document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=497529>Question 497529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sum of $2,450 is invested, part of it at 11% interest and the remainder at 14%. If the interest earned by the 14% investment is $100 more than the interest earned by the 11% investment, find the amount invested at each rate. \r<BR>\n" );
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document.write( "Can you show work?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #336748 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=336748\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Part I	11.00%		per annum	-------------		x				<BR>\n" );
document.write( "Part II	14.00%		per annum	------------		y				<BR>\n" );
document.write( "	total investment	2450								<BR>\n" );
document.write( "	Interest-----	11.00%	x			<BR>\n" );
document.write( "	Interest =	14.00%	y 	greater by	100								<BR>\n" );
document.write( "	11.00%	x	=	14.00%	y	+	100			<BR>\n" );
document.write( "	multiply by 		100							<BR>\n" );
document.write( "	11	x	- 	14	y	=	10000	--------1		<BR>\n" );
document.write( "x	+	y	=	2450		-------- 2				<BR>\n" );
document.write( "eliminate y										<BR>\n" );
document.write( "Multiply 1 by	1									<BR>\n" );
document.write( "Multiply 2 by	14									<BR>\n" );
document.write( "we get										<BR>\n" );
document.write( "11	x	-14	y	=	10000				<BR>\n" );
document.write( "14	x	+14	y	=	34300				<BR>\n" );
document.write( "25	x				=	44300				<BR>\n" );
document.write( "/	25									<BR>\n" );
document.write( "	x=	1772								<BR>\n" );
document.write( "Plug the value of x in  in 1										<BR>\n" );
document.write( "19492	-14	y	=	10000						<BR>\n" );
document.write( "	-14	y	=	10000	-19492					<BR>\n" );
document.write( "	-14	y	=	-9492						<BR>\n" );
document.write( "	/	-14								<BR>\n" );
document.write( "	y=	678								<BR>\n" );
document.write( "$	1772	at	11.00%							<BR>\n" );
document.write( "$	678	at	14.00%							<BR>\n" );
document.write( " </SPAN>\n" );
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