document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1110078>Question 1110078</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that a theater sells matinee tickets for $7.00, while normal tickets are $12.50, and 3D tickets are $18.00. On a certain day, 8,526 people visited the theater and twice as many people bought matinee tickets or normal tickets as those who bought 3D tickets. A total of $105,304.50 in ticket sales was collected. Determine how many of each type of ticket was sold. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #725081 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=725081\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that a theater sells matinee tickets for $7.00, while normal tickets are $12.50, and 3D tickets are $18.00. On a certain day, 8,526 people visited the theater and twice as many people bought matinee tickets or normal tickets as those who bought 3D tickets. A total of $105,304.50 in ticket sales was collected. Determine how many of each type of ticket was sold. <BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "Value Eq:: 7m + 12.5n + 18D = 105,304.50 dollars<BR>\n" );
document.write( "Quantity Eq:: m + n + D = 8526<BR>\n" );
document.write( "Quantity Eq:: m+n = 2D<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Substitute::<BR>\n" );
document.write( "2D+D = 8526<BR>\n" );
document.write( "D = 2842<BR>\n" );
document.write( "------<BR>\n" );
document.write( "7m + 12.5n = 105,304.5-18*2842<BR>\n" );
document.write( "m + n = 8526-2842<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "7m + 12.5n = 54148.5<BR>\n" );
document.write( "7m + 7n = 7*5684<BR>\n" );
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document.write( "5.5n = 14360.5<BR>\n" );
document.write( "n = 2611 tickets<BR>\n" );
document.write( "----<BR>\n" );
document.write( "m = 8526-2842-2611 = 3073<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------ </SPAN>\n" );
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