.\n3. Luis gave the rest of the stickers to Kris.\n4. Kris kept 9 stickers and gave 7 to Rob.\n\nWe need to find out how many stickers Seth had in the beginning.\n\nLet's denote the number of stickers Seth had in the beginning as S.\n\n1. Seth gave half to Luis:\n S / 2\n\n2. Luis used half of the stickers he received:\n (S / 2) / 2 = S / 4\n\n3. Luis gave the rest to Kris:\n The remaining stickers for Luis are:\n S / 2 - S / 4 = S / 4\n\n4. Kris kept 9 and gave 7 to Rob:\n The stickers Luis gave to Kris plus the 9 Kris kept add up to the 7 given to Rob:\n S / 4 + 9 + 7 = S / 4 + 16\n\nThe total number of stickers Kris gave to Rob (7) is equal to the number of stickers Luis gave to Kris (S / 4), so we can set up the equation:\n\nS / 4 = 7\n\nTo find the original number of stickers Seth had (S), we solve for S:\n\nS = 7 * 4\nS = 28\n\nSeth had $\\boxed{28}$ stickers in the beginning.", "answer": {"result": 28}}, "matches": false} +{"solution": {"solution": "To solve this problem, we follow these steps:\n\n1. First, calculate the total number of ounces John has by multiplying the number of large bags by the weight of each bag:\n\\[3 \\times 10 = 30 \\text{ ounces}\\]\n\n2. Next, determine the total number of M&Ms by multiplying the total ounces by the number of M&Ms per ounce:\n\\[30 \\times 30 = 900 \\text{ M&Ms}\\]\n\n3. Finally, to find out how many small bags of 10 M&Ms each he can make, divide the total number of M&Ms by the number of M&Ms per bag:\n\\[900 \\div 10 = 90 \\text{ small bags}\\]\n\nTherefore, John can make $\\boxed{90}$ small bags of M&Ms.", "answer": {"result": 90}}, "matches": true} +{"solution": {"solution": "To find out how many days it will take Alfie to fly a distance equal to half of the way around the earth, we first calculate half of the earth's circumference.\n\n1. Calculate half of the earth's circumference:\n - The earth's circumference is 40,000 kilometers.\n - Half of the earth's circumference is $40,000 / 2 = 20,000$ kilometers.\n\n2. Determine how many days it will take Alfie to fly 20,000 kilometers:\n - Alfie flies 400 kilometers every day.\n - The number of days required to fly 20,000 kilometers is $20,000 / 400 = 50$ days.\n\nTherefore, it will take Alfie $\\boxed{50}$ days to fly a distance equal to half of the way around the earth.", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "To find out how fast the faster car goes, we need to work backwards from the given information. \n\n1. **Find the speed of the 2nd fastest car:**\nGiven that the 2nd fastest car is 5 times faster than the average car, and the average car can go 120 Miles per hour, we calculate the speed of the 2nd fastest car as follows:\n\\[120 \\, \\text{mph} \\times 5 = 600 \\, \\text{mph}\\]\n\n2. **Find the speed of the faster car:**\nWe know the faster car is 1.25 times faster than the 2nd fastest car. Therefore, we calculate the speed of the faster car by multiplying the speed of the 2nd fastest car by 1.25:\n\\[600 \\, \\text{mph} \\times 1.25 = 750 \\, \\text{mph}\\]\n\nTherefore, the speed of the faster car is $\\boxed{750 \\, \\text{mph}}$.", "answer": {"result": 750}}, "matches": true} +{"solution": {"solution": "Two years ago, Liam was 16 - 2 = 14 years old. \n\nAt that time, Liam's age was twice Vince's age, so Vince was 14 / 2 = 7 years old two years ago.\n\nSince then, Vince has aged two years, so Vince is now 7 + 2 = $\\boxed{9}$ years old.", "answer": {"result": 9}}, "matches": true} +{"solution": {"solution": "Let's denote the number of eggs painted by Arnold and Madeline as A and the number of eggs painted by Camden and Sarah as C and S, respectively.\n\nAccording to the problem, we have the following equations:\n\n1. A + A + C + S = 56 (Arnold, Madeline, Camden, and Sarah painted 56 eggs in total)\n2. C + S = 30 (Camden and Sarah painted a total of 30 eggs)\n3. C = S + 12 (Camden painted 12 more eggs than Sarah)\n\nFrom equation 2, we can express C in terms of S: C = 30 - S.\n\nSubstitute this expression for C into equation 3:\n\n30 - S = S + 12\n\nSolve for S:\n\n30 - 12 = 2S\n18 = 2S\nS = 9\n\nNow that we know Sarah painted 9 eggs, we can find out how many Camden painted by substituting S back into the expression for C:\n\nC = 30 - S\nC = 30 - 9\nC = 21\n\nCamden painted 21 eggs.\n\nNow, we need to find out how many more eggs Camden painted than Arnold. Since Arnold and Madeline painted the same number of eggs, let's denote that number as A.\n\nFrom equation 1, we know that 2A + C + S = 56. We already know that C = 21 and S = 9, so:\n\n2A + 21 + 9 = 56\n2A + 30 = 56\n2A = 56 - 30\n2A = 26\nA = 13\n\nArnold painted 13 eggs.\n\nNow, we can find out how many more eggs Camden painted than Arnold:\n\nC - A = 21 - 13 = 8\n\nCamden painted 8 more eggs than Arnold.\n\nThe final answer is 8.\n\nAnswer: \\boxed{8}", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "First, let's determine how many boxes Nik will need to hold all 200 crayons. Since each box can hold 8 crayons, we divide the total number of crayons by the number of crayons per box:\n\n200 crayons \u00f7 8 crayons/box = 25 boxes\n\nEach box weighs 8 ounces, so 25 boxes weigh:\n\n25 boxes \u00d7 8 ounces/box = 200 ounces\n\nNow, let's convert the weight of the boxes from ounces to pounds. There are 16 ounces in a pound, so:\n\n200 ounces \u00f7 16 ounces/pound = 12.5 pounds\n\nNext, we need to account for the weight of the crayons. Since each crayon weighs 1 ounce and there are 200 crayons, they weigh:\n\n200 crayons \u00d7 1 ounce/crayon = 200 ounces\n\nAdding the weight of the crayons to the weight of the boxes, we get:\n\n200 ounces (crayons) + 200 ounces (boxes) = 400 ounces\n\nConverting this to pounds:\n\n400 ounces \u00f7 16 ounces/pound = 25 pounds\n\nTherefore, the total weight of the crayons and the boxes is 25 pounds.", "answer": {"result": 25}}, "matches": true} +{"solution": {"solution": "1. Calculate the length of usable wood:\n John can make logs out of 80% of the tree, so the usable length is:\n \\[\n 80 \\text{ feet} \\times 0.80 = 64 \\text{ feet}\n \\]\n\n2. Determine the number of 4-foot logs that can be made from the usable wood:\n \\[\n \\frac{64 \\text{ feet}}{4 \\text{ feet/log}} = 16 \\text{ logs}\n \\]\n\n3. Calculate the number of planks cut from each log:\n Each log yields 5 planks, so from 16 logs, the total number of planks is:\n \\[\n 16 \\text{ logs} \\times 5 \\text{ planks/log} = 80 \\text{ planks}\n \\]\n\n4. Calculate the total revenue from selling the planks:\n Each plank is sold for $1.2, so the total revenue is:\n \\[\n 80 \\text{ planks} \\times 1.2 \\text{ dollars/plank} = 96 \\text{ dollars}\n \\]\n\n5. Box the final answer:\n \\[\n \\boxed{96}\n \\]\n\nConclusion:\nJohn makes a total of $\\boxed{96}$ dollars from selling the planks.", "answer": {"result": 96}}, "matches": true} +{"solution": {"solution": "\n\nValerie earns $5000 per month, which is 1/2 of what her brother earns, so her brother earns $5000 x 2 = $10000 per month. \n\nTheir combined salary is $5000 + $10000 = $15000 per month. \n\nTheir mother earns twice their combined salary, so she earns $15000 x 2 = $30000 per month. \n\nThe total amount of money they all have together is $5000 + $10000 + $30000 = $45000 per month. \n\n#### 45000\nThe answer is: 45000", "answer": {"result": 45000}}, "matches": true} +{"solution": {"solution": "\n1. First, determine the time spent walking on the beach. Given that 40 minutes are spent on the beach and her walking rate on the beach is 1 mile per 80 minutes (since 40 minutes is half of 80 minutes), we can deduce that her walking rate on the beach is $\\frac{1}{80}$ miles per minute.\n\n2. The sidewalk's walking rate is twice as fast as on the beach, which means it's $\\frac{1}{40}$ miles per minute.\n\n3. To find out how long it takes for Grandma to walk the 2 miles on the beach, we use the rate:\n \\[\n \\text{Time on beach} = \\frac{2 \\text{ miles}}{\\frac{1}{80} \\text{ miles/minute}} = 2 \\times 80 = 160 \\text{ minutes}.\n \\]\n\n4. For the sidewalk, the time spent walking is:\n \\[\n \\text{Time on sidewalk} = \\frac{1 \\text{ mile}}{\\frac{1}{40} \\text{ miles/minute}} = 1 \\times 40 = 40 \\text{ minutes}.\n \\]\n\n5. Adding the times together gives the total time for the 3-mile walk:\n \\[\n \\text{Total time} = 160 \\text{ minutes} + 40 \\text{ minutes} = 200 \\text{ minutes}.\n \\]\n\n6. Therefore, the total time Grandma takes to complete her 3-mile walk is $\\boxed{200}$ minutes.\n\nAnswer: 200", "answer": {"result": 200}}, "matches": false} +{"solution": {"solution": "Jane has already saved $4 for 8 weeks, so she has saved a total of $4 x 8 = $32.\n\nShe wants to save a total of $60, so she still needs to save $60 - $32 = $28.\n\nSince she saves $4 per week, it will take her $28 / $4 = 7 more weeks to save the remaining $28.\n\nSo, it will take Jane a total of 8 (previous weeks) + 7 (additional weeks) = 15 weeks to save $60.\n\nAnswer: 15 weeks.\nThe final answer is 15", "answer": {"result": 15}}, "matches": false} +{"solution": {"solution": "To find the total number of blue birds in the trees, we need to add the number of blue birds from each group of trees.\n\nFor the 3 trees with 7 blue birds each:\n3 trees * 7 blue birds/tree = 21 blue birds\n\nFor the 2 trees with 4 blue birds each:\n2 trees * 4 blue birds/tree = 8 blue birds\n\nFor the final tree with 3 blue birds:\n1 tree * 3 blue birds/tree = 3 blue birds\n\nNow, we add all the blue birds together:\n21 blue birds + 8 blue birds + 3 blue birds = 32 blue birds\n\nSo, there are a total of $\\boxed{32}$ blue birds in the trees.", "answer": {"result": 32}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the initial number of marbles Bob has:**\n - Bob receives 2 dozen more marbles, making his total 60.\n - Each dozen equals 12 marbles.\n - Therefore, 2 dozen marbles = \\(2 \\times 12 = 24\\) marbles.\n\n2. **Calculate the initial total number of marbles:**\n - We know that after receiving 24 more marbles, Bob will have 60 marbles.\n - Let the initial number of marbles Bob has be \\(x\\).\n - According to the problem:\n \\[\n x + 24 = 60\n \\]\n\n3. **Solve for \\(x\\):**\n - Subtract 24 from both sides of the equation to isolate \\(x\\):\n \\[\n x = 60 - 24\n \\]\n - Simplify the right-hand side:\n \\[\n x = 36\n \\]\n\n4. **Determine the number of marbles after losing 10:**\n - Bob has 36 marbles initially.\n - After losing 10 marbles, the number of marbles he will have is:\n \\[\n 36 - 10 = 26\n \\]\n\n### Conclusion:\nAfter losing 10 marbles, Bob will have \\(26\\) marbles.\n\n\\[\n\\boxed{26}\n\\]", "answer": {"result": 26}}, "matches": true} +{"solution": {"solution": "To solve this problem, we need to understand how Donny's ability to drink the water changes based on the temperature of the combined water. The key information given is that he can only drink water if it's at least 40 degrees. \n\n1. **Understanding the Temperature Change**: When Donny pours 4 ounces from the 33-degree mug into his water bottle, the temperature increase is calculated as follows:\n - The temperature increase = Amount of water transferred \u00d7 (Difference in temperature)\n - This gives us: $4 \\times (40 - 33) = 4 \\times 7 = 28$ degrees.\n\n2. **Determining the Minimum Temperature of the Other Mug**: Since the temperature must be at least 40 degrees after adding 4 ounces from the 33-degree mug, we calculate the minimum temperature the other mug must have after pouring out 1 ounce:\n - The minimum temperature = Temperature after adding 4 ounces + Temperature increase from the other mug\n - This equation is: $40 = 33 + 4 \\times 7 + (40 - x)$, where $x$ is the temperature of the other mug in degrees.\n - Simplifying, we get: $40 = 33 + 28 + 40 - x$\n - Combining like terms, we get: $40 = 81 - x$\n - Solving for $x$, we find: $x = 81 - 40 = 41$.\n\n3. **Conclusion**: Therefore, at least how many degrees is the second bottle? The second bottle must have a temperature of at least $\\boxed{41}$ degrees to satisfy the condition that the combined water is at least 40 degrees.", "answer": {"result": 41}}, "matches": false} +{"solution": {"solution": "Melanie's father starts with 50 cows and 20 chickens. \n\nIn three weeks, which is 3 * 7 = 21 days, Milkie Cows Limited brings him 20 cows per day, so 20 cows/day * 21 days = 420 cows.\n\nBroilers Limited brings him 10 chickens per day, so 10 chickens/day * 21 days = 210 chickens.\n\nThe total number of cows after three weeks is 50 (initial cows) + 420 (additional cows) = 470 cows.\n\nThe total number of chickens after three weeks is 20 (initial chickens) + 210 (additional chickens) = 230 chickens.\n\nTherefore, the total number of animals on the farm after three weeks is 470 cows + 230 chickens = $\\boxed{700}$ animals.", "answer": {"result": 700}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total cost of 4 packs of bagels without the discount:\n\nCost per pack = $10.00\nNumber of packs = 4\nTotal cost without discount = Cost per pack * Number of packs\nTotal cost without discount = $10.00 * 4 = $40.00\n\nNow, let's calculate the discount amount:\n\nDiscount percentage = 10%\nDiscount amount = Total cost without discount * Discount percentage\nDiscount amount = $40.00 * 0.10 = $4.00\n\nSubtract the discount from the total cost to find the final cost after the discount:\n\nFinal cost = Total cost without discount - Discount amount\nFinal cost = $40.00 - $4.00 = $36.00\n\nNow, let's find out how many bagels Russell gets for $36.00:\n\nNumber of bagels per pack = 9\nTotal number of bagels = Number of packs * Number of bagels per pack\nTotal number of bagels = 4 * 9 = 36\n\nFinally, let's calculate the cost per bagel:\n\nCost per bagel = Final cost / Total number of bagels\nCost per bagel = $36.00 / 36\nCost per bagel = $1.00\n\nSo, after ordering 4 packs of bagels with a 10% discount, each single bagel will cost $\\boxed{\\$1.00}$ .", "answer": {"result": 1}}, "matches": true} +{"solution": {"solution": "Gomer ate 5 less than 23 scoops of mashed potatoes, so he ate 23 - 5 = 18 scoops of mashed potatoes.\nIt takes 3 less than 6 potatoes to make 1 less than 3 scoops of mashed potatoes, so it takes 6 - 3 = 3 potatoes to make 3 - 1 = 2 scoops of mashed potatoes.\nTherefore, Gomer ate 18 scoops of mashed potatoes, and since it takes 3 potatoes to make 2 scoops, he ate 18 * 3 = 54 potatoes.\n#### 54\nThe answer is: 54", "answer": {"result": 5}}, "matches": false} +{"solution": {"solution": "First, let's calculate how many eggs Chester eats in 30 days eating 3 eggs a day:\n\n3 eggs/day * 30 days = 90 eggs\n\nNext, let's calculate how many eggs he eats in the next 30 days eating 5 eggs a day:\n\n5 eggs/day * 30 days = 150 eggs\n\nNow, let's add the two amounts to find out how many eggs Chester eats in 60 days:\n\n90 eggs + 150 eggs = 240 eggs\n\nSince a dozen is 12 eggs, we can find out how many dozens Chester needs by dividing the total number of eggs by 12:\n\n240 eggs / 12 eggs/dozen = 20 dozens\n\nChester will need $\\boxed{20}$ dozens of eggs for 60 days.", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "Jess sees 17 green jellybeans in the jar. Since there are twice as many red jellybeans as green, there are 17 * 2 = 34 red jellybeans. \n\nNow, let's find out how many jellybeans are not blue. We know there are 17 green jellybeans and 34 red jellybeans, so there are 17 + 34 = 51 jellybeans that are either green or red.\n\nSince there are 60 jellybeans in total, we can find the number of blue jellybeans by subtracting the number of green and red jellybeans from the total: 60 - 51 = 9 blue jellybeans. \n\nSo, there are $\\boxed{9}$ blue jellybeans in the jar.The answer is: 9", "answer": {"result": 9}}, "matches": true} +{"solution": {"solution": "Tim grows 5 trees, and each year he collects 6 lemons from each tree. \n\nSo, in one year, he collects 5 trees * 6 lemons/tree = 30 lemons.\n\nIn a decade, there are 10 years. \n\nTherefore, in a decade, he collects 30 lemons/year * 10 years = 300 lemons. \n\n#### 300\nThe answer is: 300", "answer": {"result": 300}}, "matches": true} +{"solution": {"solution": "1. The initial ratio of men to women on the bus is given as \\(5:9\\). This means for every 5 men, there are 9 women.\n2. To find the total parts in this ratio, we sum the parts:\n \\[\n 5 + 9 = 14\n \\]\n3. The problem states that the total number of passengers on the bus is 84. We need to find out how many passengers correspond to each part of the ratio. We divide the total number of passengers by the total parts:\n \\[\n \\frac{84}{14} = 6\n \\]\n This means that each part of the ratio corresponds to 6 passengers.\n\n4. We know the initial number of women on the bus is 9 parts of the ratio. Therefore, the initial number of women is:\n \\[\n 9 \\times 6 = 54\n \\]\n5. The problem states that 20 women leave the bus at the next stop. Thus, the number of remaining women is:\n \\[\n 54 - 20 = 34\n \\]\n\n### Conclusion:\nThe number of women remaining on the bus is \\(\\boxed{34}\\).", "answer": {"result": 34}}, "matches": true} +{"solution": {"solution": "\n\nFaraday earns $26 from selling sunflowers and $56 from selling bouquets per day, so his total earnings per day are $26 + $56 = $82.\n\nIf each bouquet has 12 sunflowers and he earns $56 from selling bouquets, then each bouquet is sold for $56 / 12 = $4.67.\n\nSince the cost of each sunflower is $2, the profit from selling each bouquet is $4.67 - ($2 * 12) = $4.67 - $24 = -$19.33.\n\nHowever, since Faraday earned $56 from selling bouquets, this means that he must have sold 56 / 4.67 = 12 bouquets.\n\nSince each bouquet contains 12 sunflowers, Faraday sold 12 * 12 = 144 sunflowers in a day.\n\nAfter 3 days, Faraday would have sold 144 * 3 = $\\boxed{432}$ sunflowers.\n\nAnswer: #### 432", "answer": {"result": 432}}, "matches": false} +{"solution": {"solution": "Adam has $100 to spend on rocks, and each rock costs $5 to buy. So, he can buy 100/5 = 20 rocks with his money.\n\nAdam sells each rock for $7, but he only sells 60% of his inventory. To find out how many rocks he sells, we calculate 60% of 20: 20 * 0.60 = 12 rocks.\n\nHe sells each rock for $7, so his total revenue from selling rocks is 12 * 7 = $84.\n\nAdam initially had $100, and he spent $5 * 20 = $100 on rocks. Since he sells all the rocks he buys, he makes $84 from selling 12 rocks.\n\nTo find out how much money he loses, we subtract the revenue from the initial investment: $100 - $84 = $16.\n\nAdam loses $16 from his initial investment.\n\nThe final answer is $\\boxed{16}$.", "answer": {"result": 16}}, "matches": true} +{"solution": {"solution": "\nTo find out how many days it will take Lauren to complete the project, we need to calculate the total number of picture scenes she needs to draw and then divide that by her daily drawing capacity for each size of picture scene.\n\nFirst, let's calculate the total number of large-sized, medium-sized, and small-sized picture scenes:\n\nLarge-sized: 45\nMedium-sized: 36\nSmall-sized: 49\n\nTotal picture scenes = 45 + 36 + 49 = 130\n\nNow, let's calculate the daily drawing capacity for each size of picture scene:\n\nLarge-sized: 5 scenes per day\nMedium-sized: 6 scenes per day\nSmall-sized: 7 scenes per day\n\nTo find out how many days it will take to complete all the large-sized picture scenes, we divide the total number of large-sized scenes by her daily capacity:\n\nDays for large-sized scenes = 45 / 5 = 9 days\n\nSimilarly, for the medium-sized scenes:\n\nDays for medium-sized scenes = 36 / 6 = 6 days\n\nAnd for the small-sized scenes:\n\nDays for small-sized scenes = 49 / 7 = 7 days\n\nNow, we need to find the maximum number of days required, which is the maximum of the three calculated days:\n\nMaximum days = max(9, 6, 7) = 9 days\n\nTherefore, it will take Lauren $\\boxed{9}$ days to complete the project.", "answer": {"result": 9}}, "matches": false} +{"solution": {"solution": "First, calculate the total number of eggs Chatty prepared:\n- She prepared three dozen eggs.\n- Since one dozen equals 12 eggs, three dozen equates to \\(3 \\times 12 = 36\\) eggs.\n\nNext, determine how many eggs each child receives:\n- There are four children.\n- Dividing the total number of eggs by the number of children: \\(36 \\div 4 = 9\\).\n\nThus, each child receives $\\boxed{9}$ eggs.The answer is: 9", "answer": {"result": 9}}, "matches": true} +{"solution": {"solution": "To calculate the total amount Jen spends on fish food in the month of May, we follow these steps:\n\n1. First, determine the daily food cost for all fish. Since each fish needs $1 worth of food daily, for 3 fish, the daily cost is:\n\\[3 \\times 1 = \\$3\\]\n\n2. Next, calculate the total food cost for the month of May. May has 31 days, so the total cost for the month is:\n\\[31 \\times 3 = \\$93\\]\n\nTherefore, the total amount Jen spends on food for her fish in the month of May is $\\boxed{\\$93}$.", "answer": {"result": 93}}, "matches": true} +{"solution": {"solution": "Patricia started with 30 roses and gave away 24 to her mother, so she had:\n\n30 - 24 = 6 roses left.\n\nThen she bought 15 more roses, so she added:\n\n6 + 15 = 21 roses.\n\nTherefore, Patricia now has $\\boxed{21}$ roses.", "answer": {"result": 21}}, "matches": true} +{"solution": {"solution": "To find Sid's average speed, we need to calculate the total distance traveled and divide it by the total time taken.\n\nThe total distance traveled is 110 miles + 140 miles = 250 miles.\n\nThe total time taken is 2 hours + 3 hours = 5 hours.\n\nNow, we can calculate the average speed by dividing the total distance by the total time:\n\nAverage speed = Total distance / Total time\nAverage speed = 250 miles / 5 hours\nAverage speed = 50 miles per hour\n\nSo, Sid's average speed was $\\boxed{50}$ miles per hour.The answer is: 50", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "\nTo solve this problem, let's break it down step by step:\n\n1. **Identify the probabilities of winning for each ticket:**\n - The first ticket has a 20% chance of winning.\n - The second ticket is three times more likely to win than the first ticket. Therefore, the probability of winning for the second ticket is $3 \\times 20\\% = 60\\%$.\n\n2. **Determine the probability of both tickets winning:**\n - Since the events (winning the first ticket and winning the second ticket) are independent, the probability of both events happening is the product of their individual probabilities.\n\n3. **Calculate the combined probability:**\n - Probability of both tickets winning = Probability of the first ticket winning $\\times$ Probability of the second ticket winning\n - $= 20\\% \\times 60\\%$\n - $= 0.20 \\times 0.60$\n - $= 0.12$\n\n4. **Convert the combined probability to a percentage:**\n - To express the combined probability as a percentage, we multiply by 100.\n - $0.12 \\times 100\\% = 12\\%$\n\nTherefore, the probability that both tickets are winners is $\\boxed{12\\%}$.\n\nAnswer: 12", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "Carrey collected \\( \\frac{27 - 5}{2} = 11 \\) seashells.\n\nCarlos collected \\( 11 \\times 2 = 22 \\) seashells.\n\nTogether, they collected \\( 27 + 22 + 11 = 60 \\) seashells.\n\nDividing these equally among the three gives each person \\( \\frac{60}{3} = 20 \\) seashells.\n\nSo, each person got \\( \\boxed{20} \\) seashells.The answer is: 20", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "Mason eats 4 carrots each on weekdays, so he eats 4 carrots x 5 weekdays = 20 carrots on weekdays.\nHe eats 5 carrots each on Saturday and Sunday, so he eats 5 carrots x 2 days = 10 carrots on weekends.\nTherefore, Mason eats a total of 20 carrots + 10 carrots = 30 carrots in a week.\n#### 30\nThe answer is: 30", "answer": {"result": 30}}, "matches": true} +{"solution": {"solution": "The first song is 5 minutes long.\n\nThe second song is 60% longer than the first song, which means it is 5 minutes + 60% of 5 minutes.\n\n60% of 5 minutes is (60/100) * 5 = 3 minutes.\n\nSo the second song is 5 minutes + 3 minutes = 8 minutes long.\n\nTo find the total time of the cassette, we add the length of the first song to the length of the second song:\n\n5 minutes (first song) + 8 minutes (second song) = 13 minutes.\n\nTherefore, the total cassette time is $\\boxed{13}$ minutes.", "answer": {"result": 13}}, "matches": true} +{"solution": {"solution": "Linus bought 2 devices last Monday and 4 devices last Tuesday, so he bought a total of 2 + 4 = 6 devices.\nHe bought each device for $20, so his total cost for all the devices is 6 * $20 = $120.\nHe sells each device for twice the original price, so he sells each device for $20 * 2 = $40.\nHe sold a total of 6 devices, so his total earnings from selling the devices is 6 * $40 = $240.\nTo calculate his profit, we subtract his total cost from his total earnings: $240 - $120 = $120.\nTherefore, Linus was able to earn a profit of $120 after selling all the mobile devices he bought last Monday and Tuesday.\n#### 120\nThe answer is: 120", "answer": {"result": 120}}, "matches": true} +{"solution": {"solution": "First, we need to determine how tall Ned is. Since Ned is two feet shorter than Isabel, and Isabel is 7 feet tall, Ned must be:\n\n7 feet (Isabel's height) - 2 feet = 5 feet (Ned's height)\n\nNext, we need to find out how tall Carl is. Carl is one foot taller than Ned, so:\n\n5 feet (Ned's height) + 1 foot = 6 feet (Carl's height)\n\nFinally, we can determine the length of Carl's cane. The cane is half as long as Carl is tall, so:\n\n6 feet (Carl's height) / 2 = 3 feet (Cane's length)\n\nTherefore, Carl's cane is $\\boxed{3}$ feet long.", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the energy coverage of one bottle of carrot juice:**\n\n Each bottle of carrot juice can cover \\(20\\%\\) of one person's daily energy requirements.\n\n2. **Calculate the number of bottles required to meet one person's daily energy needs:**\n\n To meet 100\\% of a person's daily energy needs, we need:\n \\[\n \\frac{100\\%}{20\\%} = 5 \\text{ bottles per person per day}\n \\]\n\n3. **Calculate the total number of bottles required to meet the energy needs of 2300 people:**\n\n Given that each person requires 5 bottles per day, the total number of bottles needed for 2300 people is:\n \\[\n 2300 \\times 5 = 11500 \\text{ bottles per day}\n \\]\n\n4. **Determine the current production capacity of Hortex:**\n\n Hortex can currently produce 4200 bottles of carrot juice each day.\n\n5. **Calculate the additional number of bottles required to meet the demand:**\n\n The additional bottles needed to reach the daily requirement of 11500 bottles for 2300 people is:\n \\[\n 11500 - 4200 = 7300 \\text{ bottles per day}\n \\]\n\n6. **Conclusion:**\n\n Therefore, Hortex would need to produce an additional 7300 bottles of carrot juice per day to meet the daily energy needs of 2300 people.\n\n \\[\n \\boxed{7300}\n \\]\n\n7. **Additional Problem 1:**\n\n Suppose each bottle of carrot juice makes a profit of 1 leu. To find out how many more bottles of juice Hortex would need to produce to earn an additional 100 lei (100 million lei) in profit:\n\n - First, calculate the profit per bottle:\n \\[\n \\text{Profit per bottle} = 1 \\, \\text{leu}\n \\]\n\n - Next, determine the number of additional bottles required for a profit of 100 million lei:\n \\[\n \\frac{100,000,000 \\, \\text{lei}}{1 \\, \\text{leu/bottle}} = 100,000,000 \\text{ bottles}\n \\]\n\n - Given that the current production is 4200 bottles per day, the number of additional days needed is:\n \\[\n \\frac{100,000,000}{4200} \\approx 23,809.52 \\text{ days}\n \\]\n\n - Since Hortex cannot produce a fraction of a day, it needs to round up to the nearest whole day:\n \\[\n \\lceil 23,809.52 \\rceil = 23,810 \\text{ days}\n \\]\n\n - Therefore, Hortex would need to produce an additional 100,000,000 bottles over 23,810 days.\n\n \\[\n \\boxed{23,810}\n \\]\n\n8. **Additional Problem 2:**\n\n Given:\n - 100,000 people living in a region.\n - Hortex can currently produce 4200 bottles of carrot juice per day.\n - Each bottle covers \\(20\\%\\) of one person\u2019s daily energy needs.\n - To meet 100\\% of a person's daily energy needs, 5 bottles are required.\n\n To find out how many more bottles of juice Hortex would need to produce to meet the daily energy needs of 100,000 people:\n \n - First, calculate the number of bottles needed to meet one person's daily energy needs:\n \\[\n \\frac{5 \\, \\text{bottles}}{1 \\, \\text{person}}\n \\]\n\n - Next, calculate the total number of bottles needed for 100,000 people:\n \\[\n 100,000 \\times 5 = 500,000 \\text{ bottles per day}\n \\]\n\n - Determine the additional bottles needed:\n \\[\n 500,000 - 4200 = 495,800 \\text{ bottles per day}\n \\]\n\n - Calculate the number of days required to produce the additional bottles:\n \\[\n \\frac{495,800}{4200} \\approx 118.0476 \\text{ days}\n \\]\n\n - Since Hortex cannot produce a fraction of a day, round up to the nearest whole day:\n \\[\n \\lceil 118.0476 \\rceil = 119 \\text{ days}\n \\]\n\n - Therefore, Hortex would need to produce an additional 495,800 bottles over 119 days.\n\n \\[\n \\boxed{119}\n \\]\n\n9. **Additional Problem 3:**\n\n Given:\n - Hortex currently produces 4200 bottles per day.\n - Each bottle makes a profit of 1 leu.\n - The company wants to increase its daily profit by 100 lei.\n\n To find out the additional number of bottles Hortex needs to produce:\n\n - First, calculate the current daily profit:\n \\[\n 4200 \\times 1 = 4200 \\, \\text{lei/day}\n \\]\n\n - Next, determine the target profit:\n \\[\n 4200 + 100 = 4300 \\, \\text{lei/day}\n \\]\n\n - Calculate the additional bottles required to reach the target profit:\n \\[\n \\frac{4300}{1} = 4300 \\text{ bottles/day}\n \\]\n\n - Find the difference in the number of bottles:\n \\[\n 4300 - 4200 = 100 \\text{ bottles/day}\n \\]\n\n - Therefore, Hortex would need to produce an additional 100 bottles per day to increase its profit by 100 lei.\n\n \\[\n \\boxed{100}\n \\]\n\n10. **Additional Problem 4:**\n\n Given:\n - Hortex currently produces 4200 bottles per day.\n - Each bottle makes a profit of 1 leu.\n - The company's daily profit needs to be increased by 100 lei.\n\n To find out the percentage increase in the number of bottles produced:\n\n - First, calculate the current daily profit:\n \\[\n 4200 \\times 1 = 4200 \\, \\text{lei/day}\n \\]\n\n - Next, determine the target daily profit:\n \\[\n 4200 + 100 = 4300 \\, \\text{lei/day}\n \\]\n\n - Calculate the additional bottles required:\n \\[\n \\frac{4300}{1} = 4300 \\text{ bottles/day}\n \\]\n\n - Find the percentage increase in bottles:\n \\[\n \\frac{4300 - 4200}{4200} \\times 100\\% = \\frac{100}{4200} \\times 100\\% \\approx 2.381\\%\n \\]\n\n - Therefore, Hortex would need to increase its production by approximately 2.381%.\n\n \\[\n \\boxed{2.381\\%}\n \\]\n\n11. **Additional Problem 5:**\n\n Given:\n - Hortex currently produces 4200 bottles per day.\n - Each bottle makes a profit of 1 leu.\n - The company's daily profit needs to be increased by 100 lei.\n\n To find out by how much Hortex's daily production capacity needs to increase:\n\n - First, calculate the current daily profit:\n \\[\n 4200 \\times 1 = 4200 \\, \\text{lei/day}\n \\]\n\n - Next, determine the target daily profit:\n \\[\n 4200 + 100 = 4300 \\, \\text{lei/day}\n \\]\n\n - Calculate the additional bottles required:\n \\[\n \\frac{4300}{1} = 4300 \\text{ bottles/day}\n \\]\n\n - Find the percentage increase in production:\n \\[\n \\frac{4300 - 4200}{4200} \\times 100\\% = \\frac{100}{4200} \\times 100\\% \\approx 2.381\\%\n \\]\n\n - Therefore, Hortex's daily production capacity needs to increase by approximately 2.381%.\n\n \\[\n \\boxed{2.381\\%}\n \\]\n\n12. **Additional Problem 6:**\n\n Given:\n - Hortex currently produces 4200 bottles per day.\n - Each bottle makes a profit of 1 leu.\n - The company's daily profit needs to be increased by 100 lei.\n\n To find out the new daily production capacity in bottles:\n\n - First, calculate the current daily profit:\n \\[\n 4200 \\times 1 = 4200 \\, \\text{lei/day}\n \\]\n\n - Next, determine the target daily profit:\n \\[\n 4200 + 100 = 4300 \\, \\text{lei/day}\n \\]\n\n - Calculate the additional bottles required:\n \\[\n \\frac{4300}{1} = 4300 \\text{ bottles/day}\n \\]\n\n - Therefore, Hortex's new daily production capacity is 4300 bottles.\n\n \\[\n \\boxed{4300}\n \\]\n\n13. **Additional Problem 7:**\n\n Given:\n - Hortex currently produces 4200 bottles per day.\n - Each bottle makes a profit of 1 leu.\n - The company's daily profit needs to be increased by 100 lei.\n\n To find out the new daily profit in lei:\n\n - First, calculate the current daily profit:\n \\[\n 4200 \\times 1 = 4200 \\, \\text{lei/day}\n \\]\n\n - Next, determine the target daily profit:\n \\[\n 4200 + 100 = 4300 \\, \\text{lei/day}\n \\]\n\n - Therefore, the new daily profit is 4300 lei.\n\n \\[\n \\boxed{4300}\n \\]\n\n14. **Additional Problem 8:**\n\n Given:\n - Hortex currently produces 4200 bottles per day.\n - Each bottle makes a profit of 1 leu.\n - The company's daily profit needs to be increased by 100 lei.\n\n To find out the new daily profit in lei:\n\n - First, calculate the current daily profit:\n \\[\n 4200 \\times 1 = 4200 \\, \\text{lei/day}\n \\]\n\n - Next, determine the target daily profit:\n \\[\n 4200 + 100 = 4300 \\, \\text{lei/day}\n \\]\n\n - Therefore, the new daily profit is 4300 lei.\n\n \\[\n \\boxed{4300}\n \\]\n\n15. **Additional Problem 9:**\n\n Given:\n - Hortex currently produces 4200 bottles per day.\n - Each bottle makes a profit of 1 leu.\n - The company's daily profit needs to be increased by 100 lei.\n\n To find out the new daily profit in lei:\n\n - First, calculate the current daily profit:\n \\[\n 4200 \\times 1 = 4200 \\, \\text{lei/day}\n \\]\n\n - Next, determine the target daily profit:\n \\[\n 4200 + 100 = 4300 \\, \\text{lei/day}\n \\]\n\n - Therefore, the new daily profit is 4300 lei.\n\n \\[\n \\boxed{4300}\n \\]\n\n16. **Additional Problem 10:**\n\n Given:\n - Hortex currently produces 4200 bottles per day.\n - Each bottle makes a profit of 1 leu.\n - The company's daily profit needs to be increased by 100 lei.\n\n To find out the new daily profit in lei:\n\n - First, calculate the current daily profit:\n \\[\n 4200 \\times 1 = 4200 \\, \\text{lei/day}\n \\]\n\n - Next, determine the target daily profit:\n \\[\n 4200 + 100 = 4300 \\, \\text{lei/day}\n \\]\n\n - Therefore, the new daily profit is 4300 lei.\n\n \\[\n \\boxed{4300}\n \\]\n\n17. **Additional Problem 11:**\n\n Given:\n - Hortex currently produces 4200 bottles per day.\n - Each bottle makes a profit of 1 leu.\n - The company's daily profit needs to be increased by 100 lei.\n\n To find out the new daily profit in lei:\n\n - First, calculate the current daily profit:\n \\[\n 4200 \\times 1 = 4200 \\, \\text{lei/day}\n \\]\n\n - Next, determine the target daily profit:\n \\[\n 4200 + 100 = 4300 \\, \\text{lei/day}\n \\]\n\n - Therefore, the new daily profit is 4300 lei.\n\n \\[\n \\boxed{4300}\n \\]\n\n18. **Additional Problem 12:**\n\n Given:\n - Hortex currently produces 4200 bottles per day.\n - Each bottle makes a profit of 1 leu.\n - The company's daily profit needs to be increased by 100 lei.\n\n To find out the new daily profit in lei:\n\n - First, calculate the current daily profit:\n \\[\n 4200 \\times 1 = 4200 \\, \\text{lei/day}\n \\]\n\n - Next, determine the target daily profit:\n \\[\n 4200 + 100 = 4300 \\, \\text{lei/day}\n \\]\n\n - Therefore, the new daily profit is 4300 lei.\n\n \\[\n \\boxed{4300}\n \\]\n\n19. **Additional Problem 13:**\n\n Given:\n - Hortex currently produces 4200 bottles per day.\n - Each bottle makes a profit of 1 leu.\n - The company's daily profit needs to be increased by 100 lei.\n\n To find out the new daily profit in lei:\n\n - First, calculate the current daily profit:\n \\[\n 4200 \\times 1 = 4200 \\, \\text{lei/day}\n \\]\n\n - Next, determine the target daily profit:\n \\[\n 4200 + 100 = 4300 \\, \\text{lei/day}\n \\]\n\n - Therefore, the new daily profit is 4300 lei.\n\n \\[\n \\boxed{4300}\n \\]\n\n20. **Additional Problem 14:**\n\n Given:\n - Hortex currently produces 4200 bottles per day.\n - Each bottle makes a profit of 1 leu.\n - The company's daily profit needs to be increased by 100 lei.\n\n To find out the new daily profit in lei:\n\n - First, calculate the current daily profit:\n \\[\n 4200 \\times 1 = 4200 \\, \\text{lei/day}\n \\]\n\n - Next, determine the target daily profit:\n \\[\n 4200 + 100 = 4300 \\, \\text{lei/day}\n \\]\n\n - Therefore, the new daily profit is 4300 lei.\n\n \\[\n \\boxed{4300}\n \\]\n\n1. **Conclusion:**\n\nThe answers to the additional problems are boxed as follows:\n\n\\[\n\\boxed{7300}, \\quad \\boxed{23,810}, \\quad \\boxed{100}, \\quad \\boxed{2.381\\%}, \\quad \\boxed{4300}, \\quad \\boxed{4300}, \\quad \\boxed{4300}, \\quad \\boxed{4300}, \\quad \\boxed{4300}, \\quad \\boxed{4300}, \\quad \\boxed{4300}, \\quad \\boxed{4300}, \\quad \\boxed{4300}, \\quad \\boxed{4300}, \\quad \\boxed{4300}\n\\]\n\nThese solutions were verified for correctness and consistency.\n\n7300 23,810 100 2.381% 4300 4300 4300 4300 4300 4300 4300 4300 4300 4300 4300", "answer": {"result": -7300}}, "matches": false} +{"solution": {"solution": "First, let's determine how many babies are wearing purple and blue.\n\nCarla has 8 identical octuplets, so:\n- 3/4 of 8 is 6 babies in purple.\n- 1/4 of 8 is 2 babies in blue.\n\nNow, let's find out how many of the purple-wearing babies are also wearing bows:\n- 1/3 of the 6 purple-wearing babies are wearing bows, which is 6 * 1/3 = 2 babies.\n\nNext, we know that all 2 babies wearing blue are also wearing bows.\n\nIn total, 2 (blue-wearers with bows) + 2 (purple-wearers with bows) = 4 babies are wearing bows.\n\nNow, we need to find the percentage chance that a baby wearing a bow is wearing purple. We can do this by dividing the number of purple-wearing babies with bows by the total number of babies with bows and then multiplying by 100 to get the percentage.\n\n(2 purple-wearing babies with bows) / (4 babies with bows) = 1/2 = 0.5\n\n0.5 * 100 = 50%\n\nSo, the percentage chance that a baby wearing a bow is wearing purple is $\\boxed{50\\%}$ .", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "To find out how many reports were received on Wednesday, we first need to calculate the total number of reports received on Monday, Tuesday, Thursday, and Friday.\n\nFrom the information given:\n- Monday and Tuesday reports combined: $1907$\n- Thursday and Friday reports combined: $2136$\n\nAdding these together gives us the total reports received on those four days:\n\\[1907 + 2136 = 4043\\]\n\nWe know the total number of reports received last week was $5168$. To find out how many were received on Wednesday, we subtract the total reports for the four days from the overall weekly total:\n\\[5168 - 4043 = 1125\\]\n\nTherefore, the number of reports received on Wednesday is $\\boxed{1125}$.The answer is: 1125", "answer": {"result": 1125}}, "matches": true} +{"solution": {"solution": "\n\nAbraham sold half of his land, which is 80/2 = 40 square meters, for $50.\n\nAfter selling 40 square meters, he had 80 - 40 = 40 square meters remaining.\n\nHe then sold 1/4 of his remaining land, which is 40/4 = 10 square meters, for $30.\n\nAfter selling 10 square meters, he had 40 - 10 = 30 square meters remaining.\n\nHe sold the remaining 30 square meters for $3 per square meter, so he earned 30 * $3 = $90.\n\nIn total, Abraham earned $50 + $30 + $90 = $170 after selling all his unused land.\n\n#### 170\nThe answer is: 170", "answer": {"result": 170}}, "matches": true} +{"solution": {"solution": "Half the age of Haley is 26/2 = 13 years.\nGeb is 10 less than half the age of Haley, so Geb is 13 - 10 = 3 years old.\n#### 3\nThe answer is: 3", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "If Tyrion changes his face mask two times every time he goes out, and he goes out three times a day, then he uses 2 face masks per day. \n\nTo find out how many face masks he uses every 2 days, we simply multiply the number of face masks used in one day by 2:\n\n2 face masks/day * 2 days = $\\boxed{4}$ face masks.", "answer": {"result": 4}}, "matches": false} +{"solution": {"solution": "To solve this problem, we start by understanding the distribution of eggs found by each person:\n\n1. Lamar finds 5 eggs.\n2. Stacy finds twice as many as Lamar, which means Stacy finds $2 \\times 5 = 10$ eggs.\n3. Charlie finds 2 less than Stacy, so Charlie finds $10 - 2 = 8$ eggs.\n4. Mei finds half as many as Charlie, which means Mei finds $\\frac{1}{2} \\times 8 = 4$ eggs.\n\nTo find the total number of eggs found by these four people, we add their individual findings:\n\n\\[5 + 10 + 8 + 4 = 27\\]\n\nSince Cole hid 3 dozen eggs in total, and 1 dozen equals 12 eggs, the total number of eggs hidden is $3 \\times 12 = 36$ eggs.\n\nTo find out how many eggs are still hidden, we subtract the total number of found eggs from the total number of hidden eggs:\n\n\\[36 - 27 = 9\\]\n\nTherefore, the number of eggs still hidden in the yard is $\\boxed{9}$.", "answer": {"result": 9}}, "matches": true} +{"solution": {"solution": "\nThe first two apartment complexes have 200 apartments each, so together they have 200 + 200 = 400 apartments. \n\nThe third apartment complex is 60% bigger than the other two combined, so it has 60/100 * 400 = 240 more apartments. \n\nTherefore, the third apartment complex has 400 + 240 = 640 apartments. \n\nIn total, John collects garbage from 400 + 640 = 1040 apartments. \n\nHe collects garbage 3 times a week, so he makes 1040 * 3 = 3120 collections in a week. \n\nHe gets paid $.40 per collection, so he makes 3120 * $.40 = $1248 in a week. \n\n#### 1248\nThe answer is: 1248", "answer": {"result": 1248}}, "matches": true} +{"solution": {"solution": "\n1. **Establish the initial production:**\n A 5-year-old avocado tree produces 50 fruits. Therefore, the initial production amount is denoted as:\n $$\n 50 \\text{ fruits}\n $$\n\n2. **Calculate the production for the 6th year:**\n A 6-year-old tree produces 3 times the initial amount, so:\n $$\n 3 \\times 50 = 150 \\text{ fruits}\n $$\n\n3. **Calculate the production for the 7th year:**\n A 7-year-old tree produces 7 times the initial amount, so:\n $$\n 7 \\times 50 = 350 \\text{ fruits}\n $$\n\n4. **Calculate the production for the 8th year:**\n An 8-year-old tree produces 200 fruits less than a 10-year-old tree. First, let's find the production of a 10-year-old tree:\n A 10-year-old tree produces 20 times the initial amount:\n $$\n 20 \\times 50 = 1000 \\text{ fruits}\n $$\n Therefore, an 8-year-old tree produces:\n $$\n 1000 - 200 = 800 \\text{ fruits}\n $$\n\n5. **Sum the known productions for the first 8 years:**\n Sum the production from each year:\n $$\n 50 + 150 + 350 + 800 = 1350 \\text{ fruits}\n $$\n\n6. **Determine the production for the 9th year:**\n The avocado tree does not produce fruit during the 9th year.\n\n7. **Determine the production for the 10th year:**\n The 10-year-old tree produces 20 times the initial amount:\n $$\n 20 \\times 50 = 1000 \\text{ fruits}\n $$\n\n8. **Sum the total production over the 10 years:**\n Add the production from all years:\n $$\n 1350 + 0 + 1000 = 2350 \\text{ fruits}\n $$\n\n### Conclusion:\nThe total number of fruits an avocado tree can produce over its 10 years is:\n$$\n\\boxed{2350}\n$$", "answer": {"result": 2350}}, "matches": true} +{"solution": {"solution": "\nSophia gave Jack 1/5 of her $100, which is (1/5) * $100 = $20. \nSo Jack now has $100 + $20 = $120. \n#### 120\nThe answer is: 120", "answer": {"result": 120}}, "matches": true} +{"solution": {"solution": "\n1. Let the length of the blue rope be $b$ cm.\n2. According to the problem, the red rope is four times the length of the blue rope. Thus, the length of the red rope is $4b$ cm.\n\n3. The yellow rope is 7 cm longer than the blue rope. Therefore, the length of the yellow rope is $b + 7$ cm.\n\n4. The combined length of all three ropes is given as 37 cm. We can set up the equation:\n \\[\n b + 4b + (b + 7) = 37\n \\]\n\n5. Simplify the equation:\n \\[\n b + 4b + b + 7 = 37\n \\]\n \\[\n 6b + 7 = 37\n \\]\n\n6. Isolate the term with $b$:\n \\[\n 6b = 37 - 7\n \\]\n \\[\n 6b = 30\n \\]\n\n7. Solve for $b$:\n \\[\n b = \\frac{30}{6}\n \\]\n \\[\n b = 5\n \\]\n\n8. Now, substitute $b = 5$ back into the expression for the length of the red rope:\n \\[\n \\text{Length of the red rope} = 4b = 4 \\times 5\n \\]\n \\[\n \\text{Length of the red rope} = 20 \\, \\text{cm}\n \\]\n\n### Conclusion:\n\nThe length of the red rope is:\n\\[\n\\boxed{20}\n\\]", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "If Rissa was given thrice as much money as Ronnie, she was given 3 * $5 = $15.\n\nAfter giving an equal amount to their little sister, Rissa has 4/5 of her money left, which means she has 4/5 * $15 = $12 left.\n\nRissa originally had $15, and she is left with $12 after giving money to her sister. Therefore, she gave away $15 - $12 = $3 to her sister.\n\nSince Ronnie and Rissa gave an equal amount to their sister, Ronnie also gave $3 to her sister.\n\nRonnie originally had $5, so after giving $3 to her sister, she has $5 - $3 = $2 left.\n\nRonnie has $\\boxed{\\$2}$ left in her money.The answer is: 2", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "I need to find out how many pints of red paint were used, so I'll start by figuring out how many pints of yellow paint were used. The problem says that half the mural is yellow, so that means 12/2 = 6 pints of yellow paint were used. That leaves 12 - 6 = 6 pints of red, white, and purple paint combined. The problem also says that there are equal amounts of red, white, and purple paint, so that means each of them used 6/3 = 2 pints. Therefore, 2 pints of red paint were used.", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "First, let's calculate the area of one bedroom:\n\nArea of one bedroom = length \u00d7 width\nArea of one bedroom = 20 feet \u00d7 12 feet\nArea of one bedroom = 240 square feet\n\nSince Tom has 4 bedrooms, we multiply the area of one bedroom by 4 to find the total area of the bedrooms:\n\nTotal area of bedrooms = 4 \u00d7 area of one bedroom\nTotal area of bedrooms = 4 \u00d7 240 square feet\nTotal area of bedrooms = 960 square feet\n\nThe living room is 5 times bigger than one bedroom, so its area is:\n\nArea of living room = 5 \u00d7 area of one bedroom\nArea of living room = 5 \u00d7 240 square feet\nArea of living room = 1200 square feet\n\nNow, we add the area of the bedrooms and the living room to find the area of the house up to this point:\n\nTotal area (bedrooms and living room) = total area of bedrooms + area of living room\nTotal area (bedrooms and living room) = 960 square feet + 1200 square feet\nTotal area (bedrooms and living room) = 2160 square feet\n\nThe rest of the house is 1000 square feet, so we add this to the total area we've calculated so far:\n\nTotal area of the house = total area (bedrooms and living room) + area of the rest of the house\nTotal area of the house = 2160 square feet + 1000 square feet\nTotal area of the house = 3160 square feet\n\nTherefore, the total area of Tom's house is $\\boxed{3160}$ square feet.", "answer": {"result": 3160}}, "matches": true} +{"solution": {"solution": "To solve this problem, we'll calculate the number of puffs of clouds Alice counts each day and then sum them up for the entire week.\n\n- On Monday, she counts $3$ puffs of clouds.\n- On Tuesday, she sees double the number of clouds as Monday, which is $3 \\times 2 = 6$ puffs.\n- On Wednesday, the number of clouds doubles again from Tuesday, so it's $6 \\times 2 = 12$ puffs.\n- On Thursday, the number of clouds doubles from Wednesday, leading to $12 \\times 2 = 24$ puffs.\n- On Friday, the number of clouds doubles from Thursday, resulting in $24 \\times 2 = 48$ puffs.\n\nTo find the total number of puffs of clouds Alice counted across all five days, we add the counts from each day:\n\n\\[3 + 6 + 12 + 24 + 48 = 93\\]\n\nTherefore, the total number of puffs of clouds Alice counted across all five days is $\\boxed{93}$.", "answer": {"result": 93}}, "matches": true} +{"solution": {"solution": "1. First, determine the number of pods in the regular box:\n \\[\n 100 \\text{ pods}\n \\]\n\n2. Calculate the number of additional pods in the special-size box:\n \\[\n 20\\% \\text{ of 100 pods} = 0.20 \\times 100 = 20 \\text{ pods}\n \\]\n\n3. Find the total number of pods in the special-size box:\n \\[\n 100 \\text{ pods} + 20 \\text{ pods} = 120 \\text{ pods}\n \\]\n\n4. To determine how many cycles of dishwashing can be run with a single dollar, calculate the number of cycles per pod and then the total cycles with 120 pods:\n \\[\n 1 \\text{ dollar} \\div 12 \\text{ dollars} = 0.0833 \\text{ cycles/dollar}\n \\]\n\n5. Multiply the number of cycles per dollar by the total number of pods to find the total cycles:\n \\[\n 0.0833 \\text{ cycles/dollar} \\times 120 \\text{ pods} = 10 \\text{ cycles}\n \\]\n\nConclusion:\n\\[\n\\boxed{10}\n\\]", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "\nFirst, let's determine how many 20 dollar bills Thomas initially had. Since he withdrew $1000 and each bill is worth $20, we divide $1000 by $20 to get the number of bills:\n\n\\[ \\frac{1000}{20} = 50 \\text{ bills} \\]\n\nNext, we calculate the number of bills Thomas lost. He lost 10 bills, so we subtract these from the total:\n\n\\[ 50 - 10 = 40 \\text{ bills remaining} \\]\n\nHe uses half of these remaining bills to pay a bill, so we divide the remaining bills by 2:\n\n\\[ \\frac{40}{2} = 20 \\text{ bills used} \\]\n\nThis means he has 20 bills left after paying the bill. He then triples his money. Tripling his money means he has three times the amount of bills left:\n\n\\[ 20 \\times 3 = 60 \\text{ bills after tripling} \\]\n\nFinally, Thomas converts all his bills to 5 dollar bills. To find out how many 5 dollar bills he has, we divide the total number of bills by 5:\n\n\\[ \\frac{60}{5} = 12 \\text{ 5 dollar bills} \\]\n\nTherefore, Thomas has $\\boxed{12}$ 5 dollar bills.\n\nAnswer: $\\boxed{12}$", "answer": {"result": 12}}, "matches": false} +{"solution": {"solution": "\n1. Determine the number of goals Team A scores in the first half:\n - Team A scores 4 goals in the first half.\n\n2. Calculate the number of goals Team B scores in the first half:\n - Team B scores 2 goals fewer than Team A.\n - Therefore, Team B scores:\n \\[\n 4 - 2 = 2 \\text{ goals in the first half}\n \\]\n\n3. Determine the number of goals Team B scores in the second half:\n - Team B scores 4 times the number of goals it scored in the first half.\n - Therefore, Team B scores:\n \\[\n 2 \\times 4 = 8 \\text{ goals in the second half}\n \\]\n\n4. Calculate the number of goals Team A scores in the second half:\n - Team A scores \\( \\frac{1}{4} \\) of the number of goals Team B scores in the second half.\n - Therefore, Team A scores:\n \\[\n \\frac{1}{4} \\times 8 = 2 \\text{ goals in the second half}\n \\]\n\n5. Sum the total number of goals scored by Team A:\n - In the first half, Team A scored 4 goals.\n - In the second half, Team A scored 2 goals.\n - Therefore, the total goals scored by Team A is:\n \\[\n 4 + 2 = 6 \\text{ goals}\n \\]\n\n6. Sum the total number of goals scored by Team B:\n - In the first half, Team B scored 2 goals.\n - In the second half, Team B scored 8 goals.\n - Therefore, the total goals scored by Team B is:\n \\[\n 2 + 8 = 10 \\text{ goals}\n \\]\n\n7. Calculate the total number of goals scored in the match:\n - Total goals scored by Team A: 6 goals\n - Total goals scored by Team B: 10 goals\n - Therefore, the total number of goals in the match is:\n \\[\n 6 + 10 = 16 \\text{ goals}\n \\]\n\n### Conclusion:\n\\[\n\\boxed{16}\n\\]", "answer": {"result": 16}}, "matches": true} +{"solution": {"solution": "1. Calculate the amount of chalk used in one day: 45% of 5 inches = \\(0.45 \\times 5 = 2.25\\) inches.\n2. Determine the amount of chalk left after the first day: 5 inches - 2.25 inches = 2.75 inches.\n3. Calculate how much chalk is used each day when adhering to the 20% usage: 20% of 5 inches = \\(0.20 \\times 5 = 1\\) inch.\n4. Determine the number of days before the chalk becomes less than 2 inches:\n - Start with 2.75 inches and subtract 1 inch per day: \\(2.75 - 1 = 1.75\\) inches.\n - Continue the subtraction process: \\(1.75 - 1 = 0.75\\) inches.\n5. Since 0.75 inches is less than 2 inches, the teacher will have to recycle the chalk after 2 days.\n\nConclusion:\nThe teacher has $\\boxed{2}$ days before he needs to recycle this piece of chalk.", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "One-third of the girls on varsity means that $\\frac{1}{3} \\times 12 = 4$ girls are on varsity.\nOne-fourth of the boys on varsity means that $\\frac{1}{4} \\times 12 = 3$ boys are on varsity.\nSo, there are a total of $4 + 3 = 7$ students on varsity.\nThere are a total of $12 + 12 = 24$ students in the class.\nTherefore, $24 - 7 = \\boxed{17}$ students are not on varsity.The answer is: 17", "answer": {"result": 17}}, "matches": true} +{"solution": {"solution": "Mike bought 5 face masks.\n\nThrice as many as Mike's face masks is 3 * 5 = 15 face masks.\n\nJohnny bought 2 more than thrice as many as Mike, so Johnny bought 15 + 2 = 17 face masks.\n\nJohnny bought 17 face masks.\n\n#### 17\nThe answer is: 17", "answer": {"result": 17}}, "matches": true} +{"solution": {"solution": "James' dentist drills 4 teeth.\n\nThe dentist caps 7 more teeth than he drills, so he caps 4 + 7 = 11 teeth.\n\nIn total, the dentist fixes 4 (drilled) + 11 (capped) = 15 teeth.\n\nTo find the percentage of teeth fixed, we divide the number of teeth fixed by the total number of teeth and multiply by 100.\n\nPercentage fixed = (15 / 30) * 100 = 0.5 * 100 = 50%\n\nTherefore, the dentist fixes 50% of James' teeth.\n\nThe answer is: 50", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "1. Determine the amount of milk that expired:\n \\[\n 2/5 \\times 4000 = 1600 \\text{ gallons}\n \\]\n\n2. Calculate the refund amount based on the cost per gallon:\n \\[\n 1600 \\text{ gallons} \\times \\$3.5 \\text{ per gallon} = \\$5600\n \\]\n\n3. Conclusion:\n Mr. Marcellus received a refund of $\\boxed{\\$5600}$.", "answer": {"result": 5600}}, "matches": true} +{"solution": {"solution": "Let's denote Colin's current age as $C$ and Wendy's current age as $W$.\n\nFrom the problem, we can write the following equations:\n1. $W = 5(C + 7)$ (Wendy is five times as old as Colin will be seven years from now)\n2. $C + 25 = \\frac{1}{3}(W)$ (In 25 years, Colin will be a third as old as Wendy is now)\n\nWe need to solve this system of equations to find $C$.\n\nFrom equation 1:\n\\[ W = 5C + 35 \\]\n\nSubstitute $W$ from equation 1 into equation 2:\n\\[ C + 25 = \\frac{1}{3}(5C + 35) \\]\n\\[ 3(C + 25) = 5C + 35 \\]\n\\[ 3C + 75 = 5C + 35 \\]\n\\[ 75 - 35 = 5C - 3C \\]\n\\[ 40 = 2C \\]\n\\[ C = 20 \\]\n\nColin is currently $\\boxed{20}$ years old.The answer is: 20", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "Bob can buy 100 books for $500, so the cost per book is $500/100 = $5. \n\nHe has a total of $27000 to spend, so the number of books he can buy with that amount is $27000 / $5 = 5400 books. \n\nSince the books are distributed between 3 schools, the number of books per school is 5400 / 3 = $\\boxed{1800}$ books. \n\nThe answer is: 1800", "answer": {"result": 1800}}, "matches": true} +{"solution": {"solution": "1. First, Newton picked up two apples. He put one in his pocket and threw the other into the tree, causing 5 more apples to fall. This means he now has 2 (initial) + 5 (fell from the tree) = 7 apples.\n2. He then picked up these 7 apples and put all but one back into his pocket. This leaves him with 1 apple.\n3. He threw this remaining apple at the tree, causing another 6 apples to fall. So, he now has 1 (kept) + 6 (fell) = 7 apples.\n4. Finally, he picked up all the remaining apples and went home. The total number of apples he brought home is 7.\n\nConclusion:\nNewton brought home $\\boxed{7}$ apples.The answer is: 7", "answer": {"result": 7}}, "matches": false} +{"solution": {"solution": "To calculate the total cost of Ali's coal order, we follow these steps:\n\n1. First, we determine the total number of bags needed for 850 kilos of coal. Since each bag contains 50 kilos, the calculation is:\n\\[ \\frac{850 \\, \\text{kilos}}{50 \\, \\text{kilos/bag}} = 17 \\, \\text{bags} \\]\n\n2. Next, we calculate the total cost by multiplying the number of bags by the cost per bag:\n\\[ 17 \\, \\text{bags} \\times \\$18/\\text{bag} = \\$306 \\]\n\nTherefore, the total cost of Ali's coal order is $\\boxed{\\$306}$.", "answer": {"result": 306}}, "matches": true} +{"solution": {"solution": "Kate's 6 friends each eat 6 cheese pizza slices, so they eat a total of 6 x 6 = 36 cheese pizza slices.\nKate's 6 friends each eat 4 pepperoni pizza slices, so they eat a total of 6 x 4 = 24 pepperoni pizza slices.\nTo satisfy the appetite of Kate's 6 friends, she needs to buy enough cheese pizza to have 36 slices and enough pepperoni pizza to have 24 slices.\nA cheese pizza is cut into 12 slices, so Kate needs to buy 36 / 12 = 3 cheese pizzas.\nA pepperoni pizza is cut into 8 slices, so Kate needs to buy 24 / 8 = 3 pepperoni pizzas.\nIn total, Kate needs to buy 3 cheese pizzas + 3 pepperoni pizzas = 6 pizza pies.\n#### 6\nThe answer is: 6", "answer": {"result": 6}}, "matches": true} +{"solution": {"solution": "To calculate the total miles Sam ran in a week, we break down the miles run on each day of the week:\n\n- On Monday, Wednesday, and Friday, Sam ran a total of $3 \\text{ miles/day} \\times 3 \\text{ days} = 9 \\text{ miles}$.\n- On Tuesday and Thursday, Sam ran a total of $5 \\text{ miles/day} \\times 2 \\text{ days} = 10 \\text{ miles}$.\n\nCombining these two totals gives us the total miles Sam ran for the week:\n\n\\[9 \\text{ miles} + 10 \\text{ miles} = 19 \\text{ miles}\\]\n\nTherefore, Sam ran a total of $\\boxed{19}$ miles this week.", "answer": {"result": 19}}, "matches": true} +{"solution": {"solution": "1. Calculate the net increase of snowballs per hour:\n - Jay makes 20 snowballs per hour.\n - 2 snowballs melt every 15 minutes, which is equivalent to 4 snowballs per hour (since \\( \\frac{15 \\text{ minutes}}{60 \\text{ minutes per hour}} \\times 4 \\text{ snowballs} = 2 \\text{ snowballs} \\)).\n - Thus, the net increase per hour is \\( 20 - 4 = 16 \\text{ snowballs per hour} \\).\n\n2. Determine the time required to make 60 snowballs:\n - To make 60 snowballs, starting from 0, we need an increase of 60 snowballs.\n - Given the net increase of 16 snowballs per hour, the required time is \\( \\frac{60 \\text{ snowballs}}{16 \\text{ snowballs per hour}} = 3.75 \\text{ hours} \\).\n\n3. Conclusion:\n - Jay needs \\( \\boxed{3.75} \\) hours to make 60 snowballs.", "answer": {"result": 3.75}}, "matches": false} +{"solution": {"solution": "If John is currently 28 years old, and he was twice as old as Jim 20 years ago, we can work backwards to find Jim's current age.\n\n20 years ago, John was 28 - 20 = 8 years old.\n\nSince John was twice as old as Jim 20 years ago, Jim was 8 / 2 = 4 years old at that time.\n\nTherefore, Jim is currently 4 + 20 = 24 years old. \n\nSo, Jim is $\\boxed{24}$ years old now.", "answer": {"result": 24}}, "matches": true} +{"solution": {"solution": "\n1. **Initial Conditions**:\n - Doxa cut an apple into 8 equal pieces.\n - Doxa ate 1 piece.\n - Her sister ate 1 more piece than Doxa.\n - Her brother ate 1 more piece than her sister.\n\n2. **Calculate the number of pieces each person ate**:\n - Doxa ate 1 piece.\n - Her sister ate \\(1 + 1 = 2\\) pieces (1 piece more than Doxa).\n - Her brother ate \\(2 + 1 = 3\\) pieces (1 piece more than her sister).\n\n3. **Sum of pieces eaten**:\n - Total pieces eaten = Doxa's pieces + Sister's pieces + Brother's pieces\n - Total pieces eaten = \\(1 + 2 + 3 = 6\\) pieces.\n\n4. **Remaining pieces**:\n - Total pieces = 8 (initial pieces)\n - Pieces eaten = 6\n - Remaining pieces = 8 - 6 = 2 pieces\n\n5. **Verification**:\n - Doxa ate 1 piece.\n - Sister ate 2 pieces.\n - Brother ate 3 pieces.\n - Total: \\(1 + 2 + 3 = 6\\) pieces eaten.\n\n6. **Conclusion**:\n - The total number of apple pieces eaten is \\(6\\).\n\n\\[\n\\boxed{6}\n\\]", "answer": {"result": 6}}, "matches": true} +{"solution": {"solution": "\nOn the first day, the nurses used 38 bandages and ordered one bulk pack of 50 bandages. So, they had 50 - 38 = 12 bandages left after the first day.\n\nOn the second day, they used ten fewer bandages than the first day, which means they used 38 - 10 = 28 bandages.\n\nAfter using 28 bandages on the second day, they had 12 - 28 = -16 bandages. However, since they can't have a negative number of bandages, this means they ordered more bandages on the second day to cover the usage.\n\nOn the third day, they ordered two bulk packs of bandages, which is a total of 2 * 50 = 100 bandages. They only used half a pack, which is 50 / 2 = 25 bandages.\n\nAfter using 25 bandages on the third day, they had 100 - 25 = 75 bandages.\n\nThey had 78 bandages left at the end of the third day, which means they used 75 - 78 = -3 bandages on the third day. However, since they can't use a negative number of bandages, this means they must have had 78 + 3 = 81 bandages at the beginning of the third day.\n\nTo find out how many bandages they started with on the first day, we need to add up the bandages they had at the end of the first day (12) and the bandages they used on the second day (28).\n\nSo, they started with 12 + 28 = 40 bandages on the first day.\n\nThe final answer is $\\boxed{40}$ .\n\nAnswer: 40", "answer": {"result": 40}}, "matches": false} +{"solution": {"solution": "May's haircut length is the difference between the starting and ending lengths, which is 10 inches - 8 inches = 2 inches.\n\nThe cost of the haircut is $30 per inch, so for 2 inches, it would be 2 inches * $30/inch = $60.\n\nThe cost of the hair color is a flat rate of $40.\n\nTo find the total cost, we add the cost of the haircut and the hair color: $60 (haircut) + $40 (color) = $100.\n\nTherefore, the total cost for May's cut and color is $\\boxed{\\$100}$ .", "answer": {"result": 100}}, "matches": true} +{"solution": {"solution": "First, let's calculate Jen's weekly earnings. \n\nJen works 7.5 hours a day for 6 days a week, so she works a total of 7.5 * 6 = 45 hours per week.\n\nSince her hourly rate is $1.5, her weekly earnings from her hourly rate alone would be 45 * $1.5 = $67.5.\n\nJen also receives an additional $10 for perfect attendance each week. Since she had complete attendance for the entire month of April, she would receive this additional $10 for each of the 4 weeks in April.\n\nSo, her earnings from the additional $10 per week for perfect attendance would be 4 * $10 = $40.\n\nNow, let's add her weekly earnings from her hourly rate and the additional $10 for perfect attendance to find her total earnings for April.\n\nTotal earnings for April = Weekly earnings from hourly rate * Number of weeks + Additional earnings for perfect attendance\nTotal earnings for April = $67.5 * 4 + $40\nTotal earnings for April = $270 + $40\nTotal earnings for April = $310\n\nJen will receive $\\boxed{\\$310}$ for April, including her hourly rate and the perfect attendance bonus.", "answer": {"result": 310}}, "matches": false} +{"solution": {"solution": "To calculate Jason's total earnings, we'll break down the tasks and their respective earnings:\n\n1. **Dishwasher:** Jason earned $0.50 for each time he emptied the dishwasher. Since he did this 6 times, his earnings from the dishwasher are calculated as:\n \\[\n 6 \\times 0.50 = \\$3.00\n \\]\n\n2. **Laundry:** Jason earned $3.00 for doing his laundry once. Therefore, his earnings from laundry are:\n \\[\n 1 \\times 3.00 = \\$3.00\n \\]\n\n3. **Trash:** For taking the trash to the curb, Jason earned $0.75 each time. He did this twice, so his earnings from the trash are:\n \\[\n 2 \\times 0.75 = \\$1.50\n \\]\n\n4. **Cleaning Room:** Jason earned $1.50 for cleaning his room once. Thus, his earnings from cleaning his room are:\n \\[\n 1 \\times 1.50 = \\$1.50\n \\]\n\nAdding up all his earnings from each task gives us Jason's total earnings:\n\\[\n\\$3.00 + \\$3.00 + \\$1.50 + \\$1.50 = \\$9.00\n\\]\n\nTherefore, Jason earned a total of $\\boxed{\\$9.00}$.", "answer": {"result": 9}}, "matches": true} +{"solution": {"solution": "If each whale has 40 gallons of blood, then a shark has 3 * 40 = 120 gallons of blood.\nIf there are ten sharks, then the total amount of blood they have is 10 * 120 = 1200 gallons.\n#### 1200\nThe answer is: 1200", "answer": {"result": 1200}}, "matches": true} +{"solution": {"solution": "1. **First Group in the Morning**:\n - 50 people entered the restaurant in the morning.\n\n2. **Second Group at 10:00 AM**:\n - Another 40 people entered at 10:00 AM.\n\n \\[\n 50 \\text{ people} + 40 \\text{ people} = 90 \\text{ people}\n \\]\n\n3. **Third Group Ordered Lunch**:\n - Twice the number of people who entered at 10:00 AM.\n\n \\[\n 2 \\times 40 \\text{ people} = 80 \\text{ people}\n \\]\n\n4. **Fourth Group in the Evening**:\n - 3 times the number of people who entered in the morning.\n\n \\[\n 3 \\times 50 \\text{ people} = 150 \\text{ people}\n \\]\n\n5. **Total People Entered**:\n - Summing all the groups:\n\n \\[\n 50 \\text{ people} + 90 \\text{ people} + 80 \\text{ people} + 150 \\text{ people} = 370 \\text{ people}\n \\]\n\n### Conclusion:\nThe total number of people that entered the restaurant on that day is:\n\n\\[\n\\boxed{370}\n\\]", "answer": {"result": 370}}, "matches": false} +{"solution": {"solution": "Alain's mom bought 5 packs of red pens, so she bought a total of 5 x 5 = 25 red pens. \n\nShe also bought twice the amount of black pens than the red, so she bought 25 x 2 = 50 black pens. \n\nIn total, Alain has 25 red pens + 50 black pens = 75 pens. \n\n#### 75\nThe answer is: 75", "answer": {"result": 75}}, "matches": true} +{"solution": {"solution": "\nTo find the total cost of everything John buys, we can break down the problem into two parts: the cost of the scotch and the cost of the cognac.\n\n1. **Calculate the cost per bottle of scotch:**\n John buys 10 bottles of scotch for a total of $600. To find the cost per bottle of scotch, we divide the total cost by the number of bottles.\n \\[\n \\text{Cost per bottle of scotch} = \\frac{\\$600}{10} = \\$60\n \\]\n\n2. **Calculate the cost of the cognac:**\n John buys twice as many bottles of cognac as scotch. Since he bought 10 bottles of scotch, he bought \\(2 \\times 10 = 20\\) bottles of cognac.\n Each bottle of cognac costs 50% more than a bottle of scotch. Therefore, the cost of one bottle of cognac is:\n \\[\n \\text{Cost of one bottle of cognac} = \\$60 \\times 1.5 = \\$90\n \\]\n Now, to find the total cost of the cognac, we multiply the cost per bottle by the number of bottles:\n \\[\n \\text{Total cost of cognac} = \\$90 \\times 20 = \\$1800\n \\]\n\n3. **Calculate the total cost of everything:**\n To find the total amount John spends, we add the total cost of scotch and the total cost of cognac:\n \\[\n \\text{Total cost} = \\$600 + \\$1800 = \\$2400\n \\]\n\nTherefore, the total amount John spends on everything is $\\boxed{\\$2400}$.", "answer": {"result": 2400}}, "matches": true} +{"solution": {"solution": "\nOn the first day, Mr. Julius planted 20 White Oak trees. He planted twice as many Lodgepole Pine trees as White Oak, so he planted 20 * 2 = 40 Lodgepole Pine trees.\n\nOn the second day, Mr. Julius planted 10 more White Oak trees, so he planted 20 + 10 = 30 White Oak trees. He also planted 1/4 more Lodgepole Pine trees than he planted on the first day, so he planted 40 + (40 * 1/4) = 40 + 10 = 50 Lodgepole Pine trees.\n\nIn total, Mr. Julius planted 20 + 40 = 60 White Oak trees and 50 Lodgepole Pine trees on the first day.\n\nOn the second day, he planted 30 White Oak trees and 50 Lodgepole Pine trees.\n\nTherefore, in the two days, Mr. Julius planted 60 + 30 = 90 White Oak trees and 40 + 50 = 90 Lodgepole Pine trees.\n\nThe total number of trees planted by Mr. Julius in the two days is 90 + 90 = 180 trees.\n\n#### 180\nThe answer is: 180", "answer": {"result": 180}}, "matches": false} +{"solution": {"solution": "Fred initially made 24 gallons of root beer and put them in the refrigerator cooler. \n\nOn the first day, his children drank 4 gallons, leaving 24 - 4 = 20 gallons.\n\nOn the second day, Barbie accidentally spilled 7 gallons, leaving 20 - 7 = 13 gallons.\n\nOn the third day, Ronnie drank 5 gallons, leaving 13 - 5 = 8 gallons.\n\nOn the fourth day, 3 people shared the remaining 8 gallons equally. \n\nTo find out how much each person drank, we divide the remaining root beer by the number of people: \n\n8 gallons / 3 people = 2.67 gallons per person.\n\nSince it's not possible to drink a fraction of a gallon at a party, we can assume that each person got as much as possible without going over. Therefore, each person drank 2 gallons, and there was 8 - (2 * 3) = 2 gallons left over.\n\nSo, each person drank 2 gallons of root beer during the party. \n\nThe answer is $\\boxed{2}$ gallons per person.", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "Let's represent the number of coffee mugs in the teacher's lounge as x.\nFour times the number of coffee mugs is 4x.\nEight more than four times the number of coffee mugs is 4x + 8.\nAccording to the problem, 4x + 8 = 40.\nTo solve for x, we subtract 8 from both sides of the equation: 4x = 40 - 8.\nSimplifying, we get 4x = 32.\nTo solve for x, we divide both sides of the equation by 4: x = 32/4.\nSimplifying, we find x = 8.\nTherefore, there are 8 coffee mugs in the teacher's lounge.\n#### 8\nThe answer is: 8", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "One-third of the fish have red stripes, so there are 66/3 = 22 fish with red stripes. \n\nThe remaining fish are 66 - 22 = 44. \n\n5/11 of the remaining fish have blue stripes, so there are 44 * 5/11 = 20 fish with blue stripes. \n\nAltogether, there are 22 + 20 = 42 fish with either red or blue stripes. \n\n#### 42\nThe answer is: 42", "answer": {"result": 42}}, "matches": true} +{"solution": {"solution": "Amy starts with 2 palettes with 4 colors each, so she has 2 * 4 = 8 eyeshadow colors from the palettes.\n\nShe also has 3 makeup sets with 6 eyeshadow colors each, so she has 3 * 6 = 18 eyeshadow colors from the makeup sets.\n\nIn total, Amy has 8 + 18 = 26 eyeshadow colors.\n\nHer sister steals one of the palettes, which is 4 colors, so Amy has 26 - 4 = 22 eyeshadow colors left.\n\nAmy uses up half of the colors from one makeup set, which is 1/2 * 6 = 3 eyeshadow colors.\n\nAfter using up 3 colors, Amy has 22 - 3 = $\\boxed{19}$ eyeshadow colors left.", "answer": {"result": 19}}, "matches": true} +{"solution": {"solution": "Mattison's house is 60 * 7 = 420 inches tall.\nThe first floor is 60 * 3 = 180 inches tall.\nSo, the second floor is 420 - 180 = 240 inches tall.\nTherefore, the roof is 240 inches tall.\nThe answer is 240", "answer": {"result": 240}}, "matches": true} +{"solution": {"solution": "First, let's calculate how many shells team Alphas found. They found 40% of the total shells:\n\n40% of 700 shells = 0.40 * 700 = 280 shells\n\nNow, let's find out how many shells were left after team Alphas found their share:\n\nTotal shells - Shells found by team Alphas = Remaining shells\n700 shells - 280 shells = 420 shells\n\nNext, team The finders found 60% of the remaining shells:\n\n60% of 420 shells = 0.60 * 420 = 252 shells\n\nFinally, to find out how many shells team Gogetters found, we subtract the shells found by team Alphas and team The finders from the total number of shells:\n\nTotal shells - Shells found by team Alphas - Shells found by team The finders = Shells found by team Gogetters\n700 shells - 280 shells - 252 shells = 168 shells\n\nTeam Gogetters found $\\boxed{168}$ shells.", "answer": {"result": 168}}, "matches": true} +{"solution": {"solution": "To find out how many miles the last dog needs, we first calculate the total miles all dogs need to walk per day based on the average. Since there are 4 dogs, and they each need to walk 3 miles per day on average, the total miles required for all dogs per day can be calculated as follows:\n\n- Total miles per day for all dogs = Average miles per dog $\\times$ Number of dogs\n- Total miles per day for all dogs = $3 \\text{ miles/day} \\times 4 \\text{ dogs} = 12 \\text{ miles/day}$\n\nNext, we subtract the known distances from this total to find out how many miles the last dog needs to walk:\n\n- Miles needed by the last dog = Total miles per day for all dogs - (Miles needed by dog 1 + Miles needed by dog 2 + Miles needed by dog 3)\n- Miles needed by the last dog = $12 \\text{ miles/day} - (1 \\text{ mile} + 4 \\text{ miles} + 3 \\text{ miles}) = 12 \\text{ miles/day} - 8 \\text{ miles}$\n- Miles needed by the last dog = $4 \\text{ miles}$\n\nTherefore, the last dog needs to walk $\\boxed{4}$ miles per day.", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "First, let's calculate the loan amount John gets by mortgaging his home. The loan amount is 40% of the house's value, which is $250,000.\n\nLoan amount = 40% of $250,000\nLoan amount = 0.40 * $250,000\nLoan amount = $100,000\n\nNow, let's calculate how much money John uses to pay off his debts. He uses 60% of the loan amount for this purpose.\n\nDebt payment = 60% of $100,000\nDebt payment = 0.60 * $100,000\nDebt payment = $60,000\n\nFinally, let's calculate how much money John had leftover after paying off his debts.\n\nLeftover money = Loan amount - Debt payment\nLeftover money = $100,000 - $60,000\nLeftover money = $40,000\n\nJohn had $\\boxed{\\$40,000}$ leftover after paying off his debts.", "answer": {"result": 40000}}, "matches": true} +{"solution": {"solution": "Deandre caught 3 tunas, and the total weight of the tunas is 56 + 46 + 26 = 128 kilograms.\nSince a kilogram of tuna costs $0.50, Deandre will earn 128 * $0.50 = $64 after selling all the tunas.\n#### 64\nThe answer is: 64", "answer": {"result": 64}}, "matches": true} +{"solution": {"solution": "If Trinity bought the magazines at $72 and sells them at 11/8 of the price, we first need to calculate the selling price. \n\nThe selling price is 11/8 times the cost price:\nSelling Price = Cost Price \u00d7 11/8\nSelling Price = $72 \u00d7 11/8\nSelling Price = $72 \u00d7 1.375\nSelling Price = $99\n\nNow, to find the profit, we subtract the cost price from the selling price:\nProfit = Selling Price - Cost Price\nProfit = $99 - $72\nProfit = $27\n\nTrinity's profit is $\\boxed{\\$27}$ .", "answer": {"result": 27}}, "matches": true} +{"solution": {"solution": "On the low setting, the dehumidifier removes 1 liter of water per day. So, after 3 days on the low setting, it removes 1 liter/day * 3 days = 3 liters of water.\n\nOn the medium setting, the dehumidifier removes twice as much water per day as the low setting, so it removes 2 liters/day * 3 days = 6 liters of water.\n\nOn the high setting, the dehumidifier removes twice as much water per day as the medium setting, so it removes 2 * 2 liters/day = 4 liters of water per day.\n\nAfter 5 days on the high setting, it removes 4 liters/day * 5 days = 20 liters of water.\n\nAdding up the amounts from each setting, the dehumidifier removed a total of 3 liters (low) + 6 liters (medium) + 20 liters (high) = $\\boxed{29}$ liters of water from the air in Brian's basement. The answer is 29", "answer": {"result": 29}}, "matches": true} +{"solution": {"solution": "Jolene and her friends filled up 10 packs of balloons, with each pack containing 30 balloons. So, the total number of balloons they had initially is:\n\n10 packs * 30 balloons/pack = 300 balloons\n\nAt the end of the afternoon, there were 12 balloons left. To find out how many balloons they threw, we subtract the remaining balloons from the initial number of balloons:\n\n300 initial balloons - 12 remaining balloons = 288 balloons thrown\n\nTherefore, they threw $\\boxed{288}$ water balloons.", "answer": {"result": 288}}, "matches": true} +{"solution": {"solution": "1. Saanvi combines 14 mL of the first medicine with 3 times that amount of the second medicine. \n - The amount of the second medicine is \\(3 \\times 14 = 42\\) mL.\n\n2. Calculate the total amount of medicine in one dose:\n - Total per dose = \\(14 \\text{ mL} + 42 \\text{ mL} = 56 \\text{ mL}\\).\n\n3. Determine how much medicine is in 8 doses:\n - Total for 8 doses = \\(8 \\times 56 \\text{ mL} = 448 \\text{ mL}\\).\n\nConclusion:\n- The total amount of medicine in 8 doses is \\(\\boxed{448 \\text{ mL}}\\).", "answer": {"result": 448}}, "matches": true} +{"solution": {"solution": "First, let's determine the capacity of John's two classes. Since each class has 1/8 the capacity of Ali's class, and Ali's class has 120 students, each of John's classes has:\n\n1/8 * 120 = 15 students\n\nJohn has two classes, so the total capacity of John's two classes is:\n\n2 * 15 = 30 students\n\nNow, we add the capacity of John's classes to the capacity of Ali's class to find the combined capacity of both schools:\n\nAli's class capacity + John's two classes total capacity = Combined capacity\n\n120 (Ali's class capacity) + 30 (John's two classes total capacity) = 150\n\nTherefore, the combined capacity of both schools is $\\boxed{150}$ students.", "answer": {"result": 150}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's break down Stephen's payments and the calculation of the total amount he owes, including the interest.\n\n1. **Calculate the Total Amount to be Paid**:\n\n Stephen borrowed $300 and promised to pay an additional 2% as interest. The interest can be calculated as:\n \\[\n \\text{Interest} = 300 \\times 2\\% = 300 \\times 0.02 = 6\n \\]\n Therefore, the total amount Stephen owes is the principal plus the interest:\n \\[\n \\text{Total Amount} = 300 + 6 = 306\n \\]\n\n2. **Determine the Amount Paid Over 11 Months**:\n\n Stephen pays $25 each month for 11 months. The total amount paid over these 11 months is:\n \\[\n \\text{Total Paid Over 11 Months} = 25 \\times 11 = 275\n \\]\n\n3. **Calculate the Remaining Amount for the Twelfth Month**:\n\n Subtract the total amount paid over 11 months from the total amount owed to find the remaining balance to be paid in the twelfth month:\n \\[\n \\text{Remaining Amount} = 306 - 275 = 31\n \\]\n\nTherefore, the amount that Stephen will pay in the twelfth month is $\\boxed{31}$.", "answer": {"result": 31}}, "matches": true} +{"solution": {"solution": "Each child requires 5 diaper changes per day, so 2 children require 5 * 2 = 10 diaper changes per day.\nJordan's wife changes half of the diapers, so she changes 10 / 2 = 5 diaper changes per day.\nTherefore, Jordan changes the remaining 5 diaper changes per day.\n#### 5\nThe answer is: 5", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "First, let's calculate the volume of the jelly bean jar. The volume of a rectangular prism (jar) is calculated by multiplying its length, width, and height:\n\nVolume = length \u00d7 width \u00d7 height\nVolume = 6 inches \u00d7 6 inches \u00d7 15 inches\nVolume = 540 cubic inches\n\nNow, let's find out how many jelly beans the jar can hold, considering the packing efficiency of 80%:\n\nTotal jelly beans = Volume of jar / (Efficiency \u00d7 Volume of a jelly bean)\nTotal jelly beans = 540 cubic inches / (0.80 \u00d7 0.15 cubic inches/jelly bean)\nTotal jelly beans = 540 / 0.12\nTotal jelly beans = 4500 jelly beans\n\nNext, we calculate the estimated number of red jelly beans, given that 30% of the jelly beans are red:\n\nEstimated red jelly beans = Total jelly beans \u00d7 0.30\nEstimated red jelly beans = 4500 \u00d7 0.30\nEstimated red jelly beans = 1350 jelly beans\n\nNow, let's find out how far off Tim's guess was from the true number of red jelly beans:\n\nOff by = True number of red jelly beans - Estimated red jelly beans\nOff by = 900 - 1350\nOff by = -450\n\nSince Tim's estimate was lower than the true number, the negative result indicates that Tim's guess was 450 jelly beans too low.\n\nTim was off by 450 red jelly beans.", "answer": {"result": 450}}, "matches": false} +{"solution": {"solution": "\n1. **Determine the total capacity of the bus:**\n The bus has a capacity of 200 people.\n\n2. **Calculate the number of people after the first stop:**\n Initially, there are 20 people on the bus. At the first stop, 40 more people enter the bus.\n \n \\[\n \\text{Number of people after the first stop} = 20 + 40 = 60\n \\]\n\n3. **Determine the passengers from the first stop who continue to the second stop:**\n At the first stop, \\( \\frac{3}{4} \\) of the passengers who entered the bus at this stop continue to the second stop.\n\n \\[\n \\text{Number of passengers continuing to the second stop} = 40 \\times \\frac{3}{4} = 30\n \\]\n\n4. **Calculate the total number of people on the bus after the second stop:**\n The 30 people who continued from the first stop are added to the original 60 people.\n\n \\[\n \\text{Total number of people after the second stop} = 60 + 30 = 90\n \\]\n\n5. **Determine the number of passengers at the third stop:**\n At the third stop, the number of passengers doubles.\n\n \\[\n \\text{Number of passengers at the third stop} = 90 \\times 2 = 180\n \\]\n\n6. **Calculate the remaining capacity of the bus:**\n The bus has a capacity of 200 people. The current number of passengers is 180.\n\n \\[\n \\text{Remaining capacity} = 200 - 180 = 20 \\text{ people}\n \\]\n\n7. **Determine the number of additional passengers required:**\n To fill the remaining 20 seats, the number of new passengers needed is:\n\n \\[\n \\text{Number of additional passengers required} = 20\n \\]\n\n### Conclusion:\n\n\\(\\boxed{20}\\)", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "1. First, calculate the initial cost of one visit. Pauline initially pays $2 per visit.\n2. Determine the new cost after a 150% price increase. This can be calculated as follows:\n \\[\n \\text{New cost} = 2 + (2 \\times 1.5) = 2 + 3 = 5 \\text{ dollars}\n \\]\n This is because a 150% increase is equivalent to multiplying by 1.5.\n3. Calculate the total number of visits over 8 years. Pauline visits 3 times a year, so the total number of visits is:\n \\[\n 3 \\text{ visits/year} \\times 8 \\text{ years} = 24 \\text{ visits}\n \\]\n4. Determine the total cost for the first 5 years when the cost was $2 per visit:\n \\[\n 24 \\text{ visits} \\times 2 \\text{ dollars/visit} = 48 \\text{ dollars}\n \\]\n5. Calculate the total cost for the next 3 years when the cost was $5 per visit:\n \\[\n 12 \\text{ visits} \\times 5 \\text{ dollars/visit} = 60 \\text{ dollars}\n \\]\n6. Add the costs from both periods to get the total amount Pauline spent:\n \\[\n 48 \\text{ dollars} + 60 \\text{ dollars} = 108 \\text{ dollars}\n \\]\n\nConclusion:\n\\[\n\\boxed{108}\n\\]", "answer": {"result": 108}}, "matches": false} +{"solution": {"solution": "\nFirst, we need to determine the total number of students who will participate in the escape room. Since there are 4 grades, and 10 students from each grade, we multiply 4 grades by 10 students per grade:\n\n4 grades * 10 students/grade = 40 students\n\nSince only 8 students can participate in the escape room at a time, we'll need to calculate how many rounds of 8 students will be required to accommodate all 40 students:\n\n40 students / 8 students/round = 5 rounds\n\nEach round takes 45 minutes, so to find the total time for all rounds, we multiply the number of rounds by the duration of each round:\n\n5 rounds * 45 minutes/round = 225 minutes\n\nTo convert this time into hours, we divide by 60 (since there are 60 minutes in an hour):\n\n225 minutes / 60 minutes/hour = 3.75 hours\n\nTherefore, it will take 3.75 hours for every group of 8 students to try the escape room.\n\nAnswer:\n\n3.75 hours", "answer": {"result": 3.75}}, "matches": false} +{"solution": {"solution": "To calculate the total amount Ali has to pay John, we need to sum the cost of the wooden tables and the roof frames. \n\n1. Cost of wooden tables = Number of tables * Cost per table\n = 4 tables * $20/table\n = $80\n\n2. Cost of roof frames = Number of frames * Cost per frame\n = 2 frames * $10/frame\n = $20\n\n3. Total amount Ali has to pay = Cost of tables + Cost of frames\n = $80 + $20\n = $100\n\nTherefore, Ali has to pay John $\\boxed{100}$ dollars.", "answer": {"result": 100}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's denote the length of the shorter piece as $x$ feet. Since the longer piece is 4 times longer than the shorter piece, the length of the longer piece can be represented as $4x$ feet. Given that the total length of the board is 40 feet, we can set up the following equation to represent the relationship between the lengths of the two pieces:\n\n\\[x + 4x = 40\\]\n\nCombining like terms, we get:\n\n\\[5x = 40\\]\n\nTo find the value of $x$, we divide both sides of the equation by 5:\n\n\\[x = \\frac{40}{5}\\]\n\n\\[x = 8\\]\n\nNow that we know the length of the shorter piece is 8 feet, we can find the length of the longer piece by multiplying the length of the shorter piece by 4:\n\n\\[4x = 4 \\times 8\\]\n\n\\[4x = 32\\]\n\nTherefore, the longer piece is $\\boxed{32}$ feet long.", "answer": {"result": 32}}, "matches": true} +{"solution": {"solution": "First, we need to determine how much ground beef Aiden needs for 80 meatballs. Since he gets sixteen meatballs from each pound of meat, we divide the desired number of meatballs by the number of meatballs per pound:\n\n80 meatballs / 16 meatballs per pound = 5 pounds of ground beef\n\nNext, we know that Aiden adds two tablespoons of seasoning for every pound of meat. To find out how much seasoning he needs for five pounds of meat, we multiply the amount of seasoning per pound by the total pounds of meat:\n\n2 tablespoons per pound * 5 pounds = 10 tablespoons\n\nTherefore, Aiden will need $\\boxed{10}$ tablespoons of his secret steakhouse seasoning for the cookout.", "answer": {"result": 10}}, "matches": true} +{"solution": {"solution": "First, calculate the total width of the windows by multiplying the width of one window by the number of windows:\n\\[ 35 \\text{ inches/window} \\times 5 \\text{ windows} = 175 \\text{ inches} \\]\n\nNext, Luke needs to buy fabric that is 2 times the total width of the windows:\n\\[ 2 \\times 175 \\text{ inches} = 350 \\text{ inches} \\]\n\nThus, Luke should buy:\n\\[ \\boxed{350 \\text{ inches}} \\]\n\nConclusion:\nLuke needs to buy 350 inches of fabric to make the curtains.", "answer": {"result": 350}}, "matches": true} +{"solution": {"solution": "To calculate the total cost of a 36-minute call from a payphone, we need to split the call into two segments based on the price change at the 16-minute mark.\n\n1. **First 16 minutes at $0.25 per minute:**\n - Cost for the first 16 minutes = $16 \\times 0.25 = \\$4.00$\n\n2. **Next 20 minutes at $0.20 per minute:**\n - Cost for the next 20 minutes = $20 \\times 0.20 = \\$4.00$\n\n3. **Total cost for the 36-minute call:**\n - Total cost = Cost for first 16 minutes + Cost for next 20 minutes\n - Total cost = $4.00 + 4.00 = \\$8.00$\n\nTherefore, the total cost for a 36-minute call from a payphone would be $\\boxed{\\$8.00}$.", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "Twice of Monday's total rain is 2 * 2 = 4 inches.\nAnd Tuesday's total rain is expected to be 1 more inch than twice of Monday's total, so it will be 4 + 1 = 5 inches.\nTherefore, there will be 5 inches of rain on Tuesday.\n#### 5\nThe answer is: 5", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "Let \\( b \\) represent the number of brownies Carly makes and \\( c \\) represent the number of cupcakes.\n\n1. The problem states that Carly makes 2 less than three times as many brownies as cupcakes:\n \\[\n b = 3c - 2\n \\]\n\n2. Each person in the class gets 2 treats, and there are 5 people in the class. Therefore, the total number of treats (brownies and cupcakes) is:\n \\[\n 2 \\times 5 = 10\n \\]\n\n3. Combine the expressions for the total number of treats:\n \\[\n b + c = 10\n \\]\n\n4. Substitute the expression for \\( b \\) from step 1 into the total treat equation:\n \\[\n (3c - 2) + c = 10\n \\]\n\n5. Simplify and solve for \\( c \\):\n \\[\n 3c - 2 + c = 10\n \\]\n \\[\n 4c - 2 = 10\n \\]\n \\[\n 4c = 12\n \\]\n \\[\n c = 3\n \\]\n\nConclusion:\nCarly made $\\boxed{3}$ cupcakes.", "answer": {"result": 3}}, "matches": true} +{"solution": {"solution": "First, let's calculate the cost of the basic manicure and pedicure without any discounts:\n\n- Basic manicure: $35\n- Pedicure: $40\n\nThe total cost before the discount would be:\n\\[35 + 40 = \\$75\\]\n\nNow, applying the 20% discount for getting both services:\n\\[0.20 \\times 75 = \\$15\\]\n\nSubtract this discount from the total cost:\n\\[75 - 15 = \\$60\\]\n\nNext, we add the cost of nail art on each finger. Since Karen wants nail art on all her fingers, we need to calculate the cost for 10 fingers (5 toes + 5 fingers):\n\\[10 \\times 3 = \\$30\\]\n\nFinally, add the cost of nail art to the discounted total cost of the manicure and pedicure:\n\\[60 + 30 = \\$90\\]\n\nSo, the total amount Karen would pay for the manicure, pedicure, and nail art is:\n\\[\\boxed{\\$90}\\]", "answer": {"result": 90}}, "matches": true} +{"solution": {"solution": "\n\nSusan orders 3 magazines that each send 12 issues a year, so that's 3 * 12 = 36 issues. \n\nShe also has 1 magazine that sends 6 issues a year. \n\nHer last magazine sends her 4 times the amount of the 6 issue magazine, so that's 4 * 6 = 24 issues. \n\nIn total, Susan gets 36 + 6 + 24 = 66 magazines every year. \n\n#### 66\nThe answer is: 66", "answer": {"result": 66}}, "matches": true} +{"solution": {"solution": "If Samantha has 12 fewer paintings than Shelley, then Shelley has 27 + 12 = 39 paintings.\n\nIf Shelley has 8 paintings more than Kim, then Kim has 39 - 8 = $\\boxed{31}$ paintings.\nThe answer is: 31", "answer": {"result": 31}}, "matches": true} +{"solution": {"solution": "\nIn November, the price of the toy was $40.\n\nIn December, the price increased by 80%. To find the new price, we multiply the original price by 1 + 80% (which is 1.8):\n$40 * 1.8 = $72\n\nIn January, the price decreased by 50%. To find the discounted price, we multiply the December price by 1 - 50% (which is 0.5):\n$72 * 0.5 = $36\n\nAfter being discounted in January, the price of the toy is $\\boxed{\\$36}$ .The answer is: 36", "answer": {"result": 36}}, "matches": true} +{"solution": {"solution": "Charlie has 4 lessons at his standard rate of $80 per hour, so he will make 4 * $80 = $320 from these lessons. \n\nFor the lessons with a veteran, he reduces his rate by 25%, which means he charges 75% of his standard rate. \n\n75% of $80 is (75/100) * $80 = $60 per hour. \n\nHe has 2 lessons with a veteran, so he will make 2 * $60 = $120 from these lessons. \n\nIn total, Charlie will make $320 + $120 = $\\boxed{\\$440}$ for the day.", "answer": {"result": 440}}, "matches": true} +{"solution": {"solution": "1. **Sum of Scores**: Calculate the sum of Sally's scores:\n \\[\n 50 + 80 + 80 + 60 + 40 + 90 + 100 + 70 + 60 = 630\n \\]\n\n2. **Count of Scores**: Count the number of quizzes Sally took:\n \\[\n 9 \\text{ quizzes}\n \\]\n\n3. **Calculate the Mean Score**: Divide the total sum of scores by the number of quizzes:\n \\[\n \\text{Mean} = \\frac{630}{9} = 70\n \\]\n\n4. **Simplify and Box the Answer**: Box the final mean score:\n \\[\n \\boxed{70}\n \\]", "answer": {"result": 70}}, "matches": true} +{"solution": {"solution": "Eve is left with 1/4 of the pomelos she originally had, which means she has 20 * 1/4 = 5 pomelos remaining.\n\nShe originally had 20 pomelos, and now she has 5 pomelos, so she gave away 20 - 5 = 15 pomelos.\n\nEve gave away 15 pomelos.\n\n#### 15\nThe answer is: 15", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "Walter ate 2/5 of the 60 apples, so he consumed 2/5 * 60 = 24 apples.\n\nThe remaining number of apples is 60 - 24 = 36 apples.\n\nHe gave his sister 25% of the remaining 36 apples, so he gave her 25/100 * 36 = 9 apples.\n\nThe number of apples left after giving some to his sister is 36 - 9 = 27 apples.\n\nWalter sold these 27 apples to his uncle at $3 each, so he received 27 * $3 = $\\boxed{\\$81}$ .", "answer": {"result": 81}}, "matches": true} +{"solution": {"solution": "If 9 novels is 3/4 of the number of novels Regina has written this year, we can set up the equation:\n\n9 = (3/4) * total number of novels this year\n\nTo find the total number of novels, we can divide both sides of the equation by 3/4:\n\n9 / (3/4) = total number of novels this year\n\nTo divide by a fraction, we multiply by its reciprocal:\n\n9 * (4/3) = total number of novels this year\n\n24 = total number of novels this year\n\nRegina has written $\\boxed{24}$ novels this year.The answer is: 24", "answer": {"result": 24}}, "matches": false} +{"solution": {"solution": "\n1. **Convert the total distance from kilometers to miles:**\n Given that the distance between Alaska and Texas is 6000 kilometers, we need to convert this to miles.\n \\[\n 6000 \\, \\text{km} \\times \\frac{0.621371 \\, \\text{miles}}{1 \\, \\text{km}} = 3728.226 \\, \\text{miles}\n \\]\n\n2. **Calculate the total distance traveled by Michael:**\n Michael travels at an average speed of 50 km/hr over a period of 3 days. To find the total distance traveled, multiply the speed by the time.\n \\[\n \\text{Total distance} = 50 \\, \\text{km/hr} \\times 3 \\, \\text{days} \\times 24 \\, \\text{hours/day}\n \\]\n First, convert the hours to days (since 1 day has 24 hours):\n \\[\n 3 \\, \\text{days} \\times 24 \\, \\text{hours/day} = 72 \\, \\text{hours}\n \\]\n Now calculate the total distance:\n \\[\n 50 \\, \\text{km/hr} \\times 72 \\, \\text{hours} = 3600 \\, \\text{km}\n \\]\n\n3. **Convert the total distance traveled by Michael into miles:**\n Use the conversion factor from step 1:\n \\[\n 3600 \\, \\text{km} \\times \\frac{0.621371 \\, \\text{miles}}{1 \\, \\text{km}} = 2236.8956 \\, \\text{miles}\n \\]\n\n4. **Calculate the percentage of the total distance covered:**\n To find what percentage of the total distance Michael has covered, we use the formula:\n \\[\n \\text{Percentage covered} = \\left( \\frac{\\text{Distance traveled by Michael}}{\\text{Total distance}} \\right) \\times 100\\%\n \\]\n Substitute the values:\n \\[\n \\text{Percentage covered} = \\left( \\frac{2236.8956 \\, \\text{miles}}{3728.226 \\, \\text{miles}} \\right) \\times 100\\% \n \\]\n Perform the division:\n \\[\n \\frac{2236.8956}{3728.226} \\approx 0.5999999\n \\]\n Convert the decimal to a percentage:\n \\[\n 0.5999999 \\times 100\\% \\approx 59.99999\\%\n \\]\n\n5. **Round to the nearest whole number:**\n \\[\n 59.99999\\% \\approx 60\\%\n \\]\n\n### Conclusion:\n\\[\n\\boxed{60\\%}\n\\]", "answer": {"result": 60}}, "matches": true} +{"solution": {"solution": "Madeline ate 6 grapes, so we start with 6 + 5 * 6 = 6 + 30 = 36 grapes. \n\nThe brother used 5 times as many grapes as Madeline, so he used 5 * 6 = 30 grapes for the grape juice. \n\nAfter the brother used 30 grapes, there were 36 - 30 = 6 grapes left. \n\nTheir mother used these remaining 6 grapes to make 4 pies, with each pie requiring 12 grapes. \n\nSo, the 6 grapes were enough to make 6 / 12 = 0.5 pies, which is not possible since you can't make half a pie with 6 grapes. \n\nThere seems to be a mistake in the calculation. Let's correct it:\n\n6 grapes were left after the brother made the grape juice. To make 4 pies, each requiring 12 grapes, the mother would need 4 * 12 = 48 grapes. \n\nHowever, there were only 6 grapes left, which is not enough to make 4 pies. \n\nIt's not possible to make the pies with the remaining grapes. \n\nLet's assume the mother used all the grapes to make the pies. In that case, we would need 4 * 12 = 48 grapes for the pies. \n\nSince the brother used 30 grapes for the grape juice, the total number of grapes at the beginning was 30 (used for juice) + 6 (remaining) = 36 grapes. \n\nHowever, this doesn't account for the 48 grapes needed for the pies. There seems to be a misunderstanding in the problem statement. \n\nIf we only consider the grapes used for the pies and the grapes made into juice, there were 36 grapes at the beginning. If we include the grapes needed for the pies, we would need $\\boxed{48}$ grapes, which is not available with the remaining grapes.", "answer": {"result": 48}}, "matches": false} +{"solution": {"solution": "To find out how many teachers were at school that day, we start by calculating the total number of teachers and substitute teachers present. \n\n1. We know that there were 82 teachers at the school.\n2. Out of these, 13 were sick. So, the number of teachers who were present at school is $82 - 13 = 69$.\n3. There were also 9 substitute teachers called in to help.\n4. Adding the present teachers and substitute teachers together gives us the total number of teachers at school that day: $69 + 9 = 78$.\n\nTherefore, the total number of teachers at school that day is $\\boxed{78}$.", "answer": {"result": 78}}, "matches": true} +{"solution": {"solution": "To calculate the total amount Bud spends on making macaroni and cheese in one year, we follow these steps:\n\n1. First, we need to determine the cost of the ingredients for one batch of macaroni and cheese. The pasta costs $1.00, the cheddar cheese costs $3.00, and the gruyere cheese costs twice the amount of the cheddar cheese. Therefore, the cost of the gruyere cheese is $3.00 \\times 2 = $6.00. Adding these costs together gives us the total cost per batch:\n\\[ \\$1.00 + \\$3.00 + \\$6.00 = \\$10.00. \\]\n\n2. Next, we calculate how much Bud spends in a year. Assuming he makes macaroni and cheese once a week, there are 52 weeks in a year. Thus, the annual cost is:\n\\[ \\$10.00 \\times 52 = \\$520.00. \\]\n\nTherefore, Bud spends $\\boxed{\\$520}$ on making macaroni and cheese in one year.", "answer": {"result": 520}}, "matches": true} +{"solution": {"solution": "First, let's calculate the total number of classrooms the custodian needs to clean:\n\n80 classrooms\n\nNext, let's determine the total time it will take to clean all the classrooms. The custodian spends 15 minutes per classroom:\n\n15 minutes/classroom * 80 classrooms = 1200 minutes\n\nTo convert this time into hours, we divide by 60 (since there are 60 minutes in an hour):\n\n1200 minutes \u00f7 60 minutes/hour = 20 hours\n\nNow, let's find out how many total hours the custodian will work over the 5 days:\n\n8 hours/day * 5 days = 40 hours\n\nFinally, to find the percentage of time spent cleaning classrooms, we divide the time spent cleaning by the total time worked and multiply by 100:\n\n(20 hours spent cleaning / 40 total hours worked) * 100 = 50%\n\nOn average, the custodian spends 50% of their day cleaning classrooms.\n\nAnswer:\n\nThe custodian spends 50% of their day cleaning classrooms.", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "To determine the number of bookcases Elly needs to hold all her books, we follow these steps:\n\n1. Calculate the total capacity of the middle shelves. Since there are 2 middle shelves and each can hold 10 books, the total capacity for the middle shelves is:\n\\[2 \\times 10 = 20\\]\n\n2. Determine the capacity of the bottom shelf, which is twice that of a middle shelf:\n\\[2 \\times 10 = 20\\]\n\n3. Find the capacity of the top shelf, which is 5 fewer books than the bottom shelf:\n\\[20 - 5 = 15\\]\n\n4. Add the capacities of all the shelves to find the total capacity of one bookcase:\n\\[20 + 20 + 15 = 55\\]\n\n5. Finally, divide the total number of books Elly has by the total capacity of one bookcase to find out how many bookcases she needs:\n\\[110 \\div 55 = 2\\]\n\nTherefore, Elly needs $\\boxed{2}$ bookcases to hold all her books.", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "Rose bought 5 x 12 = 60 eggs. \n\nThe total cost of buying 60 eggs is $2.40 x 5 = $12.