document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135652>Question 1135652</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Anna invested a total of $10,000 in Funds A and B. The amount in Fund A earned an interest of 4% per annum and the amount in Fund B earned an interest of 5% per annum. If the total interest earned from both these funds at the end of one year was $470, how much did she invest in each fund?<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 #753319 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=753319\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is a quick and easy alternative to the traditional algebraic method for solving mixture problems like this.<br><BR>\n" );
document.write( "(1) $470 interest on $10,000 is an interest rate of 4.7%.<br><BR>\n" );
document.write( "(2) 4.7% is 7/10 of the way from 4% to 5%.  (It might help you see what that says if you think of the three percentages on a number line.)<br><BR>\n" );
document.write( "(3) Therefore, 7/10 of the $10,000, or $7,000, was invested at the higher rate.<br><BR>\n" );
document.write( "ANSWER: $7000 at 5%; $3000 at 4%.<br><BR>\n" );
document.write( "CHECK: .05(7000)+.04(3000) = 350+120 = 470 </SPAN>\n" );
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