document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1102935>Question 1102935</A>: <I><SPAN STYLE=\"word-break: break-all;\">  The community theatre group  puts on a play last month.\r<BR>\n" );
document.write( "\n" );
document.write( " 20 more adults attended than  children \r<BR>\n" );
document.write( "\n" );
document.write( "adults tickets cost eight dollars each \r<BR>\n" );
document.write( "\n" );
document.write( " children's tickets cost three dollars each \r<BR>\n" );
document.write( "\n" );
document.write( "the theatre group collected $1260. how many adult tickets were sold?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #717652 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=717652\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "If you are studying algebra, then you should learn how to set up and solve the problem using formal mathematical methods, as demonstrated by the other tutor.<br><BR>\n" );
document.write( "But it is also useful mental exercise to be able to solve a problem like this using less formal methods.<br><BR>\n" );
document.write( "Here is how I would use logical reasoning to get a quick answer to the problem.<br><BR>\n" );
document.write( "(1) The \"extra\" 20 adult tickets cost $20*8=$160; that means the remaining tickets cost a total of $1100.<BR>\n" );
document.write( "(2) With the extra adult tickets accounted for, the remaining tickets are equal numbers of adult and children's tickets.<BR>\n" );
document.write( "(3) The cost of 1 adult and 1 children's ticket is $8+$3 = $11.<BR>\n" );
document.write( "(4) 1100/11 = 100; that means that, in addition to the 20 adult tickets already accounted for, 100 adult and 100 children's tickets were sold.<BR>\n" );
document.write( "(5) So all together there were 100 children's tickets and 100+20=120 adult tickets sold. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );