document.write( "Question 879396: Hi,
\n" ); document.write( " I have tried this problem 2 different ways and I am still not getting correct answers. Can you show me the correct format.\r
\n" ); document.write( "\n" ); document.write( "Find how many quarts of 6% butterfat milk and 3% butterfat milk should be mixed to yield 45 quarts of 4% butterfat milk?
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Algebra.Com's Answer #530739 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = quarts of 6% milk needed
\n" ); document.write( "Let \"+b+\" = quarts of 3% milk needed
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\n" ); document.write( "(1) \"+a+%2B+b++=+45+\"
\n" ); document.write( "(2) \"+%28+.06a+%2B+.03b+%29+%2F+45+=+.04+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "(2) \"+.06a+%2B+.03b+=+1.8+\"
\n" ); document.write( "(2) \"+6a+%2B+3b+=+180+\"
\n" ); document.write( "Multiply both sids of (1) by \"+3+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+6a+%2B+3b+=+180+\"
\n" ); document.write( "(1) \"+-3a+-+3b+=+-135+\"
\n" ); document.write( "\"+3a+=+45+\"
\n" ); document.write( "\"+a+=+15+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+a+%2B+b++=+45+\"
\n" ); document.write( "(1) \"+b+=+45+-+15+\"
\n" ); document.write( "(1) \"+b+=+30+\"
\n" ); document.write( "---------------
\n" ); document.write( "15 quarts of 6% milk are needed
\n" ); document.write( "30 quarts of 3% milk are needed
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.06a+%2B+.03b+%29+%2F+45+=+.04+\"
\n" ); document.write( "(2) \"+%28+.06%2A15+%2B+.03%2A30+%29+%2F+45+=+.04+\"
\n" ); document.write( "(2) \"+%28+.9+%2B+.9+%29+%2F+45+=+.04+\"
\n" ); document.write( "(2) \"+1.8+=+.04%2A45+\"
\n" ); document.write( "(2) \"+1.8+=+1.8+\"
\n" ); document.write( "OK
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