document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1185811>Question 1185811</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bank loaned out ​$14,000​, part of it at the rate of 6% per year and the rest at 16% per year. If the interest received in one year totaled ​1500$​, how much was loaned at 6% </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #816664 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=816664\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A standard \"mixture\" problem....<br><BR>\n" );
document.write( "First a standard setup for solving the problem using algebra.<br><BR>\n" );
document.write( "x dollars at 6%, plus (14000-x) dollars at 16%, yields $1500 interest.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.06%28x%29%2B.16%2814000-x%29=1500 ALIGN=MIDDLE  ALT=\".06%28x%29%2B.16%2814000-x%29=1500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solve using basic algebra, although the numbers are a bit messy.<br><BR>\n" );
document.write( "And now a quick and easy way to solve any 2-part mixture problem like this, if a formal algebraic solution is not required and your mental math skills are good.<br><BR>\n" );
document.write( "$14,000 all invested at 6% would yield $840 interest; all at 16% would yield $2240 interest; the actual interest was $1500.<br><BR>\n" );
document.write( "Picture the three interest amounts -- 840, 1500, and 2240 -- on a number line and observe/calculate that 1500 is 660/1400 of the way from 840 to 2240.  That means 660/1400 of the total was loaned at the higher rate.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14000%28660%2F1400%29=6600 ALIGN=MIDDLE  ALT=\"14000%28660%2F1400%29=6600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: $6600 was loaned at 16%; the other $7400 at 6%.<br><BR>\n" );
document.write( "CHECK: .16(6600)+.06(7400)=1056+444=1500<br><BR>\n" );
document.write( " </SPAN>\n" );
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