Problem:
A basketball team's players were successful on of their two-point shots and of their three-point shots, which resulted in points. They attempted more two-point shots than three-point shots. How many three-point shots did they attempt?
Answer Choices:
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Solution:
Let denote the number of three-point shots attempted. Then the number of three-point shots made was , resulting in points. The number of two-point shots attempted was , and they were successful on of them resulting in points. The number of points scored was , so .
The problems on this page are the property of the MAA's American Mathematics Competitions