document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=446440>Question 446440</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When three pumps, A, B, C, are running together, they can pump 3200 gal per hour. When only A and B are running, 1800 gal per hour can be pumped, when only  A and C are running 2000 gal_per hour can be pumped. What is the pumping capacity of each pump?<BR>\n" );
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document.write( " $6300 is invested, part of it at !0% and part of it at 6%. For a certain year, the total yield is $502.00 How much was invested at each rate?<BR>\n" );
document.write( "How much was invested at 10%<BR>\n" );
document.write( "How much was invested at 6% </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #307466 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=307466\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A= xgal/h, B=ygal/h, C= zgal/h\r<BR>\n" );
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document.write( "x+y+z=3200....1<BR>\n" );
document.write( "x+y=1800......2<BR>\n" );
document.write( "x+z= 2000......3\r<BR>\n" );
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document.write( "multiply (2) by -1 and add to (1)<BR>\n" );
document.write( "-x-y=-1800<BR>\n" );
document.write( "add it to (1)<BR>\n" );
document.write( "z=1400<BR>\n" );
document.write( "In eq(3)<BR>\n" );
document.write( "x+z=2000<BR>\n" );
document.write( "plug z<BR>\n" );
document.write( "x+1400=2000<BR>\n" );
document.write( "x=600<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Plug x & z in (1)<BR>\n" );
document.write( "600+y+1400=3200<BR>\n" );
document.write( "y=1200<BR>\n" );
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document.write( "Part I	10.00%		per annum				<BR>\n" );
document.write( "Part II	6.00%		per annum					<BR>\n" );
document.write( "x+y=6300	------------------------1				<BR>\n" );
document.write( "10.00%x+	6.00%y=$502.00			<BR>\n" );
document.write( "Multiply by 100							<BR>\n" );
document.write( "10x+6y=$50,200.00		--------2	<BR>\n" );
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document.write( "Multiply (1) by	-10						<BR>\n" );
document.write( "we get									<BR>\n" );
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document.write( "-10x-10y=-63000.00			<BR>\n" );
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document.write( "Add this to (2)									<BR>\n" );
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document.write( "-4y=-$12,800.00			<BR>\n" );
document.write( "divide by		-4						<BR>\n" );
document.write( "y=$3,200.00	investment at 	6.00%<BR>\n" );
document.write( "Balance	$3,100.00 investment at 	10.00%\r<BR>\n" );
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document.write( "m.ananth@hotmail.ca\r<BR>\n" );
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document.write( " </SPAN>\n" );
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