document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=276777>Question 276777</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An entertainment promotor for a magic show must make $161,000 from ticket sales in order to cover the cost and make a reasonable profit. The auditorium has 3000 seats with 1800 seats on the lower floor and 1200 balcony seats. Attendes will pay $20 more for the lower floor seats than for the balcony seats.\r<BR>\n" );
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document.write( "Write a system of equations with F for the floor seats ticket price and B for the balcony seat ticket price.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #201697 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=201697\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> show must make $161,000 from ticket sales in order to cover the cost and make a reasonable profit.<BR>\n" );
document.write( " The auditorium has 3000 seats with 1800 seats on the lower floor and 1200 balcony seats.<BR>\n" );
document.write( " Attendees will pay $20 more for the lower floor seats than for the balcony seats.<BR>\n" );
document.write( "Write a system of equations with F for the floor seats ticket price and B for the balcony seat ticket price. <BR>\n" );
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document.write( "Let b = balcony price<BR>\n" );
document.write( "and<BR>\n" );
document.write( "f = lower floor price<BR>\n" );
document.write( "f = (b+20) also<BR>\n" );
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document.write( "Total revenue equation<BR>\n" );
document.write( "1200b + 1800f = 161000<BR>\n" );
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document.write( "Simplify, divide by 100<BR>\n" );
document.write( "12b + 18f = 1610<BR>\n" );
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document.write( "Replace f with (b+20), find b<BR>\n" );
document.write( "12b + 18(b+20) = 1610<BR>\n" );
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document.write( "12b + 18b + 360 = 1610<BR>\n" );
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document.write( "30b = 1610 - 360<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1250%2F30 ALIGN=MIDDLE  ALT=\"1250%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = $41.67 for balcony seat<BR>\n" );
document.write( "and<BR>\n" );
document.write( "41.67 + 20 = $61.67 for lower floor<BR>\n" );
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document.write( "Check solution by finding the actual revenue<BR>\n" );
document.write( "1200(41.67) + 1800(61.67) = <BR>\n" );
document.write( "50004 + 111006 = $161,010.00 (an extra $10 from rounding up the cents)<BR>\n" );
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