Q: Apollo pulls the sun across the sky every night. Once a month, his fiery chariot’s wheels need to be replaced. He trades golden apples to Hephaestus the blacksmith to get Hephaestus to make him new wheels. Hephaestus raised his rates halfway through the year and now demands twice as many golden apples as before. He charged three golden apples for the first six months. How many golden apples does Apollo have to pay for the entire year of chariot wheels?
A: Apollo had to pay 3 * 6 = 18 golden apples for the first six months. For the second six months, he had to pay twice that amount, or 18 * 2 = 36 golden apples. Thus, Apollo had to pay 18 + 36 = 54 golden apples for a year of chariot wheels. The answer is 54.
Question: Tyson played basketball on the schoolyard. He scored three points fifteen times, and two points twelve times. He also scored one point some number of times. How many times did he score one point, if in total he scored 75 points?
Answer: Tyson scored three points fifteen times, which would be 3 * 15 = 45 points. He also scored two points twelve times, which would give him a score of 2 * 12 = 24. So Tyson scored 75 - 45 - 24 = 6 points, by one point each. The answer is 6.
[Question]The sum of the ages of three boys is 29. If two of the boys are the same age and the third boy is 11 years old, how old are the other two boys?
[Answer]The third boy is 11 so the sum of the ages of the first two is 29 - 11 = 18. The ages of the first two boys are equal so each of them is 18 / 2 = 9 years. The answer is 9.
Q: A man loves to go hiking. He knows that he has to pack about .5 pounds of supplies for every mile he hikes. He plans to go for a very long hike. He knows that he can get 1 resupply during the hike that will be 25% as large as his first pack. He can hike at a rate of 2.5 mph. He is going to hike 8 hours a day for 5 days. How much does he need to bring with his first pack?
A: He is going to hike 8 * = 40 hours. That means he will be hiking for 40 * 2.5 = 100 miles. So he needs 100 * .5 = 50 pounds of supplies. With the resupply he can get up to 1 + .25 = 1.25 times his initial pack. That means his initial pack has to weigh 50 / 1.25 = 40 pounds. The answer is 40.
Question: Tom went to the store to buy fruit. Lemons cost $2, papayas cost $1, and mangos cost $4. For every 4 fruits that customers buy, the store offers a $1 discount. Tom buys 6 lemons, 4 papayas, and 2 mangos. How much will he pay?
Answer: For 6 lemons, Tom will pay 6 * 2 = $12. For 3 papayas, he will pay 3 * 1 = $3. For 2 mangos, he will pay 2 * 4 = $8. In total, the cost of the fruits before discount is 12 + 4 + 8 = $24. The total number of fruits is 6 + 4 + 2 = 12 fruits. For 12 fruits, Tom gets a discount of 12 / 4 = $3. Subtracting the discount offered by the store, Tom will pay 24 - 3 = $21. The answer is 21.
Q: Jasmine wants to organize her books in order of most number of pages to least number of pages. Jasmine's longest book has 396 pages and her shortest book has one-fourth as many pages as the longest. If the book in the middle of her shelf has three times the number of pages of the shortest book, then how many pages does the middle book have?
A:
Jasmine's shortest book is 1 / 4 * 396 pages = 99 pages long. The middle book is 3 * 99 pages = 297 pages long. The answer is 297.