document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197568>Question 1197568</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ticket prices at an outdoor theater  performance are $2.50 for children and $5.00 for adults. One evening, $6700 is collected  from 1900 people attending. How many children and how many adults attend? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #830876 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3816)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=830876\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "c = number of children<BR>\n" );
document.write( "1900-c = number of adults<BR>\n" );
document.write( "Those two quantities add to 1900 total people.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2.50c = revenue from just the children only<BR>\n" );
document.write( "5(1900-c) = 9500-5c = revenue from the adults only<BR>\n" );
document.write( "2.50c+9500-5c = -2.50c+9500 = total revenue\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-2.50c+9500 = 6700<BR>\n" );
document.write( "-2.50c = 6700-9500<BR>\n" );
document.write( "-2.50c = -2800<BR>\n" );
document.write( "c = -2800/(-2.50)<BR>\n" );
document.write( "c = 1120 is the number of children<BR>\n" );
document.write( "which leads to<BR>\n" );
document.write( "1900-c = 1900-1120 = 780 is the number of adults\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "---------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Check:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1120 children = 2.50*1120 = 2800 dollars in revenue<BR>\n" );
document.write( "780 adults = 5*780 = 3900 dollars in revenue<BR>\n" );
document.write( "2800+3900 = 6700 dollars total revenue<BR>\n" );
document.write( "The revenue portion is confirmed.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The population count can be confirmed like this<BR>\n" );
document.write( "1120 children + 780 adults = 1900 total people\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Both key aspects (revenue and population) are confirmed.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "---------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Answers: <BR>\n" );
document.write( "<font color=red>1120 children and 780 adults</font><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );