document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153024>Question 153024</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Fundraising. The St. Mark’s Community Barbecue served 250 dinners. A child’s plate cost $3.50 and an adult’s plate cost $7.00. A total of $1347.50 was collected. How many of each type of plate was served?\r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112520 by </B><A HREF=/tutors/aboutme.mpl?userid=orca><B>orca(409)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=orca><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=112520\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the number of children.<BR>\n" );
document.write( "Let y be the number of adults.<BR>\n" );
document.write( "As the total number of dinners is 250, we have:<BR>\n" );
document.write( "x + y = 250 ...................(1)<BR>\n" );
document.write( "The amount of money from children: 3.5x<BR>\n" );
document.write( "The amount of money from adults: 7y.<BR>\n" );
document.write( "As the total is 1347.5,we have:<BR>\n" );
document.write( "3.5x + 7y = 1347.5 ............(2)<BR>\n" );
document.write( "Solving equations (1) and (2) simultaneously, we obtain:<BR>\n" );
document.write( "x = 115<BR>\n" );
document.write( "y = 135<BR>\n" );
document.write( "So the numbers of children and adults are 115 and 135 respectively.<BR>\n" );
document.write( "***************************************************************************<BR>\n" );
document.write( "How to solve<BR>\n" );
document.write( "x + y = 250 .................(1)<BR>\n" );
document.write( "3.5x + 7y = 1347.5...........(2)<BR>\n" );
document.write( "From (1), we get x = 250 - y. Substitute it into equation (2), we obtain:<BR>\n" );
document.write( "3.5(250 - y) + 7y = 1347.5<BR>\n" );
document.write( "875 - 3.5y + 7y = 1347.5<BR>\n" );
document.write( "875 + 3.5y = 1347.5<BR>\n" );
document.write( "3.5y = 472.5<BR>\n" );
document.write( "y = 135<BR>\n" );
document.write( "x= 250 - y = 115\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );