document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1146729>Question 1146729</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A total of <BR>\n" );
document.write( "$9000<BR>\n" );
document.write( "$⁢9000<BR>\n" );
document.write( "is invested: part at <BR>\n" );
document.write( "6%<BR>\n" );
document.write( "6%<BR>\n" );
document.write( "and the remainder at <BR>\n" );
document.write( "11%<BR>\n" );
document.write( "11%<BR>\n" );
document.write( ". How much is invested at each rate if the annual interest is <BR>\n" );
document.write( "$600<BR>\n" );
document.write( "$⁢600<BR>\n" );
document.write( "?\r<BR>\n" );
document.write( "\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 #768000 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=768000\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(1) A setup for a traditional algebraic solution....<br><BR>\n" );
document.write( "x amount at 6%, plus ($9000-x) at 11%, yields $600 interest:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.06%28x%29%2B.11%289000-x%29+=+600 ALIGN=MIDDLE  ALT=\".06%28x%29%2B.11%289000-x%29+=+600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solving involves only basic algebra; but the decimals make the calculations a bit ugly.  I leave it to you to finish the solution by that path.<br><BR>\n" );
document.write( "Here is a faster way to the answer for a \"mixture\" problem like this.<br><BR>\n" );
document.write( "$9000 all at 6% --> $540 interest<BR>\n" );
document.write( "$9000 mixed --> $600 interest<BR>\n" );
document.write( "$9000 all at 11% --> $990 interest<br><BR>\n" );
document.write( "Look where the actual interest of $600 lies between $540 and $990:<br><BR>\n" );
document.write( "540 to 990 = 450; 540 to 600 = 60; 60/450 = 2/15.<br><BR>\n" );
document.write( "$600 is 2/15 of the way from $540 to $990; that means 2/15 of the total is invested at the higher rate.<br><BR>\n" );
document.write( "ANSWER: 2/15 of the $9000, or $1200, at 11%; the other $7800 at 6%.<br><BR>\n" );
document.write( "CHECK: .06(7800)+.11(1200) = 468+132 = 600 </SPAN>\n" );
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