document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=806043>Question 806043</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bill and a group of friends decided to rent a house in Aspen Colorado for a week of skiing. They each had to chip in $90 for the week lodging. If they had been able to convince three more people to go, the cost per person would have been reduced by $15. What was the rent for the house for the week? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #485644 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=485644\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the number of friends be x<BR>\n" );
document.write( "rent for week = 90x\r<BR>\n" );
document.write( "\n" );
document.write( "If 7 join <BR>\n" );
document.write( "they total x+7\r<BR>\n" );
document.write( "\n" );
document.write( "each has to pay \r<BR>\n" );
document.write( "\n" );
document.write( "90x/(x+7) = 75\r<BR>\n" );
document.write( "\n" );
document.write( "90x=75(x+7)\r<BR>\n" );
document.write( "\n" );
document.write( "90x=75x+525\r<BR>\n" );
document.write( "\n" );
document.write( "15x= 525<BR>\n" );
document.write( "/15<BR>\n" );
document.write( "x=35\r<BR>\n" );
document.write( "\n" );
document.write( "Rent = 35*90= 3150\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );