document.write( "Question 525770: How many liters of a 20% alcohol solution must be mixed with 60 liters of a 90% solution to get a 70% solution? \n" ); document.write( "

Algebra.Com's Answer #348204 by josmiceli(19441) $\"\"$ $\"About$

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let $\"x+\"$ = liters of 20% solution needed
\n" ); document.write( "given:
\n" ); document.write( " $\"+.9%2A60+=+54+\"$ liters of alcohol in 90% solution
\n" ); document.write( " $\"+.2x+\"$ = liters of alcohol in 20% solution
\n" ); document.write( "---------------------------------
\n" ); document.write( " $\"+%28+54+%2B+.2x+%29+%2F+%28+60+%2B+x+%29+=++.7+\"$
\n" ); document.write( " $\"+54+%2B+.2x+=+.7%2A%28+60+%2B+x+%29+\"$
\n" ); document.write( " $\"+54+%2B+.2x+=+42++%2B+.7x+\"$
\n" ); document.write( " $\"+.5x+=+12+\"$
\n" ); document.write( " $\"+x+=+24+\"$
\n" ); document.write( "24 liters of 20% solution are needed
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+%28+54+%2B+.2x+%29+%2F+%28+60+%2B+x+%29+=++.7+\"$
\n" ); document.write( " $\"+%28+54+%2B+.2%2A24+%29+%2F+%28+60+%2B+24+%29+=++.7+\"$
\n" ); document.write( " $\"+%28+54+%2B+4.8+%29+%2F+84+=+.7+\"$
\n" ); document.write( " $\"+58.8+=+.7%2A84+\"$
\n" ); document.write( " $\"+58.8+=+58.8+\"$
\n" ); document.write( "OK \n" ); document.write( "

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