document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=550932>Question 550932</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A concert sells out a 20,000 seat arena. Main seat tickets cost $55, and back seat tickets for $45. The concert made $955,000. How many main seat tickets and back seat 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 #359245 by </B><A HREF=/tutors/aboutme.mpl?userid=TutorDelphia><B>TutorDelphia(193)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TutorDelphia><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=TutorDelphia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=359245\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We know the total seats which are made up of main and back seats equals 20,000:<BR>\n" );
document.write( "m+b=20,000\r<BR>\n" );
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document.write( "We know the earnings were 55 for every main and 45 for every back:<BR>\n" );
document.write( "55*m+45*b=955,000\r<BR>\n" );
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document.write( "We now have a system of equations to solve. Lets multiply both sides of the first equation by 45\r<BR>\n" );
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document.write( "Now subtract :<BR>\n" );
document.write( "45m+45b=900,000 from <BR>\n" );
document.write( "55*m+45*b=955,000\r<BR>\n" );
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document.write( "That gives us <BR>\n" );
document.write( "10m=55,000<BR>\n" );
document.write( "so<BR>\n" );
document.write( "m=5,500<BR>\n" );
document.write( "And if we sub m back into our first equation we find that<BR>\n" );
document.write( "b=14,500 </SPAN>\n" );
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