document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135052>Question 1135052</A>: <I><SPAN STYLE=\"word-break: break-all;\">  lauren purchased a box of burgers for 35$ at her usual grocery store. When she got back home she saw a flyer for a different store advertising a price that was 50 cents less per burger. if laura has shopped at the second store she could have bought 8 more burgers for the same price\r<BR>\n" );
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document.write( "what was the price of one of the burgers lauren bought? </SPAN>\n" );
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document.write( "There are many ways to solve this kind of problem.  The following is likely not the easiest -- just what seems to me the \"obvious\" way to get started.<br><BR>\n" );
document.write( "Let n be the number of burgers and p be the price of each.  Then<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=np+=+35 ALIGN=MIDDLE  ALT=\"np+=+35\"   DISABLED_style= \"max-width:90%; height:auto;\" > the cost of the burgers she bought was $35<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B8%29%28p-1%2F2%29+=+35 ALIGN=MIDDLE  ALT=\"%28n%2B8%29%28p-1%2F2%29+=+35\"   DISABLED_style= \"max-width:90%; height:auto;\" > the cost of 8 more burgers at a price 50 cents less each would also have been $35<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=np+=+%28n%2B8%29%28p-1%2F2%29 ALIGN=MIDDLE  ALT=\"np+=+%28n%2B8%29%28p-1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=np+=+np-%281%2F2%29n%2B8p-4 ALIGN=MIDDLE  ALT=\"np+=+np-%281%2F2%29n%2B8p-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8p+=+%281%2F2%29n%2B4 ALIGN=MIDDLE  ALT=\"8p+=+%281%2F2%29n%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16p+=+n%2B8 ALIGN=MIDDLE  ALT=\"16p+=+n%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+16p-8 ALIGN=MIDDLE  ALT=\"n+=+16p-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Substitute that back into the first equation:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%2816p-8%29+=+35 ALIGN=MIDDLE  ALT=\"p%2816p-8%29+=+35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16p%5E2-8p+=+35 ALIGN=MIDDLE  ALT=\"16p%5E2-8p+=+35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16p%5E2-8p-35+=+0 ALIGN=MIDDLE  ALT=\"16p%5E2-8p-35+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284p-7%29%284p%2B5%29+=+0 ALIGN=MIDDLE  ALT=\"%284p-7%29%284p%2B5%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+7%2F4+=+1.75 ALIGN=MIDDLE  ALT=\"p+=+7%2F4+=+1.75\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+-5%2F4+=+-1.25 ALIGN=MIDDLE  ALT=\"p+=+-5%2F4+=+-1.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "A negative price doesn't make any sense, so the price per burger she paid was $1.75.<br><BR>\n" );
document.write( "CHECK: $35 at $1.75 each --> 20 burgers;<BR>\n" );
document.write( "28 burgers at $1.25 each = $35 </SPAN>\n" );
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