document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=740308>Question 740308</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \"A sum of $3300 is invested, part of it at 10% interest and the remainder at 12%. If the interest earned by the 12% investment is $143 more than the interest earned by the 10% investment, find the amount invested at each rate.\"\r<BR>\n" );
document.write( "\n" );
document.write( "I would like help with setting up a proper equation and solving.\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #451551 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=451551\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 12%-----------x<BR>\n" );
document.write( "10%----------y\r<BR>\n" );
document.write( "\n" );
document.write( "x+y=3000,,,,,,,,,,,,,,,,,,,,,,,,(1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "12%x=10%y+143\r<BR>\n" );
document.write( "\n" );
document.write( "12%x-10%y=143<BR>\n" );
document.write( "multiply by 100<BR>\n" );
document.write( "12x-10y=14300.....................(2)\r<BR>\n" );
document.write( "\n" );
document.write( "1.00	x	+	1.00	y	=	3300.00	.............1	<BR>\n" );
document.write( "Total value								<BR>\n" );
document.write( "12.00	x		-10.00	y	=	14300.00	.............2	<BR>\n" );
document.write( "Eliminate	y							<BR>\n" );
document.write( "multiply (1)by		10.00						<BR>\n" );
document.write( "Multiply (2) by		1.00						<BR>\n" );
document.write( "10.00	x		10.00	y	=	33000.00		<BR>\n" );
document.write( "12.00	x		-10.00	y	=	14300.00		<BR>\n" );
document.write( "Add the two equations								<BR>\n" );
document.write( "22.00	x				=	47300.00		<BR>\n" );
document.write( "/	22.00							<BR>\n" );
document.write( "x	=	2150.00						<BR>\n" );
document.write( "plug value of			x	in (1)				<BR>\n" );
document.write( "1.00	x	+	1.00	y	=	3300.00		<BR>\n" );
document.write( "2150.00		+		y	=	3300.00		<BR>\n" );
document.write( "				y	=	3300.00		-2150.00<BR>\n" );
document.write( "				y	=	1150.00		<BR>\n" );
document.write( "				y	=	1150.00		<BR>\n" );
document.write( "12%---------$2150<BR>\n" );
document.write( "10%---------$1150 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );