document.write( "Question 607400: Find the amount of 6 percent acid solution and the amount of a 14 percent acid solutions pat should combine to prepare 50cc of 12 percent solutions \n" ); document.write( "
Algebra.Com's Answer #382714 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = cc's of 6% solution
\n" ); document.write( "Let \"+b+\" = cc's of 14% solution
\n" ); document.write( "\"+.06a+\" = cc's of acid in 6% solution
\n" ); document.write( "\"+.14b+\" = cc's of acid in 14% solution
\n" ); document.write( "--------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+50+\"
\n" ); document.write( "(2) \"+%28+.06a+%2B+.14b+%29+%2F+50+=+.12+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "(2) \"+.06a+%2B+.14b+=+.12%2A50+\"
\n" ); document.write( "(2) \"+.06a+%2B+.14b+=+6+\"
\n" ); document.write( "(2) \"+6a+%2B+14b+=+600+\"
\n" ); document.write( "Multiply both sides of (1) by \"+6+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+6a+%2B+14b+=+600+\"
\n" ); document.write( "(1) \"+-6a+-+6b+=+-300+\"
\n" ); document.write( "\"+8b+=+300+\"
\n" ); document.write( "\"+b+=+37.5+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+a+%2B+b+=+50+\"
\n" ); document.write( "(1) \"+a+%2B+37.5+=+50+\"
\n" ); document.write( "(1) \"+a+=+12.5+\"
\n" ); document.write( "--------------
\n" ); document.write( "12.5 cc's of 6% solution are needed
\n" ); document.write( "37.5 cc's of 14% solution are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.06a+%2B+.14b+%29+%2F+50+=+.12+\"
\n" ); document.write( "(2) \"+%28+.06%2A12.5+%2B+.14%2A37.5+%29+%2F+50+=+.12+\"
\n" ); document.write( "(2) \"+%28+.75+%2B+5.25+%29+%2F+50+=+.12+\"
\n" ); document.write( "(2) \"+6+%2F+50+=+.12+\"
\n" ); document.write( "(2) \"+6+=+.12%2A50+\"
\n" ); document.write( "(2) \"+6+=+6+\"
\n" ); document.write( "OK \n" ); document.write( "
\n" );