SOLUTION: One thousand liters of solution was available, but the solution was 65% alcohol. Billy needed a solution which was 50% alcohol. How many liters of alcohol had to be extracted so th

Question 998881: One thousand liters of solution was available, but the solution was 65% alcohol. Billy needed a solution which was 50% alcohol. How many liters of alcohol had to be extracted so that the solution would be 50% alcohol?
Answer by jorel555(1290) (Show Source): You can put this solution on YOUR website!
Let n be the amount needed to be extracted from the solution. Since the solution is 65% alcohol, out of 1000 liters of solution, this gives us 650 liters of pure alcohol. So:
650-n=.5(1000-n)
650-n=500-.5n
.5n=150
n=300
300 liters of alcohol must be extracted to get a solution of 700 liters of 50% solution. ☺☺☺☺
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