document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=552053>Question 552053</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A person invested $42,000 in three different funds paying 5%, 7%, and 9% simple interest. The total annual interest from these investments was $2,600. The amount of money invested at 5% was $200 less than the amount invested at 7% and 9% combined. How much was invested in each fund? Check your solution. \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #360051 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=360051\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Total = $42,000 <BR>\n" );
document.write( "5%, <BR>\n" );
document.write( "7%,<BR>\n" );
document.write( " and 9%<BR>\n" );
document.write( " interest $2,600. \r<BR>\n" );
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document.write( "7% ----------x<BR>\n" );
document.write( "9%-----------y<BR>\n" );
document.write( "5%----------(x+y-200)\r<BR>\n" );
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document.write( "Total investment <BR>\n" );
document.write( "x+y+x+y-200 = 42000<BR>\n" );
document.write( "2x+2y=42000+200<BR>\n" );
document.write( "2x+2y=42200<BR>\n" );
document.write( "/2<BR>\n" );
document.write( "x+y=21100................(1)<BR>\n" );
document.write( "Interest<BR>\n" );
document.write( "perecntages have been converted by multiplying the equation by 100<BR>\n" );
document.write( "7x+9y+5(x+y-200)= 2600*100<BR>\n" );
document.write( "7x+9y+5x+5y-1000=260000<BR>\n" );
document.write( "12x+13y=260000+1000<BR>\n" );
document.write( "12x+13y=261000..............(2)\r<BR>\n" );
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document.write( "1	x	+	1	y	=	21100	.............1	<BR>\n" );
document.write( "12	x	+	13	y	=	261000	.............2	<BR>\n" );
document.write( "Eliminate y								<BR>\n" );
document.write( "multiply (1)by 		-13						<BR>\n" );
document.write( "Multiply (2) by		1						<BR>\n" );
document.write( "-13	x		-13	y	=	-274300		<BR>\n" );
document.write( "12	x		13	y	=	261000		<BR>\n" );
document.write( "Add the two equations								<BR>\n" );
document.write( "-1	x				=	-13300		<BR>\n" );
document.write( "/	-1							<BR>\n" );
document.write( "x	=	13300    			<BR>\n" );
document.write( "plug value of 			x	in (1)				<BR>\n" );
document.write( "1	x	+	1	y	=	21100		<BR>\n" );
document.write( "13300		+	1	y	=	21100		<BR>\n" );
document.write( "			1	y	=	21100		-13300<BR>\n" );
document.write( "			1	y	=	7800		<BR>\n" );
document.write( "				y	=	7800<BR>\n" );
document.write( "x+y-200 = 13300+7800-200=21900\r<BR>\n" );
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document.write( "$13,300@ 7%<BR>\n" );
document.write( "$7800 @ 9%<BR>\n" );
document.write( "20,900 @ 5%\r<BR>\n" );
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document.write( "m.ananth@hotmail.ca\r<BR>\n" );
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