document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1169003>Question 1169003</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A play was attended by 456 people. Patron's tickets cost $2 and all other tickets cost $3. If the total box office receipts were $1131, how many of each ticket was sold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #793684 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=793684\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "You can solve this kind of problem quickly using logical reasoning and simple mental arithmetic, if a formal algebraic solution is not required.<br><BR>\n" );
document.write( "(1) If all 456 tickets were for patrons, the total cost would be $912, which is $219 less than the actual total.<BR>\n" );
document.write( "(2) Since each other ticket costs $1 more than a patron's ticket, the number of other tickets was 219.<BR>\n" );
document.write( "(3) And that means the number of patron's tickets sold was 456-219 = 237.<br><BR>\n" );
document.write( "ANSWERS: 237 Patron's tickets; 219 others<br><BR>\n" );
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