SOLUTION: solution A is 40% acid and solution b is 65% acid.How much of each solution is needed to make 100 liters of a solution that is 55% acid?

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Question 375435: solution A is 40% acid and solution b is 65% acid.How much of each solution is needed to make 100 liters of a solution that is 55% acid?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.A%2BB=100
.
.
40A%2B65B=55%28100%29
2.8A%2B13B=1100
Multiply eq. 1 by -8 and add to eq. 2,
-8A-8B%2B8A%2B13B=-800%2B1100
5B=300
highlight%28B=60%29liters
Then from eq. 1,
A%2B60=100
highlight%28A=40%29liters