document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161816>Question 1161816</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cabin Financial Service Group recommends that a client purchase for $10,000 a corporate bond that earns 6% annual simple interest. How much additional money must be placed in an investment that earns a simple interest rate of 4.5% so that the total annual interest earned from the two investments is 5% of the total investment?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #785448 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=785448\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is a method for solving \"mixture\" problems like this using logical reasoning instead of formal algebra.<br><BR>\n" );
document.write( "If you understand this method, it will get you to the answer much faster and with far less work than a formal algebraic solution.<br><BR>\n" );
document.write( "(1) The target average interest rate of 5% is \"twice as close to 4.5% as it is to 6%\".<br><BR>\n" );
document.write( "(If it's hard for you to see that, imagine the three numbers 4.5, 5, and 6 on a number line.  5 is twice as close to 4.5 as it is to 6.)<br><BR>\n" );
document.write( "(2) That means the amount to be invested at 4.5% is twice the amount invested at 6%.<br><BR>\n" );
document.write( "ANSWER: twice $10,000, which is $20,000.<br><BR>\n" );
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