SAT Math Multiple Choice Practice Question 542: Answer and Explanation

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Question: 542

20. If 3a + 2b + c = 22, b + c = 8, and c = 6, what is the value of a + b + c?

A. 4
B. 8
C. 12
D. 18
E. 36

Correct Answer: C

Explanation:

C If c = 6 and b + c = 8, then you know that b = 2. Because you know that c = 6 and b = 2, you can solve for a: If 3a + 2b + c = 22, then 3a + 4 + 6 = 22, so 3a = 12, and a = 4. Therefore, a + b + c = 4 + 2 + 6, or 12.

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