document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1001637>Question 1001637</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me and show steps. I have did this question 10 times and still comes up with the wrong answers. Thanks\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? \r<BR>\n" );
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document.write( "These are the answers I got.<BR>\n" );
document.write( "children 144<BR>\n" );
document.write( "students 120<BR>\n" );
document.write( "adults  69 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #618738 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=618738\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The seating capacity but no given total number of attendees suggests this includes an inequality.\r<BR>\n" );
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document.write( "c children, s students, a adults;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=c%2F2 ALIGN=MIDDLE  ALT=\"a=c%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >----Half as many adults as children;\r<BR>\n" );
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document.write( "Account for ticket sales:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5c%2B7s%2B12a=2422 ALIGN=MIDDLE  ALT=\"5c%2B7s%2B12a=2422\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and then sub for a:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5c%2B7s%2B12%28c%2F2%29=2422 ALIGN=MIDDLE  ALT=\"5c%2B7s%2B12%28c%2F2%29=2422\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5c%2B7s%2B6c=2422 ALIGN=MIDDLE  ALT=\"5c%2B7s%2B6c=2422\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2811c%2B7s=2422%29 ALIGN=MIDDLE  ALT=\"highlight_green%2811c%2B7s=2422%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Account for seating capacity:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2Bs%2Ba%3C=333 ALIGN=MIDDLE  ALT=\"c%2Bs%2Ba%3C=333\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and subst for a:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2Bs%2Bc%2F2%3C=333 ALIGN=MIDDLE  ALT=\"c%2Bs%2Bc%2F2%3C=333\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%283%2F2%29c%2Bs%3C=333%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%283%2F2%29c%2Bs%3C=333%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You have two algebraic statements in the unknown variables c and s.  You COULD be looking for a solution for c, s, a, which is an inequality, or a set of combinations of these variables.  You might simply try to use both statements as equations assuming capacity was full.\r<BR>\n" );
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document.write( "Maybe work with ticket sales equation this way:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7s=-11c%2B2422 ALIGN=MIDDLE  ALT=\"7s=-11c%2B2422\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=-%2811%2F7%29c%2B346 ALIGN=MIDDLE  ALT=\"s=-%2811%2F7%29c%2B346\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "Now you MIGHT want to try to graph this system of statements and look for the whole number solution values for s and c:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28%283%2F2%29c%2Bs%3C=333%2Cs=-%2811%2F7%29c%2B346%29 ALIGN=MIDDLE  ALT=\"system%28%283%2F2%29c%2Bs%3C=333%2Cs=-%2811%2F7%29c%2B346%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "My guess, without having tried fully yet, is that your desired  points  (c,s) might be ON the line; maybe, just maybe, the intersection might work, but ...? \r<BR>\n" );
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document.write( "You would want a solution which is ON THE line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=-%2811%2F7%29c%2B346 ALIGN=MIDDLE  ALT=\"s=-%2811%2F7%29c%2B346\"   DISABLED_style= \"max-width:90%; height:auto;\" >  in order to be consistent with ticket sales. </SPAN>\n" );
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