document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1019921>Question 1019921</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I was told to get a second opinion on this question -\r<BR>\n" );
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document.write( "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? (4 quarts in a gallon)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #635876 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=635876\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have 2 gallons or 2*4 = 8 quarts of mixture<BR>\n" );
document.write( "Let x be the number of quarts to replace with 100% fat to produce 5% mixture<BR>\n" );
document.write( "(2%(8-x) + 100%(x) )/8 equals 5/100<BR>\n" );
document.write( "That is 2% times the amount left after removing x quarts plus<BR>\n" );
document.write( "100% times the same x quarts now being replaced<BR>\n" );
document.write( "divided by 8, since we will continue to have 8 quarts.<BR>\n" );
document.write( "This is set equal to 5/100 or 5%<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.02%288-x%29+%2B+1%28x%29+%29%2F8+=+5%2F100 ALIGN=MIDDLE  ALT=\"%280.02%288-x%29+%2B+1%28x%29+%29%2F8+=+5%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.16-0.02x+%2B+x+%29%2F8+=+5%2F100 ALIGN=MIDDLE  ALT=\"%280.16-0.02x+%2B+x+%29%2F8+=+5%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.16%2B0.98x+%29%2F8+=+5%2F100 ALIGN=MIDDLE  ALT=\"%280.16%2B0.98x+%29%2F8+=+5%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%280.16%2B0.98x+%29+=+8%2A5 ALIGN=MIDDLE  ALT=\"100%280.16%2B0.98x+%29+=+8%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%280.16%2B0.98x+%29+=+40 ALIGN=MIDDLE  ALT=\"100%280.16%2B0.98x+%29+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2B98x++=+40 ALIGN=MIDDLE  ALT=\"16%2B98x++=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "add -16 to each side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=98x++=+24 ALIGN=MIDDLE  ALT=\"98x++=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide each side by 98<BR>\n" );
document.write( "x = 24/98<BR>\n" );
document.write( "x = 0.2449 quarts<BR>\n" );
document.write( "Double check<BR>\n" );
document.write( "Substitute 0.2449 for x in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.02%288-x%29+%2B+1%28x%29+%29%2F8 ALIGN=MIDDLE  ALT=\"%280.02%288-x%29+%2B+1%28x%29+%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.02%288-0.2449%29+%2B+1%280.2449%29+%29%2F8 ALIGN=MIDDLE  ALT=\"%280.02%288-0.2449%29+%2B+1%280.2449%29+%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.02%287.7551%29+%2B+0.2449+%29%2F8 ALIGN=MIDDLE  ALT=\"%280.02%287.7551%29+%2B+0.2449+%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.400002+%29%2F8 ALIGN=MIDDLE  ALT=\"%280.400002+%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "0.05000025<BR>\n" );
document.write( "5.000025% , so we have it<BR>\n" );
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