The average (arithmetic mean) of all scores on a certain algebra test was 90. If the average of the 8 male students’ grades was 83, and the average of the female students’ grades was 92, how many female students took the test? Answers
A) 8 B) 9 C) 10 D) 21 E) 28

Rationale: 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 = 83 thus m = 664 - - - - - - - - - 2 also , f / f = 92 thus f = 92 f - - - - - - - - - 3 put 2 and 3 in 1 : we get ( 664 + 92 f ) / ( 8 + f ) = 90 solving this we get f = 28 ans : e
Answer: E