document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196208>Question 1196208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mai invested her savings in two investment funds. The $8000 that she invested in Fund A returned a 1% profit. The amount that she invested in Fund B returned a 5% profit. How much did she invest in Fund B, if both funds together returned a 4% profit? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #828967 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</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=828967\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The solution from the other tutor shows a typical formal algebraic method for solving the problem.<br><BR>\n" );
document.write( "Here is a less formal method that can be used to solve any 2-part \"mixture\" problem like this.  This method is especially quick and easy if the numbers are \"nice\".<br><BR>\n" );
document.write( "The two funds separately returned profits of 1% and 5%; the overall profit was 4%.<br><BR>\n" );
document.write( "That 4% is 3/4 of the way from 1% to 5%.  (look at the three numbers 1, 4, and 5 on a number line to see that, if it helps.)<br><BR>\n" );
document.write( "That means 3/4 of the total was invested at the higher rate.<br><BR>\n" );
document.write( "Since 3/4 was invested at the higher rate, the $8000 invested at the lower rate was 1/4 of the total; that means 3/4 of the total (the amount invested at the higher rate) was 3($8000) = $24,000.<br><BR>\n" );
document.write( "ANSWER: $24,000<br><BR>\n" );
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