document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930254>Question 930254</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do i set these equations up?<BR>\n" );
document.write( "An investment of $6000 is made into a 14% annual simple interest account. How much money is deposited into a 10% annual simple interest account if the total annual interest earned on both accounts is 12% of the total investment?<BR>\n" );
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document.write( "A stockbroker has 12,000 to invest. The broker recommends part of the 12,000 be placed in 12% tax free bonds, and the rest in 18% commercial bonds. How much should be invested in the commercial bonds so that the total annual interest is $1920? <BR>\n" );
document.write( "So far for the last one I got 12,000-x(.12)+.18x=$1920, but am coming up with something other than what is on the answer key.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #564805 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=564805\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> amount invested at 		14.00%		6000					<BR>\n" );
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document.write( "Another part invested at x%		10.00%		x					<BR>\n" );
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document.write( "14.00%	*	6000	+	10.00%	x=	12.00%	(x+	6000	)<BR>\n" );
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document.write( "840	+	10.00%	x=	12.00%	x+	12.00%	*	6000	<BR>\n" );
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document.write( "840	+	10.00%	x=	12.00%	x+	720			<BR>\n" );
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document.write( "12.00%	x	-	10.00%	x=	840	-  	720		<BR>\n" );
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document.write( "2.00%	x=	120							<BR>\n" );
document.write( "	x=	120	/	2.00%					<BR>\n" );
document.write( "	x=	6000							<BR>\n" );
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document.write( "The amount invested at		10.00%	=	$	6000				<BR>\n" );
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document.write( "CHECK									<BR>\n" );
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document.write( "14.00%	*	6000	+	6000	*	10.00%			<BR>\n" );
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document.write( "840	+	600	=	1440					<BR>\n" );
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document.write( "12000	*	12.00%	=	1440					\r<BR>\n" );
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document.write( "(6000+6000)									\r<BR>\n" );
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document.write( "Part I	12.00%		per annum	-------------	Amount invested =x		<BR>\n" );
document.write( "Part II	18.00%		per annum	------------	Amount invested = y		<BR>\n" );
document.write( "	12000						<BR>\n" );
document.write( "Interest-----	1920.00						<BR>\n" );
document.write( "							<BR>\n" );
document.write( "Part I	12.00%		per annum	---x			<BR>\n" );
document.write( "Part II	18.00%		per annum	---y			<BR>\n" );
document.write( "Total investment							<BR>\n" );
document.write( "x	+	1	y=	12000	-------------1		<BR>\n" );
document.write( "Interest on both investments							<BR>\n" );
document.write( "12.00%	x	+	18.00%	y=	1920		<BR>\n" );
document.write( "Multiply by		100					<BR>\n" );
document.write( "12	x	+	18	y=	192000.00	--------2	<BR>\n" );
document.write( "Multiply (1) by			-12				<BR>\n" );
document.write( "we get							<BR>\n" );
document.write( "-12	x	-12	y=	-144000.00			<BR>\n" );
document.write( "Add this to (2)							<BR>\n" );
document.write( "0	x	6	y=	48000			<BR>\n" );
document.write( "divide by		6					<BR>\n" );
document.write( "			y	=	8000		<BR>\n" );
document.write( "Part I	12.00%	$	4000				<BR>\n" );
document.write( "Part II	18.00%	$	8000				<BR>\n" );
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document.write( "CHECK							<BR>\n" );
document.write( "4000	---------	12.00%	-------	480.00			<BR>\n" );
document.write( "8000	-------------	18.00%	-------	1440.00			<BR>\n" );
document.write( "Total			--------------------	1920.00			<BR>\n" );
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document.write( "m.ananth@hotmail.ca							<BR>\n" );
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