document.write( "Question 746115: How many pints of 1% peroxide solution should be mixed with 4% peroxide solution to obtain 10 pints of 2% peroxide solution? \n" ); document.write( "

Algebra.Com's Answer #454166 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = pints of 1% solution needed
\n" ); document.write( "Let $\"+b+\"$ = pints of 4% solution needed
\n" ); document.write( " $\"+.01a+\"$ = peroxide in 1% solution
\n" ); document.write( " $\"+.04b+\"$ = peroxide in 4% solution
\n" ); document.write( "--------------------------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+10+\"$
\n" ); document.write( "(2) $\"+%28+.01a+%2B+.04b+%29+%2F+10+=+.02+\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( "(2) $\"+.01a+%2B+.04b+=+.2+\"$
\n" ); document.write( "(2) $\"+a+%2B+4b+=+20+\"$
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) $\"+a+%2B+4b+=+20+\"$
\n" ); document.write( "(1) $\"+-a+-+b+=+-10+\"$
\n" ); document.write( " $\"+3b+=+10+\"$
\n" ); document.write( " $\"+b+=+3.333+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+b+=+10+\"$
\n" ); document.write( "(1) $\"+a+%2B+3.333+=+10+\"$
\n" ); document.write( "(1) $\"+a+=+6.667+\"$
\n" ); document.write( "6.667 pints of 1% solution are needed
\n" ); document.write( "3.333 pints of 4% solution are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+%28+.01%2A6.667+%2B+.04%2A3.333+%29+%2F+10+=+.02+\"$
\n" ); document.write( "(2) $\"+%28+.0667+%2B+.1333+%29+%2F+10+=+.02+\"$
\n" ); document.write( "(2) $\"+.2+=+10%2A.02+\"$
\n" ); document.write( "(2) $\"+.2+=+.2+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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