document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190296>Question 1190296</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Phyllis invested  <BR>\n" );
document.write( "56000<BR>\n" );
document.write( "  dollars, a portion earning a simple interest rate of  <BR>\n" );
document.write( "5<BR>\n" );
document.write( "  percent per year and the rest earning a rate of  <BR>\n" );
document.write( "6<BR>\n" );
document.write( "  percent per year. After one year the total interest earned on these investments was  <BR>\n" );
document.write( "3200<BR>\n" );
document.write( "  dollars. How much money did she invest at each rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821928 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=821928\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A quick, informal solution method, if formal algebra is not required....<br><BR>\n" );
document.write( "$56000 all invested at 5% would yield $2800 interest; all invested at 6% would yield $3360 interest.  The ratio in which the total was split between the two investments is determined by where the actual interest of $3200 lies between $2800 and $3360.<br><BR>\n" );
document.write( "(1) Look at the three interest amounts 2800, 3200, and 3360 on a number line and observe/calculate that 3200 is 400/560 = 5/7 of the way from 2800 to 3360.<BR>\n" );
document.write( "(2) That means 5/7 of the total was invested at the higher rate.<br><BR>\n" );
document.write( "ANSWER: 5/7 of the total $56,000, or $40,000, was invested at 6%; the other $16,000 at 5%.<br><BR>\n" );
document.write( "CHECK: .06(40,000)+.05(16,000) = 2400+800 = 3200<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );