SOLUTION: How many gallons of a 25% alcohol solution would need to be mixed with a 35% alcohol solution in order to obtain 20 gallons of a 32% alcohol solutio?

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Question 316452: How many gallons of a 25% alcohol solution would need to be mixed with a 35% alcohol solution in order to obtain 20 gallons of a 32% alcohol solutio?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 25% solution, B the amount of 35% solution.
Total quantity equation
1.A%2BB=20
Concentration equation
25A%2B35B=32%2820%29
2.25A%2B35B=640
Multiply eq. 1 by -25 and add to eq. 2,
-25A-25B%2B25A%2B35B=-500%2B640
10B=140
B=14
Then from eq. 1,
A%2B14=20
A=6
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.
.
6 gallons of 25% solution and 14 gallons of 35% solution.