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The ratio of boys to girls in a class is 2:3. If the average of the boys’ test scores is 73 and the average of the girls’ test scores is 98, what is the maximum the average can be for the entire class?
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hope the answer is 256.5 is it right or wrong
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Number of students =x
2x boys and 3x girls
average = sum of marks / number of boys or girls
73= sum of marks / 2x
73*2x=sum of data(boys) ------------(1)
similarly ,
average = sum of marks / number of girls
98= sum of marks / 3x
98*3x=sum of marks (girls) ------------(2)
total average of class = (1)+(2)/sum of all students
=73*2x+98*3x/5x
=146x+294x/5x
=x(146+294)/5x
=440/5 (x in numerator and denominator is cancelled)
=88
THEREFORE MEAN OF WHOLE CLASS IS 88
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