document.write( "Question 714223: How much distilled water must be mixed with alcohol 70% to prepare 5 L of alcohol 40%? \n" ); document.write( "

Algebra.Com's Answer #438737 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+w+\"$ = liters of distilled water to be used
\n" ); document.write( "Let $\"+x+\"$ = liters of 70% alcohol to be used
\n" ); document.write( " $\"+.7x+\"$ = liters of alcohol in 70% solution
\n" ); document.write( "------------
\n" ); document.write( "I end up with 5 liters, so
\n" ); document.write( "(1) $\"+w+%2B+x+=+5+\"$
\n" ); document.write( "and also,
\n" ); document.write( "(2) $\"++.7x+%2F+5+=+.4+\"$
\n" ); document.write( "----------------
\n" ); document.write( "(2) $\"+.7x+=+2+\"$
\n" ); document.write( "(2) $\"+x+=+2.8571+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+w+%2B+x+=+5+\"$
\n" ); document.write( "(1) $\"+w+%2B+2.8571+=+5+\"$
\n" ); document.write( "(1) $\"+w+=+2.1429+\"$
\n" ); document.write( "2.1429 liters of water must be used\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );