document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1130191>Question 1130191</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An investment of &#8203;$92 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&#8203; 8% interest, the second&#8203; 6%, and the third&#8203; 9%.  Total interest from the investments was $ 7200.&#8195;&#8195;The interest from the first investment was 4 times the interest from the second.  Find the amounts of the three parts of the investment. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746936 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=746936\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The amount of interest from the part at 8% was 4 times the amount of interest from the part at 6%.  The 8% rate is 4/3 of the 6% rate; to get 4 times as much interest, using an interest rate that is 4/3 as large, the amount at 8% must be 3 times the amount at 6%.  So<br><BR>\n" );
document.write( "let x = amount at 6%<BR>\n" );
document.write( "then 3x = amount at 8%<BR>\n" );
document.write( "and (92000-4x) = amount at 9%<br><BR>\n" );
document.write( "The total interest was $7200:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.06%28x%29%2B.08%283x%29%2B.09%2892000-4x%29+=+7200 ALIGN=MIDDLE  ALT=\".06%28x%29%2B.08%283x%29%2B.09%2892000-4x%29+=+7200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.06x%2B.24x%2B8280-.36x+=+7200 ALIGN=MIDDLE  ALT=\".06x%2B.24x%2B8280-.36x+=+7200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1080+=+.06x ALIGN=MIDDLE  ALT=\"1080+=+.06x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1080%2F.06+=+18000 ALIGN=MIDDLE  ALT=\"x+=+1080%2F.06+=+18000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: The amounts invested at each rate were<br><BR>\n" );
document.write( "6%: x = $18000<BR>\n" );
document.write( "8%: 3x = $54000<BR>\n" );
document.write( "9%: $92000-4x = $20000<br><BR>\n" );
document.write( "CHECK: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.06%2818000%29%2B.08%2854000%29%2B.09%2820000%29+=+1080%2B4320%2B1800+=+7200 ALIGN=MIDDLE  ALT=\".06%2818000%29%2B.08%2854000%29%2B.09%2820000%29+=+1080%2B4320%2B1800+=+7200\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );