[Question]The PTA had saved $400 set aside after a fundraising event. They spent a fourth of the money on school supplies. Then they spent half of what was left on food for the faculty. How much money did they have left?
[Answer]They spent $400 / 4 = $100 on school supplies. They spent $300 / 2 = $150 on food. They had $300 - 150 = $150 left. The answer is 150.
Q: After working out for 3 hours, three friends go out for lunch. Adam spends two-thirds as much money on lunch as Rick. Rick and Jose eat lunch of the same price. If Jose ate lunch worth $45, what is the cost of lunch for all three?
A: Since Rick and Jose's lunch cost was the same, Adam spent 2 / 3 * 45 = $30 on his lunch. The three friends ate food worth 30 + 45 + 45 = $120. The answer is 120.
Question: Brenda raises mice, and her adult mice recently had three litters of 8 each. She gave a sixth of the baby mice to her friend Robbie to keep as pets. She sold three times the number of babies she gave Robbie to a pet store. Half of the remaining mice were sold to snake owners as feeder mice. How many baby mice did Brenda have left?
Answer: Brenda's mice had 3 * 8 = 24 baby mice. She gave Robbie 24 / 6 = 4 mice. Thus, she sold 3 * 4 = 12 mice to the pet store. She had 24 - 12 - 4 = 8 mice remaining. She sold 8 / 2 = 4 as feeder mice. Thus, Brenda had 8 - 4 = 4 mice left. The answer is 4.
[Question]John with his five friends ordered 3 pizzas. Each pizza had 8 slices. If they all finished and ate the same amount of pizzas, how many slices did each person eat?
[Answer]There were 3 x 8 = 24 slices of pizza. Since there were 6 persons, then each person ate 24 / 6 = 4 slices. The answer is 4.
Q: Andrea buys herself a pony for her 30th birthday. She pays $500/month to rent a pasture for it, $10 a day for food, and $60/lesson for two lessons a week. How much does she spend on her pony in a year?
A: First find the annual cost of food: $10 / day * 365 days = $3650. Then find how much she spends a week on lessons: $60 / lesson * 2 lessons = $120. Then multiply that weekly cost by the number of weeks per year to find the annual cost: $120 / week * 52 weeks / year = $6240. Then find the annual cost of the pasture: $500 / month * 12 months / year = $6000. Then add all the costs to find the total cost: $6000 + $6240 + $3650 = $15890. The answer is 15890.
Question: Yuan is 7 years older than his brother David and twice his age. How old is David?
Answer:
Let x be David's age. Yuan is seven years older than David, 7 + x = Y years. Yuan is also twice David's age, 2 * x = Y years. Since these two equations equal the same thing, we can write: 7 + x = 2 * x. Subtracting x from both sides we get 7 = x, so David is 7 years old. The answer is 7.