SOLUTION: how many gallons of 60% alcohol solution must be mixed with 60 gallons of 14% solution to obtain a solution that is 40% alcohol?

Question 706248: how many gallons of 60% alcohol solution must be mixed with 60 gallons of 14% solution to obtain a solution that is 40% alcohol?

Answer by josgarithmetic(39614) (Show Source): You can put this solution on YOUR website!
Let g = amount of gallons of the 60% alcohol to add.
40% is target concentration.

,(do not become confused about what the "60"s are counting while setting the initial equation.)

3g+3*14=2(g+60)
3g+3*14=2g+120
g+42=120
g=120-42=7
gallons of the 60% alcohol
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