document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1103213>Question 1103213</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Extreme Rock Climbing Club planned a climbing expedition.  The total cost was $2000, which was to be divided equally among the members going.  Prior to the trip, 5 members decided not to go.  If the cost per person increased by $20, how many people went on the expedition?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #717915 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=717915\">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 $2000, which was to be divided equally among the members going. Prior to the trip, 5 members decided not to go. If the cost per person increased by $20, how many people went on the expedition? <BR>\n" );
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document.write( "Original cost per person:: 2000/x<BR>\n" );
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document.write( "Changed cost per person:: 2000/(x-5)<BR>\n" );
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document.write( "Equation:: changed - original = 20<BR>\n" );
document.write( "2000/(x-5) - 2000/x = 20<BR>\n" );
document.write( "2000x - 2000x + 2000*5 = 20x(x-5)<BR>\n" );
document.write( "10000 = 20x^2-100<BR>\n" );
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document.write( "500 = x^2 - 5x<BR>\n" );
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document.write( "x^2 - 5x - 500 = 0\r<BR>\n" );
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document.write( "(x+20)*(x-25) = 0<BR>\n" );
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document.write( "Only positive root makes sense  ====>  x = 25.<BR>\n" );
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document.write( "SOLVED.\r<BR>\n" );
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