SOLUTION: "What quantity of 65% acid solution must be mixed with a 30% solution to produce 525 mL of a 50% solution?"

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Question 766061: "What quantity of 65% acid solution must be mixed with a 30% solution to produce 525 mL of a 50% solution?"
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x = volume of 30% acid to use.
y = volume of 65% acid to use.

%2865%2Ay%2B30%2Ax%29%2F525=50 and x%2By=525

Simplify the rational equation by division of both sides by 5.
%2813y%2B6x%29%2F525=10 and multiply them by 525.
13y%2B6x=5250.
6x%2B13y=5250

Solve the system:
highlight%286x%2B13y=5250%29
highlight%28x%2By=525%29
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