document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125428>Question 1125428</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You wish to invest $1600 over one year in two accounts paying 5% and 6% annually. How much should you invest in each to earn $89?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #741759 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=741759\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The algebraic solution method for this kind of problem is fine.<br><BR>\n" );
document.write( "But if you are working a lot of these problems, here is a method that will get you to the answer faster and with much less work.  (I am good at mental arithmetic; solving this problem takes me about 5 seconds by this method.)<br><BR>\n" );
document.write( "(1) The interest at 5% would be $80; the interest at 6% would be $96.<BR>\n" );
document.write( "(2) Since $89 is 9/16 of the way from $80 to $96, 9/16 of the money should be invested at the higher rate.<BR>\n" );
document.write( "(3) 9/16 of $1600 is $900.<br><BR>\n" );
document.write( "ANSWER: $900 at 6%; $700 at 5%. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );