SOLUTION: There are 12 male students and 8 female students in a class. On their final math exam, the average score of the female students was 5 points higher than that of the male students.

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Question 1202589: There are 12 male students and 8 female students in a class. On their final math exam, the average score of the female students was 5 points higher than that of the male students. If the average score of all students in the class was 86, what was the average score of the female students?
(A) 84
(B) 88
(C) 89
(D) 90
(E) 91

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


x = average score of female students
x-5 = average score of male students

The overall average was 86:

8%28x%29%2B12%28x-5%29=20%2886%29
8x%2B12x-60=1720
20x=1780
x=89

ANSWER: 89

CHECK: 12(84)+8(89)=1008+712=1720