document.write( "Question 1008572: How many ounces of a 32% alcohol solution and a 38% alcohol solution must be combined to obtain 60 ounces of a 37% solution? \n" ); document.write( "

Algebra.Com's Answer #627649 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let X be the ounces of 32% solution.
\n" ); document.write( "Let Y be the ounces of 38% solution.
\n" ); document.write( " $\"X%2BY=60\"$
\n" ); document.write( " $\"32X%2B38Y=37%28X%2BY%29=37%2860%29=2220\"$
\n" ); document.write( "Multiply the first equation by 32 and subtract from the second.
\n" ); document.write( " $\"32X%2B38Y-32X-32Y=2220-60%2832%29\"$
\n" ); document.write( " $\"6Y=300\"$
\n" ); document.write( " $\"Y=50\"$
\n" ); document.write( "Then from the first equation,
\n" ); document.write( " $\"X%2B50=60\"$
\n" ); document.write( " $\"X=10\"$
\n" ); document.write( " \n" ); document.write( "

\n" );