Q: Jame gets 20 singing lessons. He gets the first lesson free and after the first 10 paid lessons he only needs to pay for every other lesson. Each lesson is $5. His uncle pays for half. How much does James pay?
A: 35
Step-by-step reasoning process: The first lesson is free. The lessons 2 to 11 cost 10 * $5 = $50. He then had 9 remaining lessons where he had to pay for every other one. So he pays for lessons 13,15,17&19 = 4 lessons. Those lessons cost 4 * $5 = $20. So in total, the cost was $50 + $20 = $70. So he paid $70 / 2 = $35.


Q: Joey has 30 pages to read for history class tonight. He decided that he would take a break when he finished reading 70% of the pages assigned. How many pages must he read after he takes a break?
A: 9
Step-by-step reasoning process: Joey will take a break after 30 * 0.7 = 21 pages. Joey will have to read 30 - 21 = 9 pages more.


Q: Candace is trying to decide whether to wear her old shoes or new high-tech shoes for a hike. The high-tech shoes will help Candace walk twice as fast, but they're not broken in yet, so she'll get 1 blister after every 2 hours she spends walking in them. Each blister slows Candance down by 2 miles per hour. If Candance walks 6 miles per hour in the old shoes and plans to hike for 4 hours, how many miles per hour can she go in the new shoes?
A: 11
Step-by-step reasoning process: Wearing the high - tech shoes, Candace can hike 6 mph * 2 = 12 mph for the first two hours. Then she gets one blister, so her speed drops to 12 mph - 2 mph = 10 mph for the next two hours of the hike. After that time Candace gets another blister, but 2 hours + 2 hours = 4 hours, so the hike is over and we don't care about her speed anymore. Candace spends an equal amount of time walking at 12 mph and 10 mph, so we can average the two speeds to find an overall speed of (12 mph + 10 mph) / 2 = 11 mph.


Q: James is a first-year student at a University in Chicago. He has a budget of $1000 per semester. He spends 30% of his money on food, 15% on accommodation, 25% on entertainment, and the rest on coursework materials. How much money does he spend on coursework materials?
A: 300

Step-by-step reasoning process: Accommodation is 15% * $1000 = $150. Food is     30% * $1000 = $300. Entertainment is  25% * $1000 = $250. Coursework materials are thus $1000 - ($150 + $300 + $250) = $300.
Q: Jame gets 20 singing lessons. He gets the first lesson free and after the first 10 paid lessons he only needs to pay for every other lesson. Each lesson is $5. His uncle pays for half. How much does James pay?
A: 35
Step-by-step reasoning process: The first lesson is free. The lessons 2 to 11 cost 10 * $5 = $50. He then had 9 remaining lessons where he had to pay for every other one. So he pays for lessons 13,15,17&19 = 4 lessons. Those lessons cost 4 * $5 = $20. So in total, the cost was $50 + $20 = $70. So he paid $70 / 2 = $35.


Q: Joey has 30 pages to read for history class tonight. He decided that he would take a break when he finished reading 70% of the pages assigned. How many pages must he read after he takes a break?
A: 9
Step-by-step reasoning process: Joey will take a break after 30 * 0.7 = 21 pages. Joey will have to read 30 - 21 = 9 pages more.


Q: Candace is trying to decide whether to wear her old shoes or new high-tech shoes for a hike. The high-tech shoes will help Candace walk twice as fast, but they're not broken in yet, so she'll get 1 blister after every 2 hours she spends walking in them. Each blister slows Candance down by 2 miles per hour. If Candance walks 6 miles per hour in the old shoes and plans to hike for 4 hours, how many miles per hour can she go in the new shoes?
A: 11
Step-by-step reasoning process: Wearing the high - tech shoes, Candace can hike 6 mph * 2 = 12 mph for the first two hours. Then she gets one blister, so her speed drops to 12 mph - 2 mph = 10 mph for the next two hours of the hike. After that time Candace gets another blister, but 2 hours + 2 hours = 4 hours, so the hike is over and we don't care about her speed anymore. Candace spends an equal amount of time walking at 12 mph and 10 mph, so we can average the two speeds to find an overall speed of (12 mph + 10 mph) / 2 = 11 mph.


Q: James is a first-year student at a University in Chicago. He has a budget of $1000 per semester. He spends 30% of his money on food, 15% on accommodation, 25% on entertainment, and the rest on coursework materials. How much money does he spend on coursework materials?
A: 300

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Step-by-step reasoning process: Accommodation is 15% * $1000 = $150. Food is     30% * $1000 = $300. Entertainment is  25% * $1000 = $250. Coursework materials are thus $1000 - ($150 + $300 + $250) = $300.
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Q: Jame gets 20 singing lessons. He gets the first lesson free and after the first 10 paid lessons he only needs to pay for every other lesson. Each lesson is $5. His uncle pays for half. How much does James pay?
A: 35
Step-by-step reasoning process: The first lesson is free. The lessons 2 to 11 cost 10 * $5 = $50. He then had 9 remaining lessons where he had to pay for every other one. So he pays for lessons 13,15,17&19 = 4 lessons. Those lessons cost 4 * $5 = $20. So in total, the cost was $50 + $20 = $70. So he paid $70 / 2 = $35.


Q: Joey has 30 pages to read for history class tonight. He decided that he would take a break when he finished reading 70% of the pages assigned. How many pages must he read after he takes a break?
A: 9
Step-by-step reasoning process: Joey will take a break after 30 * 0.7 = 21 pages. Joey will have to read 30 - 21 = 9 pages more.


Q: Candace is trying to decide whether to wear her old shoes or new high-tech shoes for a hike. The high-tech shoes will help Candace walk twice as fast, but they're not broken in yet, so she'll get 1 blister after every 2 hours she spends walking in them. Each blister slows Candance down by 2 miles per hour. If Candance walks 6 miles per hour in the old shoes and plans to hike for 4 hours, how many miles per hour can she go in the new shoes?
A: 11
Step-by-step reasoning process: Wearing the high - tech shoes, Candace can hike 6 mph * 2 = 12 mph for the first two hours. Then she gets one blister, so her speed drops to 12 mph - 2 mph = 10 mph for the next two hours of the hike. After that time Candace gets another blister, but 2 hours + 2 hours = 4 hours, so the hike is over and we don't care about her speed anymore. Candace spends an equal amount of time walking at 12 mph and 10 mph, so we can average the two speeds to find an overall speed of (12 mph + 10 mph) / 2 = 11 mph.


Q: James is a first-year student at a University in Chicago. He has a budget of $1000 per semester. He spends 30% of his money on food, 15% on accommodation, 25% on entertainment, and the rest on coursework materials. How much money does he spend on coursework materials?
A: 300

Step-by-step reasoning process: Accommodation is 15% * $1000 = $150. Food is     30% * $1000 = $300. Entertainment is  25% * $1000 = $250. Coursework materials are thus $1000 - ($150 + $300 + $250) = $300.