document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=803721>Question 803721</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A real estate firm invests $100,000 in two ways. The first portion is invested with an annual return of 8%. The rest is invested for an annual return of 5%. The firm wants an annual income of $6800 from the investments. How much should be put into each investment. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #484453 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=484453\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Part I	8.00%		per annum	-------------	Amount invested =x		<BR>\n" );
document.write( "Part II	5.00%		per annum	------------	Amount invested = y		<BR>\n" );
document.write( "	100000						<BR>\n" );
document.write( "Interest-----	6800.00						<BR>\n" );
document.write( "							<BR>\n" );
document.write( "Part I	8.00%		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=	100000	-------------1		<BR>\n" );
document.write( "Interest on both investments							<BR>\n" );
document.write( "8.00%	x	+	5.00%	y=	6800		<BR>\n" );
document.write( "Multiply by		100					<BR>\n" );
document.write( "8	x	+	5	y=	680000.00	--------2	<BR>\n" );
document.write( "Multiply (1) by			-8				<BR>\n" );
document.write( "we get							<BR>\n" );
document.write( "-8	x	-8	y=	-800000.00			<BR>\n" );
document.write( "Add this to (2)							<BR>\n" );
document.write( "0	x	-3	y=	-120000			<BR>\n" );
document.write( "divide by		-3					<BR>\n" );
document.write( "			y	=	40000	 -	x)<BR>\n" );
document.write( "Part I	8.00%	$	60000				<BR>\n" );
document.write( "Part II	5.00%	$	40000				<BR>\n" );
document.write( "							<BR>\n" );
document.write( "CHECK							<BR>\n" );
document.write( "60000	---------	8.00%	-------	4800.00			<BR>\n" );
document.write( "40000	-------------	5.00%	-------	2000.00			<BR>\n" );
document.write( "Total			--------------------	6800.00			<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );