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Adam, Ben, and Charles take an exam, and their average is p

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Adam, Ben, and Charles take an exam, and their average is p

by Max@Math Revolution » Sun Nov 24, 2019 11:34 pm
[GMAT math practice question]

Adam, Ben, and Charles take an exam, and their average is p points. David takes the same exam and gets s points. The average of these 4 students is x points less than p points. What is the value of s, in terms of p and x?

A. 2p - x
B. 3p - 2x
C. p - 4x
D. p - x
E. 4p - 3x
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by Max@Math Revolution » Wed Nov 27, 2019 3:04 am
=>

Assume a, b, and c are the scores of Adam, Ben, and Chares, respectively.
Then we have p = (a + b + c)/3 or a + b + c = 3p.
The average of the 4 people including David is (a + b + c + s)/4 = (3p + s)/4 = p-x.
Then we have 4p - 4x = 3p + s or s = p - 4x.

Therefore, C is the answer.
Answer: C
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