document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4706>Question 4706</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Arnold Inn offers two plans for wedding parties.  Under plan A, the inn charges $30 for each person in attendance.  Under plan B, the inn charges $1300 plus $20 for each person in excess of the first 25 who attend.  For what size parties will plan B cost less?  (Assume that more than 25 guests will attend.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2431 by </B><A HREF=/tutors/aboutme.mpl?userid=Abbey><B>Abbey(339)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Abbey><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=2431\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the number of people attending = x\r<BR>\n" );
document.write( "\n" );
document.write( "Plan A cost is 25x ($25 for each person attending)<BR>\n" );
document.write( "Plan B cost is 1300 + 20x ($1300 plus $20 for each attending)\r<BR>\n" );
document.write( "\n" );
document.write( "Set up your inequality as:<BR>\n" );
document.write( "Plan B < Plan A<BR>\n" );
document.write( "1300+20x < 25x\r<BR>\n" );
document.write( "\n" );
document.write( "Subtract 20x from both sides:<BR>\n" );
document.write( "1300 < 5x\r<BR>\n" );
document.write( "\n" );
document.write( "Divide both sides by 5\r<BR>\n" );
document.write( "\n" );
document.write( "260 < x\r<BR>\n" );
document.write( "\n" );
document.write( "So any number of guest greater than 260 will make plan B less expensive. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );