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A total of 45 male and female students take a math test. The

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by Max@Math Revolution » Fri Aug 02, 2019 12:47 am

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[GMAT math practice question]

A total of 45 male and female students take a math test. The average score for the male students is 65 and the average score for the female students is 70. Also, the combined average score for the male and female students is 67. How many male students took the test?

A. 27
B. 31
C. 33
D. 35
E. 37
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by Max@Math Revolution » Sun Aug 04, 2019 5:36 pm
=>

We can set up a 2x2 matrix using the data from the question as follows.
Image

The combined average is the total score divided by the total number of students. This value is
(65m + 70(45-m)) / 45 = 67.
Solving for m yields
65m + 3150 - 70m = 3015
-5m = -135
m = 27.

Therefore, the answer is A.
Answer: A
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