document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199654>Question 1199654</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An investor invested a total of ​$800 in two mutual funds. One fund earned a 7​% profit while the other earned a 2% profit. If the​ investor's total profit was ​$26​, how much was invested in each mutual​ fund? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833619 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=833619\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is an quick and easy informal method for solving any 2-part \"mixture\" problem like this.<br><BR>\n" );
document.write( "(1) All $800 invested at 2% would earn $16 interest; all at 7% would earn $56 interest.<BR>\n" );
document.write( "(2) The actual interest, $26, was 10/40 = 1/4 of the way from $16 to $56.  ($16 to $56 is a difference of 40; $16 to $26 is a difference of 10; 10/40 = 1/4.)<BR>\n" );
document.write( "(3) That means 1/4 of the total was invested at the higher rate.<br><BR>\n" );
document.write( "1/4 of $800 is $200; so<br><BR>\n" );
document.write( "ANSWERS: $200 was invested at 7% and the other $600 at 2%.<br><BR>\n" );
document.write( "CHECK: .07(200)+.02(600) = 14+12 = 26<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );