SOLUTION: How many liters of a 60% acid solution must be mixed with a 75% acid solution to get 20 liters of a 72% solution?

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Question 347599: How many liters of a 60% acid solution must be mixed with a 75% acid solution to get 20 liters of a 72% solution?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 60% acid solution.
Let B be the amount of 75% acid solution.
Volume equation:
1.A%2BB=20
Concentration equation:
60A%2B75B=72%2820%29
2.4A%2B5B=96
From eq. 1,
A=20-B
Substitute into eq. 2,
4%2820-B%29%2B5B=96
80-4B%2B5B=96
highlight%28B=16%29liters
Then from eq. 1,
A%2B16=20
highlight%28A=4%29liters