document.write( "Question 544445: how many ounces of a 35% alcohol solution must be mixed with 18 ounces of a 40% alcohol solution to make a 37% alcohol solution? \n" ); document.write( "
Algebra.Com's Answer #355094 by fcabanski(1391)\"\" \"About 
You can put this solution on YOUR website!
The amount of alcohol divided by the total amount of solution is the % alcohol in the solution.


\n" ); document.write( "It's alcohol/total solution = % (written as a decimal).
\n" ); document.write( "There is x ounces of the 35% solution and 18 ounces of the 40% solution. When added together this is 18+x. That's the total amount of the solution.


\n" ); document.write( "The amount of alcohol in x ounces of 35% alcohol solution is .35x ounces.
\n" ); document.write( "The amount of alcohol in 18 ounces of 40% alcohol solution is .4*18=7.2 ounces.
\n" ); document.write( "The total amount of alcohol in the combined solution is .35x + 7.2


\n" ); document.write( "The % it equals is 37% or .37


\n" ); document.write( "(.35x+7.2)/(18+x) = .37
\n" ); document.write( ".35x + 7.2 = .37(18+x)
\n" ); document.write( ".35x + 7.2 = 6.66 + .37x
\n" ); document.write( ".54 = .02x
\n" ); document.write( "x=.54/.02 = 27 ounces.
\n" ); document.write( "

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