document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1044289>Question 1044289</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The manager of a theater wants to know whether the majority of its patrons are adults or children. One&#8203; day, 5300<BR>\n" );
document.write( " <BR>\n" );
document.write( "tickets were sold and the receipts totaled &#8203;$40 comma 981<BR>\n" );
document.write( ". <BR>\n" );
document.write( "The adult admission is &#8203;$9.50<BR>\n" );
document.write( "&#8203;, <BR>\n" );
document.write( "and the&#8203; children's admission is &#8203;$6.50<BR>\n" );
document.write( ". <BR>\n" );
document.write( "How many adult patrons were&#8203; there?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #659568 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=659568\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The manager of a theater wants to know whether the majority of its patrons are adults or children.\r<BR>\n" );
document.write( "\n" );
document.write( ":<BR>\n" );
document.write( "let a = the no. of adults<BR>\n" );
document.write( "let c = no. of children<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write an equation for each statement<BR>\n" );
document.write( ":<BR>\n" );
document.write( "One&#8203; day, 5300 tickets were sold <BR>\n" );
document.write( "a + c = 5300<BR>\n" );
document.write( "c = (5300-a); use this form for substitution<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The adult admission is &#8203;$9.50 and the&#8203; children's admission is &#8203;$6.50<BR>\n" );
document.write( " the receipts totaled &#8203;$40,981<BR>\n" );
document.write( "9.50a + 6.50c = 40981<BR>\n" );
document.write( "Replace c with (5300-a)<BR>\n" );
document.write( "9.5a + 6.5(5300-a) = 40981<BR>\n" );
document.write( "9.5a + 34450 - 6.5a = 40981<BR>\n" );
document.write( "9.5a - 6.5a = 40981 - 34450<BR>\n" );
document.write( "3a = 6531<BR>\n" );
document.write( "a = 6531\3<BR>\n" );
document.write( "a = 2177 adults<BR>\n" );
document.write( ".<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Confirm this solution; find the number of children<BR>\n" );
document.write( "5300 - 2177 = 3123 children<BR>\n" );
document.write( "Find the total receipts<BR>\n" );
document.write( "9.5(2177) = 20681.50<BR>\n" );
document.write( "6.5(3123) = 20299.50<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "total rec'd: $40.981.00<BR>\n" );
document.write( ".<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );