document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1000083>Question 1000083</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A theatre has a seating capacity of 900 and charges 4$ for children, 6$ for students and 8$ for adults. At a certain screening with full attendance, there were half as many adults as students and children combined. The receipts total 5600$. How many children attended the show? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #617683 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=617683\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  <BR>\n" );
document.write( "let a no. of adults<BR>\n" );
document.write( "let c = no. of children<BR>\n" );
document.write( "let s = no. of students<BR>\n" );
document.write( ":<BR>\n" );
document.write( "write an equation for each statement<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A theatre has a seating capacity of 900<BR>\n" );
document.write( "a + c + s = 900<BR>\n" );
document.write( ":<BR>\n" );
document.write( " At a certain screening with full attendance, there were half as many adults as students and children combined.<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >(c + s)<BR>\n" );
document.write( "multiply both sides by 2<BR>\n" );
document.write( "2a = c + s <BR>\n" );
document.write( "2a - c - s = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The receipts total 5600$.(charges 4$ for children, 6$ for students and 8$ for adults.)<BR>\n" );
document.write( "8a + 4c + 6s = 5600<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use elimination here, <BR>\n" );
document.write( "a + c + s = 900<BR>\n" );
document.write( "2a - c - s = 0<BR>\n" );
document.write( "----------------------Adding eliminates c and s, find a<BR>\n" );
document.write( "3a = 900<BR>\n" );
document.write( "a = 900/3<BR>\n" );
document.write( "a = 300 adults<BR>\n" );
document.write( ":<BR>\n" );
document.write( "using the first equation<BR>\n" );
document.write( "300 + c + s = 900<BR>\n" );
document.write( "c + s = 900 - 300<BR>\n" );
document.write( "c + s = 600<BR>\n" );
document.write( "s = (600-c)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Replace a with 300 and s with (600-c) in the 3rd eq<BR>\n" );
document.write( "8(300) + 4c + 6(600-c) = 5600<BR>\n" );
document.write( "2400 + 4c + 3600 - 6c = 5600<BR>\n" );
document.write( "4c - 6c + 6000 = 5600<BR>\n" );
document.write( "-2c = 5600 - 6000<BR>\n" );
document.write( "-2c = -400<BR>\n" );
document.write( "c = -400/-2<BR>\n" );
document.write( "c = 200 children attended the show?  </SPAN>\n" );
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