document.write( "Question 1136848: A nurse wishes to prepare a 15-ounce topical antiseptic solution containing 3% hydrogen peroxide. To obtain this mixture, purified water is to be added to the existing 1.5% and 10% hydrogen peroxide products. If only 3 ounces of the 10% hydrogen peroxide solution is available, how much of the 1.5% hydrogen peroxide solution and water is needed? \n" ); document.write( "

Algebra.Com's Answer #754663 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = ounces of 1.5% solution needed
\n" ); document.write( "Let $\"+b+\"$ = ounces of water needed
\n" ); document.write( "-------------------------------------------------
\n" ); document.write( "(1) $\"+a+%2B+b+%2B+3+=+15+\"$
\n" ); document.write( "(2) $\"+%28+.015a+%2B+.1%2A3+%29+%2F+15+=+.03+\"$
\n" ); document.write( "-------------------------------------------
\n" ); document.write( "(2) $\"+.015a+%2B+.3+=+.45+\"$
\n" ); document.write( "(2) $\"+.015a+=+.15+\"$
\n" ); document.write( "(2) $\"+a+=+10+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+10+%2B+b+%2B+3+=+15+\"$
\n" ); document.write( "(1) $\"+b+=+2+\"$
\n" ); document.write( "10 ounces of 1.5% solution is needed
\n" ); document.write( "2 ounces of water is needed
\n" ); document.write( "-------------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+%28+.015a+%2B+.1%2A3+%29+%2F+15+=+.03+\"$
\n" ); document.write( "(2) $\"+%28+.015%2A10+%2B+.3+%29+%2F+15+=+.03+\"$
\n" ); document.write( "(2) $\"+.45%2F15+=+.03+\"$
\n" ); document.write( "(2) $\"+.45+=+.45+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );