document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767820>Question 767820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two boxes of groceries each have a mass of 20 kg. The mass of the &#64257;rst box increases to 29 kg after a<BR>\n" );
document.write( "bag of potatoes and 3 bags of rice are added to it. The mass of the second box decreases to 16 kg after<BR>\n" );
document.write( "2 bags of potatoes are removed and 1 bag of rice is added to it. What are the individual masses of a<BR>\n" );
document.write( "bag of potatoes and a bag of rice? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467944 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=467944\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Unknown variables are kg per bag of potatos, p;<BR>\n" );
document.write( "and kg per bag of rice, r.\r<BR>\n" );
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document.write( "Box1:<BR>\n" );
document.write( "kilograms increase 29 kg with 1 bag potatos and 3 bags rice.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29=1%2Ap%2B3%2Ar ALIGN=MIDDLE  ALT=\"29=1%2Ap%2B3%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Box2:<BR>\n" );
document.write( "kilograms decrease by removal of potatos but addition of rice...<BR>\n" );
document.write( "DECREASE by 16 kilograms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16=-2%2Ap%2B1%2Ar ALIGN=MIDDLE  ALT=\"-16=-2%2Ap%2B1%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simpler and more convenient form for those equations as a system:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-2p%2Br=-16%29 ALIGN=MIDDLE  ALT=\"highlight%28-2p%2Br=-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28p%2B3r=29%29 ALIGN=MIDDLE  ALT=\"highlight%28p%2B3r=29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the \"-16\" equation can be further handled, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2p-r=16 ALIGN=MIDDLE  ALT=\"2p-r=16\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Also if multiply this entire equation by 3 and then add to the \"29\" equation we can then directly solve for p; and then go back to either equation and solve for r.<BR>\n" );
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document.write( "ANSWER: In fact, should find p=11 and therefore r=6 kilograms per bag.<BR>\n" );
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