SOLUTION: Joy has a solution containing 12% alcohol. How much of this solution and how much water must she use to get 6 liters of a solution containing 10% alcohol?

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Question 760147: Joy has a solution containing 12% alcohol. How much of this solution and how much water must she use to get 6 liters of a solution containing 10% alcohol?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
The water plus the 12% alcohol must sum to 6 liters. Let v = liters of the water. Let p = the amount liters of the 12% alcohol solution.

%2812p%29%2F%28p%2Bv%29=10 and p%2Bv=6, so the rational equation can be stated as highlight%2812p%2F6=10%29.
p=%286%2F12%2910=5.

5 liters of the 12% alcohol, and 1 liter of water.