document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204040>Question 1204040</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Chris invested his savings in two investment funds. The $4000 that he invested in Fund A returned a 2% profit. The amount that he invested in Fund B returned a 7% profit. How much did he invest in Fund B, if both funds together returned a 5% profit? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #840049 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=840049\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Tutor @josgarithmetic did not work the problem that was given....<br><BR>\n" );
document.write( "Tutor @ikleyn provided a response showing a typical formal algebraic solution.<br><BR>\n" );
document.write( "This problem can be viewed as a \"mixture\" problem, in which we are \"mixing\" an investment that returns a 2% profit with another that returns a 7% profit, yielding an average profit of 5%.<br><BR>\n" );
document.write( "Here is an unorthodox informal method for solving any 2-part mixture problem like this.<br><BR>\n" );
document.write( "Consider the three percentages (on a number line, if it helps) -- 2, 5, and 7 -- and observe/calculate that 5 is 3/5 of the way from 2 to 7.<br><BR>\n" );
document.write( "That means 3/5 of the \"mixture\" is the money invested in the fund that returned the 7% profit.  That \"3/5\" fraction means the money was invested in the two funds in the ratio 3:2, with the larger portion in the fund that returned 7% profit.<br><BR>\n" );
document.write( "Since $4000 was invested in the fund that returned a 2% profit, the amount invested in the fund that returned 7% profit can be solved using a proportion:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2=x%2F4000 ALIGN=MIDDLE  ALT=\"3%2F2=x%2F4000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6000 ALIGN=MIDDLE  ALT=\"x=6000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: $6000 was invested in fund B<br><BR>\n" );
document.write( "All the words of explanation make this sound like a long process, but the actual calculations are quick and easy:<br><BR>\n" );
document.write( "5% is 3/5 of the way from 2% to 7%<BR>\n" );
document.write( "The two amounts invested are in the ratio 3:2<BR>\n" );
document.write( "The smaller amount is $4000, so the larger amount is $6000<br><BR>\n" );
document.write( "ANSWER: $6000<br><BR>\n" );
document.write( " </SPAN>\n" );
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