document.write( "Question 855231: 1 solution is 23 acid and another solution is 57 percent acid how many milliliters of each should be mixed to obtain 34 millimeters of a solution that is 32 percent acid \n" ); document.write( "

Algebra.Com's Answer #515241 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = ml of 23% solution needed
\n" ); document.write( "Let $\"+b+\"$ = ml of 57% solution needed
\n" ); document.write( "--------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+34+\"$
\n" ); document.write( "(2) $\"+%28+.23a+%2B+.57b+%29+%2F+34+=+.32+\"$
\n" ); document.write( "------------------------------
\n" ); document.write( "(2) $\"+.23a+%2B+.57b+=+.32%2A34+\"$
\n" ); document.write( "(2) $\"+.23a+%2B+.57b+=+10.88+\"$
\n" ); document.write( "(2) $\"+23a+%2B+57b+=+1088+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+23+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+23a+%2B+57b+=+1088+\"$
\n" ); document.write( "(1) $\"+-23a+-+23b+=+-782+\"$
\n" ); document.write( " $\"+34b+=+306+\"$
\n" ); document.write( " $\"+b+=+9+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+b+=+34+\"$
\n" ); document.write( "(1) $\"+a+=+34+-+9+\"$
\n" ); document.write( "(1) $\"+a+=+25+\"$
\n" ); document.write( "25 ml of 23% solution is needed
\n" ); document.write( "9 ml of 57% solution is needed
\n" ); document.write( "------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+%28+.23%2A25+%2B+.57%2A9+%29+%2F+34+=+.32+\"$
\n" ); document.write( "(2) $\"+5.75+%2B+5.13+=+.32%2A34+\"$
\n" ); document.write( "(2) $\"+10.88+=+10.88+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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