In a game of basketball, a field goal is either 2 or 3 points. In a college basketball tournament, Jim made 73 more 2-point field goals than 3-point field goals. If he scored a total of 216 points in the tournament, how many 3-point field goals did he make?
Correct answer: B. 14
- A. 12
- B. 14
- C. 16
- D. 18
Explanation
To find the number of 3-point field goals, let the number of 3-point field goals be y. Then, the number of 2-point field goals would be y + 73. The total points scored from 3-point field goals is 3y, and from 2-point field goals is 2(y + 73). Given the total points is 216, we can set up the equation:3y + 2(y + 73) = 216Simplifying, we get:3y + 2y + 146 = 2165y + 146 = 2165y = 70y = 14Thus, Jim made 14 three-point field goals. Checking the totals, 14 three-point goals contribute 42 points, and 87 two-point goals (since 14 + 73 = 87) contribute 174 points, totaling 216 points. Therefore, Option B is correct. Options A, C, and D are incorrect as they do not match the required total of 216 points.
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