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?

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) (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.
Concentration equation

2.
Multiply eq. 1 by -25 and add to eq. 2,

Then from eq. 1,

.
.
.
6 gallons of 25% solution and 14 gallons of 35% solution.

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