document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=826814>Question 826814</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Donna wants to make trail mix made up of almonds,walnuts and raisins.she wants to mix one part almonds,two parts walnuts,and three parts raisins.almonds cost $12per pound,walnuts cost $9 per pound,and raisins cost $5 per pound.<BR>\n" );
document.write( "Donna has $15 to spend on the trail mix.determine how many pounds of trail mix she can make. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #498274 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=498274\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a, w, r, the quantities of almonds, walnuts, and raisins.\r<BR>\n" );
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document.write( "The ratio wanted in a:w:r, is 1:2:3.<BR>\n" );
document.write( "This ratio is based on six parts for the whole mix.\r<BR>\n" );
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document.write( "Accounting for money,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29a%2A12+=+2a ALIGN=MIDDLE  ALT=\"%281%2F6%29a%2A12+=+2a\"   DISABLED_style= \"max-width:90%; height:auto;\" > = cost for almonds;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F6%29w%2A9=%281%2F3%29w%2A9=3w ALIGN=MIDDLE  ALT=\"%282%2F6%29w%2A9=%281%2F3%29w%2A9=3w\"   DISABLED_style= \"max-width:90%; height:auto;\" > = cost for walnuts<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F6%29r%2A5=%285%2F2%29r ALIGN=MIDDLE  ALT=\"%283%2F6%29r%2A5=%285%2F2%29r\"   DISABLED_style= \"max-width:90%; height:auto;\" > = cost for raisins<BR>\n" );
document.write( "The equation for cost according to the $15 restriction is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282a%2B3w%2B%285%2F2%29r=15%29 ALIGN=MIDDLE  ALT=\"highlight%282a%2B3w%2B%285%2F2%29r=15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Use the ratios to obtain two more equations.<BR>\n" );
document.write( "Looking at the parts of the ratio, you see <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B2=3 ALIGN=MIDDLE  ALT=\"1%2B2=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, corresponding to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a%2Bw=r%29 ALIGN=MIDDLE  ALT=\"highlight%28a%2Bw=r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;  What next?<BR>\n" );
document.write( "The mix contains 2 parts walnuts and 1 part almonds.  Meaning is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28w=2a%29 ALIGN=MIDDLE  ALT=\"highlight%28w=2a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;  Anything else?<BR>\n" );
document.write( "Almonds 1 part, raisins 3 parts.  Meaning is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28r=3a%29 ALIGN=MIDDLE  ALT=\"highlight%28r=3a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "That all might be enough to work with.\r<BR>\n" );
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document.write( "Can the money equation be expressed in just ONE variable?<BR>\n" );
document.write( "Look at the equations from the ratio:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bw=r ALIGN=MIDDLE  ALT=\"a%2Bw=r\"   DISABLED_style= \"max-width:90%; height:auto;\" >; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=2a ALIGN=MIDDLE  ALT=\"w=2a\"   DISABLED_style= \"max-width:90%; height:auto;\" >; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=3a ALIGN=MIDDLE  ALT=\"r=3a\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Obvious substitutions now ready for w and r.<BR>\n" );
document.write( "Restate money equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282a%2B3w%2B%285%2F2%29r=15%29 ALIGN=MIDDLE  ALT=\"highlight%282a%2B3w%2B%285%2F2%29r=15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "'<BR>\n" );
document.write( "Make the substitutions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%282a%2B3%282a%29%2B%285%2F2%29%283a%29=15%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%282a%2B3%282a%29%2B%285%2F2%29%283a%29=15%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, expressed only in the single variable, a for the almonds.\r<BR>\n" );
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document.write( "'<BR>\n" );
document.write( "Solving ...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%282%2B6%2B15%2F2%29=15 ALIGN=MIDDLE  ALT=\"a%282%2B6%2B15%2F2%29=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%284%2B12%2B15%29=30 ALIGN=MIDDLE  ALT=\"a%284%2B12%2B15%29=30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2831%29=30 ALIGN=MIDDLE  ALT=\"a%2831%29=30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=30%2F31%29 ALIGN=MIDDLE  ALT=\"highlight%28a=30%2F31%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > -----(not yet full pound, so wondering if made a mistake somewhere).<BR>\n" );
document.write( "'<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=2a ALIGN=MIDDLE  ALT=\"w=2a\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28w=60%2F31%29 ALIGN=MIDDLE  ALT=\"highlight%28w=60%2F31%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "'<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=3a ALIGN=MIDDLE  ALT=\"r=3a\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28r=90%2F31%29 ALIGN=MIDDLE  ALT=\"highlight%28r=90%2F31%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "'<BR>\n" );
document.write( "The results should really be checked to see if these quantities really do give a cost of $15. </SPAN>\n" );
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