document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252699>Question 252699</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A caterer charges a fixed cost for preparing dinner plus an additional cost for each person served. You know the cost for 100 students will be $750 and the cost for 150 students will be $1050. Find the caterer's fixed cost and the cost per student served. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184735 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=184735\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 100 at 750<BR>\n" );
document.write( "150 at 1050<BR>\n" );
document.write( "so the last 50 cost 300<BR>\n" );
document.write( "300/50=6 dollars each<BR>\n" );
document.write( "100*6=600<BR>\n" );
document.write( "750-600=150<BR>\n" );
document.write( "so the caterer charges 150 plus 6 dollars per person<BR>\n" );
document.write( "check<BR>\n" );
document.write( "150+150*6=50+1000\r<BR>\n" );
document.write( "\n" );
document.write( "x+100y=750<BR>\n" );
document.write( "x+150y=1050<BR>\n" );
document.write( "subtract second from first<BR>\n" );
document.write( "50y=300<BR>\n" );
document.write( "y=6<BR>\n" );
document.write( "x+6*100=750<BR>\n" );
document.write( "x=150\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );