document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=791474>Question 791474</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A candy distributor needs to mix a 10% fat-content chocolate with a 60% fat-content chocolate to create 200 kilograms of a 12.5% fat-content chocolate. How many kilograms of each kind of chocolate must they use?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #479620 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=479620\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a mixture problem.  \r<BR>\n" );
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document.write( "First, assign variables to everything:<BR>\n" );
document.write( "H = 60% fat<BR>\n" );
document.write( "T = 12.5% fat<BR>\n" );
document.write( "L = 10% fat<BR>\n" );
document.write( "M = 200 kilograms<BR>\n" );
document.write( "u = unknown amount of the 10% fat candy<BR>\n" );
document.write( "v = unknown amount of the 60% fat candy\r<BR>\n" );
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document.write( "Form the equations to describe the system:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28Lu%2BHv%29%2FM=T ALIGN=MIDDLE  ALT=\"%28Lu%2BHv%29%2FM=T\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%2Bv=M ALIGN=MIDDLE  ALT=\"u%2Bv=M\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve the system for u and v.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=M-u ALIGN=MIDDLE  ALT=\"v=M-u\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Substitute.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Lu%2BH%28M-u%29=MT ALIGN=MIDDLE  ALT=\"Lu%2BH%28M-u%29=MT\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Lu%2BHM-Hu=MT ALIGN=MIDDLE  ALT=\"Lu%2BHM-Hu=MT\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Lu-Hu%2BHM=MT ALIGN=MIDDLE  ALT=\"Lu-Hu%2BHM=MT\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28L-H%29u%2BHM=MT ALIGN=MIDDLE  ALT=\"%28L-H%29u%2BHM=MT\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28L-H%29u=MT-MH ALIGN=MIDDLE  ALT=\"%28L-H%29u=MT-MH\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=%28MT-MH%29%2F%28L-H%29 ALIGN=MIDDLE  ALT=\"u=%28MT-MH%29%2F%28L-H%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28u=M%28T-H%29%2F%28L-H%29%29 ALIGN=MIDDLE  ALT=\"highlight%28u=M%28T-H%29%2F%28L-H%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  --------just watch the signs carefully.<BR>\n" );
document.write( "And conclude for the other quantity, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28v=M-M%28T-H%29%2F%28L-H%29%29 ALIGN=MIDDLE  ALT=\"highlight%28v=M-M%28T-H%29%2F%28L-H%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now just substitute given values to find values of u and v. </SPAN>\n" );
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