SOLUTION: How much 150 proof alcohol do I have to add to 80 proof Vodka to end up with 100 proof?

Question 856361: How much 150 proof alcohol do I have to add to 80 proof Vodka to end up with 100 proof?

Found 2 solutions by richwmiller, josgarithmetic:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
150x+80y=100(x+y)
50x=20y
There will be several answers to this.
x = 2 and y = 5
2/4/6 pints/quarts/gallons/ of 150 and 5/10/15 pints/quarts/gallons of 80.

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
This will give only ratios between the 150 proof and the 80 proof:

and ; and just solve the system for u and v. Your description did not include an expected amount of mixture. The two equations just given assume the mixture amount is 1.
You might want some help on how the system works. See this lesson:

Two-Part Mixture for Known Concentration Result - both parts unknown
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