document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=505956>Question 505956</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tickets for a school play sell for $8 for floor seats and $6 for<BR>\n" );
document.write( "balcony seats. For one performance 72 tickets are sold, bringing in $516.<BR>\n" );
document.write( "How many of each ticket are sold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #340051 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=340051\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let<BR>\n" );
document.write( "Floor seats = f<BR>\n" );
document.write( "Cost of 8 tickets = 8*f = 8f<BR>\n" );
document.write( "Balcony seats = b <BR>\n" );
document.write( "Cost of 6 Balcony seats = b = 6*b = 6b\r<BR>\n" );
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document.write( "Given\r<BR>\n" );
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document.write( "Floor seats + Balcony seats = Total tickets sold<BR>\n" );
document.write( "f + b = 72<BR>\n" );
document.write( "f=72-b ...............(1) \r<BR>\n" );
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document.write( "Amount of tickets sold = Cost of 8 tickets + Cost of 6 Balcony seats<BR>\n" );
document.write( "516=8f+6b ...........(2)<BR>\n" );
document.write( "Put the value of f from (1) to (2)<BR>\n" );
document.write( "516=8(72-b)+6b<BR>\n" );
document.write( "516=576-8b+6b<BR>\n" );
document.write( "516-576=-2b<BR>\n" );
document.write( "-30=-2b<BR>\n" );
document.write( "Divide by (-2) both sides of the equation<BR>\n" );
document.write( "-30/-2=-2b/-2<BR>\n" );
document.write( "30=b<BR>\n" );
document.write( "b=30\r<BR>\n" );
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document.write( "Put the value of b in (1)<BR>\n" );
document.write( "f=72-b ...............(1) <BR>\n" );
document.write( "f=72-30<BR>\n" );
document.write( "f=42\r<BR>\n" );
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document.write( "Floor seats tickets = f = 8<BR>\n" );
document.write( "Cost of 8 tickets = 8*f = 8f = 8*42 = $336<BR>\n" );
document.write( "Balcony seats tickets = 30 <BR>\n" );
document.write( "Cost of 6 Balcony seats = b = 6*b = 6b=6*30=$180<BR>\n" );
document.write( "Amount of tickets sold = Cost of 8 tickets + Cost of 6 Balcony seats<BR>\n" );
document.write( "516=336+180<BR>\n" );
document.write( "516=516\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );