document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=26423>Question 26423</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A fraternity charters a bus for a ski trip at a cost of $360.  When 6 more students join the trip, each person's cost decreases by $2.  How many students were in the original group of travelers?\r<BR>\n" );
document.write( "\n" );
document.write( "This is my work.\r<BR>\n" );
document.write( "\n" );
document.write( "6(x-2)(x-2)=360<BR>\n" );
document.write( "6x squared -24x + 24 -360=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #14265 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=14265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let original number of students be \"x\"<BR>\n" );
document.write( "Their individual cost is 360/x<BR>\n" );
document.write( "If six more join there are now \"x+6\"<BR>\n" );
document.write( "Individual cost for this expanded group would be 360/(x+6)<BR>\n" );
document.write( "But this last individual cost is $2 less than the original individual cost.<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( " Original indiv. cost - New indiv cost = $2<BR>\n" );
document.write( "360/x - 360/(x+6)= 2<BR>\n" );
document.write( "1/x -1/(x+6)= 1/180<BR>\n" );
document.write( "6/[x(x+6)] = 1/180<BR>\n" );
document.write( "x^2+6x-1080=0<BR>\n" );
document.write( "(x+36)(x-30)=0<BR>\n" );
document.write( "x=30 (size of original group)\r<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );