SAT Math Multiple Choice Practice Question 487: Answer and Explanation

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Question: 487

7. In 1998, Andrei had a collection of 48 baseball caps. Since then, he has given away 13 caps, purchased 17 new caps, and traded 6 of his caps to Pierre for 8 of Pierre's caps. Since 1998, what has been the net percent increase in Andrei's collection?

A. 6%
B. 12%
C. 16%
D. 25%
E. 28%

Correct Answer: B


B This question has several steps, so don't try to do it all at once. Take it one step at a time. Andrei starts out with 48 baseball caps. In the first step, Andrei gives away 13 caps, so he has 35 left. In the next step, he buys 17 new caps, so now he has 52. Then Andrei gives Pierre 6 caps (46 left) and gets 8 caps in return. In the end, Andrei has 54 baseball caps, which is 6 more caps than he had originally. The percent increase is . You can also change to a percent by typing it into your calculator and multiplying by 100.

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