document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=858600>Question 858600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Phyllis invested 64000 dollars, a portion earning a simple interest rate of 4 percent per year and the rest earning a rate of 7 percent per year. After one year the total interest earned on these investments was 3730 dollars. How much money did she invest 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 #517297 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=517297\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Part I	4.00%		per annum	-------------	Amount invested =x		<BR>\n" );
document.write( "Part II	7.00%		per annum	------------	Amount invested = y		<BR>\n" );
document.write( "	67000						<BR>\n" );
document.write( "Interest-----	3730.00						<BR>\n" );
document.write( "							<BR>\n" );
document.write( "Part I	4.00%		per annum	---x			<BR>\n" );
document.write( "Part II	7.00%		per annum	---y			<BR>\n" );
document.write( "Total investment							<BR>\n" );
document.write( "x	+	1	y=	67000	-------------1		<BR>\n" );
document.write( "Interest on both investments							<BR>\n" );
document.write( "4.00%	x	+	7.00%	y=	3730		<BR>\n" );
document.write( "Multiply by		100					<BR>\n" );
document.write( "4	x	+	7	y=	373000.00	--------2	<BR>\n" );
document.write( "Multiply (1) by			-4				<BR>\n" );
document.write( "we get							<BR>\n" );
document.write( "-4	x	-4	y=	-268000.00			<BR>\n" );
document.write( "Add this to (2)							<BR>\n" );
document.write( "0	x	3	y=	105000			<BR>\n" );
document.write( "divide by		3					<BR>\n" );
document.write( "			y	=	35000		<BR>\n" );
document.write( "Part I	4.00%	$	32000				<BR>\n" );
document.write( "Part II	7.00%	$	35000				<BR>\n" );
document.write( "							<BR>\n" );
document.write( "CHECK							<BR>\n" );
document.write( "32000	---------	4.00%	-------	1280.00			<BR>\n" );
document.write( "35000	-------------	7.00%	-------	2450.00			<BR>\n" );
document.write( "Total			--------------------	3730.00			<BR>\n" );
document.write( "							<BR>\n" );
document.write( "m.ananth@hotmail.ca							<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );