Q: Paul makes pencils, making 100 pencils a day five days a week. He started the week with 80 pencils in his stock, and during the week he sold 350 pencils. How many pencils did he have in his stock at the end of the week?
A: Making 100 pencils a day, he made 100 pencils / day * 5 days / week = 500 pencils during the week. With the pencils from the stock, he got 500 pencils + 80 pencils = 580 pencils. Subtracting the ones he sold, he has 580 pencils - 350 pencils = 230 pencils. The answer is 230.
Question: Frank spent 1/5 of his money to buy groceries. He then spent 1/4 of the remaining money to buy a magazine. If he had $360 left in his wallet, how much money did he have at first?
Answer: Let X be the money Frank had originally. Frank spent 1 / 5 * X on groceries. Frank spent 1 / 4 * (X - 1 / 5 * X) on a magazine. Frank has X - 1 / 5 * X - 1 / 4 * (X - 1 / 5 * X) = $360 left in his wallet. Multiplying through the parentheses, we get X - 1 / 5 * X - 1 / 4 * X + 1 / 20 * X = $360. Combining like terms, we get 12 / 20 * X = $360. Dividing both sides by 12 / 20, we get X = $600. The answer is 600.
[Question]James decides to buy himself a new barbell. It cost 30% more than his old $250 barbell. How much did it cost?
[Answer]It cost 250 * .3 = $75 more than his old barbell. So it cost 250 + 75 = $325. The answer is 325.
Q: Kim drives 30 miles to her friend's house. On the way back she has to take a detour that is 20% longer. She spends 30 minutes at her friend's house. She drives at a speed of 44 mph. How long did she spend away from home?
A: The trip back was 30 * .2 = 6 miles longer than the trip there. So it was 30 + 6 = 36 miles. So the total drive was 30 + 36 = 66 miles. That means she drove for 66 / 44 = 1.5 hours. She stayed with her friend 30 / 60 = .5 hours. So the total time was 1.5 + .5 = 2 hours. The answer is 2.
Question: Jane is looking at a tree. At the same time, the tree and Jane are casting shadows - the tree of 10 meters and Jane of 0.5 meters. Jane is 1.5 meters tall. How tall is the tree?
Answer: The shadow of Jane is 1.5 / 0.5 = 3 times smaller than her height. The height of the tree is therefore 3 times bigger than the shadow, so it's 3 * 10 = 30 meters tall. The answer is 30.
Q: Darlene's car gets 20 miles/gallon. Martha's car gets half as many miles per gallon as Darlene's car. How many gallons does Martha's car require to make a 300-mile trip?
A:
Martha's car gets 20 / 2 = 10 miles per gallon. Total gallons Martha's car requires is 300 / 10 = 30 gallons. The answer is 30.