Question: James wants to build a 16-foot by 20-foot quilt. He uses patches that are each 4 square feet. The first 10 patches cost $10 each and then each patch after that cost half as much. How much do the patches for the quilt cost?
Answer: The patch is 16 * 20 = 320 square feet. So he needs 320 / 4 = 80 patches. The first 10 patches cost 10 * 10 = $100. He gets a discount on the next 80 - 10 = 70 patches. They each cost 10 / 2 = $5. So in total they cost 70 * 5 = $350. That means in total he paid 100 + 350 = $450. The answer is 450.
[Question]At least a third of Fred's marbles are dark blue. All of the rest are red, except for 4 that are green. If he has 63 marbles, how many of them are red?
[Answer]Fred has 63 / 3 = 21 dark blue marbles. Fred has 63 - 21 = 42 red and green marbles. Fred has 42 - 4 = 38 red marbles. The answer is 38.
Q: Amber is trying to decide if she wants to spend her $7 on candy or chips. She decides to buy the thing that she can get the most of. The bags of candy cost $1 and contain 12 ounces each. The bags of chips are $1.40 and contain 17 ounces each. How many ounces does she get if she buys the item that gives her the most?
A: She can buy 7 bags of candy because 7 / 1 = 7. She can buy 5 bags of chips because 7 / 1.4 = 5. She gets 84 ounces of candy because 7 x 12 = 84. She gets 85 ounces of chips because 5 x 17 = 85. The gets 85 ounces in food because 85 > 84. The answer is 85.
Question: The square footage of the two bedrooms in the apartment that Jenny and Martha share totals 300 square feet. If Jenny's bedroom is 60 square feet larger than Martha's, how large, in square feet, is Martha's bedroom?
Answer: Let M be the number of square feet in Matha's bedroom. Jenny's bedroom is M + 60 square feet. M + M + 60 = 300. 2M + 60 = 300. 2M = 240. M = 120. Martha's bedroom is 120 square feet. The answer is 120.
[Question]Daria is raising money for a new vacuum cleaner. So far, she has collected $20 in her piggy bank and has decided to put $10 in it each week. If the vacuum cleaner costs $120, how many weeks will it take her to raise enough money to cover this expense?
[Answer]The vacuum cleaner costs $120, so Daria needs 120 - 20 = $100 more. Daria will need 100 / 10 = 10 more weeks, to be able to buy the vacuum cleaner. The answer is 10.
[Question]Nicky is trading baseball cards with Jill. If Nicky trades two cards worth $8 each for 1 card worth $21, how many dollars of profit does he make?
[Answer]
First find the total cost of the two $8 cards: $8 / card * 2 cards = $16. Then subtract the cost of the cards Nicky gave away from the cost of the card he received to find his profit: $21 - $16 = $5. The answer is 5.