document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=136863>Question 136863</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PROBLEM:<BR>\n" );
document.write( "THE FORREST THEATER CAN SEAT A TOTAL OF 360 PEOPLE. THEY TAKE IN $15,150 WHEN EVERY SEAT IS SOLD FOR A PERFORMANCE. IF THE ORCHESTRA SECTION TICKETS COST $45 AND THE BALCONY TICKETS COST $35, FIND THE NUMBER OF SEATS IN AVAILABLE IN EACH SECTION.\r<BR>\n" );
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document.write( "PLEASE HELP I DON'T EVEN KNOW WHERE TO BEGIN??? THANKS </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100168 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=100168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=number of seats in the orchestra section<BR>\n" );
document.write( "And y=number of seats in the balcony section\r<BR>\n" );
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document.write( "Now we are told the following:\r<BR>\n" );
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document.write( "x+y=360-----------------------------------------------eq1<BR>\n" );
document.write( "and ($ understood)<BR>\n" );
document.write( "45x+35y=15,150-----------------------------------------eq2<BR>\n" );
document.write( "eq2 reduces to (divide each term by 5):<BR>\n" );
document.write( "9x+7y=3030-------------------------------------------------eq2a<BR>\n" );
document.write( "from eq1, we see that x=360-y, substitute this into eq2a:\r<BR>\n" );
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document.write( "9(360-y)+7y=3030 get rid of parens<BR>\n" );
document.write( "3240-9y+7y=3030  subtract 3240 from each side\r<BR>\n" );
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document.write( "3240-3240-9y+7y=3030-3240 collect like terms\r<BR>\n" );
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document.write( "-2y=-210 divide both sides by -2<BR>\n" );
document.write( "y=105------------------------------------number of seats in the Balcony sect.\r<BR>\n" );
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document.write( "Substitute y=105 into eq1:\r<BR>\n" );
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document.write( "x+105=360  subtract 105 from each side\r<BR>\n" );
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document.write( "x=255------------------------number of orchestra seats\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "105+255=360<BR>\n" );
document.write( "360=360\r<BR>\n" );
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document.write( "and<BR>\n" );
document.write( "45*255+35*105=15,150<BR>\n" );
document.write( "11,475+3,675=15,150\r<BR>\n" );
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document.write( "15,150=15,150\r<BR>\n" );
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document.write( "Hope this helps----ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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