document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191434>Question 1191434</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jolene invests her savings in two bank accounts, one paying 5 percent and the other paying 8 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 6498 dollars. How much did she invest at each rate?\r<BR>\n" );
document.write( "\n" );
document.write( "Amount invested at 5 percent interest is $\r<BR>\n" );
document.write( "\n" );
document.write( "Amount invested at 8 percent interest is  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823239 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</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=823239\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A standard straightforward algebraic solution....<br><BR>\n" );
document.write( "let x = amount invested at 8%<BR>\n" );
document.write( "then 2x = amount invested at 5%<br><BR>\n" );
document.write( "The total interest was $6498:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.08%28x%29%2B.05%282x%29=6498 ALIGN=MIDDLE  ALT=\".08%28x%29%2B.05%282x%29=6498\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.08x%2B.10x=6498 ALIGN=MIDDLE  ALT=\".08x%2B.10x=6498\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.18x=6498 ALIGN=MIDDLE  ALT=\".18x=6498\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6498%2F.18=36100 ALIGN=MIDDLE  ALT=\"x=6498%2F.18=36100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: x=$36,100 at 8%; 2x=$72,200 at 5%.<br><BR>\n" );
document.write( "I personally would use a slightly different path which keeps the numbers I need to work with a bit smaller -- allowing a mental solution if your mental arithmetic is good.<br><BR>\n" );
document.write( "Twice as much invested at 5% as at 8% means an average interest percentage rate of (2(5)+8)/3=18/3=6.  $6498 interest at 6% means the total amount invested was $6498/.06 = $108,300.<br><BR>\n" );
document.write( "The amount invested at 8% was one-third of that, which is $36,100; the amount invested at 5% was twice that, or $72,200.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );