document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=698970>Question 698970</A>: <I><SPAN STYLE=\"word-break: break-all;\"> mr.santos treated his students to a movie for winning the state contest. this also required taking some of the students parents as chaperones. the movie theater charges 4 dollars for each student and 6 dollars for each adult. if mr.santos spent 180 dollars on movie tickets and took 40 people( including himself ), how many students and how many adults went to see the movie?\r<BR>\n" );
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document.write( "Need to write s system of equations for the word problem above and then solve three ways (graphing AND substitution AND elimination).   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #431140 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=431140\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x= 	number of student tickets							<BR>\n" );
document.write( "y=	number of adult tickets							<BR>\n" );
document.write( "Total  sold								<BR>\n" );
document.write( "4	x	+	6	y	=	180	.............1	<BR>\n" );
document.write( "								<BR>\n" );
document.write( "1	x	+	1	y	=	40	.............2	<BR>\n" );
document.write( "Eliminate	y							<BR>\n" );
document.write( "multiply (1)by		1						<BR>\n" );
document.write( "Multiply (2) by		-6						<BR>\n" );
document.write( "4	x		6	y	=	180		<BR>\n" );
document.write( "-6	x		-6	y	=	-240		<BR>\n" );
document.write( "Add the two equations								<BR>\n" );
document.write( "-2	x				=	-60		<BR>\n" );
document.write( "/	-2							<BR>\n" );
document.write( "x	=	30						<BR>\n" );
document.write( "plug value of			x	in (1)				<BR>\n" );
document.write( "4	x	+	6	y	=	180		<BR>\n" );
document.write( "120		+	6	y	=	180		<BR>\n" );
document.write( "			6	y	=	180		-120<BR>\n" );
document.write( "			6	y	=	60		<BR>\n" );
document.write( "				y	=	10		<BR>\n" );
document.write( "x=	30		number of student tickets					<BR>\n" );
document.write( "y=	10		number of adult tickets		\r<BR>\n" );
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document.write( "Substitution\r<BR>\n" );
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document.write( "1	x	+	1	y	=	40	.............1				<BR>\n" );
document.write( "1	y	=	40	+	-1	x					<BR>\n" );
document.write( "/	1	=									<BR>\n" );
document.write( "	y	=	40	+	-1	x					<BR>\n" );
document.write( "4	x	+	6	y	=	180		.....................2			<BR>\n" );
document.write( "Substitute y in		(2)									<BR>\n" );
document.write( "4	x	+	6	(	40	+	-1	x	)	=	180<BR>\n" );
document.write( "4	x	+	240	+	-6	x	=	180			<BR>\n" );
document.write( "4	x		-6	x	=	-60					<BR>\n" );
document.write( "-2	x	=	-60								<BR>\n" );
document.write( "/	-2										<BR>\n" );
document.write( "x=	30      										<BR>\n" );
document.write( "Plug the value of x in (1)											<BR>\n" );
document.write( "1	x	+	1	y	=	40					<BR>\n" );
document.write( "1	*	30      	+	1	y	=	40				<BR>\n" );
document.write( "30      	+	1	y	=	40						<BR>\n" );
document.write( "1	y	=	10      								<BR>\n" );
document.write( "/	1										<BR>\n" );
document.write( "y=	10      \r<BR>\n" );
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document.write( "x=	30		number of student tickets					<BR>\n" );
document.write( "y=	10		number of adult tickets		\r<BR>\n" );
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document.write( "Graph\r<BR>\n" );
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document.write( "1	x	+	1	y	=	40	.............1	<BR>\n" );
document.write( "4	x		6	y	=	180	.............2	<BR>\n" );
document.write( "Find the x & y intercept points by plugging x=0,y=0 in both equations.								<BR>\n" );
document.write( "equation I								<BR>\n" );
document.write( "when x=	0	y=	40	,(	0	,	40	)<BR>\n" );
document.write( "when y =	0	x=	40	,(	40	,	0	)<BR>\n" );
document.write( "Equation 2								<BR>\n" );
document.write( "when x=	0	y=	30	(	0	,	30	)<BR>\n" );
document.write( "when y =	0	x=	45	(	45	,	0	)<BR>\n" );
document.write( "								<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C500%2C-10%2C50%2C-10%2C20%2Cgrid%280.1%29%2Ccircle%280%2C40%2C0.3%29%2Ccircle%2840%2C0%2C0.3%29%2Ccircle%280%2C30%2C0.3%29%2Ccircle%2845%2C0%2C0.3%29%2Cgraph%28500%2C500%2C-10%2C50%2C-10%2C20%2Cy=40-x%2Cy=-%282%2F3%29x%2B30%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >								<BR>\n" );
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document.write( "You will observe that the point of intersection is						30,10\r<BR>\n" );
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document.write( "			<BR>\n" );
document.write( " </SPAN>\n" );
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