document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=159193>Question 159193</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0136007627/algebrahomeworkh>Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A Broadway theater was 500 seats, divided into orchestra, main, and balcony seating. Orchestra sells at $80, Main sells at $70, and Balcony sells at $40. If all seats are sold out, and the gross revenue to the theater is $30,900. If all the main and balcony are sold out, and only have the orchestra are sold, the gross revenue is $26,900. 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 #117319 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=117319\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A Broadway theater was 500 seats, divided into orchestra, main, and balcony <BR>\n" );
document.write( "Quantity Equation: r + m + b = 500<BR>\n" );
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document.write( "seating. Orchestra sells at $80, Main sells at $70, and Balcony sells at $40. If all seats are sold out, and the gross revenue to the theater is $30,900.<BR>\n" );
document.write( "Value Equation: 80r + 70m + 40b = 30,900<BR>\n" );
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document.write( "If all the main and balcony are sold out, and only half the orchestra are sold, the gross revenue is $26,900.<BR>\n" );
document.write( "Value equation: (1/2)80r + 70m + 40b = 26,900<BR>\n" );
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document.write( "How many are there of each kind of seat?<BR>\n" );
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document.write( "Rearrange the three equations and solve the system by any means to get:<BR>\n" );
document.write( "r = 100<BR>\n" );
document.write( "m = 230<BR>\n" );
document.write( "b = 170<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. \r<BR>\n" );
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document.write( " </SPAN>\n" );
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