document.write( "Question 465029: how much lowfat milk (1%) fat and how much whole milk (4% fat) should be mmixed to make 5 gallon of reduced fat milk (2%) \n" ); document.write( "

Algebra.Com's Answer #318639 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = gallons of 1% milk needed
\n" ); document.write( "Let $\"b\"$ = gallons of 4% milk needed
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+5+\"$
\n" ); document.write( "(2) $\"+%28.01a+%2B+.04b%29+%2F+5+=+.02+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "(2) $\"+.01a+%2B+.04b+=+.1+\"$
\n" ); document.write( "(2) $\"+a+%2B+4b+=+10+\"$
\n" ); document.write( "and, from (1),
\n" ); document.write( "(1) $\"+a+=+5+-+b+\"$
\n" ); document.write( "By substitution,
\n" ); document.write( "(2) $\"+5+-+b+%2B+4b+=+10+\"$
\n" ); document.write( "(2) $\"+3b+=+5+\"$
\n" ); document.write( "(2) $\"+b+=+5%2F3+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+b+=+5+\"$
\n" ); document.write( "(1) $\"+a+=+5+-+5%2F3+\"$
\n" ); document.write( "(1) $\"+a+=+10%2F3+\"$
\n" ); document.write( "10/3 gallons of 1% milk are needed
\n" ); document.write( "5/3 gallons of 4% milk are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+.01a+%2B+.04b+=+.1+\"$
\n" ); document.write( "(2) $\"+.01%2A%2810%2F3%29+%2B+.04%2A%285%2F3%29+=+.1+\"$
\n" ); document.write( "(2) $\"+.1%2F3+%2B+.2%2F3+=+.1+\"$
\n" ); document.write( "(2) $\"+.1+%2B+.2+=+.3+\"$
\n" ); document.write( "(2) $\"+.3+=+.3+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );