SOLUTION: there is 100 kids in class taking the test 80% is average for the boys 70% is average for the girls the average of the class is 76% how many girls are in the class

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Question 422094: there is 100 kids in class taking the test 80% is average for the boys 70% is average for the girls the average of the class is 76% how many girls are in the class
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
there is 100 kids in class taking the test
80% is average for the boys 70% is average for the girls
the average of the class is 76% how many girls are in the class
:
Let x = no. of girls in the class
then
(100-x) = no. of boys in the class
:
%2880%28100-x%29+%2B+70x%29%2F100 = 76
Multiply by 100
80(100-x) + 70x = 100(76)
8000 - 80x + 70x = 7600
-80x + 70x = 7600 - 8000
-10x = -400
x = %28-400%29%2F%28-10%29
x = +40 girls
:
:
Check solution, (60 boys, obviously)
%2880%2860%29+%2B+70%2840%29%29%2F100 =
%284800%2B2800%29%2F100 = 76