document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1139820>Question 1139820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> $100,000 is invested in stocks and bonds. bonds earn 4%, and stocks earn 7%. if the combination of investments earns 6.2%, how much was invested each in bonds and stock?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #760313 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=760313\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Traditional algebraic method for solving \"mixture\" problems like this....<br><BR>\n" );
document.write( "x = amount at 4%<BR>\n" );
document.write( "100000-x = amount at 7%<br><BR>\n" );
document.write( "The total earnings was 6.2% of the $100000:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.04%28x%29%2B.07%28100000-x%29+=+.062%28100000%29 ALIGN=MIDDLE  ALT=\".04%28x%29%2B.07%28100000-x%29+=+.062%28100000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "A simple linear equation; complicated a bit by the decimals.  But the process for solving the equation from there is straightforward.<br><BR>\n" );
document.write( "Here is a much easier way to solve this kind of problem, if you understand it....<br><BR>\n" );
document.write( "(1) Find where the 6.2% earning rate lies between 4% and 7%.<br><BR>\n" );
document.write( "7-4 = 3; 6.2-4 = 2.2; 2.2/3 = 22/30 = 11/15.<br><BR>\n" );
document.write( "(2) 6.2% is 11/15 of the way from 4% to 7%; that means 11/15 of the total was invested at the higher rate.<br><BR>\n" );
document.write( "ANSWER: 11/15 of the $100,000 in stocks; 4/15 of the $100,000 in bonds.<br><BR>\n" );
document.write( "You can find the actual numbers if you need to; the problem is not very well formulated, because the two amounts turn out not to be whole numbers of dollars or even whole numbers of cents. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );