document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=313664>Question 313664</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For a particular event, 812 tickets were sold for a total of $1912.  If students paid $2 per ticket and non-students paid $3 per ticket, how many student tickets were sold?\r<BR>\n" );
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document.write( "I am having a problem just setting up the initial equation.  I think I am over analyzing this problem.  <BR>\n" );
document.write( "I've tried 2t + 3t = 812;  I have tried 2t + 3t = 1048\r<BR>\n" );
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document.write( "I've went on to the harder problems for my assignment and had no problem finding my solutions.  This is a stumper for me.<BR>\n" );
document.write( "Thank you in advance for your attention to my brain freeze.\r<BR>\n" );
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document.write( "Jennifer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #224263 by </B><A HREF=/tutors/aboutme.mpl?userid=texttutoring><B>texttutoring(324)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=texttutoring><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=texttutoring><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=224263\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Define your variables:\r<BR>\n" );
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document.write( "Let x=number of student tickets<BR>\n" );
document.write( "Let y = number of non-student tickets\r<BR>\n" );
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document.write( "There are two unknowns, so you need two equations.\r<BR>\n" );
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document.write( "Equation 1: x+y=812<BR>\n" );
document.write( "Equation 2: 2x + 3y = 1912\r<BR>\n" );
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document.write( "Isolate for x or y in Equation 1, and substitute it into Equation 2:\r<BR>\n" );
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document.write( "y=812-x\r<BR>\n" );
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document.write( "2x +3(812-x)=1912<BR>\n" );
document.write( "2x +2436 - 3x = 1912<BR>\n" );
document.write( "-x = -524<BR>\n" );
document.write( "x = 524\r<BR>\n" );
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document.write( "You can then use equation 1 or 2 to find y.\r<BR>\n" );
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document.write( "812-x = y<BR>\n" );
document.write( "812-524 = y \r<BR>\n" );
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document.write( "y =288\r<BR>\n" );
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document.write( "There were 524 student tickets sold, and 288 non-student tickets. </SPAN>\n" );
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