document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174543>Question 1174543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Nithya has money invested in 3 accounts: Account A earns 3% interest, Account B earns 4%, and Account C earns 5%. The money invested in Account B is 4,000 less than the money in account A. The money invested in Account C is twice the amount in Account A. A total of $1,540 was earned in total interest for the year. What was the total amount of money invested between the 3 accounts at the start of the year? <BR>\n" );
document.write( "I tried this: <BR>\n" );
document.write( "x=account A, y= account B, z= account C <BR>\n" );
document.write( " 0.03x=0.04y+4,000 <BR>\n" );
document.write( "0.05z=0.06x<BR>\n" );
document.write( "0.03x+0.04y+0.05z=1540 <BR>\n" );
document.write( "But some numbers were negative. What's wrong with my equations?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #799957 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=799957\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Nithya has money invested in 3 accounts: Account A earns 3% interest, Account B earns 4%, and Account C earns 5%. The money invested in Account B is 4,000 less than the money in account A. The money invested in Account C is twice the amount in Account A. A total of $1,540 was earned in total interest for the year. What was the total amount of money invested between the 3 accounts at the start of the year? <BR>\n" );
document.write( "I tried this: <BR>\n" );
document.write( "x=account A, y= account B, z= account C <BR>\n" );
document.write( " 0.03x=0.04y+4,000 <BR>\n" );
document.write( "0.05z=0.06x<BR>\n" );
document.write( "0.03x+0.04y+0.05z=1540 <BR>\n" );
document.write( "But some numbers were negative. What's wrong with my equations? <BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">I agree with Tutor @IKLEYN that 1 variable is sufficient to solve problems such as this one.\r<BR>\n" );
document.write( "\n" );
document.write( "Let the amount invested in Company A be A<BR>\n" );
document.write( "Then amounts invested in Company B and Company C were: A - 4,000, and 2A, respectively<BR>\n" );
document.write( "We then get: .03A + .04(A - 4,000) + .05(2A) = 1,540<BR>\n" );
document.write( ".03A + .04A - 160 + .1A = 1,540<BR>\n" );
document.write( ".17A = 1,700<BR>\n" );
document.write( "Amount invested in Company A, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28matrix%281%2C5%2C+A%2C+%22=%22%2C+%221%2C700%22%2F.17%2C+%22=%22%2C+%22%2410%2C000%22%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You should now be able to find the amounts that were invested in Companies B & C! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );