document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180229>Question 1180229</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Extreme Rock Climbing Club planned a climbing expedition.  The total cost was $4600, 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 $46, 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 #809861 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=809861\">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 $4600,\r<BR>\n" );
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document.write( " which was to be divided equally among the members going.<BR>\n" );
document.write( "let the number of people opted to go be x\r<BR>\n" );
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document.write( "cost per person = 4600/x\r<BR>\n" );
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document.write( "  Prior to the trip, 5 members decided not to go.\r<BR>\n" );
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document.write( "5 members opted out<BR>\n" );
document.write( "(x-5) go to the trip\r<BR>\n" );
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document.write( "4600/(x-5) -4600/x   = 46 \r<BR>\n" );
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document.write( "multiply the terms by x(x-5)\r<BR>\n" );
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document.write( "4600x -4600(x-5) = x(x-5)*46\r<BR>\n" );
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document.write( "4600 -4600x +18400 = 46x^2 -230x\r<BR>\n" );
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document.write( "46x^2-230x -23000 =0\r<BR>\n" );
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document.write( "divide by 23\r<BR>\n" );
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document.write( "2x^2-10x-1000=0\r<BR>\n" );
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document.write( "(x+20)(x-25)=0\r<BR>\n" );
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document.write( "x= 25\r<BR>\n" );
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document.write( "20 people went on the expedition </SPAN>\n" );
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