document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=374026>Question 374026</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are in charge of a banquet for your family reunion.  The cost is $5.50 per children plate and $12.00 per adult plate.  The total number of people is 546.  The total bill for the food is $5115.50. Using a for adult plate and c for child plate, write an equation to represent the number of adults and children present. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #266226 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley79><B>checkley79(3341)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley79><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=266226\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5.50c+12.00a=$5,115.50<BR>\n" );
document.write( "a+c=546 or a=546-c<BR>\n" );
document.write( "5.50c+12.00(546-c)=5,115.50<BR>\n" );
document.write( "5.50c+6,552-12c=5,115.50<BR>\n" );
document.write( "-6.5c=5,115.50-6,552<BR>\n" );
document.write( "-6.5c=-,436.50<BR>\n" );
document.write( "c=-1,436.50/-6.5<BR>\n" );
document.write( "c=221 ans. for the number of children.<BR>\n" );
document.write( "a=546-21=325 ans. for the number of adults.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "5.50*221+12.00*325=5,115.50<BR>\n" );
document.write( "1,215.50+3,900=5,115.50<BR>\n" );
document.write( "5,115.50=5,155.50 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );