document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=864755>Question 864755</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Oh boy, I'm stumped as to how to proceed. We're working with systems of equations right now and this problem is really starting to tax my patience. <BR>\n" );
document.write( "\"$24000 is invested in three different accounts, each paying 1%, 2%, and 3% interest, respectively. After 1 year, the simple interest earned from all three accounts amounts to $440. If the account paying 1% interest contains three times the amount in the account paying 2% interest, how much was invested in the three accounts?\"\r<BR>\n" );
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document.write( "Specifically, I don't know how to set this information up as a system of equations. Since there are three accounts, I think this should be a 3x3 equation, but I've only been able to come up with <BR>\n" );
document.write( "x+y+z=24000, and (.01)x+(.02)y+(.03)z=440 \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #521258 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=521258\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are right normally we need three equations for three unknowns.<BR>\n" );
document.write( "Let's see what we know and how we can use that info<BR>\n" );
document.write( "\"$24000 is invested in three different accounts<BR>\n" );
document.write( "x+y+z=24000,<BR>\n" );
document.write( "each paying 1%, 2%, and 3% interest, respectively.<BR>\n" );
document.write( "After 1 year, the simple interest earned from all three accounts amounts to $440.<BR>\n" );
document.write( " (.01)x+(.02)y+(.03)z=440 <BR>\n" );
document.write( "If the account paying 1% interest contains three times the amount in the account paying 2% interest, <BR>\n" );
document.write( "You forgot this tidbit.\r<BR>\n" );
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document.write( "x=3y,<BR>\n" );
document.write( "(.01)x+(.02)y+(.03)z=440,<BR>\n" );
document.write( "x+y+z=24000<BR>\n" );
document.write( "Sometimes you really have to squeeze info to get the three equations. Here you missed a treasure\r<BR>\n" );
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document.write( "x=12000.,   y=4000.,   z=8000. </SPAN>\n" );
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