document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=136378>Question 136378</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a merchant mix peanuts that sells for $3/pound and cashews that sells for $6/pound to get 48 lbs of mixed nuts that sells for $4/pound. How many pounds of each should the merchant use.\r<BR>\n" );
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document.write( "i know this is a system of equations> here is how i proceeded with the problem\r<BR>\n" );
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document.write( "x + y = 48\r<BR>\n" );
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document.write( "3x+6y= 48, now i am stuck. i am not sure if i even did it right </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99899 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=99899\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With these type of problems, you have to be able to explain<BR>\n" );
document.write( "the reason for the formula, or chances are, you won't get<BR>\n" );
document.write( "it right. I like to write the formulas out in words to see<BR>\n" );
document.write( "if it makes sense. For this problem:<BR>\n" );
document.write( "[(price/lb of peanuts)x(lbs of peanuts) <BR>\n" );
document.write( "+ (price/lb of cashews)x(lbs of cashews)] / (48 lbs of mixture) = $4/lb<BR>\n" );
document.write( "This makes sense to me, because it's<BR>\n" );
document.write( "($ + $)/ lbs = $/lb<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p ALIGN=MIDDLE  ALT=\"p\"   DISABLED_style= \"max-width:90%; height:auto;\" > = pounds of peanuts in mixture<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" > = pounds of cashews in mixture<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283p+%2B+6c%29+%2F+48+=+4 ALIGN=MIDDLE  ALT=\"%283p+%2B+6c%29+%2F+48+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+%2B+c+=+48 ALIGN=MIDDLE  ALT=\"p+%2B+c+=+48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+48+-+c ALIGN=MIDDLE  ALT=\"p+=+48+-+c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute this in the 1st equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2848-c%29+%2B+6c%29+%2F+48+=+4 ALIGN=MIDDLE  ALT=\"%283%2848-c%29+%2B+6c%29+%2F+48+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28144+-+3c+%2B+6c%29+%2F+48+=+4 ALIGN=MIDDLE  ALT=\"%28144+-+3c+%2B+6c%29+%2F+48+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144+%2B+3c+=+4%2A48 ALIGN=MIDDLE  ALT=\"144+%2B+3c+=+4%2A48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3c+=+192+-+144 ALIGN=MIDDLE  ALT=\"3c+=+192+-+144\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3c+=+48 ALIGN=MIDDLE  ALT=\"3c+=+48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+16 ALIGN=MIDDLE  ALT=\"c+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+48+-+c ALIGN=MIDDLE  ALT=\"p+=+48+-+c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+48+-+16 ALIGN=MIDDLE  ALT=\"p+=+48+-+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+32 ALIGN=MIDDLE  ALT=\"p+=+32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The merchant needs 16 pounds of casews and 32 pounds of peanuts<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283p+%2B+6c%29+%2F+48+=+4 ALIGN=MIDDLE  ALT=\"%283p+%2B+6c%29+%2F+48+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2A32+%2B+6%2A16%29+%2F+48+=+4 ALIGN=MIDDLE  ALT=\"%283%2A32+%2B+6%2A16%29+%2F+48+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2896+%2B+96%29%2F48+=+4 ALIGN=MIDDLE  ALT=\"%2896+%2B+96%29%2F48+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=192%2F48+=+4 ALIGN=MIDDLE  ALT=\"192%2F48+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+=+4 ALIGN=MIDDLE  ALT=\"4+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "Remember, you must understand the formula you are using, or one little<BR>\n" );
document.write( "change in the wording of the problem will throw you off </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );