document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=271125>Question 271125</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The rent for a ski lodge is $600.  The members of the ski club were to share the rental fee equally.  When 5 members canceled, the cost per member increased by $4.  How much did each member finally pay for the rent? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198540 by </B><A HREF=/tutors/aboutme.mpl?userid=Greenfinch><B>Greenfinch(383)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Greenfinch><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=Greenfinch><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=198540\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Final members are X<BR>\n" );
document.write( "Initially, members are X + 5<BR>\n" );
document.write( "Initial rent i/s 600/(X + 5)<BR>\n" );
document.write( "Final rent is 600/X<BR>\n" );
document.write( "so 600/X - 600/(X + 5) = 4<BR>\n" );
document.write( "600(X + 5) - 600X = 4X(X+5)<BR>\n" );
document.write( "4X^2 +5X - 3000 = 0 <BR>\n" );
document.write( "(X + 30)(X - 25) = 0<BR>\n" );
document.write( "X = -30, 25<BR>\n" );
document.write( "So X = 25.<BR>\n" );
document.write( "check, with 30 members, cost would be $20<BR>\n" );
document.write( "with 25 members cost would be $24 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );