document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=761150>Question 761150</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Theatre contains 500 seats and the ticket prices for the recent plays were $43 or adults and $28 or children. Total proceeds were $16,805. How many of each 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 #463057 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=463057\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Adults = x<BR>\n" );
document.write( "Children = y<BR>\n" );
document.write( "  x +  y = 500.........1<BR>\n" );
document.write( "43x + 28y = 16805......2<BR>\n" );
document.write( "Multiply (1) by 28<BR>\n" );
document.write( " 28x + 28y = 14000.....3<BR>\n" );
document.write( " 43x + 28y = 16805.....2<BR>\n" );
document.write( "Subtract (3) from (2)<BR>\n" );
document.write( " 15x       =  2805<BR>\n" );
document.write( "   x       = 187<BR>\n" );
document.write( "Substitute x = 187 into Eq (1)<BR>\n" );
document.write( "  x + y = 500<BR>\n" );
document.write( "187 + y = 500<BR>\n" );
document.write( "      y = 500 - 187<BR>\n" );
document.write( "      y = 313<BR>\n" );
document.write( "Therefore 187 Adult's tickets sold<BR>\n" );
document.write( "          313 Children's tickets sold<BR>\n" );
document.write( "Hope this helps.<BR>\n" );
document.write( ":-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );