document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1029941>Question 1029941</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A merchant wishes to mix two grades of peanuts costing $3 and $4 per pound, respectively, with cashews costing $8 per pound, to obtain 140 pounds of a mixture costing $6 per pound. If the merchant also wants the amount of cheaper-grade peanuts to be twice that of the better-grade peanuts, how<BR>\n" );
document.write( "many pounds of each variety should be mixed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644874 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=644874\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z for cashews<BR>\n" );
document.write( "x and y for the peanuts, cheap and expensive in that order<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fy=2 ALIGN=MIDDLE  ALT=\"x%2Fy=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "from which<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2y ALIGN=MIDDLE  ALT=\"x=2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Poundage:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2Bz=140 ALIGN=MIDDLE  ALT=\"x%2By%2Bz=140\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Mixture Price:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B4y%2B8z%29%2F%28140%29=6 ALIGN=MIDDLE  ALT=\"%283x%2B4y%2B8z%29%2F%28140%29=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Make the substitution for x, and simplify into the TWO variable system:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283y%2Bz=140%2C10y%2B8z=6%2A140%29 ALIGN=MIDDLE  ALT=\"system%283y%2Bz=140%2C10y%2B8z=6%2A140%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "further simplifiable to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28system%283y%2Bz=140%2C5y%2B4z=420%29%29 ALIGN=MIDDLE  ALT=\"highlight%28system%283y%2Bz=140%2C5y%2B4z=420%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------------solve this system for y and z, and then find x from the earlier given equation from the description. </SPAN>\n" );
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