document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1001677>Question 1001677</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this problem and show all work. The tutor that did the problem confused me even more.\r<BR>\n" );
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document.write( "A movie theater has a seating capacity of 333. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2422, How many children, students, and adults attended? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #618755 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=618755\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "C=number of children; S=number of students; A=number of adults<BR>\n" );
document.write( "C=2A (half as many A's as C's)<BR>\n" );
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document.write( "C+S+A=333 . (Number of tickets=number of seats)<BR>\n" );
document.write( "2A+S+A=333 . (This substitutes C=2A from above)<BR>\n" );
document.write( "3A+S=333<BR>\n" );
document.write( "S=333-3A (Use this to sub for S below)<BR>\n" );
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document.write( "$5C+$7S+$12A=$2422$5C+$7S+$12A=$2422(This converts number of tickets to dollars)<BR>\n" );
document.write( "$5(2A)+$7S+$12A=$2422 (Substitute C=2A again)<BR>\n" );
document.write( "$10A+$7(333-3A)+$12A=$2422 (Sub for S from above)<BR>\n" );
document.write( "$10A+$2331-$21A+$12A=$2422<BR>\n" );
document.write( "A=111<BR>\n" );
document.write( "ANSWER 1: There were 111 adults.<BR>\n" );
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document.write( "S=333-3A=333-3(111)=333-333=0<BR>\n" );
document.write( "ANSWER 2: There were no students.<BR>\n" );
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document.write( "C=2A=2(111)=222<BR>\n" );
document.write( "ANSWER 3: There were 222 children.<BR>\n" );
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document.write( "CHECK:<BR>\n" );
document.write( "C+S+A=333<BR>\n" );
document.write( "222+0+111=333<BR>\n" );
document.write( "333=333<BR>\n" );
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document.write( "$5C+$7S+$12A=$2422<BR>\n" );
document.write( "$5(222)+$7(0)+$12(111)=$2422<BR>\n" );
document.write( "$1110+$0+$1332=$2422<BR>\n" );
document.write( "$2442=$2442\r<BR>\n" );
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document.write( "Hope this helps . Ask if you need more clarification.<BR>\n" );
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