document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=622170>Question 622170</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tickets sold in advance for a play cost $3 each. Tickets sold at the door for the same play cost $5 each. If 100 tickets were sold for this play for a total of $460, how many were purchased at the door? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #391158 by </B><A HREF=/tutors/aboutme.mpl?userid=matineesuxxx><B>matineesuxxx(27)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=matineesuxxx><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=391158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x represent tickets sold at the door <BR>\n" );
document.write( "Let y represent tickets sold in advance<BR>\n" );
document.write( "therefore,<BR>\n" );
document.write( "5x + 3y = 460 ( this is the statement for total amount of money)\r<BR>\n" );
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document.write( "x + y = 100 ( this is the statement for number of tickets sold)\r<BR>\n" );
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document.write( "now use either equation to solve for y, it just happens that x + y = 100 is the easiest to do this with, <BR>\n" );
document.write( "this gives use the answer, \r<BR>\n" );
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document.write( "y = 100 - x\r<BR>\n" );
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document.write( "now plug this into our money equation and you get, \r<BR>\n" );
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document.write( "5x + 3(100-x) = 460\r<BR>\n" );
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document.write( " now simplify,\r<BR>\n" );
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document.write( "5x + 300 - 3x = 460<BR>\n" );
document.write( "2x = 160 <BR>\n" );
document.write( "x = 80\r<BR>\n" );
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document.write( "Therefore, 80 tickets were sold at the door. </SPAN>\n" );
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