The average score for a class of 35 students was 70. The 20 male students in the class averaged 73. The 15 female students in the class averaged:
A) 73
B) 70
C) 66
D) 60
E) 35

Question

Quizplus · Accepted Answer

Let the average score of the 15 female students be x.

The total score of all 35 students is 35*70 = 2450

The total score of the 20 male students is 20*73 = 1460

The total score of the 15 female students is 15*x

Therefore, we can write:

35*70 = 1460 + 15x

2450 - 1460 = 15x

990 = 15x

x = 66

Therefore, the average score of the 15 female students is 66, which is choice C.

The Average Score for a Class of 35 Students Was