document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163062>Question 1163062</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Isabel invested her savings in two investment funds. The <BR>\n" );
document.write( "$6000<BR>\n" );
document.write( " that she invested in Fund A returned a <BR>\n" );
document.write( "4%<BR>\n" );
document.write( " profit. The amount that she invested in Fund B returned a <BR>\n" );
document.write( "1%<BR>\n" );
document.write( " profit. How much did she invest in Fund B, if both funds together returned a <BR>\n" );
document.write( "2%<BR>\n" );
document.write( " profit?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #787017 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=787017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A formal algebraic setup for solving the problem....<br><BR>\n" );
document.write( "x = amount at 4%<BR>\n" );
document.write( "6000-x = amount at 1%<br><BR>\n" );
document.write( "The average return on the $6000 was 2%:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.04%28x%29%2B.01%286000-x%29+=+.02%286000%29 ALIGN=MIDDLE  ALT=\".04%28x%29%2B.01%286000-x%29+=+.02%286000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solve using basic algebra (I leave that to you)....<br><BR>\n" );
document.write( "A quick and easy solution method, using logical reasoning and a bit of mental arithmetic....<br><BR>\n" );
document.write( "The average return of 2% is \"twice as close to 1% as it is to 4%\".  That means the amount invested at 1% was twice the amount invested at 4%.<br><BR>\n" );
document.write( "ANSWER: $4000 at 1%; $2000 at 4%<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( ".01(4000)+.04(2000) = 40+80 = 120<BR>\n" );
document.write( ".02(6000) = 120<br><BR>\n" );
document.write( "Or here is a variation of this easy method, thinking a bit differently....<br><BR>\n" );
document.write( "The average return of 2% is 1/3 of the way from 1% to 4% (picture the three percentages on a number line). Therefore, 1/3 of the total was invested at 4%.<br><BR>\n" );
document.write( "ANSWER: 1/3 of the total $6000, or $2000, at 4%; the rest at 1%.<br><BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );