document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1142768>Question 1142768</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	<BR>\n" );
document.write( "Suppose that you received an unexpected inheritance of ​$36,000. You have decided to invest the money by placing some of the money in stocks that pay 4.4​% and the rest in bonds that pay 6​%. How much should you place in each investment in order to earn 5​%, or ​$1800 ​annually? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #763502 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13206)</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=763502\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is an alternative method for solving \"mixture\" problems like this that will get you to the answer much faster, and with far less effort, than the traditional algebraic method shown by the other tutor.<br><BR>\n" );
document.write( "(1) The overall percent return, 5%, is 3/8 of the way from 4.4% to 6%. (4.4 to 6 is a difference of 1.6; 4.4 to 5 is a difference of .6; .6/1.6 = 6/16 = 3/8).<br><BR>\n" );
document.write( "(2) That means 3/8 of the money should be invested at the higher rate.<br><BR>\n" );
document.write( "ANSWER: 3/8 of $36,000, or $13,500, at 6%; the other $22,500 at 4.4%.<br><BR>\n" );
document.write( "CHECK: .06(13,500)+.044(22,500) = 810+990 = 1800 </SPAN>\n" );
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