document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=946768>Question 946768</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A shopkeeper wants to mix three types of nut to produce a special nut mix. She will<BR>\n" );
document.write( "mix peanuts, brazil nuts and cashew nuts. The brazil nuts sell for £1.10 per 100g, and<BR>\n" );
document.write( "as she has only 20 kg left, she wants to use all of them. The peanuts sell for £0.50 per<BR>\n" );
document.write( "100g and the cashews for £0.90 per 100g, and there are plenty of peanuts and<BR>\n" );
document.write( "cashews. How much of each should be in the mixture if the shopkeeper will be<BR>\n" );
document.write( "producing 100 kg of mixed nuts to be sold at £0.80 per 100g? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #577582 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=577582\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p, b, c, for peanut, brazil nut, cashew nut quantities IN KILOGRAMS.\r<BR>\n" );
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document.write( "NUT_________|_______PRICE<BR>\n" );
document.write( "peanut______|_______0.5 per 0.1 kg<BR>\n" );
document.write( "brazil______|_______1.10 per 0.1 kg<BR>\n" );
document.write( "cashw_______|_______0.90 per 0.1 kg\r<BR>\n" );
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document.write( "Already known to use b=20 kg,  ALL of the brazil nuts for the mixture.<BR>\n" );
document.write( "WANT:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.80%2F0.10%29%28pound%2Fkilogram%29 ALIGN=MIDDLE  ALT=\"%280.80%2F0.10%29%28pound%2Fkilogram%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  mixture price.  Also mixture quantity 100 kg.\r<BR>\n" );
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document.write( "Account for mass or kilograms and account for total cost, and compare to the required price.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cost%29%2F%28mass%29=price ALIGN=MIDDLE  ALT=\"%28cost%29%2F%28mass%29=price\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%280.5%2F0.1%29%2B20%281.1%2F0.1%29%2Bc%280.9%2F0.1%29%29%2F%28100%29=%280.8%2F0.1%29 ALIGN=MIDDLE  ALT=\"%28p%280.5%2F0.1%29%2B20%281.1%2F0.1%29%2Bc%280.9%2F0.1%29%29%2F%28100%29=%280.8%2F0.1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  AND  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28p%2B20%2Bc=100%29 ALIGN=MIDDLE  ALT=\"highlight%28p%2B20%2Bc=100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Those are a system of, once simplified, two linear equations in the two unknown variables, p and c.\r<BR>\n" );
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document.write( "The price equation initially simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%285p%2B11%2A20%2B9c%29=800%29 ALIGN=MIDDLE  ALT=\"highlight%28%285p%2B11%2A20%2B9c%29=800%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Go on from there....\r<BR>\n" );
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document.write( "Understand, \"pound\" as used here is a MONEY unit.   </SPAN>\n" );
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