[Question]A farmer living in the countryside has a certain number of children. One day, they followed him to the farm, each one with a bag to collect harvested apples. At the end of the day, each bag was filled with 15 apples each. On their way back home, 2 of the children have eaten 4 apples each and another child sold 7 of his apples. If they had a total of 60 apples left by the time they got home, how many children does the farmer have?
[Answer]2 children sold 4 apples each which gives 2 * 4 = 8 apples. Another child gave out an additional 7 apples making 8 + 7 = 15 apples removed from the total. There were 60 apples left after these, so the original total must have been 15 + 60 = 75 apples. Each child collected 15 apples so there are 75 / 15 = 5 children. The answer is 5.
Q: Mark constructs a cube of pure gold. The cube is 6 cm on each side. The density of gold is 19 grams per cubic centimeter. He buys the gold for $60 per gram. He sells it for 1.5 times its gold value. What was the profit?
A: The cube is 6 * 6 * 6 = 216 cubic cm. So it has a mass of 216 * 19 = 4104 grams. So it uses 60 * 4104 = $246240. That means he sells it for 246240 * 1.5 = $369360. So he has a profit of 369360 - 246240 = $123,120. The answer is 123120.
Question: Jude is trading his bottle cap collection to Arthur for some of Arthur's matchbox vehicles. Arthur charges Jude 5 bottle caps for a car and 6 bottle caps for a truck. Jude has 100 bottle caps. If he buys 10 trucks and spends 75% of his remaining bottle caps on cars, how many total matchbox vehicles does he buy?
Answer: The trucks cost 60 bottle caps because 10 x 6 = 60. He has 40 bottle caps left because 100 - 60 = 40. He spends 30 bottle caps on cars because 40 x .75 = 30. He gets 6 cars with this because 30 / 5 = 6. He gets 16 vehicles in total because 10 + 6 = 16. The answer is 16.
[Question]John's grill messes up and burns half his steak. He eats 80% of what isn't burned. If the steak was originally 30 ounces how much steak did he eat?
[Answer]There were 30 * .5 = 15 ounces of unburnt steak. So he ate 15 * .8 = 12 ounces of steak. The answer is 12.
Q: Hana sold 4/7 of her stamp collection for $28. How much would she have earned from selling the entire collection?
A: Hana sold 4 / 7 of her collection for $28, so 1 / 7 of her collection represents: 28 / 4 = $7. And as a result, the entire collection represents: 7 * 7 = $49. The answer is 49.
Question: James takes a spinning class 3 times a week. He works out for 1.5 hours each class and burns 7 calories per minute. How many calories does he burn per week?
Answer:
He works out for 1.5 * 60 = 90 minutes per class. So he burns 90 * 7 = 630 calories per class. That means he burns 630 * 3 = 1890 calories per week. The answer is 1890.