document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=339215>Question 339215</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a theater 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 wre half as many adults as children and students combined.  the receipts totaled $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 #243124 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=243124\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let number of children attending = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let number of students attending = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let number of adults attending = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "given:<BR>\n" );
document.write( "Receipts from children = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4c ALIGN=MIDDLE  ALT=\"4c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Receipts from students = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6s ALIGN=MIDDLE  ALT=\"6s\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Receipts from adults = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8a ALIGN=MIDDLE  ALT=\"8a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4c+%2B+6s+%2B+8a+=+5600 ALIGN=MIDDLE  ALT=\"4c+%2B+6s+%2B+8a+=+5600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There was full attendance, so<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+%2B+s+%2B+a+=+900 ALIGN=MIDDLE  ALT=\"c+%2B+s+%2B+a+=+900\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+%281%2F2%29%2A%28c+%2B+s%29 ALIGN=MIDDLE  ALT=\"a+=+%281%2F2%29%2A%28c+%2B+s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "There are 3 equations and 3 unknowns, so<BR>\n" );
document.write( "it should be solvable<BR>\n" );
document.write( "From (3):<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+%281%2F2%29%2A%28c+%2B+s%29 ALIGN=MIDDLE  ALT=\"a+=+%281%2F2%29%2A%28c+%2B+s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+%2B+s+=+2a ALIGN=MIDDLE  ALT=\"c+%2B+s+=+2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now substitute into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a+%2B+a+=+900 ALIGN=MIDDLE  ALT=\"2a+%2B+a+=+900\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3a+=+900 ALIGN=MIDDLE  ALT=\"3a+=+900\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+300 ALIGN=MIDDLE  ALT=\"a+=+300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From (1):<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4c+%2B+6s+%2B+8%2A300+=+5600 ALIGN=MIDDLE  ALT=\"4c+%2B+6s+%2B+8%2A300+=+5600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4c+%2B+6s+=+3200 ALIGN=MIDDLE  ALT=\"4c+%2B+6s+=+3200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From above,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+%2B+s+=+600 ALIGN=MIDDLE  ALT=\"c+%2B+s+=+600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6c+%2B+6s+=+3600 ALIGN=MIDDLE  ALT=\"6c+%2B+6s+=+3600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And by subtraction:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6c+%2B+6s+=+3600 ALIGN=MIDDLE  ALT=\"6c+%2B+6s+=+3600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4c+-+6s+=+-3200 ALIGN=MIDDLE  ALT=\"-4c+-+6s+=+-3200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2c+=+400 ALIGN=MIDDLE  ALT=\"2c+=+400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+200 ALIGN=MIDDLE  ALT=\"c+=+200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+%2B+s+=+600 ALIGN=MIDDLE  ALT=\"c+%2B+s+=+600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200+%2B+s+=+600 ALIGN=MIDDLE  ALT=\"200+%2B+s+=+600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+400 ALIGN=MIDDLE  ALT=\"s+=+400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There were:<BR>\n" );
document.write( "200 children<BR>\n" );
document.write( "400 students<BR>\n" );
document.write( "300 adults<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4c+%2B+6s+%2B+8a+=+5600 ALIGN=MIDDLE  ALT=\"4c+%2B+6s+%2B+8a+=+5600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A200+%2B+6%2A400+%2B+8%2A300+=+5600 ALIGN=MIDDLE  ALT=\"4%2A200+%2B+6%2A400+%2B+8%2A300+=+5600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=800+%2B+2400+%2B+2400+=+5600 ALIGN=MIDDLE  ALT=\"800+%2B+2400+%2B+2400+=+5600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5600+=+5600 ALIGN=MIDDLE  ALT=\"5600+=+5600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );