document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1115267>Question 1115267</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Family Arts Center charges $22 for adults, $17 for senior citizens, and $8 for children<BR>\n" );
document.write( "under 12 for their live performances on Sunday afternoon. This past Sunday, the paid<BR>\n" );
document.write( "revenue was $12,980 for 856 tickets sold. There were 44 more children than adults. How<BR>\n" );
document.write( "many children attended? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #730164 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=730164\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( " $22 for adults,  numbers be x<BR>\n" );
document.write( " $17 for senior citizens, numbers be y<BR>\n" );
document.write( " and $8 for children under 12 x+44<BR>\n" );
document.write( "Total attendance<BR>\n" );
document.write( "x+y+(x+44) =856<BR>\n" );
document.write( "2x+y = 812....................(1)\r<BR>\n" );
document.write( "\n" );
document.write( "the paid revenue was $12,980 <BR>\n" );
document.write( "22x+17y+(x+44)*8 = 12980<BR>\n" );
document.write( "22x+17y+8x+352=12980<BR>\n" );
document.write( "30x+17y=12628.................(2)\r<BR>\n" );
document.write( "\n" );
document.write( "										<BR>\n" );
document.write( "2	x	+	1	y	=	812	.............1			<BR>\n" );
document.write( "										<BR>\n" );
document.write( "										<BR>\n" );
document.write( "30	x	+	17	y	=	12628	.............2			<BR>\n" );
document.write( "Eliminate 	y									<BR>\n" );
document.write( "multiply (1)by		17								<BR>\n" );
document.write( "Multiply (2) by		-1								<BR>\n" );
document.write( "34	x		17	y	=	13804				<BR>\n" );
document.write( "-30	x		-17	y	=	-12628				<BR>\n" );
document.write( "Add the two equations										<BR>\n" );
document.write( "4	x				=	1176				<BR>\n" );
document.write( "/	4									<BR>\n" );
document.write( "x	=	294								<BR>\n" );
document.write( "plug value of			x	in (1)						<BR>\n" );
document.write( "2	x	+	1	y	=	812				<BR>\n" );
document.write( "588		+	1	y	=	812				<BR>\n" );
document.write( "			1	y	=	224				<BR>\n" );
document.write( "				y	=	224				<BR>\n" );
document.write( "Ans	x	=	294							<BR>\n" );
document.write( "	y	=	224							<BR>\n" );
document.write( "	294	adults								<BR>\n" );
document.write( "	224	senior citizens	<BR>\n" );
document.write( "        (294+44) children							\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );