At a CD store, 40% of the CDs cost $10 each, and the rest cost $5 each. Prince bought half the CDs sold at $10 each, and all of the CDs sold at $5 each. If the total number of CDs was 200, how much money did Prince spend on buying the CDs? Give me reasons, before answering the question
The number of CDs selling at $10 each at the store is 40 / 100 * 200 = 80. This means the store sells 200 - 80 = 120 CDs at $5 each. Prince bought 1 / 2 * 80 = 40 of the CDs selling at $10 each. The total amount of money Prince paid for the 40 CDs selling at $10 each is $40 * 10 = $400. If he bought all the CDs selling at $5 each, he paid a total of $5 * 120 = $600. For all the CDs he bought, Prince spent $600 + $400 = $1000. So the final answer is 1000.