SOLUTION: how much distilled water must be added to 4 pints of 65% alcohol to make a mixture of 50% alcohol

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Question 712055: how much distilled water must be added to 4 pints of 65% alcohol to make a mixture of 50% alcohol
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
All volumes will be as pints. The information given also suggests concentrations are %volume/volume. My solution (answer) assumes that. The water contains 0% alcohol.

P= 65%
T= 50%
V= 4 pints
v = unknown volume to add

Equation:
V%2AP%2F%28v%2BV%29=T
V%2AP=%28Tv%2BTV%29
V%2AP=Tv%2BTV
Tv=VP-TV
highlight%28v=V%28P-T%29%2FT%29

Substitute the values:
v=%284%2A65-50%2A4%29%2F50=60/50
v=1%261%2F5 pints