document.write( "Question 412152: Find how many quarts of 6% butterfat milk and 3 % butterfat milk should be mixed to yield 45 quarts of 5% butterfat milk \n" ); document.write( "

Algebra.Com's Answer #289558 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = quarts of 6% milk needed
\n" ); document.write( "Let $\"b\"$ = quarts of 3% milk needed
\n" ); document.write( "------------------------------
\n" ); document.write( "In words:
\n" ); document.write( "(total quarts of butterfat)/(total quarts of milk) = 5%
\n" ); document.write( "(1) $\"%28.06a+%2B+.03b%29%2F%28a+%2B+b%29+=+.05\"$
\n" ); document.write( "(2) $\"a+%2B+b+=+45\"$
\n" ); document.write( "---------------
\n" ); document.write( "From (1)
\n" ); document.write( "(1) $\".06a+%2B+.03b+=+.05%2A%28a+%2B+b%29\"$
\n" ); document.write( "(1) $\".06a+%2B+.03b+=+.05a+%2B+.05b\"$
\n" ); document.write( "(1) $\".01a+=+.02b\"$
\n" ); document.write( "(1) $\"a+=+2b\"$
\n" ); document.write( "----------------
\n" ); document.write( "(2) $\"2b+%2B+b+=+45\"$
\n" ); document.write( "(2) $\"3b+=+45\"$
\n" ); document.write( "(2) $\"b+=+15\"$
\n" ); document.write( "and,
\n" ); document.write( "(2) $\"a+=+45+-+15\"$
\n" ); document.write( "(2) $\"a+=+30\"$
\n" ); document.write( "30 quarts of 6% and 15 quarts of 3% butterfat milk are needed
\n" ); document.write( "check answer:
\n" ); document.write( "(1) $\".06a+%2B+.03b+=+.05%2A%28a+%2B+b%29\"$
\n" ); document.write( "(1) $\".06%2A30+%2B+.03%2A15+=+.05%2A45\"$
\n" ); document.write( "(1) $\"1.8+%2B+.45+=+2.25\"$
\n" ); document.write( "(1) $\"2.25+=+2.25\"$
\n" ); document.write( "OK \n" ); document.write( "

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