document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64152>Question 64152</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Members of the Ski Club contributed equally to obtain $1800 for a holiday trip. When 6 members found that they could not go, their contributions were refunded and each remaining member then had to pay $10 more to raise the $1800. How many went on the trip? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44801 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley71><B>checkley71(8403)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley71><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=44801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1800=m*c m=members & c=contribution <BR>\n" );
document.write( "m=1800/c also<BR>\n" );
document.write( "1800=(m-6)(c+10)<BR>\n" );
document.write( "1800=(1800/c-6)(c+10)<BR>\n" );
document.write( "1800=1800+18000/c-6c-60<BR>\n" );
document.write( "-18000/c+60=-6c now multiply every term by c to eliminate the c in the denominator<BR>\n" );
document.write( "-18000+60c=-6c^2<BR>\n" );
document.write( "6c^2+60c-18000=0 divide all terms by 6<BR>\n" );
document.write( "c^2+10c-3000=0<BR>\n" );
document.write( "(c-50)(c+60)=0<BR>\n" );
document.write( "c=50 & c=-60 the original cost is $50 then there were 1800/50=36 contributors<BR>\n" );
document.write( "when 6 backed out there were 30 & they paid $60 each<BR>\n" );
document.write( "proof<BR>\n" );
document.write( "1800=30*60<BR>\n" );
document.write( "1800=1800<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );