SOLUTION: Suppose that the mean score of a class of 28 students was 75. The 17 male students in the class had a mean score of 68. What was the mean score for the 11 female students?

Algebra ->  Average -> SOLUTION: Suppose that the mean score of a class of 28 students was 75. The 17 male students in the class had a mean score of 68. What was the mean score for the 11 female students?      Log On


   

Question 300721: Suppose that the mean score of a class of 28 students was 75. The 17 male students in the class had a mean score of 68. What was the mean score for the 11 female students?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that the mean score of a class of 28 students was 75.
The 17 male students in the class had a mean score of 68.
What was the mean score for the 11 female students?
:
let g = mean score of the girl student
:
%28%2817%2868%29%2B11g%29%29%2F28 = 75
:
%28%281156%2B11g%29%29%2F28 = 75
Multiply both sides by 28
1156 + 11g = 28(75)
1156 + 11g = 2100
11g = 2100 - 1156
11g = 944
g = 944%2F11
g = 85.8; the mean score of the girls
:
:
Check solution
%28%2817%2868%29%2B11%2885.8%29%29%29%2F28 = 75
%28%281156%2B944%29%29%2F28 = 75
2100%2F28 = 75