document.write( "Question 1019724: Two gallons of milk contain 2% butterfat. How many quarts of milk should be drained and replaced by pure butterfat to produce a mixture of two gallons of milk containing 5% butterfat? (Hint: there are 4 quarts in a gallon) \n" ); document.write( "
Algebra.Com's Answer #635683 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Convert gallons to quarts:
\n" ); document.write( "\"+2%2A4+=+8+\" quarts
\n" ); document.write( "Let \"+x+\" = quarts of milk should be
\n" ); document.write( "drained and replaced by pure butterfat
\n" ); document.write( "-------------------------------
\n" ); document.write( "\"+.02x+\" = pure butter fat in \"+x+\"
\n" ); document.write( "quarts of milk
\n" ); document.write( "--------------------------------
\n" ); document.write( "\"+.02%2A8+=+.16+\" = original quarts of butterfat
\n" ); document.write( "----------------
\n" ); document.write( "Note that you start with 8 quarts and
\n" ); document.write( "end up with 8 quarts
\n" ); document.write( "\"+%28+.16+-+.02x+%2B+x+%29+%2F+8+=+.05%0D%0A%7B%7B%7B+%28+.16+%2B+.98x+%29+%2F+8+=+.05+\"
\n" ); document.write( "\"+.16+%2B+.98x+=+.4+\"
\n" ); document.write( "\"+.98x+=+.24+\"
\n" ); document.write( "\"+x+=+.2449+\"
\n" ); document.write( ".2449 quarts of milk must be drained and
\n" ); document.write( "replaced with pure butterfat
\n" ); document.write( "------------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+.02%2A.2449+=+.004898+\" quarts of
\n" ); document.write( "butterfat is drained off
\n" ); document.write( "----------------------
\n" ); document.write( "\"+.2449+\" quarts of butterfat is added
\n" ); document.write( "----------------------------------
\n" ); document.write( "\"+%28+.16+-+.004898+%2B+.2449+%29+%2F+8+=+.05+\"
\n" ); document.write( "\"+.4%2F8+=+.05+\"
\n" ); document.write( "\"+.4+=+.4+\"
\n" ); document.write( "---------------
\n" ); document.write( "Strange numbers -definitely get a 2nd opinion
\n" ); document.write( "-unless the answer is already known.
\n" ); document.write( "
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