document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151000>Question 151000</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A basketball fieldhouse seats 15,000. Courtside seats sell for $ 9, endzone for $7, and balcony for $4. The total revenue from a sell-out is $81,000. If half the courtside and balcony seats and all the endzone seats are sold, the total revenue is $47,500. How many of each type are there? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111038 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=111038\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A basketball fieldhouse seats 15,000. Courtside seats sell for $ 9, endzone for $7, and balcony for $4. The total revenue from a sell-out is $81,000. If half the courtside and balcony seats and all the endzone seats are sold, the total revenue is $47,500. How many of each type are there?<BR>\n" );
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document.write( "c = no. of courtside seats<BR>\n" );
document.write( "e = no. of endzone seats<BR>\n" );
document.write( "b = no. of balcony seats<BR>\n" );
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document.write( "Write a total seats equation:<BR>\n" );
document.write( "c + e + b = 15000<BR>\n" );
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document.write( "Write an equation reflecting a sell-out:<BR>\n" );
document.write( "9c + 7e + 4b = 81000<BR>\n" );
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document.write( "Write an equation for the statement:<BR>\n" );
document.write( "\"If half the courtside and balcony seats and all the endzone seats are sold, the total revenue is $47,500.\"<BR>\n" );
document.write( "9(.5c) + 7e + 4(.5b) = 47500<BR>\n" );
document.write( "which is:<BR>\n" );
document.write( "4.5c + 7e + 2b = 47500<BR>\n" );
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document.write( "Using the above equation with the sell-out equation, eliminates e\"<BR>\n" );
document.write( " 9c + 7e + 4b = 81000<BR>\n" );
document.write( "4.5c+ 7e + 2b = 47500<BR>\n" );
document.write( "-----------------------subtraction eliminates e:<BR>\n" );
document.write( "4.5c + 2b = 33500<BR>\n" );
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document.write( "Multiply the total seats equation by 7 and subtract from the sellout equation<BR>\n" );
document.write( "9c + 7e + 4b =  81000<BR>\n" );
document.write( "7c + 7e + 7b = 105000<BR>\n" );
document.write( "----------------------- subtraction eliminates e<BR>\n" );
document.write( "2c - 3b = -24000<BR>\n" );
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document.write( "Two equations, two unknowns, we should be able to handle this now<BR>\n" );
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document.write( "Multiply the 1st one by 3, and the 2nd one by 2; resulting in:<BR>\n" );
document.write( "13.5c + 6b = 100500<BR>\n" );
document.write( " 4c   - 6b = -48000<BR>\n" );
document.write( "---------------------- addition eliminates b<BR>\n" );
document.write( "17.5c = 52500<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=52500%2F17.5 ALIGN=MIDDLE  ALT=\"52500%2F17.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c = 3000 courtside seats<BR>\n" );
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document.write( "Find b using; 4.5c + 2b = 33500<BR>\n" );
document.write( "4.5(3000) + 2b = 33500<BR>\n" );
document.write( "13500 + 2b = 33500<BR>\n" );
document.write( "2b = 33500 - 13500<BR>\n" );
document.write( "2b = 20000<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20000%2F2 ALIGN=MIDDLE  ALT=\"20000%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = 10000 balcony seats<BR>\n" );
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document.write( "I'll let you find the number of endzone seats<BR>\n" );
document.write( " </SPAN>\n" );
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