The average score for a class of 30 students was 75. The 20 male students in the class averaged 70. The female students in the class averaged:
A) 75 .
B) 85 .
C) 65 .
D) 70 .
E) 80 .

Question

The average score for a class of 30 students was 75. The 20 male students in the class averaged 70. The female students in the class averaged: 
A) 75 .
B) 85 .
C) 65 .
D) 70 .
E) 80 .

Quizplus · Accepted Answer

We know that the average score for the class of 30 students was 75. Let the total score of all 30 students be x. Therefore, we have:

x/30 = 75

This gives us the total score of all 30 students as:

x = 75*30 = 2250

Now, we also know that the 20 male students in the class averaged 70. Let the total score of all 20 male students be y. Therefore, we have:

y/20 = 70

This gives us the total score of all 20 male students as:

y = 70*20 = 1400

We can now find the total score of all 10 female students as:

Total Score of Female Students = Total Score of All Students - Total Score of Male Students
= 2250 - 1400
= 850

Finally, we can find the average score of the 10 female students as:

Average Score of Female Students = Total Score of Female Students / Number of Female Students
= 850 / 10
= 85

Therefore, the answer is B - 85.

The Average Score for a Class of 30 Students Was