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Total Marks of male = M
Total Marks of female = F
Number of males = 8
Number of females = f

Given: (M+F)/(8+f) = 90 -------------1
Also given, M/8 = 87 Thus M = 696 ---------2
Also, F/f = 92 thus F = 92 F - --------3

Put 2 and 3 in 1: we get
(696+92f)/(8+f) = 90
solving this we get f = 12

Ans: E
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Bunuel
The average (arithmetic mean) of all scores on a certain algebra test was 90. If the average of the 8 male students’ grades was 87, and the average of the female students’ grades was 92, how many female students took the test?

A. 8
B. 9
C. 10
D. 11
E. 12

We can let the number of email students = f and create the following equation:

90 = (8 x 87 + 92f)/(f + 8)

90f + 720 = 696 + 92f

24 = 2f

12 = f

Answer: E
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