SAT Math Multiple Choice Practice Question 22: Answer and Explanation

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Question: 22

22. In a certain game, there are only two ways to score points; one way is worth 3 points, and the other is worth 5 points. If Tamsin's total score is 61, which of the following could be the number of 3-point scores that Tamsin had?

A. 10
B. 11
C. 12
D. 13
E. 14

Correct Answer: C


C. If you multiply each of the choices by 3 points, you get 30, 33, 36, 39, and 42. Because all the other scores are worth 5 points, you must be able to add a multiple of 5 to one of these numbers to get 61. The only one that works is 36 because 36 + 25 = 61.

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