document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203711>Question 1203711</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A movie theater has a seating capacity of 367. The theater charges $5.00 for children, $7.00 for students, and the $12.00 for adults. There are half as many adults as there are children if the total tickets sales was $2668, how many children, students, and adults attended? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #839498 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=839498\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  The theater charges $5.00 for children,<BR>\n" );
document.write( "Let there be x children \r<BR>\n" );
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document.write( " $7.00 for students, <BR>\n" );
document.write( "Let  there be y students\r<BR>\n" );
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document.write( "and the $12.00 for adults. <BR>\n" );
document.write( "Number of adults  will be x/2\r<BR>\n" );
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document.write( "A movie theater has a seating capacity of 367.<BR>\n" );
document.write( "x+x/2+y =367<BR>\n" );
document.write( "multip;y by LCD 2<BR>\n" );
document.write( "2x+x+2y = 734<BR>\n" );
document.write( "3x+2y = 734------------1\r<BR>\n" );
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document.write( "the total tickets sales was $2668\r<BR>\n" );
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document.write( "5x+7y+12*(x/2)=2668<BR>\n" );
document.write( "11x+7y = 2668-------------2\r<BR>\n" );
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document.write( "Multiply (!) by 11 and (2) by 3 and subtract\r<BR>\n" );
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document.write( "33x+22y=8074<BR>\n" );
document.write( "33x +21y = 8004\r<BR>\n" );
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document.write( "y = 70\r<BR>\n" );
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document.write( "Plug y =70 in (1)\r<BR>\n" );
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document.write( "3x+2y = 734<BR>\n" );
document.write( "3x+140 = 734<BR>\n" );
document.write( "3x = 734-140= 594 <BR>\n" );
document.write( "x = 198\r<BR>\n" );
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document.write( "x/2 = 99 (Adults)<BR>\n" );
document.write( "x = 198 (children)<BR>\n" );
document.write( "y= 70 (students)\r<BR>\n" );
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document.write( "Check\r<BR>\n" );
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document.write( "99*7+198*5+70*7=2668\r<BR>\n" );
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document.write( " </SPAN>\n" );
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