document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=710524>Question 710524</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here is the problem:\r<BR>\n" );
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document.write( "Candy corn is $5 a pound and Good-N-Plenty is $7 a pound. Cindy wants 100 pounds of a mixture worth $5.44 a pound. How many pounds of each does she need?\r<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 #437026 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=437026\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Put some variables into this and then create the suitable equations to solve.\r<BR>\n" );
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document.write( "L, the price of the cheaper candy, $5/pound<BR>\n" );
document.write( "H, the price of the more expensive candy, $7/pound<BR>\n" );
document.write( "T, the target price of the mixture of candies, %5.44/pound<BR>\n" );
document.write( "u, how many pounds of the cheaper candy to use, unknown<BR>\n" );
document.write( "v, how many pounds of the more expensive candy to use, unknown<BR>\n" );
document.write( "M, the amount of mixed candy using the two (Candy Corn and Good-n-Plenty), 100 pounds\r<BR>\n" );
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document.write( "MAKING THE EQUATIONS\r<BR>\n" );
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document.write( "This will be the money divided by the mixture, equivalent to the target price per pound.\r<BR>\n" );
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document.write( "SYSTEM<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28uL%2BvH%29%2FM=T ALIGN=MIDDLE  ALT=\"%28uL%2BvH%29%2FM=T\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<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( "Various ways to solve that for u and v.  Here, I'll use the second equation, solve it for u, then substitute this into the rational equation and solve for v.\r<BR>\n" );
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document.write( "Find first, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=M-v ALIGN=MIDDLE  ALT=\"u=M-v\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  \r<BR>\n" );
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document.write( "Now let's use the work at the rational equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=uL%2BvH=MT ALIGN=MIDDLE  ALT=\"uL%2BvH=MT\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28M-v%29L%2BvH=MT ALIGN=MIDDLE  ALT=\"%28M-v%29L%2BvH=MT\"   DISABLED_style= \"max-width:90%; height:auto;\" >, just substituted for u.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ML-Lv%2BHv=MT ALIGN=MIDDLE  ALT=\"ML-Lv%2BHv=MT\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-Lv%2BHv=MT-ML ALIGN=MIDDLE  ALT=\"-Lv%2BHv=MT-ML\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Hv-Lv=MT-ML ALIGN=MIDDLE  ALT=\"Hv-Lv=MT-ML\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%28H-L%29=M%28T-L%29 ALIGN=MIDDLE  ALT=\"v%28H-L%29=M%28T-L%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%28v=M%28T-L%29%2F%28H-L%29%29 ALIGN=MIDDLE  ALT=\"highlight%28v=M%28T-L%29%2F%28H-L%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, our first part of the solution, all in symbols.\r<BR>\n" );
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document.write( "Now, you could substitute the known values and find the value for v.  Use the simpler relation, u=M-v to get the value for u.\r<BR>\n" );
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document.write( "The final numeric values answer for this one is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28u=78%29 ALIGN=MIDDLE  ALT=\"highlight%28u=78%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >   and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28v=22%29 ALIGN=MIDDLE  ALT=\"highlight%28v=22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  pounds of Candy Corn, and Good-N-Plenty, respectively for 100 pound mixture at $5.44/pound. </SPAN>\n" );
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