document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=525995>Question 525995</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A person invests $50,000 for one year; some is invested at 7%, some at 8%, and the remainder at 12%. The combined interest earned at the end of the year from  these investments was $4,770. the amount invested at 8% is $4000 more then the amount invested at 7% and 12% combined. find the amount of money invested at each rate </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348289 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=348289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 7%--------------x<BR>\n" );
document.write( "8%--------------(x+y+4000)<BR>\n" );
document.write( "12%-------------y\r<BR>\n" );
document.write( "\n" );
document.write( "x+x+y+4000+y= 50000<BR>\n" );
document.write( "2x+2y+4000=50000<BR>\n" );
document.write( "2x+2y=46000<BR>\n" );
document.write( "/2<BR>\n" );
document.write( "x+y=23000..............(1)\r<BR>\n" );
document.write( "\n" );
document.write( "7x+8(x+y+4000)+12y= 4770 *100  ( the % is converted by multiplying by 100)\r<BR>\n" );
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document.write( "7x+8x+8y+32000+12y=477000<BR>\n" );
document.write( "15x+20y=477000-32000<BR>\n" );
document.write( "15x+20y=445000<BR>\n" );
document.write( "/5<BR>\n" );
document.write( "3x+4y=89000................(2)\r<BR>\n" );
document.write( "\n" );
document.write( "1	x	+	1	y	=	23000	.............1	<BR>\n" );
document.write( "3	x	+	4	y	=	89000	.............2	<BR>\n" );
document.write( "Eliminate y								<BR>\n" );
document.write( "multiply (1)by 		-4						<BR>\n" );
document.write( "Multiply (2) by		1						<BR>\n" );
document.write( "-4	x		-4	y	=	-92000		<BR>\n" );
document.write( "3	x		4	y	=	89000		<BR>\n" );
document.write( "Add the two equations								<BR>\n" );
document.write( "-1	x				=	-3000		<BR>\n" );
document.write( "/	-1							<BR>\n" );
document.write( "x	=	3,000.00						<BR>\n" );
document.write( "plug value of 			x	in (1)				<BR>\n" );
document.write( "1	x	+	1	y	=	23000		<BR>\n" );
document.write( "3000		+	1	y	=	23000		<BR>\n" );
document.write( "			1	y	=	23000		-3000<BR>\n" );
document.write( "				<BR>\n" );
document.write( "7%--------------x= $3,000<BR>\n" );
document.write( "8%--------------(x+y+4000)= $27000<BR>\n" );
document.write( "12%-------------y= 20000\r<BR>\n" );
document.write( "\n" );
document.write( "m.ananth@hotmail.ca\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );