document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147413>Question 147413</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A theater has 650 seats. After one sell-out performance, the theater made $11,600. If orchestra seats cost $20 each and balcony seats cost $12, how many orchestra and balcony seats are there in the theater? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107779 by </B><A HREF=/tutors/aboutme.mpl?userid=24HoursTutor.com><B>24HoursTutor.com(40)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=24HoursTutor.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=107779\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The total number of seats  = 650<BR>\n" );
document.write( "Let the number of orchestra seats be x<BR>\n" );
document.write( "Let the number of balcony seats be y<BR>\n" );
document.write( "So we can say that :<BR>\n" );
document.write( "No. of balcony seats + no. of orchestra seats = 650<BR>\n" );
document.write( "x+y = 650<BR>\n" );
document.write( "x = 650-y\r<BR>\n" );
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document.write( "Now, since each orchestra seat costs 20$ each the amount collected by selling such seats would be = no. of seats X amount per seat<BR>\n" );
document.write( "= x X 20<BR>\n" );
document.write( "=2ox\r<BR>\n" );
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document.write( "Similiarly, each balcony seat costs 12$ so the amount collected by selling such seats would be = no. of seats X amount per seat<BR>\n" );
document.write( "y x 12<BR>\n" );
document.write( "=12y\r<BR>\n" );
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document.write( "Now, we know that the total money collected = 11,600 $<BR>\n" );
document.write( "Therefore,<BR>\n" );
document.write( "money collected by balcony seats + money collected from orchestra seats = 11,600<BR>\n" );
document.write( "20x + 12y = 11,600<BR>\n" );
document.write( "we can substitute x with 650-y which we got above to get<BR>\n" );
document.write( "20(650-y) + 12y = 11600<BR>\n" );
document.write( "13000-20y+12y=11600<BR>\n" );
document.write( "-20y+12y=11600-13000<BR>\n" );
document.write( "-8y = -1400<BR>\n" );
document.write( "y= 1400/8<BR>\n" );
document.write( "y=175<BR>\n" );
document.write( "x=650-y=650-175=475\r<BR>\n" );
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document.write( "Ans.: The number of balcony seats = y = 175<BR>\n" );
document.write( "      The number of orchestra seats = x = 475<BR>\n" );
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document.write( " </SPAN>\n" );
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