document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1144470>Question 1144470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Fred received an inheritance of 13,500. He wishes to divide the amount between investments at 15% and 12% to receive an average return on both investments of 13%. How much should he invest at each rate?\r<BR>\n" );
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document.write( "could someone please also explain how to set the problem up </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #765606 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13258)</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=765606\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is a very simple way to solve this kind of problem without algebra, by looking at how far the average return percentage is between the return percentages from the individual investments.<br><BR>\n" );
document.write( "(1) 13% is 1/3 of the way from 12% to 15%. (If it helps, picture the three percentages 12, 13, and 15, on a number line....)<BR>\n" );
document.write( "(2) Therefore, 1/3 of the money should be invested at the higher rate.<br><BR>\n" );
document.write( "ANSWER: 1/3 of the $13,500, or $4500, at 15%; the other $9000 at 12%. </SPAN>\n" );
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