SOLUTION: Solution "A" is 50% acid and solution "B" is 20% acid. How many liters of each should be combined to make 300 Liters of solution that is 40% acid?

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Question 318539: Solution "A" is 50% acid and solution "B" is 20% acid. How many liters of each should be combined to make 300 Liters of solution that is 40% acid?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.A%2BB=300
50A%2B20B=40%28300%29
50A%2B20B=12000
2.5A%2B2B=1200
Multiply eq. 1 by (-5) and add it to eq. 2,
-5A-5B%2B5A%2B2B=-1500%2B1200
-3B=-300
highlight%28B=100%29
Then from eq. 1,
A%2B100=300
highlight%28A=200%29
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200 liters of 50% solution and 100 liters of 20% solution.