SOLUTION: If I have a 20% acid solution and a 50% acid solution, how many liters of each do I have to mix to get 600 liters of a 30% solution?

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Question 360921: If I have a 20% acid solution and a 50% acid solution, how many liters of each do I have to mix to get 600 liters of a 30% solution?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 20% acid solution, and B the amount of 50% acid solution.
1.A%2BB=600
.
.
20A%2B50B=30%28600%29
2.2A%2B5B=1800
Multiply eq. 1 by -2 and add to eq. 2,
-2A-2B%2B2A%2B5B=-1200%2B1800
3B=600
highlight%28B=200%29liters
Then from eq. 1,
A%2B200=600
highlight%28A=400%29liters