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December 22, 2014

December 22, 2014

Posted by **Lorie** on Friday, April 5, 2013 at 11:39am.

A bourbon that is 51 proof is 25.5% alcohol by vol. while one that is 82 proof is 41% alcohol by vol. How many liters of 52 proof bourbon must be mixed with 1.0L of 82 proof bourbon to produce a 66 proof bourbon? Give answer to 3 decimal places.

Thanks in advance for all the help!

- college math -
**Reiny**, Friday, April 5, 2013 at 12:34pmLet the volume of 52 proof to be added be x L

so .26x + .41(1) = .33(1+x)

or

26x + 41 = 33(1+x)

26x + 41 = 33 + 33x

8 = 7x

x = 8/7 = 1.143 L

check my arithmetic

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