document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132413>Question 132413</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Some students planned for a get-together. The budget for food was $500. Five of the students failed to come becuase of the distance, and therefore the cost of food for each  member increased by $5. How many students attended the get-together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96804 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=96804\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In the beginning, there were x students, when five didn't show up, there were x - 5 students.\r<BR>\n" );
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document.write( "In the beginning, the cost per student was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2Fx ALIGN=MIDDLE  ALT=\"500%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > but when five students didn't show up, the cost was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2F%28x-5%29 ALIGN=MIDDLE  ALT=\"500%2F%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this cost was $5 more than the original cost per student, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2Fx=500%2F%28x-5%29-5 ALIGN=MIDDLE  ALT=\"500%2Fx=500%2F%28x-5%29-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Need an LCD of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5 ALIGN=MIDDLE  ALT=\"x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the right:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2Fx=%28500-5%28x-5%29%29%2F%28x-5%29 ALIGN=MIDDLE  ALT=\"500%2Fx=%28500-5%28x-5%29%29%2F%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplify the right hand numerator:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2Fx=%28525-5x%29%2F%28x-5%29 ALIGN=MIDDLE  ALT=\"500%2Fx=%28525-5x%29%2F%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Cross-multiply:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%28x-5%29=%28525-5x%29x ALIGN=MIDDLE  ALT=\"500%28x-5%29=%28525-5x%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Expand:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500x-2500=525x-5x%5E2 ALIGN=MIDDLE  ALT=\"500x-2500=525x-5x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Collect terms and put into standard form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2-25x-2500=0 ALIGN=MIDDLE  ALT=\"5x%5E2-25x-2500=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide by 5:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-5x-500=0 ALIGN=MIDDLE  ALT=\"x%5E2-5x-500=0\"   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=-25%2A20=-500 ALIGN=MIDDLE  ALT=\"-25%2A20=-500\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-25%2B20=-5 ALIGN=MIDDLE  ALT=\"-25%2B20=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-25%29%28x%2B20%29=0 ALIGN=MIDDLE  ALT=\"%28x-25%29%28x%2B20%29=0\"   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=x=25 ALIGN=MIDDLE  ALT=\"x=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-20 ALIGN=MIDDLE  ALT=\"x=-20\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   A negative number for a number of students doesn't make much sense in this context, so exclude -20 as an extraneous root.  There were originally 25 students, so 25 - 5 = 20 actually attended.\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2F25=20 ALIGN=MIDDLE  ALT=\"500%2F25=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2F20=25 ALIGN=MIDDLE  ALT=\"500%2F20=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20+%2B+5+=+25 ALIGN=MIDDLE  ALT=\"20+%2B+5+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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