document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=720539>Question 720539</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A grocer mixed nuts worth $4 per kilograms with raisins worth $3.25 per kilogram to make 15 kg of a mixture worth $3.69 per kilogram. How many kilograms of nuts were used ?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #441863 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=441863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An item at a price H was mixed with an item at price L to make M quantity of mixture worth T.  How much of each item was used?\r<BR>\n" );
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document.write( "Let u = amount of lower priced item to use<BR>\n" );
document.write( "Let v = amount of higher proced item to use\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28Lu%2BHv%29%2FM=T%29 ALIGN=MIDDLE  ALT=\"highlight%28%28Lu%2BHv%29%2FM=T%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28u%2Bv=M%29 ALIGN=MIDDLE  ALT=\"highlight%28u%2Bv=M%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Solve for and find u and v.\r<BR>\n" );
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document.write( "From rational equation, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Lu%2BHv=TM ALIGN=MIDDLE  ALT=\"Lu%2BHv=TM\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Using the M sum equation, <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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Lu%2BH%28M-u%29=TM ALIGN=MIDDLE  ALT=\"Lu%2BH%28M-u%29=TM\"   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=TM ALIGN=MIDDLE  ALT=\"Lu%2BHM-Hu=TM\"   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=TM-HM ALIGN=MIDDLE  ALT=\"Lu-Hu=TM-HM\"   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=%28T-H%29M ALIGN=MIDDLE  ALT=\"%28L-H%29u=%28T-H%29M\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=%28T-H%29M%2F%28L-H%29 ALIGN=MIDDLE  ALT=\"u=%28T-H%29M%2F%28L-H%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and because T-H and L-H are both negative, multiplication by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%2F%28-1%29 ALIGN=MIDDLE  ALT=\"%28-1%29%2F%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > gives us:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28u=%28H-T%29M%2F%28H-L%29%29 ALIGN=MIDDLE  ALT=\"highlight%28u=%28H-T%29M%2F%28H-L%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "You can continue onward to solve for v, and then substitute given values to compute u and v. </SPAN>\n" );
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