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 #485647 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=485647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let j = the group of friends, as a whole number for the $90/week from each person.  The rent for the house is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%2Aj ALIGN=MIDDLE  ALT=\"90%2Aj\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28dollars%2F%28person%2Aweek%29%29%2Apersons ALIGN=MIDDLE  ALT=\"%28dollars%2F%28person%2Aweek%29%29%2Apersons\"   DISABLED_style= \"max-width:90%; height:auto;\" >, units of dollars per week per person.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "THREE MORE PEOPLE?  <BR>\n" );
document.write( "(j+3) group of friends, expecting then $(90-15) per person for the rental.<BR>\n" );
document.write( "The house rent would be the same, but 75*(j+3) is now the rent expression for this increased quantity of friends.  Again, the house rent rate itself IS STILL THE SAME.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Find j, the number of people in the group.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90j=75%28j%2B3%29 ALIGN=MIDDLE  ALT=\"90j=75%28j%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2A2%2A5%2Aj=5%2A5%2A3%28j%2B3%29 ALIGN=MIDDLE  ALT=\"9%2A2%2A5%2Aj=5%2A5%2A3%28j%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A2j=5%28j%2B3%29 ALIGN=MIDDLE  ALT=\"3%2A2j=5%28j%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6j=5j%2B15 ALIGN=MIDDLE  ALT=\"6j=5j%2B15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j=15 ALIGN=MIDDLE  ALT=\"j=15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Rent rate for the house for the week:    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%2A15=highlight%281350%29 ALIGN=MIDDLE  ALT=\"90%2A15=highlight%281350%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > dollars </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );