document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=836349>Question 836349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The annual interest on a $6000 investment exceeds the interest earned on a $5000 investment by $70.  The $6000 is invested at a 0.5% higher rate of interest than the $5000. What is the interest rate of each investment </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #504147 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=504147\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "The annual interest on a $6000 be x<BR>\n" );
document.write( "interest earned on a $5000be y\r<BR>\n" );
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document.write( "x-y=70...................(1)\r<BR>\n" );
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document.write( "rate of interest than the $5000. is (100/5000)y% = y/50 %<BR>\n" );
document.write( "The $6000 is invested at a 0.5% rate of interest = (100/6000)x= x/60%\r<BR>\n" );
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document.write( "x/60 % - y/50 % = 0.5\r<BR>\n" );
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document.write( "multiply by 100\r<BR>\n" );
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document.write( "5x/3 -2y= 50<BR>\n" );
document.write( "5x-6y=150..................(2)<BR>\n" );
document.write( "x		-	y	=	70	.............1	<BR>\n" );
document.write( "Total value								<BR>\n" );
document.write( "5	x		-6	y	=	150	.............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( "-6	x		6	y	=	-420		<BR>\n" );
document.write( "5	x		-6	y	=	150		<BR>\n" );
document.write( "Add the two equations								<BR>\n" );
document.write( "-1	x				=	-270		<BR>\n" );
document.write( "/	-1							<BR>\n" );
document.write( "x	=	270						<BR>\n" );
document.write( "plug value of			x	in (1)				<BR>\n" );
document.write( "1	x		-1	y	=	70		<BR>\n" );
document.write( "270			-1	y	=	70		<BR>\n" );
document.write( "			-1	y	=	70		-270<BR>\n" );
document.write( "			-1	y	=	-200		<BR>\n" );
document.write( "				y	=	200		\r<BR>\n" );
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document.write( "On 6000 he gets 270<BR>\n" );
document.write( "which is 4.5%\r<BR>\n" );
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document.write( "On 5000 he gets 200<BR>\n" );
document.write( "which is 4%\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );