document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1115366>Question 1115366</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A health shop owner made trail mix containing dried fruit, nuts, and carob chips. The<BR>\n" );
document.write( "dried fruit sells for $5.50 per pound, the nuts sell for $7.50 per pound, and the carob chips<BR>\n" );
document.write( "sell for $8.50 per pound. The shop owner mixed 50 pounds of the trail mix and sells it for<BR>\n" );
document.write( "$6.70 per pound. If the amount of nuts is five pounds more than the amount of carob ships,<BR>\n" );
document.write( "how much of each item was used for the trail mix? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #730247 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=730247\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  The dried fruit sells for $5.50 per pound,  ------y pounds<BR>\n" );
document.write( " the nuts sell for $7.50 per pound,--------------x+5 pounds<BR>\n" );
document.write( " and the carob chips sell for $8.50 per pound.-----x pounds\r<BR>\n" );
document.write( "\n" );
document.write( " The shop owner mixed 50 pounds of the trail mix <BR>\n" );
document.write( "x+(x+5)+y =50<BR>\n" );
document.write( "2x+y = 45............................(1)\r<BR>\n" );
document.write( "\n" );
document.write( "and sells it for<BR>\n" );
document.write( "$6.70 per pound. <BR>\n" );
document.write( "8.50x+7.50(x+5) +5.50y = 50*6.70<BR>\n" );
document.write( "16x+37.5 +5.50y = 335<BR>\n" );
document.write( "16x+5.50y = 297.50\r<BR>\n" );
document.write( "\n" );
document.write( "2	x	+	1	y	=	45	.............1				<BR>\n" );
document.write( "											<BR>\n" );
document.write( "											<BR>\n" );
document.write( "16	x	+	6	y	=	297.50	.............2				<BR>\n" );
document.write( "Eliminate 	y										<BR>\n" );
document.write( "multiply (1)by		-6									<BR>\n" );
document.write( "Multiply (2) by		1									<BR>\n" );
document.write( "-12	x		-6	y	=	-270					<BR>\n" );
document.write( "16	x		6	y	=	298					<BR>\n" );
document.write( "Add the two equations											<BR>\n" );
document.write( "4	x				=	28					<BR>\n" );
document.write( "/	4										<BR>\n" );
document.write( "x	=	7									<BR>\n" );
document.write( "plug value of			x	in (1)							<BR>\n" );
document.write( "2	x	+	1	y	=	45					<BR>\n" );
document.write( "14		+	1	y	=	45					<BR>\n" );
document.write( "			1	y	=	31					<BR>\n" );
document.write( "				y	=	31					<BR>\n" );
document.write( "Ans	x	=	7								<BR>\n" );
document.write( "	y	=	31								<BR>\n" );
document.write( "carob chips 7 pounds<BR>\n" );
document.write( "nuts 7+5=12 pounds<BR>\n" );
document.write( "dried fruits 31   pounds\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );