document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=245899>Question 245899</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a movie theatre line, x people are behind Darsh, who is y places in front of Anil. If there are z people in front of Anil, how many people are in the line? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #179680 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=179680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A sketch of the line would help a lot!<BR>\n" );
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document.write( "Start of Line: __________ Anil __________ Darsh ___________:Front of line<BR>\n" );
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document.write( "The number of people from the start of the line to Darsh is said to be:  x<BR>\n" );
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document.write( "The number of people from Anil to Darsh is given:  y<BR>\n" );
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document.write( "The number of people from Anil to the front of the line is given as: z<BR>\n" );
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document.write( "So we can separate the line into 3 segments:<BR>\n" );
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document.write( "Start of line to Anil = x - y<BR>\n" );
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document.write( "From Anil to Darsh = y<BR>\n" );
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document.write( "From Darsh to Front of the line = z - y <BR>\n" );
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document.write( "So we add the three segments and get:  x-y + y + z-y = x + z - y<BR>\n" );
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document.write( "We can check with a concrete example.  Assume 10 people in the line behind Anil, 5 between Anil and Darsh, and 5 from Darsh to the front of the line.  So there are 22 people in the line:  10+5+5+Anil+Darsh.<BR>\n" );
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document.write( "||||||||| Anil ||||| Darsh |||||, where each vertical bar represents a person.<BR>\n" );
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document.write( "x = 10 + Anil + 5 = 16<BR>\n" );
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document.write( "From Anil to the front of the line is z:<BR>\n" );
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document.write( "z = 5 + Darsh + 5 = 11<BR>\n" );
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document.write( "We know that y = 5 because that is the number of people we put between Anil and Darsh in our setup.<BR>\n" );
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document.write( "So, we have  16 + 11 - 5 = 22, which is the number of people we know are in the line:  x + z - y. </SPAN>\n" );
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