document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153985>Question 1153985</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An investment of ​$70 comma 000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned​ 8% interest, the second​ 6%, and the third​ 9%. Total interest from the investments was $ 5220. The interest from the first investment was 2 times the interest from the second. Find the amounts of the three parts of the investment.\r<BR>\n" );
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document.write( "The first part of the investment was ​$\r<BR>\n" );
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document.write( "2nd part $\r<BR>\n" );
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document.write( "Third part $ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #776364 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=776364\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let Investment I be x @8%<BR>\n" );
document.write( "Investment II be y @ 6%<BR>\n" );
document.write( "and investment III be z @ 9%\r<BR>\n" );
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document.write( "Total investment \r<BR>\n" );
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document.write( "x+y+z=70000-----------1\r<BR>\n" );
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document.write( "Interest accrued\r<BR>\n" );
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document.write( "8%x+6%y+9%z = 5220<BR>\n" );
document.write( "multiply by 100\r<BR>\n" );
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document.write( "we get<BR>\n" );
document.write( "8x+6y+9z =522000-------2\r<BR>\n" );
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document.write( "8%x = 2*6%y<BR>\n" );
document.write( "therefore 8x=12y\r<BR>\n" );
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document.write( "8x-12y=0        -------3\r<BR>\n" );
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document.write( "											<BR>\n" );
document.write( "	x	+		y	+		z	=	70000		<BR>\n" );
document.write( "8	x	+	6	y	+	9	z	=	522000		<BR>\n" );
document.write( "											<BR>\n" );
document.write( "8	x		-12	y	=	0		<BR>\n" );
document.write( "											<BR>\n" );
document.write( "											<BR>\n" );
document.write( "											<BR>\n" );
document.write( "consider equation 1 &2				Eliminate y							<BR>\n" );
document.write( "Multiply 1 by			-6								<BR>\n" );
document.write( "Multiply 2 by			1								<BR>\n" );
document.write( "we get											<BR>\n" );
document.write( "-6	x		-6	y		-6	z	=	-420000	<BR>\n" );
document.write( "8	x	+	6	y	+	9	z	=	522000	<BR>\n" );
document.write( "Add the two											<BR>\n" );
document.write( "2	x		+3z	=	102000	-------------4<BR>\n" );
document.write( "consider equation 2 & 3				Eliminate y							<BR>\n" );
document.write( "Multiply 2 by				2							<BR>\n" );
document.write( "Multiply 3 by				1							<BR>\n" );
document.write( "we get											<BR>\n" );
document.write( "16	x	+	12	y	+	18	z	=	1044000		<BR>\n" );
document.write( "8	x	+	-12	y		=	0		<BR>\n" );
document.write( "Add the two											<BR>\n" );
document.write( "24	x		+18z	=	1044000	-------------5	<BR>\n" );
document.write( "Consider (4) & (5)			Eliminate x								<BR>\n" );
document.write( "Multiply 4 by				-12							<BR>\n" );
document.write( "Multiply (5) by				1							<BR>\n" );
document.write( "we get				2							<BR>\n" );
document.write( "-24	x		-36	z	=	-1224000					<BR>\n" );
document.write( "24	x	+	18	z	=	1044000					<BR>\n" );
document.write( "Add the two											<BR>\n" );
document.write( "		-18	z	=	-180000					<BR>\n" );
document.write( "											<BR>\n" );
document.write( "z	=			10000      							<BR>\n" );
document.write( "											<BR>\n" );
document.write( "Plug the value of z in						(5)					<BR>\n" );
document.write( "24	x	+	180000      		=	1044000					<BR>\n" );
document.write( "24	x	=	864000      								<BR>\n" );
document.write( "x	=			36000      							<BR>\n" );
document.write( "plug value of x & z in					1						<BR>\n" );
document.write( "36000      	+	1	y	+	10000      	=	70000				<BR>\n" );
document.write( "	y	=	70000      		-36000      		-10000      				<BR>\n" );
document.write( "	y=	24000									\r<BR>\n" );
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document.write( "First investment $36000<BR>\n" );
document.write( "II investment $24000<BR>\n" );
document.write( "III investment $10000\r<BR>\n" );
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document.write( "Total $70,000\r<BR>\n" );
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document.write( " </SPAN>\n" );
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