Q: An archer needs to practice. He intends to shoot 200 shots 4 days a week. He is able to recover 20% of his arrows. The arrows he uses cost $5.5 per arrow. His team agrees to pay for 70% of the cost of his arrows. How much does he spend for arrows a week?
A: 1056
Step-by-step reasoning process: He shoots 200 * 4 = 800 shots per week. He can recover 800 * .2 = 160 of those arrows. So he uses 800 - 160 = 640 arrows a week. The cost for those arrows would come out to 640 * 5.5 = $3520 per week. His team pays for 3520 * .7 = $2464 of that. So he has to pay 3520 - 2464 = $1056 per week for arrows.


Q: Mabel lives 4500 steps directly east of Lake High school. Helen lives 3/4 the number of steps that Mabel lives, directly west of the school. What's the total number of steps Mabel will walk to visit Helen so that they can do their assignments together?
A: 7875
Step-by-step reasoning process: Helen lives 3 / 4 * 4500 = 3375 steps directly west of Lake High. To reach Helen, Mabel would have to walk to 4500 + 3375 = 7875 steps.


Q: 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?
A: 450
Step-by-step reasoning process: 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.


Q: Mark buys a loaf of bread for $4.20 and some cheese for $2.05. He gives the cashier $7.00. If the cashier only has 1 quarter and 1 dime in his till, plus a bunch of nickels, how many nickels does Mark get in his change?
A: 8
Step-by-step reasoning process: First subtract the cost of Mark's groceries from the amount he gives the cashier to find how much he gets in change: $7.00 - $4.20 - $2.05 = $0.75. Then subtract the value of a quarter in cents (25) and the value of a dime in cents (10) from the change amount to find how much Mark gets paid in nickels: $0.75 - $0.25 - $0.10 = $0.40. Now divide the amount Mark gets in nickels by the value per nickel in cents (5) to find how many nickels Mark gets: $0.40 / $0.05 / nickel = 8 nickels.