document.write( "Question 1040218: A chemist needs 6 liters of a 10​%
\n" ); document.write( "alcohol solution but has only a
\n" ); document.write( "15​% alcohol solution. How many liters each of the
\n" ); document.write( "15​% solution and water should he mix to make the desired
\n" ); document.write( "6 liters of 10​%
\n" ); document.write( "​solution?\r
\n" ); document.write( "\n" ); document.write( "The chemist needs to mix
\n" ); document.write( "___ liters of
\n" ); document.write( "15​% alcohol solution with
\n" ); document.write( "___ liters of water.
\n" ); document.write( "

Algebra.Com's Answer #655010 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = liters of 15% solution needed
\n" ); document.write( "Let \"+b+\" = liters of water needed
\n" ); document.write( "-------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+6+\"
\n" ); document.write( "(2) \"++.15a+%2F+%28+a+%2B+b+%29+=+.1+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "By substitution:
\n" ); document.write( "(2) \"+.15a+%2F+6+=+.1+\"
\n" ); document.write( "(2) \"+.15a+=+.6+\"
\n" ); document.write( "(2) \"+a+=+4+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+b+=+6+\"
\n" ); document.write( "(1) \"+4+%2B+b+=+6+\"
\n" ); document.write( "(1) \"+b+=+2+\"
\n" ); document.write( "----------------
\n" ); document.write( "4 liters of 15% solution are needed
\n" ); document.write( "2 liters of water are needed
\n" ); document.write( "-------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"++.15a+%2F+%28+a+%2B+b+%29+=+.1+\"
\n" ); document.write( "(2) \"++.15%2A4+%2F+6+=+.1+\"
\n" ); document.write( "(2) \"+.6+=+.6+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );