Duke was at a garage sale when he spotted DVDs on sale. They were separated by price into 2 different boxes. In the first box, he found 10 movies that he wanted. These were $2.00 apiece. The second box was marked $5 each and he found 5 movies he wanted. What was the average price of each of the DVDs he bought?
Thoughts? Step-by-step reasoning:
In the first box he bought 10 DVDs at $2.00 each, so he paid 10 * 2 = $20.00. In the second box he bought 5 DVDs at $5.00 each, so he paid 5 * 5 = $25.00. He bought 10 + 5 = 15 DVDs. He spent $20 + $25 = $45.00. The average price of each DVD is $45 / 15 = $3.00 each.
Thus, the answer is 3.