SOLUTION: How much 20% alcohol solution and 50% alcohol solution must be mixed to get 12 gallons of 30%?

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Question 357305: How much 20% alcohol solution and 50% alcohol solution must be mixed to get 12 gallons of 30%?


Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,
Let x represent the amount of the 50% solution. then (12-x) would be the amount of the 20% solution
.50*x + .20(12-x) = .30*12gal
simplify and Solve
.30x = .30*12 -.20*12
.30x = .10*12
x = 4 is the amount of the 50% solution
8gal 20% alcohol solution must be mixed with 4 gal of the 50% solution to get 12 gallons of 30%?