SOLUTION: You have 100 Liters of 60% alcohol. How many liters of pure alcohol do you have to remove to have a solution of 50% alcohol? Please provide equation not just the answer :)

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Question 755716: You have 100 Liters of 60% alcohol. How many liters of pure alcohol do you have to remove to have a solution of 50% alcohol? Please provide equation not just the answer :)
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming percent by volume. Let x= alcohol to remove

%28100%2A60-x%2A100%29%2F%28100-x%29=50
%2860-x%29%2F%28100-x%29=0.5
60-x=0.5%28100-x%29
120-2x=100-x
20=-x%2B2x
20=x