document.write( "Question 658364: how many liters of a 10% alcohol solution must be mixed with 70 liters of a 80% solution to get a 60% solution? can you show me how to solve it as well as the answer please?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #410261 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+x+\"$ = liters of 10% alcohol solution needed
\n" ); document.write( " $\"+.1x+\"$ = liters of alcohol in 10% solution
\n" ); document.write( " $\"+.8%2A70+=+56+\"$ liters of alcohol in 80% solution
\n" ); document.write( "given:
\n" ); document.write( " $\"+%28+.1x+%2B+56+%29+%2F+%28+x+%2B+70+%29+=+.6+\"$
\n" ); document.write( " $\"+.1x+%2B+56+=+.6%2A%28+x+%2B+70+%29+\"$
\n" ); document.write( " $\"+.1x+%2B+56+=+.6x+%2B+42+\"$
\n" ); document.write( " $\"+.5x+=+14+\"$
\n" ); document.write( " $\"+x+=+14%2F.5+\"$
\n" ); document.write( " $\"+x+=+28++\"$
\n" ); document.write( "28 liters of 10% alcohol solution are needed
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+.1x+%2B+56+%29+%2F+%28+x+%2B+70+%29+=+.6+\"$
\n" ); document.write( " $\"+%28+.1%2A28+%2B+56+%29+%2F+%28+28+%2B+70+%29+=+.6+\"$
\n" ); document.write( " $\"+%28+2.8+%2B+56+%29+%2F+98+=+.6+\"$
\n" ); document.write( " $\"+58.8+%2F+98+=+.6+\"$
\n" ); document.write( " $\"+58.8+=+.6%2A98+\"$
\n" ); document.write( " $\"+58.8+=+58.8+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );