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? Give me reasons, before answering the question
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. So the final answer is 1056.