document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=471712>Question 471712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have worked on this problem for three days, and need some help please.\r<BR>\n" );
document.write( "\n" );
document.write( " The question ask: An investment of $57,000 was made by a business club. The investment was split into three parts and lasted for a year.The first part of the investment earned 8% interest, the second 6%, and the third 9% interest. Total interest from the investments was $4290. The interest from the first investment was three times the interest from the second. Find the amounts of the three part investments.\r<BR>\n" );
document.write( "\n" );
document.write( "Investment 1 =<BR>\n" );
document.write( "Investment 2 =<BR>\n" );
document.write( "Investment 3 = \r<BR>\n" );
document.write( "\n" );
document.write( "Thanks so much, hopefully you can help!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #323495 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=323495\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An investment of $57,000 was made by a business club. The investment was split into three parts and lasted for a year.The first part of the investment earned 8% interest, the second 6%, and the third 9% interest. Total interest from the investments was $4290. The interest from the first investment was three times the interest from the second. Find the amounts of the three part investments. <BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "3 equations with 3 variables:<BR>\n" );
document.write( "Quantity: x + y + z = 57000<BR>\n" );
document.write( "Interest:0.08x+0.06y+0.09z = 4290<BR>\n" );
document.write( "Interest:0.08x - 3*0.06y = 0<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Rearrange:<BR>\n" );
document.write( "x    +   y  +   z    = 57000<BR>\n" );
document.write( "8x   +  6y  +  9z    = 429000<BR>\n" );
document.write( "8x   - 18y  +   0    = 0<BR>\n" );
document.write( "=================================<BR>\n" );
document.write( "Solve the system by any method you know to get:<BR>\n" );
document.write( "x = $36000<BR>\n" );
document.write( "y = $16000<BR>\n" );
document.write( "z = $5000<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );