document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154614>Question 1154614</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Broadway theater has 400 ​seats, divided into​ orchestra, main, and balcony seating.  Orchestra seats sell for $ 70 comma main seats for $ 60 comma and balcony seats for $ 35.  If all the seats are​ sold, the gross revenue to the theater is $ 21 comma 300.  If all the main and balcony seats are​ sold, but only half the orchestra seats are​ sold, the gross revenue is $ 18 comma 500. How many are there of each kind of​ seat? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #777103 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=777103\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The description would be best based on this:\r<BR>\n" );
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document.write( "Theater has 400 seats.<BR>\n" );
document.write( "Orchestra Seats,  $70 each;<BR>\n" );
document.write( "Main Seats, $60 each;<BR>\n" );
document.write( "Balcony Seats, $35 each;<BR>\n" );
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document.write( "Gross Revenue, $21300;\r<BR>\n" );
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document.write( "If ALL the Main and Balcony seats sold and only HALF the Orchestra seats sold, Gross Revenue would be  $18500.\r<BR>\n" );
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document.write( "r, Orchestra seats<BR>\n" );
document.write( "m, Main seats<BR>\n" );
document.write( "b, Balcony seats\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%2870r%2B60m%2B35b=21300%2C70%28r%2F2%29%2B60m%2B35b=18500%2Cr%2Bm%2Bb=400%29 ALIGN=MIDDLE  ALT=\"system%2870r%2B60m%2B35b=21300%2C70%28r%2F2%29%2B60m%2B35b=18500%2Cr%2Bm%2Bb=400%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Look at the first two equations, and see that both of them contain the expression, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60m%2B35b ALIGN=MIDDLE  ALT=\"60m%2B35b\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The value for r should be found very quickly because the description and resulting equations allows two variables to be easily eliminated.  Otherwise, solution methods may vary. </SPAN>\n" );
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