\n\nShe will sell the eggs for $1 for 3 eggs, so there are 60/3 = 20 sets of three eggs.\n\nTherefore, her income will be $1 x 20 = $20.\n\nThus, her profit is $20 - $12 = $8.\n\nThe answer is 8", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "Half of the hats are red, so there are 100/2 = 50 red hats.\nThe remaining hats are 100 - 50 = 50.\n3/5 of the remaining hats are blue, so there are 3/5 * 50 = 30 blue hats.\nThe rest of the hats are white, so there are 50 - 30 = 20 white hats.\n#### 20\nThe answer is: 20", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "Archie buys 1 bag of beef jerky for $18.00, but there's a $3.00 discount, so he pays $18.00 - $3.00 = $15.00 for the bag.\n\nThe bag contains 30 sticks of jerky. To find the cost per stick in cents, we first convert the total cost to cents: $15.00 = 1500 cents.\n\nNow, we divide the total cost in cents by the number of sticks to find the cost per stick:\n1500 cents / 30 sticks = 50 cents per stick.\n\nTherefore, each stick of jerky will cost $\\boxed{50}$ cents.", "answer": {"result": 50}}, "matches": true} +{"solution": {"solution": "To solve this problem, let's break it down step by step:\n\n1. **Calculate the total number of questions Audrey needs to answer correctly for both tests combined.**\n\n Audrey needs to correctly answer 70% of all the questions in both tests. The total number of questions across both tests is:\n \\[\n 70 + 40 = 110 \\text{ questions}\n \\]\n\n Therefore, the total number of questions she must get right to pass is:\n \\[\n 0.7 \\times 110 = 77 \\text{ questions}\n \\]\n\n2. **Determine how many questions Audrey answered correctly on the first test.**\n\n For the first test with 70 questions, Audrey got 60% correct:\n \\[\n 0.6 \\times 70 = 42 \\text{ questions}\n \\]\n\n3. **Calculate the number of questions Audrey needs to get right on the second test to pass.**\n\n Audrey needs to get a total of 77 questions right. Since she got 42 right on the first test, the number of questions she needs to get right on the second test is:\n \\[\n 77 - 42 = 35 \\text{ questions}\n \\]\n\nTherefore, Audrey needs to get $\\boxed{35}$ questions right on the second test to pass onto the 7th grade.", "answer": {"result": 35}}, "matches": true} +{"solution": {"solution": "Let \\( s \\) represent the number of strawberry cubes and \\( b \\) represent the number of blueberry cubes.\n\n1. From the problem, we know:\n \\[\n b = 5s - 4\n \\]\n\n2. The total number of ice cubes is given as:\n \\[\n s + b = 116\n \\]\n\n3. Substitute the expression for \\( b \\) from step 1 into the equation from step 2:\n \\[\n s + (5s - 4) = 116\n \\]\n\n4. Simplify and solve for \\( s \\):\n \\[\n 6s - 4 = 116\n \\]\n \\[\n 6s = 120\n \\]\n \\[\n s = 20\n \\]\n\n5. Now, substitute \\( s = 20 \\) back into the expression for \\( b \\):\n \\[\n b = 5(20) - 4\n \\]\n \\[\n b = 100 - 4\n \\]\n \\[\n b = 96\n \\]\n\nConclusion:\nMary makes \\(\\boxed{96}\\) blueberry cubes.", "answer": {"result": 96}}, "matches": true} +{"solution": {"solution": "Ara has been playing 40 games every year for four years, so she has played a total of 40 * 4 = 160 games.\nIf her score for every game is 21 points, then her total score over the four years is 21 * 160 = 3360 points.\n#### 3360\nThe answer is: 3360", "answer": {"result": 3360}}, "matches": true} +{"solution": {"solution": "Brendan originally had 10 marbles.\n\nHe dropped half of them, so he dropped 10 / 2 = 5 marbles.\n\nHe managed to find 3 of the dropped marbles, so he ended up with 5 - 3 = 2 marbles from the ones he dropped.\n\nHe also found one bead among the ones he picked up, so he got rid of that, leaving him with 2 marbles.\n\nTherefore, Brendan ended up with 2 marbles. \n\n2\n\nAnswer: \\boxed{2}", "answer": {"result": 2}}, "matches": false} +{"solution": {"solution": "To solve this problem, we break it down into steps based on the given information:\n\n1. **Calculating the Number of Customers Needed**: \n - Jason wants to sell 15 cars.\n - For every 2 customers that come into the dealership, 1 car is sold.\n - Therefore, to sell 15 cars, Jason needs $15 \\times 2 = 30$ customers.\n\n2. **Calculating the Number of Calls Needed for 30 Customers**:\n - Jason gets 1 customer for every 25 calls he makes.\n - To get 30 customers, he would need $30 \\times 25 = 750$ calls.\n\nThus, Jason would need to make $\\boxed{750}$ telephone calls to sell 15 cars and earn his bonus.", "answer": {"result": 750}}, "matches": true} +{"solution": {"solution": "\n\nEach person needs a flashlight, so for 4 people, they need 4 flashlights. \nSince there are 8 rooms, they need 2 flashlights for each room. \nSo, they need 8 rooms x 2 flashlights/room = 16 flashlights for the rooms. \nIn total, they need 4 flashlights for people + 16 flashlights for rooms = 20 flashlights. \nFor the candles, they have 4 small candles for half the rooms (4 rooms x 4 small candles/room = 16 small candles) and 5 medium candles for the other half of the rooms (4 rooms x 5 medium candles/room = 20 medium candles). \nIn total, they have 16 small candles + 20 medium candles = 36 candles. \nTherefore, Brianna's family is using 20 flashlights + 36 candles = 56 candles and flashlights combined. \n#### 56\nThe answer is: 56", "answer": {"result": 56}}, "matches": true} +{"solution": {"solution": "Mitchell buys 2 bags of chips with 55 chips each, so he has a total of 2 x 55 = 110 chips.\nHis family has 5 members, so each person will get 110 chips / 5 members = 22 chips.\nEach person will get 22 chips.\n#### 22\nThe answer is: 22", "answer": {"result": 22}}, "matches": true} +{"solution": {"solution": "\nJohn takes 5 minutes to get to the first side of the cube.\nThe second side takes twice as long, so it takes 5 * 2 = 10 minutes.\nThe third side also takes twice as long, so it takes 5 * 2 = 10 minutes.\nThe first, second, and third sides together take 5 + 10 + 10 = 25 minutes.\nThe last two sides each take half as long as the first side, so they each take 5 / 2 = 2.5 minutes.\nThe last two sides together take 2.5 * 2 = 5 minutes.\nIn total, the Rubik's cube takes 25 + 5 = 30 minutes.\n#### 30\nThe answer is: 30", "answer": {"result": 30}}, "matches": true} +{"solution": {"solution": "If there were 20 helmets, and Dominick saw half as many helmets as robots, then there were 20/2 = 10 robots.\n\nSimilarly, if there were 20 helmets, and Dominick saw half as many helmets as footballs, then there were 20/2 = 10 footballs.\n\nTherefore, the total number of items Dominick saw is 20 helmets + 10 robots + 10 footballs = $\\boxed{40}$ items.", "answer": {"result": 40}}, "matches": false} +{"solution": {"solution": "Tim spends 6 hours each day at work, and it takes him 15 minutes to deal with a call. \n\nFirst, let's convert the 6 hours into minutes, since the time for dealing with a call is given in minutes. \nThere are 60 minutes in an hour, so 6 hours is equal to 6 * 60 = 360 minutes. \n\nNow, we need to find out how many calls Tim can deal with in 360 minutes. \nSince it takes him 15 minutes to deal with one call, we divide the total minutes by the minutes per call: 360 / 15 = 24 calls. \n\nTherefore, Tim deals with 24 calls each day. \n\nSince he works 5 days a week, we multiply the number of calls per day by the number of workdays: 24 * 5 = 120 calls. \n\nTim deals with $\\boxed{120}$ calls during his 5 day work week.The answer is: 120", "answer": {"result": 120}}, "matches": true} +{"solution": {"solution": "\nFirst, let's calculate the total time it would take to dry the varnish on 6 paintings using the old varnish.\n\nThe old varnish takes 7 minutes per painting, so for 6 paintings, it would take:\n7 minutes/painting * 6 paintings = 42 minutes\n\nNow, let's calculate the total time it would take to dry the varnish on 6 paintings using the new varnish.\n\nThe new varnish takes 12 minutes per painting, so for 6 paintings, it would take:\n12 minutes/painting * 6 paintings = 72 minutes\n\nTo find out how much longer it takes with the new varnish, we subtract the time with the old varnish from the time with the new varnish:\n\n72 minutes (new varnish) - 42 minutes (old varnish) = 30 minutes\n\nSo, it will take $\\boxed{30}$ minutes longer for the coat of varnish on 6 paintings to dry with the new varnish compared to the old varnish.\n\nAnswer:\n30", "answer": {"result": 30}}, "matches": true} +{"solution": {"solution": "Crista has 4 plants that need half a cup of water each, so that's 4 * 0.5 = 2 cups of water for those plants.\n\nShe also has 8 plants that need 1 cup of water each, so that's 8 * 1 = 8 cups of water for those plants.\n\nThe remaining plants are 20 - 4 - 8 = 8 plants.\n\nThese 8 plants need a quarter of a cup of water each, so that's 8 * 0.25 = 2 cups of water for those plants.\n\nIn total, Crista needs 2 + 8 + 2 = $\\boxed{12}$ cups of water every day for her plants.", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "To solve this problem, we break it down into smaller, more manageable parts:\n\n1. **Determine the total distance Phineas needs to cover:**\n - Phineas was washed 200 yards away from his home.\n - Since half the distance is on land and the other half is in water, we calculate the distance he needs to travel on each medium as follows:\n \\[\n \\frac{200 \\, \\text{yards}}{2} = 100 \\, \\text{yards} \\quad \\text{(each half)}\n \\]\n\n2. **Calculate the time spent hopping on land:**\n - Phineas hops on land at a speed of 20 yards per minute.\n - The distance he needs to cover on land is 100 yards.\n - Therefore, the time spent hopping is calculated by:\n \\[\n \\frac{100 \\, \\text{yards}}{20 \\, \\text{yards/minute}} = 5 \\, \\text{minutes}\n \\]\n\n3. **Calculate the time spent swimming in water:**\n - Phineas swims in water at a speed of 10 yards per minute.\n - The distance he needs to cover in water is also 100 yards.\n - Therefore, the time spent swimming is calculated by:\n \\[\n \\frac{100 \\, \\text{yards}}{10 \\, \\text{yards/minute}} = 10 \\, \\text{minutes}\n \\]\n\n4. **Calculate the total time taken to return home:**\n - To find the total time, we add the time spent hopping and the time spent swimming:\n \\[\n 5 \\, \\text{minutes} + 10 \\, \\text{minutes} = 15 \\, \\text{minutes}\n \\]\n\nTherefore, the total time it will take Phineas to return home is $\\boxed{15}$ minutes.", "answer": {"result": 15}}, "matches": true} +{"solution": {"solution": "Bob needs 56 popsicle sticks for his project.\n\nHis favorite popsicles come 8 to a box, so he needs 56 / 8 = 7 boxes of popsicles.\n\nEach box costs $2.00, so 7 boxes will cost 7 * $2.00 = $14.00.\n\nTherefore, it will cost Bob $14.00 to build his project.\n\n#### 14\nThe answer is: 14", "answer": {"result": 14}}, "matches": true} +{"solution": {"solution": "Let's denote the cost of each additional phone as $x$. Given that the main phone costs twice as much as each additional phone, the cost of the main phone would be $2x$. \n\nThe total cost of the phone plan is the sum of the cost of the main phone and the cost of the additional four phones. Therefore, the total cost can be expressed as:\n\\[20 = 2x + 4x\\]\n\nCombining like terms, we get:\n\\[20 = 6x\\]\n\nTo find the value of $x$, we divide both sides of the equation by $6$:\n\\[x = \\frac{20}{6} = \\frac{10}{3}\\]\n\nNow that we have the cost of each additional phone, we can find the total cost of the additional phones:\n\\[4x = 4 \\times \\frac{10}{3} = \\frac{40}{3}\\]\n\nFinally, to find the total cost of the entire phone plan, we add the cost of the main phone to the cost of the additional phones:\n\\[2x + 4x = 2 \\times \\frac{10}{3} + \\frac{40}{3} = \\frac{20}{3} + \\frac{40}{3} = \\frac{60}{3} = 20\\]\n\nHowever, we must correct this calculation. The correct total cost, including the main phone, should be:\n\\[20 + \\frac{40}{3} = 20 + 13\\frac{1}{3} = 33\\frac{1}{3}\\]\n\nTherefore, the total cost of the phone plan is $\\boxed{33\\frac{1}{3}}$.The answer is: 33\\frac{1}{3}", "answer": {"result": 33.333333333333336}}, "matches": false} +{"solution": {"solution": "First, calculate the total number of doughnuts made in a day:\n\\[ 10 \\text{ dozen} = 10 \\times 12 = 120 \\text{ doughnuts} \\]\n\nNext, determine the total daily revenue from selling these doughnuts:\n\\[ 120 \\text{ doughnuts} \\times \\$2 = \\$240 \\]\n\nJune has 30 days, so the total revenue for the month is:\n\\[ \\$240 \\text{ per day} \\times 30 \\text{ days} = \\$7200 \\]\n\nThus, the total amount of money Derrick makes in June is:\n\\[ \\boxed{7200} \\]", "answer": {"result": 7200}}, "matches": true} +{"solution": {"solution": "Jade uploads 7 photos in one batch, and she uploads 6 batches each day. So, the number of photos she uploads each day is:\n\n7 photos/batch * 6 batches/day = 42 photos/day\n\nTo find out how many days she will need to upload all 210 photos, we divide the total number of photos by the number of photos she uploads each day:\n\n210 photos / 42 photos/day = 5 days\n\nJade will need $\\boxed{5}$ days to upload all of her photos.", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "To calculate the total amount Alicia spends on dry-cleaning her clothes in 5 weeks, we break down the cost into three categories: blouses, pants, and skirts.\n\n1. **Calculating the cost for blouses:**\n- Alicia has 5 blouses, and they charge her $5.00 per blouse.\n- So, the total cost for blouses is $5.00 \\times 5 = \\$25.00$.\n\n2. **Calculating the cost for pants:**\n- She has 2 pairs of pants, with each pair costing $8.00.\n- The total cost for pants is $8.00 \\times 2 = \\$16.00$.\n\n3. **Calculating the cost for a skirt:**\n- She includes 1 skirt in her drop-off, which costs $6.00.\n- Therefore, the total cost for the skirt is $6.00 \\times 1 = \\$6.00$.\n\n4. **Calculating the total weekly cost:**\n- Adding up the costs for blouses, pants, and a skirt gives us the weekly expenditure.\n- Total weekly cost = Cost for blouses + Cost for pants + Cost for skirt = $\\$25.00 + \\$16.00 + \\$6.00 = \\$47.00$.\n\n5. **Calculating the total cost over 5 weeks:**\n- To find the total cost for 5 weeks, we multiply the weekly cost by 5.\n- Total cost over 5 weeks = Weekly cost $\\times 5 = \\$47.00 \\times 5 = \\$235.00$.\n\nThus, the total amount Alicia spends on dry-cleaning her clothes in 5 weeks is $\\boxed{\\$235.00}$.", "answer": {"result": 235}}, "matches": true} +{"solution": {"solution": "John's speaking speed is normally 150 WPM.\nAfter training, his speed is 2.5 times faster than his starting speed, so his new speaking speed is 150 * 2.5 = 375 WPM.\nEach page has 450 words, so to speak one page, it would take John 450 / 150 = 3 minutes.\nTo speak 10 pages, it would take John 3 minutes * 10 = 30 minutes.\n#### 30\nThe answer is: 30", "answer": {"result": 30}}, "matches": false} +{"solution": {"solution": "1. **Day 1**: Conor saw 50 people.\n \n2. **Day 2**: The number of people increased by 20 compared to Day 1.\n \\[\n \\text{Day 2} = 50 + 20 = 70\n \\]\n\n3. **Day 3**: The total number of people was twice the number from Day 2.\n \\[\n \\text{Day 3} = 2 \\times 70 = 140\n \\]\n\n4. **Total for Days 1 to 3**:\n \\[\n \\text{Total (Days 1-3)} = 50 + 70 + 140 = 260\n \\]\n\n5. **Remaining Days**: There are 4 more days in the week, and Conor saw an average of 60 people each of these days.\n \\[\n \\text{Average daily count for remaining days} = 60\n \\]\n \\[\n \\text{Total for remaining days} = 4 \\times 60 = 240\n \\]\n\n6. **Total for the Week**:\n \\[\n \\text{Total for the week} = 260 + 240 = 500\n \\]\n\n### Conclusion:\n\\[\n\\boxed{500}\n\\]", "answer": {"result": 500}}, "matches": true} +{"solution": {"solution": "\nIn the first 30 seconds, 20 kernels pop.\nIn the next 30 seconds, three times that amount pop, so 3 * 20 = 60 kernels pop.\nIn the next 30 seconds, four times the initial popping rate occurs, so 4 * 20 = 80 kernels pop.\nIn the final 30 seconds, the popping slows down to half the rate, so 80 / 2 = 40 kernels pop.\nAfter the pan is taken off the heat, a quarter of the number of kernels that popped in the final 30 seconds also pop from residual heat, so 40 / 4 = 10 kernels pop.\nIn total, Garrett has 20 + 60 + 80 + 40 + 10 = 210 pieces of popcorn to eat.\n\nAnswer:\n210", "answer": {"result": 210}}, "matches": true} +{"solution": {"solution": "For 1 gallon of lemonade, Tim needs 1 cup of lemon juice. \nAnd for 1 cup of lemon juice, he needs 6 lemons. \nSo for 1 gallon of lemonade, Tim needs 1 * 6 = 6 lemons. \n\nTim wants to make 4 gallons of lemonade for the party. \nSo for 4 gallons, he needs 4 * 6 = 24 lemons. \n\nTim's best friend Allen wants an extra gallon that is twice as tart. \nThis means it will require twice the amount of lemon juice. \nSo for this extra gallon, Tim needs 1 * 2 = 2 cups of lemon juice. \n\nTo get 2 cups of lemon juice, Tim needs 2 * 6 = 12 lemons. \n\nIn total, Tim will need 24 + 12 = 36 lemons. \n\n#### 36\nThe answer is: 36", "answer": {"result": 36}}, "matches": true} +{"solution": {"solution": "First, let's calculate the daily consumption of dog food for each type of dog:\n\n- German Shepherds: 3 dogs * 5 kilograms/dog = 15 kilograms/day\n- Bulldogs: 2 dogs * 3 kilograms/dog = 6 kilograms/day\n\nNow, let's add the daily consumption of both types of dogs to find the total daily consumption:\n\nTotal daily consumption = Consumption of German Shepherds + Consumption of Bulldogs\nTotal daily consumption = 15 kilograms/day + 6 kilograms/day = 21 kilograms/day\n\nTo find out how much dog food they will need in a week, we multiply the total daily consumption by 7 (the number of days in a week):\n\nTotal weekly consumption = Total daily consumption * 7\nTotal weekly consumption = 21 kilograms/day * 7 days = 147 kilograms\n\nTherefore, they will need $\\boxed{147}$ kilograms of dog food in a week.", "answer": {"result": 147}}, "matches": true} +{"solution": {"solution": "The total number of legs from the 2-legged animals is 10 animals x 2 legs = 20 legs.\nThe total number of legs from the 4-legged animals is 15 animals x 4 legs = 60 legs.\nTherefore, the total number of animal legs on the farm is 20 legs + 60 legs = 80 legs.\nSince each pair of legs consists of 2 legs, the total number of pairs of animal legs is 80 legs / 2 = 40 pairs.\n#### 40\nThe answer is: 40", "answer": {"result": 40}}, "matches": true} +{"solution": {"solution": "Let's break down the problem step by step:\n\n1. We know there are 4 blue blocks.\n2. There are twice as many yellow blocks as blue blocks, so there are 2 * 4 = 8 yellow blocks.\n3. The total number of blue and yellow blocks is 4 + 8 = 12 blocks.\n4. The total number of blocks in the tower is 32.\n\nNow, to find the number of red blocks, we subtract the number of blue and yellow blocks from the total number of blocks:\n\n32 (total blocks) - 12 (blue and yellow blocks) = 20 red blocks.\n\nSo, there are $\\boxed{20}$ red blocks in the tower.", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "Elvis travels west for 5 hours at an average speed of 18mph, so he covers a distance of 5 * 18 = 90 miles.\nThen he turns around and travels east for 8 hours at the same average speed of 18mph, so he covers a distance of 8 * 18 = 144 miles.\nSince he traveled east, he is now 144 - 90 = 54 miles away from his house.\n#### 54\nThe answer is: 54", "answer": {"result": 54}}, "matches": true} +{"solution": {"solution": "\nIn the first year, the boat depreciated by 30%, so it is worth 100% - 30% = 70% of its original value.\n70% of $9000 is 0.7 * $9000 = $6300.\n\nIn the second year, the boat depreciated by another 30%, so it is worth 70% of its value after the first year.\n70% of $6300 is 0.7 * $6300 = $4410.\n\nIn the third year, the boat depreciated by 20%, so it is worth 80% of its value after the second year.\n80% of $4410 is 0.8 * $4410 = $3528.\n\nTherefore, the boat is worth $3528 after three years.\n\n#### 3528\nThe answer is: 3528", "answer": {"result": 3528}}, "matches": true} +{"solution": {"solution": "\n\nThe total number of red candies is 54. \n\nThe number of orange candies is twice the number of red candies, so it is 2 * 54 = 108.\n\nThe number of yellow candies is half the number of red candies, so it is 54 / 2 = 27.\n\nThe total number of red, orange, and yellow candies is 54 + 108 + 27 = 189.\n\nTo find the number of pink candies, we subtract the total number of red, orange, and yellow candies from the total number of candies in the bag: 232 - 189 = 43.\n\nThere are 43 pink candies in the bag.\n\n#### 43\nThe answer is: 43", "answer": {"result": 43}}, "matches": true} +{"solution": {"solution": "One night at the hotel cost $80. \n\nThe cost of one bus trip is 10% of the price of one night at the hotel, which is 10/100 * $80 = $8.\n\nHelen rode the bus 7 times, so the total cost for bus travel is 7 * $8 = $56.\n\nThe total cost for the hotel and bus travels is the cost of the hotel plus the cost of the bus trips, which is $80 + $56 = $136.\n\nTherefore, Helen paid a total of $136 for the hotel and bus travels during that trip. \n\n#### 136\nThe answer is: 136", "answer": {"result": 136}}, "matches": false} +{"solution": {"solution": "Mazie gave a total of 52 marbles to the twins. \n\nDallas has 21 marbles after dropping 4 in the playground. So, Dallas originally had 21 + 4 = 25 marbles.\n\nIf Dallas originally had 25 marbles, and Mazie gave a total of 52 marbles to the twins, then Darla must have 52 - 25 = $\\boxed{27}$ marbles.", "answer": {"result": 27}}, "matches": true} +{"solution": {"solution": "The cost of one adult ticket is $12 and there are two adults, so the total cost for the adult tickets is 2 * $12 = $24. \n\nThe cost of one child ticket is $8 and there is one child, so the cost for the child ticket is $8. \n\nThey buy 2 popcorns at $3 each, so the total cost for the popcorns is 2 * $3 = $6. \n\nTo find the total amount they pay, we add the cost of the tickets and the popcorns: $24 + $8 + $6 = $38. \n\n#### 38\nThe answer is: 38", "answer": {"result": 38}}, "matches": true} +{"solution": {"solution": "To find the total weight of John's car, we need to add the weight of the car itself, the luggage, and the weight of his two children. \n\nThe car weighs 1200 pounds.\nThe luggage weighs 250 pounds.\nEach child weighs 75 pounds, so together they weigh 75 * 2 = 150 pounds.\n\nNow, let's add these weights together to find the total weight:\n\n1200 (car) + 250 (luggage) + 150 (children) = 1600 pounds.\n\nThe problem states that the force to move the car is 1% of the weight. So, we calculate 1% of 1600 pounds:\n\n1% of 1600 = 0.01 * 1600 = 16 pounds force.\n\nTherefore, John needs to push with a force of $\\boxed{16}$ pounds to move the car.", "answer": {"result": 16}}, "matches": true} +{"solution": {"solution": "To find the amount of crepe paper James needs, we need to calculate the perimeter of the rectangle that represents his backyard fence. The formula for the perimeter \\( P \\) of a rectangle is given by: \n\\[ P = 2 \\times (\\text{length} + \\text{width}) \\]\n\nGiven that the length of the fence is 20 feet and the width is 15 feet, we can substitute these values into the formula:\n\\[ P = 2 \\times (20 + 15) \\]\n\\[ P = 2 \\times 35 \\]\n\\[ P = 70 \\]\n\nTherefore, James needs to buy $\\boxed{70}$ feet of crepe paper to cover his backyard fence.The answer is: 70", "answer": {"result": 70}}, "matches": true} +{"solution": {"solution": "If Mia is currently 40 years old and there is a 16-year age gap between her and Emma, we can find Emma's age by adding 16 to Mia's age.\n\nEmma's age = Mia's age + 16 years\n = 40 years + 16 years\n = 56 years\n\nTo find the average of their ages, we add their ages together and then divide by 2.\n\nAverage age = (Mia's age + Emma's age) / 2\n = (40 years + 56 years) / 2\n = 96 years / 2\n = 48 years\n\nSo, the average of Mia and Emma's ages is $\\boxed{48}$ years.The answer is: 48", "answer": {"result": 48}}, "matches": true} +{"solution": {"solution": "Tom found 214 seashells, Nancy found 432 seashells, and Benny found 86 seashells. \nTogether, they found a total of 214 + 432 + 86 = 732 seashells. \nOut of these, 67 were cracked, so the number of good seashells is 732 - 67 = 665. \n#### 665\nThe answer is: 665", "answer": {"result": 665}}, "matches": true} +{"solution": {"solution": "Avery needs to buy a total of 3 pieces for each place setting: a dinner plate, a salad plate, and a bowl. \n\nThe cost of a dinner plate is $6.00 each, so for 12 people, she needs 12 dinner plates x $6.00 = $72.00 for dinner plates.\n\nThe cost of a salad plate is $4.00 each, so for 12 people, she needs 12 salad plates x $4.00 = $48.00 for salad plates.\n\nThe cost of a bowl is $5.00 each, so for 12 people, she needs 12 bowls x $5.00 = $60.00 for bowls.\n\nTo find the total cost for all the place settings, we add the costs of the dinner plates, salad plates, and bowls together: $72.00 + $48.00 + $60.00 = $180.00\n\nTherefore, Avery will spend $180.00 on place settings for her holiday dinner.\n\n#### 180\nThe answer is: 180", "answer": {"result": 180}}, "matches": true} +{"solution": {"solution": "To solve this problem, we follow these steps:\n\n1. Calculate half of Steve's time. Since Steve took 10 hours, half of his time is:\n\\[ \\frac{10}{2} = 5 \\]\n\n2. Add the additional 2 hours Anna took more than half of Steve's time. So, Anna's total time is:\n\\[ 5 + 2 = 7 \\]\n\nTherefore, it took Anna $\\boxed{7}$ hours to finish the puzzle.", "answer": {"result": 7}}, "matches": true} +{"solution": {"solution": "Each pig eats 4 pounds of feed, twice a day. So, each pig eats 4 * 2 = 8 pounds of feed per day.\n\nFor five pigs, they eat a total of 8 * 5 = 40 pounds of feed per day.\n\nIn a week, which is 7 days, the pigs will eat 40 * 7 = 280 pounds of feed.\n\nDexter ordered 300 pounds of feed, so after a week, 300 - 280 = $\\boxed{20}$ pounds of feed will be left.", "answer": {"result": 20}}, "matches": true} +{"solution": {"solution": "\n\nJohn invited 20 people to the party and each guest will eat 2 hot dogs, so he will need 20 x 2 = 40 hot dogs.\n\nHe already has 4 hot dogs left over, so he will need to buy an additional 40 - 4 = 36 hot dogs.\n\nA pack of hot dogs contains 6 hot dogs, so he will need to buy 36 / 6 = 6 packs of hot dogs.\n\nEach pack of hot dogs costs $2, so he will need to spend 6 x $2 = $12 on hot dogs.\n\n#### 12\nThe answer is: 12", "answer": {"result": 12}}, "matches": true} +{"solution": {"solution": "Frances sells 20 cupcakes for $2 each, so she earns 20 * $2 = $40 from the cupcakes.\n\nShe sells 40 cookies for $1 each, so she earns 40 * $1 = $40 from the cookies.\n\nIn total, Frances earns $40 (from cupcakes) + $40 (from cookies) = $80.\n\nFrances buys five trays at $4 each, so she spends 5 * $4 = $20 on trays.\n\nTo find out how much money Frances has left, we subtract the amount she spent from the amount she earned: $80 (earnings) - $20 (expenses) = $60.\n\nFrances has $\\boxed{\\$60}$ left.", "answer": {"result": 60}}, "matches": true} +{"solution": {"solution": "1. The truck starts at the beginning of the first street with 5 children.\n2. On the second street, each of the 5 children is joined by another child. This results in:\n \\[\n 5 \\text{ children} \\times 2 = 10 \\text{ children}\n \\]\n3. On the third street, each of the 10 children is joined by an additional 2 children. This results in:\n \\[\n 10 \\text{ children} \\times 3 = 30 \\text{ children}\n \\]\n4. After the third street, the original 5 children leave the group.\n5. The number of children following the truck after the original 5 leave is:\n \\[\n 30 - 5 = 25 \\text{ children}\n \\]\n\nConclusion:\nThe total number of children following the truck after the third street, with the original 5 leaving, is:\n\\[\n\\boxed{25}\n\\]", "answer": {"result": 25}}, "matches": true} +{"solution": {"solution": "Mamou has distributed a total of 64 + 30 + 48 = 142 meals.\nShe started with 1,360 meals, so she has 1,360 - 142 = 1,218 meals left to distribute.\n#### 1218\nThe answer is: 1218", "answer": {"result": 1218}}, "matches": true} +{"solution": {"solution": "\nA quarter is worth 25 cents, so James has 25 cents from the quarter.\n\nTwo nickels are worth 5 cents each, so James has 2 * 5 = 10 cents from the nickels.\n\nSeven dimes are worth 10 cents each, so James has 7 * 10 = 70 cents from the dimes.\n\nAdding up all the change, James has 25 + 10 + 70 = 105 cents.\n\nTherefore, James has 105 cents.\n\n#### 105\nThe answer is: 105", "answer": {"result": 105}}, "matches": true} +{"solution": {"solution": "1. **Identify the ages of the sisters**:\n - Given that all three sisters are 16 years old, their total age is:\n \\[\n 3 \\times 16 = 48 \\text{ years}\n \\]\n\n2. **Determine the age of the older brother**:\n - One brother is 12 years old and this age is half of the older brother's age.\n - Therefore, to find the older brother's age, we multiply the younger brother's age by 2:\n \\[\n 12 \\times 2 = 24 \\text{ years}\n \\]\n\n3. **Sum the ages of all the siblings**:\n - We now have the ages of all five siblings:\n - 2 sisters aged 16 years each: \\(2 \\times 16 = 32\\) years\n - 1 younger brother aged 12 years\n - 1 older brother aged 24 years\n - Adding these ages together gives the total age:\n \\[\n 32 + 12 + 24 = 68 \\text{ years}\n \\]\n\n**Conclusion**:\n\\[\n\\boxed{68}\n\\]", "answer": {"result": 68}}, "matches": false} +{"solution": {"solution": "Charisma meditates for 15 minutes twice a day, so she spends 15 x 2 = 30 minutes each day on meditation.\n\nIn 4 weeks, there are 4 x 7 = 28 days.\n\nFor 5 days a week, she practices yoga for 1 hour, which is 60 minutes. So, in a week, she spends 5 x 60 = 300 minutes on yoga.\n\nIn 4 weeks, she spends 300 x 4 = 1200 minutes on yoga.\n\nNow, let's calculate her total meditation time in 4 weeks. Since she meditates for 30 minutes each day, in 28 days, she spends 30 x 28 = 840 minutes on meditation.\n\nAdding the yoga time to the meditation time, Charisma spends a total of 840 (meditation) + 1200 (yoga) = $\\boxed{2040}$ minutes on meditation and yoga practice in 4 weeks.", "answer": {"result": 2040}}, "matches": false} +{"solution": {"solution": "To find the total square feet of fabric used for the quilt, we need to calculate the area for each type of t-shirt and then sum them up.\n\nFor small t-shirts:\n11 small t-shirts * 3 square feet per small t-shirt = 33 square feet\n\nFor medium t-shirts:\n8 medium t-shirts * 4 square feet per medium t-shirt = 32 square feet\n\nFor large t-shirts:\n6 large t-shirts * 6 square feet per large t-shirt = 36 square feet\n\nNow, we add the areas together to find the total square feet of fabric used for the quilt:\n33 square feet (small) + 32 square feet (medium) + 36 square feet (large) = 101 square feet\n\nThe quilt uses a total of $\\boxed{101}$ square feet of fabric.", "answer": {"result": 101}}, "matches": true} +{"solution": {"solution": "A dozen is equal to 12, so a small sunflower has 3 x 12 = 36 seeds. \n\nA large sunflower has 50% more seeds than a small sunflower, which means it has 36 x 0.50 = 18 more seeds. \n\nTherefore, a large sunflower has 36 + 18 = 54 seeds. \n\nAltogether, there are 36 + 54 = 90 sunflower seeds. \n\n#### 90\nThe answer is: 90", "answer": {"result": 90}}, "matches": true} +{"solution": {"solution": "If George has 18 pens, then Timothy, who has three times as many pens as George, has 3 * 18 = 54 pens.\n\nSarah, who has half as many pens as Timothy, has 54 / 2 = $\\boxed{27}$ pens.", "answer": {"result": 27}}, "matches": true} +{"solution": {"solution": "If Albert is 36\" tall, then Anne is 2 * 36\" = 72\" tall.\n\nSince Jackie is 2\" shorter than Anne, Jackie's height is 72\" - 2\" = 70\".\n\nIf Jackie grew 3\" over the summer, her height before the summer was 70\" - 3\" = $\\boxed{67\"}$.The answer is: 67", "answer": {"result": 67}}, "matches": true} +{"solution": {"solution": "\n1. **Determine the number of bars produced in two weeks.**\n\n The company produces 5000 bars every day. Thus, in two weeks (14 days), the number of bars produced is:\n \\[\n 5000 \\times 14\n \\]\n\n2. **Calculate the total number of bars produced in two weeks:**\n \\[\n 5000 \\times 14 = 70000\n \\]\n\n3. **Calculate the total revenue from selling these bars.**\n\n Since each bar is sold for $2, the total revenue from selling 70000 bars is:\n \\[\n 70000 \\times 2\n \\]\n\n4. **Calculate the total revenue:**\n \\[\n 70000 \\times 2 = 140000\n \\]\n\n### Conclusion:\n\nThe company will receive 140,000 dollars for selling 70,000 bars of chocolate in two weeks.\n\n\\[\n\\boxed{140000}\n\\]", "answer": {"result": 140000}}, "matches": true} +{"solution": {"solution": "\nFirst, let's calculate the cost of the T-shirts. The original price of each T-shirt is $8, and Jake buys 2 T-shirts. \n\nThe first T-shirt costs $8.\n\nFor the second T-shirt, Jake gets a 50% discount, so the discounted price is 50% of $8, which is $4.\n\nThe total cost for the T-shirts is $8 + $4 = $12.\n\nNext, let's calculate the cost of the shoes. The original price of the shoes is $40, and they are 40% off.\n\nThe discount on the shoes is 40% of $40, which is $40 * 0.40 = $16.\n\nThe discounted price of the shoes is $40 - $16 = $24.\n\nNow, let's add the cost of the T-shirts and the shoes to find the total amount of money Jake spends at the store.\n\nThe total amount spent is $12 (T-shirts) + $24 (shoes) = $36.\n\nJake spends a total of $36 at the store.\n\nAnswer:\n\n$36\n\n$36", "answer": {"result": 36}}, "matches": true} +{"solution": {"solution": "Ryan earns $6 each week for doing his chores, and he did his chores for 3 weeks. So, he has earned:\n\n$6/week * 3 weeks = $18\n\nRyan bought ice cream cones for himself and 3 friends at $1.25 each. So, the cost for 4 cones is:\n\n4 cones * $1.25/cone = $5\n\nAfter buying the ice cream cones, Ryan has:\n\n$18 - $5 = $13 left.\n\nThe tickets to the movies cost $6.50 each. To find out how many movie tickets Ryan can buy with his remaining money, we divide the amount he has left by the cost of one ticket:\n\n$13 / $6.50/ticket = 2 tickets\n\nRyan can buy $\\boxed{2}$ movie tickets with the remaining money.", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "Ellen spent $100 on leggings and $5 on a photo frame, so she spent $100 + $5 = $105 in total.\n\nLani spent $30 on sunglasses and $100 each on two bathrobes, so she spent $30 + 2 * $100 = $30 + $200 = $230 in total.\n\nTogether, Ellen and Lani spent $105 + $230 = $335 in all. \n\nThe answer is $\\boxed{335}$ .", "answer": {"result": 335}}, "matches": true} +{"solution": {"solution": "To calculate the profit Tim makes from selling 10 jars of his special honey and jam mix, we follow these steps:\n\n1. **Calculate the total cost of ingredients for one jar:**\n - Passion fruit: $6 \\, \\text{pounds/jar} \\times 2 = $12$\n - Jackfruit: $8 \\, \\text{pounds/jar} \\times 1.5 = $12$\n - Honey: $10 \\, \\text{pounds/jar} \\times 2 = $20$\n - Total cost per jar = $12 + 12 + 20 = $44$\n\n2. **Calculate the total revenue from selling 10 jars:**\n - Revenue per jar = $50$\n - Total revenue for 10 jars = $50 \\times 10 = $500$\n\n3. **Calculate the total profit:**\n - Profit per jar = Revenue per jar - Cost per jar = $50 - $44 = $6$\n - Total profit for 10 jars = Profit per jar $\\times$ Number of jars = $6 \\times 10 = $60$\n\nTherefore, the total profit Tim makes from selling 10 jars of his special honey and jam mix is $\\boxed{60}$.", "answer": {"result": 60}}, "matches": true} +{"solution": {"solution": "To find the total dollar amount in the jar, we need to calculate the value of each type of coin and then sum them up.\n\n1. **Quarters**: Each quarter is worth $0.25. With 32 quarters, the total value is:\n \\[\n 32 \\times 0.25 = 8 \\text{ dollars}\n \\]\n\n2. **Dimes**: Each dime is worth $0.10. With 95 dimes, the total value is:\n \\[\n 95 \\times 0.10 = 9.5 \\text{ dollars}\n \\]\n\n3. **Nickels**: Each nickel is worth $0.05. With 120 nickels, the total value is:\n \\[\n 120 \\times 0.05 = 6 \\text{ dollars}\n \\]\n\n4. **Pennies**: Each penny is worth $0.01. With 750 pennies, the total value is:\n \\[\n 750 \\times 0.01 = 7.5 \\text{ dollars}\n \\]\n\n5. **Total Value**: To find the total dollar amount, we sum the values from each type of coin:\n \\[\n 8 \\text{ dollars} + 9.5 \\text{ dollars} + 6 \\text{ dollars} + 7.5 \\text{ dollars} = 31 \\text{ dollars}\n \\]\n\nTherefore, the total dollar amount in the jar is $\\boxed{31}$ dollars.", "answer": {"result": 31}}, "matches": true} +{"solution": {"solution": "Janet spends $3.50 on ice cream. \nShe spends $7.50 each for movie tickets for herself and her younger sister, so that's a total of $7.50 + $7.50 = $15. \nShe also spends $8.50 on a bracelet. \nSo in total, Janet spends $3.50 + $15 + $8.50 = $27. \nIf her parents gave her $40, then she has $40 - $27 = $13 left. \n#### 13\nThe answer is: 13", "answer": {"result": 13}}, "matches": true} +{"solution": {"solution": "Josh services 3 cars per day and he is open every day of the week except Sunday and Wednesday, so he works 7 - 2 = 5 days a week.\n\nIn one week, he works 5 days, so in two weeks, he works 5 days/week * 2 weeks = 10 days.\n\nHe gets paid $4 per car, and he services 3 cars a day. So, in one day, he makes 3 cars/day * $4/car = $12/day.\n\nIn two weeks, he works 10 days, so in total, he makes 10 days * $12/day = $\\boxed{\\$120}$ .", "answer": {"result": 120}}, "matches": true} +{"solution": {"solution": "\nRandy starts with 9 oatmeal cookies, 4 chocolate chip cookies, and 5 sugar cookies.\n\nHe eats 3 cookies for an early day snack, one of each flavor, so he has 9 - 1 = 8 oatmeal cookies, 4 - 1 = 3 chocolate chip cookies, and 5 - 1 = 4 sugar cookies left.\n\nHe eats 2 oatmeal cookies for lunch, so he has 8 - 2 = 6 oatmeal cookies left.\n\nHe gives 2 sugar cookies to his friends, so he has 4 - 2 = 2 sugar cookies left.\n\nHe bakes 4 of each flavor for dinner, so he now has 6 + 4 = 10 oatmeal cookies, 3 + 4 = 7 chocolate chip cookies, and 2 + 4 = 6 sugar cookies.\n\nIn total, he has 10 + 7 + 6 = 23 cookies.\n\n#### 23\nThe answer is: 23", "answer": {"result": 23}}, "matches": true} +{"solution": {"solution": "\nTo find out how much Matthew would earn, we need to calculate the cost of half of his collection and then the cost of the other half.\n\nMatthew has 12 unique toy soldiers.\n\nHalf of his collection would be 12 / 2 = 6 toy soldiers.\n\nFor the first half, the buyer is willing to pay $5 per toy.\nSo, for 6 toys, Matthew would earn 6 * $5 = $30.\n\nThe other half of his collection would also be 6 toy soldiers.\n\nFor the second half, the buyer is willing to pay $7 per toy.\nSo, for 6 toys, Matthew would earn 6 * $7 = $42.\n\nTherefore, the total amount Matthew would earn from selling half of his collection for $5 per toy and the other half for $7 per toy is $30 + $42 = $72.\n\nAnswer:\n\n$72\n\n$72", "answer": {"result": 72}}, "matches": true} +{"solution": {"solution": "\n\nNate's dog digs 6 holes a day, so in 14 days, the dog digs a total of 6 holes/day \\* 14 days = 84 holes. \n\nWhen Nate starts filling in the holes, he fills in 9 holes a day. \n\nHowever, the dog keeps digging 6 new holes every night, so the number of holes decreases by 9 - 6 = 3 holes per day. \n\nTo calculate the number of weeks it takes to fill in all the holes, we need to find out how many days it takes to fill in 84 holes at a rate of 3 holes per day. \n\n84 holes / 3 holes per day = 28 days \n\nSince there are 7 days in a week, we divide 28 days by 7 to find out how many weeks it takes: \n\n28 days / 7 days per week = 4 weeks \n\nTherefore, it takes Nate 4 weeks to fill in all the holes. \n\n#### 4\nThe answer is: 4", "answer": {"result": 4}}, "matches": true} +{"solution": {"solution": "To determine how much greater the average enrollment is at Norman High School compared to Butler High School, we follow these steps:\n\n1. Calculate the average enrollment at Butler High School:\n - Butler High School enrolls $3/4$ as many students as Norman High School.\n - Norman High School enrolls $4000$ students.\n - Therefore, Butler High School enrolls $4000 \\times \\frac{3}{4} = 3000$ students.\n\n2. Find the difference in enrollment between Norman High School and Butler High School:\n - The difference in enrollment is $4000 - 3000 = 1000$.\n\nThus, the average enrollment at Norman High School is $\\boxed{1000}$ students greater than the enrollment at Butler High School.", "answer": {"result": 1000}}, "matches": true} +{"solution": {"solution": "To find out how many chocolate chip cookies the Adams family has made, we need to subtract the number of rainbow and oatmeal cookies from the total number of cookies.\n\nTotal cookies made = 7995\nRainbow cookies = 2595\nOatmeal cookies = 3075\n\nChocolate chip cookies = Total cookies made - (Rainbow cookies + Oatmeal cookies)\nChocolate chip cookies = 7995 - (2595 + 3075)\nChocolate chip cookies = 7995 - 5670\nChocolate chip cookies = 2325\n\nThe Adams family has made $\\boxed{2325}$ chocolate chip cookies.", "answer": {"result": 2325}}, "matches": true} +{"solution": {"solution": "Let's start by determining the number of test tubes and Petri dishes Igor actually gathered.\n\nIgor gathered half as many test tubes as requested, so he gathered 16 / 2 = 8 test tubes.\n\nHe gathered two more than the number of Petri dishes requested, so he gathered 14 + 2 = 16 Petri dishes.\n\nNow, we know the total number of items Igor had placed on the lab bench was 29. This total includes the test tubes, beakers, and Petri dishes.\n\nLet's denote the number of beakers Igor had as B.\n\nSo, the total number of items is the sum of test tubes, beakers, and Petri dishes:\n8 (test tubes) + B (beakers) + 16 (Petri dishes) = 29 (total items)\n\nNow, we can solve for B:\n8 + B + 16 = 29\nB + 24 = 29\nB = 29 - 24\nB = 5\n\nIgor lost 5 - 7 = $\\boxed{2}$ beakers.", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "Each table has 4 legs, and each leg needs 2 screws, so each table requires 4 x 2 = 8 screws.\n\nJames is putting together 4 tables, so he needs 4 x 8 = 32 screws in total.\n\nHe has 40 screws, so he will have 40 - 32 = $\\boxed{8}$ screws left over.The answer is: 8", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "If there are 10 eggs in the first basket, and the second basket has twice as many eggs, then the second basket has 10 x 2 = 20 eggs. \n\nTo find the total number of eggs in both baskets, we add the number of eggs in each basket: 10 + 20 = 30. \n\nSo, there are $\\boxed{30}$ eggs in both baskets put together.The answer is: 30", "answer": {"result": 30}}, "matches": true} +{"solution": {"solution": "To find the total amount of money raised by all the girls, we need to calculate the amount raised by each girl and then sum them up.\n\n1. **Calculate the amount raised by Alexandra:**\n - Alexandra raises $430.\n\n2. **Calculate the amount raised by Kim:**\n - Kim raises $320 more than Alexandra.\n - Therefore, Kim's amount = Alexandra's amount + $320.\n - Kim's amount = $430 + $320 = $750.\n\n3. **Calculate the amount raised by Sarah:**\n - Sarah raises $300.\n\n4. **Calculate the amount raised by Maryam:**\n - Maryam raises $400 more than Sarah.\n - Therefore, Maryam's amount = Sarah's amount + $400.\n - Maryam's amount = $300 + $400 = $700.\n\n5. **Sum up the amounts raised by all girls:**\n - Total amount = Alexandra's amount + Kim's amount + Sarah's amount + Maryam's amount.\n - Total amount = $430 + $750 + $300 + $700 = $2180.\n\nTherefore, the total amount of money raised by the girls is $\\boxed{2180}$ dollars.", "answer": {"result": 2180}}, "matches": false} +{"solution": {"solution": "Let's denote Vanessa's speed as V miles per minute and Aaron's speed as A miles per minute.\n\nAccording to the problem, Aaron runs each mile twice as fast as Vanessa, so we can write:\nA = 2V\n\nIt is also given that Vanessa can run twice as far as Aaron, so:\n2 * A = V\n\nWe know that Aaron completed his part of the race in 16 minutes, which means he ran 16 minutes * A miles per minute.\n\nA = 16 minutes\n\nUsing the relationship A = 2V, we can find Vanessa's speed:\n2V = 16\nV = 16 / 2\nV = 8 miles per minute\n\nNow, we know Vanessa ran 4 miles, and her speed is 8 miles per minute. To find the time it took her to run 4 miles, we use the formula:\nTime = Distance / Speed\n\nTime = 4 miles / 8 miles per minute\nTime = 1 / 2 minutes\nTime = 30 seconds\n\nSince the question asks for the time in minutes, we convert 30 seconds to minutes:\n30 seconds = 30 / 60 minutes\n30 seconds = 0.5 minutes\n\nTherefore, Vanessa took 0.5 minutes to complete her part of the race.\n\nFinal answer: Vanessa took 0.5 minutes to complete her part of the race.\n\nAnswer: \\boxed{0.5}", "answer": {"result": 0.5}}, "matches": false} +{"solution": {"solution": "The caretaker currently has 6 feet of new line.\n\nHe wants 3 feet of line for every foot of dock.\n\nThere are 200 feet of dock.\n\nTo find out how many feet of line he needs in total, we can calculate it as follows:\n\nFor each foot of dock, he needs 3 feet of line.\n\nSo for 200 feet of dock, he would need:\n200 feet of dock * 3 feet of line per foot of dock = 600 feet of line\n\nSince he already has 6 feet of new line, he needs to buy:\n600 feet total needed - 6 feet already have = 594 feet of line\n\nTherefore, he needs to buy $\\boxed{594}$ feet of line in total.", "answer": {"result": 594}}, "matches": true} +{"solution": {"solution": "Tom's restaurant gets 6 reservations per night, and they are open 2 days a week, so they get a total of 6 x 2 = 12 reservations per week.\nEach reservation consists of 2 meals that cost $5 each, so the total cost of the meals per reservation is 2 x $5 = $10.\nEach reservation also includes a $5 bottle of wine, so the total cost per reservation is $10 + $5 = $15.\nTherefore, Tom's restaurant makes $15 x 12 = $180 per week.\n#### 180\nThe answer is: 180", "answer": {"result": 180}}, "matches": true} +{"solution": {"solution": "If the fruit vendor bought 50 watermelons for $80, then the cost of each watermelon is $80/50 = $1.60. \n\nThe vendor sold each watermelon at a profit of 25%, so the selling price of each watermelon is $1.60 + ($1.60 * 25%) = $1.60 + ($1.60 * 0.25) = $1.60 + $0.40 = $2.00. \n\nTherefore, each watermelon was sold for $2.00. \n#### 2\nThe answer is: 2", "answer": {"result": 2}}, "matches": true} +{"solution": {"solution": "\nFirst, let's determine Dora's current age. Dora will turn 12 in 3 years, so her current age is 12 - 3 = 9 years old.\n\nNext, let's determine James' current age. James is twice as old as Dora, so James is 2 * 9 = 18 years old.\n\nNow, let's determine John's current age. John had James when he was 19, and James is currently 18, so John is 19 + 18 = 37 years old.\n\nFinally, let's determine the age of John's youngest son. John's youngest son was born when John was 32, so John's youngest son is currently 37 - 32 = 5 years old.\n\nIn 3 years, John's youngest son will be 5 + 3 = 8 years old.\n\n#### 8\nThe answer is: 8", "answer": {"result": 8}}, "matches": true} +{"solution": {"solution": "In one hour, there are 60 minutes. \nAna spends 3 minutes per orange, so in 60 minutes, she can peel 60/3 = 20 oranges.\nJane spends 4 minutes per orange, so in 60 minutes, she can peel 60/4 = 15 oranges.\nTherefore, Ana will have peeled 20-15 = 5 more oranges than Jane after an hour.\n#### 5\nThe answer is: 5", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "The cost of the new radiator is $400.\nHe gets it for 80% off, so he pays 100% - 80% = 20% of the original price.\n20% of $400 is 0.20 * $400 = $80.\nHe pays $80 for the radiator.\nThe mechanic charges $50 per hour and it takes 3 hours to install the radiator.\nSo, the labor cost is 3 * $50 = $150.\nIn total, Mark pays $80 for the radiator + $150 for labor = $230.\n#### 230\nThe answer is: 230", "answer": {"result": 230}}, "matches": true} +{"solution": {"solution": "I know that chickens have 2 legs each and cows have 4 legs each, so I can use that information to set up a system of equations. Let x be the number of chickens and y be the number of cows. Then I have x + y = 20, since that's the total number of animals. And I have 2x + 4y = 70, since that's the total number of legs. I can simplify the second equation by dividing both sides by 2, and get x + 2y = 35. Now I have two equations and two variables, so I can use elimination to solve for x. If I subtract the first equation from the second, I get y = 15, since x + y = 20 and x - x = 0. So there are 15 cows on the farm. To find x, I can plug y = 15 into either equation. I'll use the first one. So x + 15 = 20, and x = 5. So there are 5 chickens on the farm.", "answer": {"result": 5}}, "matches": true} +{"solution": {"solution": "\nHenry and his 3 friends make a total of 1 + 3 = 4 people. \nThey have 7 pizzas, and each pizza is cut into 8 slices, so there are a total of 7 x 8 = 56 slices. \nIf they want to share the pizzas equally, each person can have 56 / 4 = 14 slices. \nTherefore, each of them can have 14 slices. \n#### 14\nThe answer is: 14", "answer": {"result": 14}}, "matches": true} + + diff --git a/src/pdl/pdl_dumper.py b/src/pdl/pdl_dumper.py index 617ddf1b..4133389e 100644 --- a/src/pdl/pdl_dumper.py +++ b/src/pdl/pdl_dumper.py @@ -282,7 +282,7 @@ def as_json(value: Any) -> JsonType: def parser_to_dict(parser: ParserType) -> str | dict[str, Any]: p: str | dict[str, Any] match parser: - case "json" | "yaml": + case "json" | "yaml" | "jsonl": p = parser case RegexParser(): p = parser.model_dump() diff --git a/tests/results/examples/chatbot/chatbot.13.result b/tests/results/examples/chatbot/chatbot.13.result new file mode 100644 index 00000000..85fc5d12 --- /dev/null +++ b/tests/results/examples/chatbot/chatbot.13.result @@ -0,0 +1,2 @@ +What is APR?APR stands for Annual Percentage Rate. It is the annual interest rate charged for borrowing or earned through an investment, and it reflects the cost of a loan on an annual basis, including fees and compounding interest.yes + diff --git a/tests/results/examples/demo/4-translator.13.result b/tests/results/examples/demo/4-translator.13.result new file mode 100644 index 00000000..9b182c67 --- /dev/null +++ b/tests/results/examples/demo/4-translator.13.result @@ -0,0 +1,5 @@ +What is APR? +APR stands for Annual Percentage Rate. It is the annual interest rate charged for borrowing or earned through an investment, and it represents the actual yearly cost of funds over the term of a loan. It includes any fees or additional costs associated with the transaction.french + +Translate the above to french +"APR" signifie "Taux Annuel Équivalent" en français. Il est le taux d'intérêt annuel chargé pour emprunter ou gagné à travers une investissement, et il représente le coût réel annuer des fonds sur la durée d'un prêt. Il inclut toutes les frais ou coûts supplémentaires associés à la transaction.stop diff --git a/tests/results/examples/fibonacci/fib.13.result b/tests/results/examples/fibonacci/fib.13.result new file mode 100644 index 00000000..efa8f005 --- /dev/null +++ b/tests/results/examples/fibonacci/fib.13.result @@ -0,0 +1,45 @@ +Here is a simple Python function to compute the Fibonacci sequence: + +```python +def fibonacci(n): + if n <= 0: + return "Input should be a positive integer." + elif n == 1: + return 0 + elif n == 2: + return 1 + else: + a, b = 0, 1 + for _ in range(n - 2): + a, b = b, a + b + return b +``` + +This function takes an integer `n` as input and returns the `n`th number in the Fibonacci sequence. The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones, usually starting with 0 and 1. +Find a random number between 1 and 20 +15 +Now computing fibonacci(15) + +def fibonacci(n): + if n <= 0: + return "Input should be a positive integer." + elif n == 1: + return 0 + elif n == 2: + return 1 + else: + a, b = 0, 1 + for _ in range(n - 2): + a, b = b, a + b + return b +The result is: 377 + +Explain what the above code does and what the result means + +The provided code is a Python function named `fibonacci(n)` that calculates the `n`th number in the Fibonacci sequence. The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones, usually starting with 0 and 1. + +The function takes an integer `n` as input and returns the `n`th number in the Fibonacci sequence. If the input is not a positive integer, the function returns an error message. + +In this case, the function is called with the argument `15`, which means it will calculate the 15th number in the Fibonacci sequence. The result of this calculation is `377`. + +So, the number 377 is the 15th number in the Fibonacci sequence. diff --git a/tests/results/examples/hello/hello-model-chaining.13.result b/tests/results/examples/hello/hello-model-chaining.13.result new file mode 100644 index 00000000..fbfe2551 --- /dev/null +++ b/tests/results/examples/hello/hello-model-chaining.13.result @@ -0,0 +1,4 @@ +Hello +Hello +Did you say Hello? +Yes, I did say Hello diff --git a/tests/results/examples/hello/hello-roles-array.13.result b/tests/results/examples/hello/hello-roles-array.13.result new file mode 100644 index 00000000..e6a22271 --- /dev/null +++ b/tests/results/examples/hello/hello-roles-array.13.result @@ -0,0 +1,40 @@ +Here is a Python function that implements the merge sort algorithm: + +```python +def merge_sort(arr): + # Base case: if the input array has 1 or 0 elements, it's already sorted + if len(arr) <= 1: + return arr + + # Recursive case: split the array into two halves, sort them, and then merge them + mid = len(arr) // 2 + left_half = arr[:mid] + right_half = arr[mid:] + + left_half = merge_sort(left_half) + right_half = merge_sort(right_half) + + return merge(left_half, right_half) + +def merge(left, right): + merged = [] + left_index = 0 + right_index = 0 + + # Merge the two sorted halves into a single sorted array + while left_index < len(left) and right_index < len(right): + if left[left_index] < right[right_index]: + merged.append(left[left_index]) + left_index += 1 + else: + merged.append(right[right_index]) + right_index += 1 + + # Add any remaining elements from the left and right halves + merged.extend(left[left_index:]) + merged.extend(right[right_index:]) + + return merged +``` + +This function first checks if the input array has 1 or 0 elements, in which case it's already sorted. If not, it splits the array into two halves, sorts them recursively, and then merges them back together using the `merge` function. The `merge` function compares elements from the left and right halves and adds them to the `merged` array in sorted order. diff --git a/tests/results/examples/talk/2-model-chaining.13.result b/tests/results/examples/talk/2-model-chaining.13.result new file mode 100644 index 00000000..83dc4cb2 --- /dev/null +++ b/tests/results/examples/talk/2-model-chaining.13.result @@ -0,0 +1,4 @@ +Hello +Hello +Did you just say Hello? +Yes, I did. I'm here to assist you. diff --git a/tests/results/examples/talk/7-chatbot-roles.13.result b/tests/results/examples/talk/7-chatbot-roles.13.result new file mode 100644 index 00000000..df9a9f6a --- /dev/null +++ b/tests/results/examples/talk/7-chatbot-roles.13.result @@ -0,0 +1,8 @@ +Type `quit` to exit this chatbot. +APR stands for Annual Percentage Rate. It is the annual interest rate charged for borrowing or earned through an investment, and it represents the true cost of borrowing or the actual annual return earned from an investment. APR is expressed as a percentage and includes the interest rate, fees, and other charges associated with a loan or investment. It is used to help consumers compare the cost of borrowing or the return on investment between different financial products. + + + +I'm sorry to see you go. If you have any more questions in the future, don't hesitate to ask. Have a great day! + + diff --git a/tests/results/examples/tutorial/conditionals_loops.13.result b/tests/results/examples/tutorial/conditionals_loops.13.result new file mode 100644 index 00000000..9ebe46fe --- /dev/null +++ b/tests/results/examples/tutorial/conditionals_loops.13.result @@ -0,0 +1,9 @@ +APR stands for Annual Percentage Rate. It is the annual interest rate charged for borrowing or earned through an investment, and it represents the actual yearly cost of funds over the term of a loan. It includes any fees or additional costs associated with the transaction.Say it as a poemAPR, a number so grand, +Annual Percentage Rate, in a loan's command. +It's the yearly cost, fees included, +In a loan's term, it's the rule, not the exception. + +It's the interest rate, in a nutshell, +For borrowing or investing, it's the tell. +So, when you see APR, don't be alarmed, +It's just a number, not a storm. diff --git a/tests/results/examples/tutorial/grouping_definitions.13.result b/tests/results/examples/tutorial/grouping_definitions.13.result new file mode 100644 index 00000000..28d5bc46 --- /dev/null +++ b/tests/results/examples/tutorial/grouping_definitions.13.result @@ -0,0 +1,2 @@ +The sentence 'I love Paris!' translates to 'Je t'aime, Paris!' in French. +The sentence 'I love Madrid!' translates to 'Me encanta Madrid!' in Spanish. diff --git a/tests/results/examples/tutorial/model_chaining.13.result b/tests/results/examples/tutorial/model_chaining.13.result new file mode 100644 index 00000000..83dc4cb2 --- /dev/null +++ b/tests/results/examples/tutorial/model_chaining.13.result @@ -0,0 +1,4 @@ +Hello +Hello +Did you just say Hello? +Yes, I did. I'm here to assist you. diff --git a/tests/results/examples/tutorial/muting_block_output.13.result b/tests/results/examples/tutorial/muting_block_output.13.result new file mode 100644 index 00000000..314e8f70 --- /dev/null +++ b/tests/results/examples/tutorial/muting_block_output.13.result @@ -0,0 +1 @@ +The french sentence was: The translation of 'I love Paris!' in French is 'Je t'aime, Paris!' diff --git a/tests/test_examples_run.py b/tests/test_examples_run.py index 49114a37..c3f89745 100644 --- a/tests/test_examples_run.py +++ b/tests/test_examples_run.py @@ -13,6 +13,8 @@ from pdl.pdl_parser import PDLParseError UPDATE_RESULTS = False +RESULTS_VERSION = 14 + TO_SKIP = { str(name) @@ -33,6 +35,10 @@ pathlib.Path("examples") / "rag" / "rag.pdl", pathlib.Path("examples") / "react" / "react_call.pdl", pathlib.Path("examples") / "callback" / "repair_prompt.pdl", + pathlib.Path("examples") / "gsm8k" / "math.pdl", + pathlib.Path("examples") / "gsm8k" / "math_no_sd.pdl", + pathlib.Path("pdl-live-react") / "demos" / "error.pdl", + pathlib.Path("pdl-live-react") / "demos" / "demo1.pdl", ] } @@ -183,9 +189,12 @@ def test_valid_programs(capsys: CaptureFixture[str], monkeypatch: MonkeyPatch) - expected_result = str(result_file.read()) if str(result).strip() == expected_result.strip(): wrong_result = False + break if wrong_result: if UPDATE_RESULTS: - result_file_name_0 = pdl_file_name.stem + ".12.result" + result_file_name_0 = ( + pdl_file_name.stem + "." + str(RESULTS_VERSION) + ".result" + ) result_dir_name.mkdir(parents=True, exist_ok=True) with open( result_dir_name / result_file_name_0, "w", encoding="utf-8" @@ -200,6 +209,7 @@ def test_valid_programs(capsys: CaptureFixture[str], monkeypatch: MonkeyPatch) - if str(pdl_file_name) not in set(str(p) for p in EXPECTED_RUNTIME_ERROR): print(exc) # unexpected error: breakpoint actual_runtime_error |= {str(pdl_file_name)} + print(exc) # Parse errors expected_parse_error = set(str(p) for p in EXPECTED_PARSE_ERROR) unexpected_parse_error = sorted(list(actual_parse_error - expected_parse_error))