SOLUTION: Separate 66 into two parts so that 2/5 of one part exceeds 5/8 of the other part by 10.

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Question 287989: Separate 66 into two parts so that 2/5 of one part exceeds 5/8 of the other part by 10.
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
this is saying x%2By=66 and %282%2F5%29x-%285%2F8%29y=10
u have 2 equations so substitution or elimination method will work.
i will show substitution.
x%2By=66
x=66-y
%282%2F5%29x-%285%2F8%29y=10
%282%2F5%29%2866-y%29-%285%2F8%29y=10distribute
%28132%2F5%29-%282%2F5%29y-%285%2F8%29y=10find Common denominator for like terms
%28132%2F5%29-%2816%2F40%29y-%2825%2F40%29y=10
%28132%2F5%29-%2841%2F40%29y=10
%28132%2F5%29-10=%2841%2F40%29y
%28132%2F5%29-%2850%2F5%29=%2841%2F40%29y
%2882%2F5%29=%2841%2F40%29ymultiply by reciprical
%2882%2F5%29%2840%2F41%29=y
%282%2F1%29%288%2F1%29=y
16=y
50=x