document.write( "Question 912096: You are making a drink that requires 13 ounces of a 27-proof whiskey. Unfortunately, all you have on hand are 22-proof and 38-proof whiskey. How much of each type of whiskey do you need to mix to create 13 ounces of a 27-proof whiskey? The proof of an alcoholic beverage indicates the percentage of alcohol (ethanol) it contains. A 22-proof whiskey, for example, contains 44 percent alcohol by volume.
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Algebra.Com's Answer #553569 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
In the United States, proof is defined as double the percentage of alcohol contained in a solution at 60 degrees Fahrenheit or 15.6 degrees Celsius.
\n" ); document.write( "So it is the opposite of what you state.
\n" ); document.write( "200 proof is 100%
\n" ); document.write( "22 proof is 11%
\n" ); document.write( "38 proof is 19%
\n" ); document.write( "27 proof is 13.5%\r
\n" ); document.write( "\n" ); document.write( "We need a total of 13 oz. at 13.5% 27 proof
\n" ); document.write( "We want to know how many oz. at 11% 22 proof to mix with 19% 38 proof
\n" ); document.write( "a+b=13,
\n" ); document.write( "0.11*a+0.19*b=0.135*13
\n" ); document.write( "a=13-b
\n" ); document.write( "0.11*(13-b)+0.19*b=1.755
\n" ); document.write( "1.43-0.11b+0.19*b=1.755
\n" ); document.write( "0.08*b=0.325
\n" ); document.write( "b=4.0625
\n" ); document.write( "a=13-b
\n" ); document.write( "a=8.9375 oz. at 11% 22 proof
\n" ); document.write( "b=4.0625 oz. at 19% 38 proof
\n" ); document.write( "check
\n" ); document.write( "0.11*8.9375+0.19*4.0625=0.135*13
\n" ); document.write( "0.983125+0.771875=1.755
\n" ); document.write( "1.755=1.755
\n" ); document.write( "ok
\n" ); document.write( "codemx1\r
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