document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=534061>Question 534061</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A clothing company borrows $775,000. Some of the money is borrowed at 8%, some at 9%, and some at 10% simple annual interest. How much is borrowed at each rate if the total annual interest is $67,500 and the amount borrowed at 8% is four times the amount borrowed at 10%? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351316 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=351316\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 8%--------------------x<BR>\n" );
document.write( "9%--------------------y\r<BR>\n" );
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document.write( "10%-------------------z\r<BR>\n" );
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document.write( "x=4z\r<BR>\n" );
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document.write( "therefore 8% -----------4z\r<BR>\n" );
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document.write( "4z+y+z=775000<BR>\n" );
document.write( "5z+y=775000...................(1)\r<BR>\n" );
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document.write( "0.08*4z+0.09y+0.1z=67500<BR>\n" );
document.write( "0.32z+0.09y+0.1z=67500<BR>\n" );
document.write( "0.42z+0.09y=67500.............(2)\r<BR>\n" );
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document.write( "5	z	+	1	y	=	775000	.............1	<BR>\n" );
document.write( "0.42	z	+	0.09	y	=	67500	.............2	<BR>\n" );
document.write( "Eliminate y								<BR>\n" );
document.write( "multiply (1)by 		-0.09						<BR>\n" );
document.write( "Multiply (2) by		1						<BR>\n" );
document.write( "-0.45	z		-0.09	y	=	-69750		<BR>\n" );
document.write( "0.42	z		0.09	y	=	67500		<BR>\n" );
document.write( "Add the two equations								<BR>\n" );
document.write( "-0.03	z				=	-2250		<BR>\n" );
document.write( "/	-0.03							<BR>\n" );
document.write( "z	=	75,000.00						<BR>\n" );
document.write( "plug value of 			z	in (1)				<BR>\n" );
document.write( "5	z	+	1	y	=	775000		<BR>\n" );
document.write( "375000		+	1	y	=	775000		<BR>\n" );
document.write( "			1	y	=	775000		-375000<BR>\n" );
document.write( "			1	y	=	400000		<BR>\n" );
document.write( "				y	=	400000.00		<BR>\n" );
document.write( "10% ------------$75000						<BR>\n" );
document.write( "9%--------------$400000	<BR>\n" );
document.write( "8%--------------4*75000= $300000\r<BR>\n" );
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document.write( "CHECK\r<BR>\n" );
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document.write( "75000*0.1+400000*0.09+300000*0.08=67500\r<BR>\n" );
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document.write( "						<BR>\n" );
document.write( "m.ananth@hotmail.ca								\r<BR>\n" );
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document.write( " </SPAN>\n" );
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