SOLUTION: Eugene wants to make 15L of a 76% alcohol solution by mixing together a 60% alcohol solution and a 90% alcohol solution. How much of each solution must he use?

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Question 714001: Eugene wants to make 15L of a 76% alcohol solution by mixing together a 60% alcohol solution and a 90% alcohol solution. How much of each solution must he use?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x be the volume of the 60% alcohol to use, and y is volume of the 90% alcohol to use.
%2860x%2B90y%29%2F15=76 and x%2By=15

%284x%2B6y%29%2F1=76, when numerator and denominator each divided by 15.
Divide both sides by 2 and obtain 2x%2B3y=38.

Solve this system for x and y:
highlight%282x%2B3y=38%29
highlight%28x%2By=15%29