document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=523626>Question 523626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Formulate a system of equations for the situation below and solve. <BR>\n" );
document.write( "A theater has a seating capacity of 732 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 children and students combined. The receipts totaled $4540. 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 #347555 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=347555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A theater has a seating capacity of 732 and charges $4 for children, $6 for students, and $8 for adults.<BR>\n" );
document.write( " At a certain screening with full attendance, there were half as many adults as children and students combined.<BR>\n" );
document.write( " The receipts totaled $4540. How many children attended the show?<BR>\n" );
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document.write( "Let c = no. of children<BR>\n" );
document.write( "Let s = no. of students<BR>\n" );
document.write( "Let a = no. of adults<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"A theater has a seating capacity of 732\"<BR>\n" );
document.write( "c + s + a = 732<BR>\n" );
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document.write( "\"charges $4 for children, $6 for students, and $8 for adults.  The receipts totaled $4540\"<BR>\n" );
document.write( "4c + 6s + 8a = 4540<BR>\n" );
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document.write( "\"there were half as many adults as children and students combined.\"<BR>\n" );
document.write( "a = .5(c+s)<BR>\n" );
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document.write( "In the 1st equation, replace a with .5(c+s)<BR>\n" );
document.write( "c + s + .5(c+s) = 732<BR>\n" );
document.write( "c + s + .5c + .5s = 732<BR>\n" );
document.write( "1.5c + 1.5s = 732<BR>\n" );
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document.write( "Do the same in the 2nd equation<BR>\n" );
document.write( "4c + 6s + 8(.5(c+s)) = 4540<BR>\n" );
document.write( "4c + 6s + 4c + 4s = 4540<BR>\n" );
document.write( "8c + 10s = 4540<BR>\n" );
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document.write( "Multiply the 1st equation by 20, the above equation by 3<BR>\n" );
document.write( "30c + 30s = 14640<BR>\n" );
document.write( "24c + 30s = 13620<BR>\n" );
document.write( "-------------------subtraction eliminates s, find c:<BR>\n" );
document.write( "6c = 1020<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1020%2F6 ALIGN=MIDDLE  ALT=\"1020%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c = 170 children went to the performance </SPAN>\n" );
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