document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61282>Question 61282</A>: <I><SPAN STYLE=\"word-break: break-all;\"> We were told to solve the word problems.  We were on Linear Equations and finding the slopes when he passed out these word problems.  This is what the word problems says :  The Forrest Theater can seat a total of 360 people.  They take in $15,150 when every seat is sold.  If orchestra section tickets cost $45 and balcony tickets cost $35, find the number of seats in the orchestra section and the number of seats in the balcony.\r<BR>\n" );
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document.write( "Thank you very much for your time and effort it is very much appreciated.  I tend to struggle with word problems.  It gets scrambled in my head and I just don't understand what I am supposed to do.  Thanks again I am looking forward to the explanation and answer on how this problem is solved. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42164 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=42164\">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( "Then 360-x=number of seats in the balcony section\r<BR>\n" );
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document.write( "Now we know that the amt of $taken in by selling all the orchestra seats (x)($45) plus the amt of $ taken in by selling all the balcony seats (360-x)($35)has to equal total amt taken in ($15,150) when all seats are sold.  Thus, our equation to solve is:\r<BR>\n" );
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document.write( "45x+(360-x)(35)=15150 simplifying, we get:<BR>\n" );
document.write( "45x-35x=15150-12600 or<BR>\n" );
document.write( "10x=2550<BR>\n" );
document.write( "x=255 seats in the orchestra section<BR>\n" );
document.write( "360-x=360-255=105 seats in the balcony section\r<BR>\n" );
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document.write( "Hope this helps----ptaylor </SPAN>\n" );
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