document.write( "Question 659460: A chemist 80 mil of 25% chemical solution. he only has a 50% chemical solution and a 10% chemical solution. find how many ml of each he should mix to get the desired solution. \n" ); document.write( "

Algebra.Com's Answer #410800 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = ml of 50% solution needed
\n" ); document.write( "Let $\"+b+\"$ = ml of 10% solution needed
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+80+\"$
\n" ); document.write( "(2) $\"+%28+.5a+%2B+.1b+%29+%2F+80+=+.25+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "(2) $\"+.5a+%2B+.1b+=+.25%2A80+\"$
\n" ); document.write( "(2) $\"+.5a+%2B+.1b+=+20+\"$
\n" ); document.write( "(2) $\"+5a+%2B+b+=+200+\"$
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) $\"+5a+%2B+b+=+200+\"$
\n" ); document.write( "(1) $\"+-a+-+b+=+-80+\"$
\n" ); document.write( " $\"+4a+=+120+\"$
\n" ); document.write( " $\"+a+=+30+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+b+=+80+\"$
\n" ); document.write( "(1) $\"+30+%2B+b+=+80+\"$
\n" ); document.write( "(1) $\"+b+=+50+\"$
\n" ); document.write( "30 ml of 50% solution are needed
\n" ); document.write( "50 ml of 10% solution are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+%28+.5%2A30+%2B+.1%2A50+%29+%2F+80+=+.25+\"$
\n" ); document.write( "(2) $\"+%28+15+%2B+5+%29+%2F+80+=+.25+\"$
\n" ); document.write( "(2) $\"+20+=+.25%2A80+\"$
\n" ); document.write( "(2) $\"+20+=+20+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );