document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=853231>Question 853231</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A woman has a total of $8,000 to invest. She invests part of the money in an account that pays 5% per year and the rest in an account that pays 9% per year. If the interest earned in the first year is $520, how much did she invest in each account? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #513986 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=513986\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Part I	5.00%		per annum	-------------	Amount invested =x	<BR>\n" );
document.write( "Part II	9.00%		per annum	------------	Amount invested = y	<BR>\n" );
document.write( "	8000					<BR>\n" );
document.write( "Interest-----	520.00					<BR>\n" );
document.write( "						<BR>\n" );
document.write( "Part I	5.00%		per annum	---x		<BR>\n" );
document.write( "Part II	9.00%		per annum	---y		<BR>\n" );
document.write( "Total investment						<BR>\n" );
document.write( "x	+	1	y=	8000	-------------1	<BR>\n" );
document.write( "Interest on both investments						<BR>\n" );
document.write( "5.00%	x	+	9.00%	y=	520	<BR>\n" );
document.write( "Multiply by		100				<BR>\n" );
document.write( "5	x	+	9	y=	52000.00	--------2<BR>\n" );
document.write( "Multiply (1) by			-5			<BR>\n" );
document.write( "we get						<BR>\n" );
document.write( "-5	x	-5	y=	-40000.00		<BR>\n" );
document.write( "Add this to (2)						<BR>\n" );
document.write( "0	x	4	y=	12000		<BR>\n" );
document.write( "divide by		4				<BR>\n" );
document.write( "			y	=	3000	<BR>\n" );
document.write( "Part I	5.00%	$	5000			<BR>\n" );
document.write( "Part II	9.00%	$	3000			<BR>\n" );
document.write( "						<BR>\n" );
document.write( "CHECK						<BR>\n" );
document.write( "5000	---------	5.00%	-------	250.00		<BR>\n" );
document.write( "3000	-------------	9.00%	-------	270.00		<BR>\n" );
document.write( "Total			--------------------	520.00		<BR>\n" );
document.write( "						<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );