document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1131893>Question 1131893</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Heather has a total of $5000 to invest. She puts<BR>\n" );
document.write( "part of it in an account paying 5%/year interest and the<BR>\n" );
document.write( "rest in a GIC paying 7.2% interest. If she has $349 in<BR>\n" );
document.write( "simple interest at the end of the year, how much was<BR>\n" );
document.write( "invested at each rate?\r<BR>\n" );
document.write( "\n" );
document.write( "what would the interest rate be at each percentage? Thank You!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #748620 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13195)</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=748620\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A setup for the traditional algebraic method of solving this kind of \"mixture\" problem....<br><BR>\n" );
document.write( "Let x = amount invested at 5%<BR>\n" );
document.write( "Then (5000-x) = amount invested at 7.2%<br><BR>\n" );
document.write( "The total interest was $349:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.05%28x%29%2B.072%285000-x%29+=+349 ALIGN=MIDDLE  ALT=\".05%28x%29%2B.072%285000-x%29+=+349\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "I'll leave it to you to solve the equation to find the answer; the decimals might make things a bit ugly.<br><BR>\n" );
document.write( "Here is a completely different way of solving this kind of problem -- much faster and easier than writing and solving an algebraic equation, if you understand the method and can do a little mental arithmetic.<br><BR>\n" );
document.write( "(1) $349 interest on a total investment of $5000 makes the overall interest rate<br>.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=349%2F5000+=+.0698 ALIGN=MIDDLE  ALT=\"349%2F5000+=+.0698\"   DISABLED_style= \"max-width:90%; height:auto;\" > or 6.98%<br><BR>\n" );
document.write( "Comparing that interest rate to the individual rates of 5% and 7.2%, 6.98% is 9/10 of the way from 5% to 7.2%. (7.2-5 = 2.2; 6.98-5 = 1.98; 1.98/2.2 = 9/10).<br><BR>\n" );
document.write( "That means 9/10 of the total was invested at the higher rate.<br><BR>\n" );
document.write( "ANSWER: $4500 at 7.2%, $500 at 5%. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );