document.write( "Question 560444: Cream is approximately 22% butterfat. How many gallons of cream must be mixed with milk testing at 2% butterfat to get 20 gallons of milk containing 4% butterfat? \n" ); document.write( "

Algebra.Com's Answer #363882 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+c+\"$ = gallons of cream needed
\n" ); document.write( "Let $\"+m+\"$ = gallons of milk needed
\n" ); document.write( "given:
\n" ); document.write( " $\"+.22c+\"$ = gallons of butterfat in cream used
\n" ); document.write( " $\"+.02m+\"$ = gallons of butterfat in milk used
\n" ); document.write( "--------
\n" ); document.write( "(1) $\"+c+%2B+m+=+20+\"$
\n" ); document.write( "(2) $\"+%28+.22c+%2B+.02m+%29+%2F+20+=+.04+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "(2) $\"+.22c+%2B+.02m+=+.04%2A20+\"$
\n" ); document.write( "(2) $\"+.22c+%2B+.02m+=+.8+\"$
\n" ); document.write( "(2) $\"+22c+%2B+2m+=+80+\"$
\n" ); document.write( "(2) $\"+11c+%2B+m+=+40+\"$
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) $\"+11c+%2B+m+=+40+\"$
\n" ); document.write( "(1) $\"+-c+-+m+=+-20+\"$
\n" ); document.write( " $\"+10c+=+20+\"$
\n" ); document.write( " $\"+c+=+2+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+c+%2B+m+=+20+\"$
\n" ); document.write( "(1) $\"+2+%2B+m+=+20+\"$
\n" ); document.write( "(1) $\"+m+=+18+\"$
\n" ); document.write( "2 gallons of cream must be used
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+%28+.22%2A2+%2B+.02%2A18+%29+%2F+20+=+.04+\"$
\n" ); document.write( "(2) $\"+%28+.44+%2B+.36+%29+%2F+20+=+.04+\"$
\n" ); document.write( "(2) $\"+.8+=+.04%2A20+\"$
\n" ); document.write( "(2) $\"+.8+=+.8+\"$
\n" ); document.write( "OK \n" ); document.write( "

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