SOLUTION: I need a detailed solution: In a test the average grade of each boy is 60 points and the average grade of each girl is 80 points. The total number of points of the class is 580. I

Question 824396: I need a detailed solution:
In a test the average grade of each boy is 60 points and the average grade of each girl is 80 points. The total number of points of the class is 580. If each boy had a 10% higher
grade and each girl had a 10% lower grade then the whole class would have a total which is 32
points less than before. How many are the boys in this class?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
60b+80g=580,
if there were no girls there would be almost 10 boys
if there were no boys there would be almost 7 boys
1.1*60*b+.9*80*g=580-32=548
3 boys and 5 girls
3*66+5*72=558 not 548

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