document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1056296>Question 1056296</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Extreme Rock Climbing Club planned a climbing expedition.  The total cost was $2600$2600, which was to be divided equally among the members going.  Prior to the trip, 1010 members decided not to go.  If the cost per person increased by $130$130, how many people went on the expedition? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #671452 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39621)</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=671452\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Extreme Rock Climbing Club planned a climbing expedition.  The total cost was $2600<s>$2600</s>, which was to be divided equally among the members going.  Prior to the trip, 1010 members decided not to go.  If the cost per person increased by $130<s>$130</s>, how many people went on the expedition?<BR>\n" );
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document.write( "Let c be the original number of climbers planning to go.\r<BR>\n" );
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document.write( "Original PRICE,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2600%2Fc ALIGN=MIDDLE  ALT=\"2600%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > dollars per member;\r<BR>\n" );
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document.write( "New price if 1010 members decided not to go, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2600%2F%28c-1010%29 ALIGN=MIDDLE  ALT=\"2600%2F%28c-1010%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This is given as  130 dollar per person increase.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%282600%2F%28c-1010%29-2600%2Fc=130%29 ALIGN=MIDDLE  ALT=\"highlight_green%282600%2F%28c-1010%29-2600%2Fc=130%29\"   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=20%2F%28c-1010%29-20%2Fc=1 ALIGN=MIDDLE  ALT=\"20%2F%28c-1010%29-20%2Fc=1\"   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=20%28c%29-20%28c-1010%29=c%28c-1010%29 ALIGN=MIDDLE  ALT=\"20%28c%29-20%28c-1010%29=c%28c-1010%29\"   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=20c-20c%2B20200=c%5E2-1010c ALIGN=MIDDLE  ALT=\"20c-20c%2B20200=c%5E2-1010c\"   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=20200=c%5E2-1010c ALIGN=MIDDLE  ALT=\"20200=c%5E2-1010c\"   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=c%5E2-1010c-20200=0 ALIGN=MIDDLE  ALT=\"c%5E2-1010c-20200=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check the discriminant.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281010%29%5E2%2B4%2A20200 ALIGN=MIDDLE  ALT=\"%281010%29%5E2%2B4%2A20200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1020100-80800 ALIGN=MIDDLE  ALT=\"1020100-80800\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=939300 ALIGN=MIDDLE  ALT=\"939300\"   DISABLED_style= \"max-width:90%; height:auto;\" >----the discriminant....<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9393%2A10%5E2 ALIGN=MIDDLE  ALT=\"9393%2A10%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A3131%2A10%5E2 ALIGN=MIDDLE  ALT=\"3%2A3131%2A10%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >------discriminant plainly is NOT a perfect square and solution of c will NOT be a whole positive number.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=%281010%2B-+10%2Asqrt%289393%29%29%2F2 ALIGN=MIDDLE  ALT=\"c=%281010%2B-+10%2Asqrt%289393%29%29%2F2\"   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=c=202%2B-+5%2Asqrt%289393%29 ALIGN=MIDDLE  ALT=\"c=202%2B-+5%2Asqrt%289393%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the minus form will not work.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=202%2B5%2A%2896.9175%29 ALIGN=MIDDLE  ALT=\"c=202%2B5%2A%2896.9175%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Most useful original number of planned climbers were  687 club members. </SPAN>\n" );
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