document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177790>Question 1177790</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 7 people took the trip. She was able to purchase coach tickets for ​$150 and first class tickets for ​$970. She used her total budget for airfare for the​ trip, which was ​$5150. How many first class tickets did she​ buy? How many coach tickets did she​ buy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #806873 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=806873\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sarah a total of 7 people took the trip.<BR>\n" );
document.write( "let number of coach class tickets be x<BR>\n" );
document.write( "first class tickets be y\r<BR>\n" );
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document.write( "x+y=7\r<BR>\n" );
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document.write( "She was able to purchase coach tickets for ​$150 and first class tickets for ​$970.\r<BR>\n" );
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document.write( "total budget  ​$5150. \r<BR>\n" );
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document.write( "150x +970y = 5150\r<BR>\n" );
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document.write( "	x	+		y	=	7.00						<BR>\n" );
document.write( "												<BR>\n" );
document.write( "												<BR>\n" );
document.write( "150.00	x	+	970.00	y	=	5150.00	.............2					<BR>\n" );
document.write( "Eliminate 	y											<BR>\n" );
document.write( "multiply (1)by		-970.00										<BR>\n" );
document.write( "Multiply (2) by		1.00										<BR>\n" );
document.write( "-970.00	x		-970.00	y	=	-6790.00						<BR>\n" );
document.write( "150.00	x		970.00	y	=	5150.00						<BR>\n" );
document.write( "Add the two equations												<BR>\n" );
document.write( "-820.00	x				=	-1640.00						<BR>\n" );
document.write( "/	-820.00											<BR>\n" );
document.write( "x	=	2.00										<BR>\n" );
document.write( "plug value of			x	in (1)								<BR>\n" );
document.write( "	x	+		y	=	7.00						<BR>\n" );
document.write( "2.00		+		y	=	7.00						<BR>\n" );
document.write( "			1.00	y	=	5.00						<BR>\n" );
document.write( "				y	=	5.00						<BR>\n" );
document.write( "Ans	x	=	2.00									<BR>\n" );
document.write( "	y	=	5.00									<BR>\n" );
document.write( "	2.00	coach class tickets										<BR>\n" );
document.write( "	5.00	First class tickets										\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );