document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=783102>Question 783102</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Last year, Carlos had 20000  to invest. He invested some of it in an account that paid 9% simple interest per year, and he invested the rest in an account that paid 5%  simple interest per year. After one year, he received a total of 1160  in interest. How much did he 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 #476622 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=476622\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Part I	9.00%		per annum	-------------	Amount invested =x		<BR>\n" );
document.write( "Part II	5.00%		per annum	------------	Amount invested = y		<BR>\n" );
document.write( "	20000						<BR>\n" );
document.write( "Interest-----	1160.00						<BR>\n" );
document.write( "							<BR>\n" );
document.write( "Part I	9.00%		per annum	---x			<BR>\n" );
document.write( "Part II	5.00%		per annum	---y			<BR>\n" );
document.write( "Total investment							<BR>\n" );
document.write( "x	+	1	y=	20000	-------------1		<BR>\n" );
document.write( "Interest on both investments							<BR>\n" );
document.write( "9.00%	x	+	5.00%	y=	1160		<BR>\n" );
document.write( "Multiply by		100					<BR>\n" );
document.write( "9	x	+	5	y=	116000.00	--------2	<BR>\n" );
document.write( "Multiply (1) by			-9				<BR>\n" );
document.write( "we get							<BR>\n" );
document.write( "-9	x	-9	y=	-180000.00			<BR>\n" );
document.write( "Add this to (2)							<BR>\n" );
document.write( "0	x	-4	y=	-64000			<BR>\n" );
document.write( "divide by		-4					<BR>\n" );
document.write( "			y	=	16000	 -	x)<BR>\n" );
document.write( "Part I	9.00%	$	4000				<BR>\n" );
document.write( "Part II	5.00%	$	16000				<BR>\n" );
document.write( "							<BR>\n" );
document.write( "CHECK							<BR>\n" );
document.write( "4000	---------	9.00%	-------	360.00			<BR>\n" );
document.write( "16000	-------------	5.00%	-------	800.00			<BR>\n" );
document.write( "Total			--------------------	1160.00			<BR>\n" );
document.write( "							<BR>\n" );
document.write( "m.ananth@hotmail.ca							<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );