document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=941783>Question 941783</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Diane invested her savings in two investment funds. The $8000 that she invested in Fund A returned a 3% profit. The amount that she invested in Fund B returned a 10% profit. How much did she invest in Fund B, if both funds together returned a 8% profit? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #574116 by </B><A HREF=/tutors/aboutme.mpl?userid=srinivas.g><B>srinivas.g(540)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=srinivas.g><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=srinivas.g><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=574116\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> profit on $ 8000  @3% = 3 % of 8000<BR>\n" );
document.write( " = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F100%29%2A8000 ALIGN=MIDDLE  ALT=\"%283%2F100%29%2A8000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A80 ALIGN=MIDDLE  ALT=\"3%2A80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " =240<BR>\n" );
document.write( "let x be the amount invested in Fund B @ 10 %<BR>\n" );
document.write( " profit  on Fund B  = 10 % of x<BR>\n" );
document.write( "  =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2810%2F100%29%2Ax ALIGN=MIDDLE  ALT=\"+%2810%2F100%29%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " =0.1x<BR>\n" );
document.write( "total amount invested  = 8000+x<BR>\n" );
document.write( " total profit on (8000+x) @ 8%  = 8 % of (8000+x)<BR>\n" );
document.write( " =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%288%2F100%29%2A%288000%2Bx%29 ALIGN=MIDDLE  ALT=\"+%288%2F100%29%2A%288000%2Bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.08%288000%2Bx%29 ALIGN=MIDDLE  ALT=\"0.08%288000%2Bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " =0.08*8000+0.08*x<BR>\n" );
document.write( "=640+0.08x<BR>\n" );
document.write( " But total profit  = profit on fund A + profit on Fund B<BR>\n" );
document.write( " 640+0.08 x= 240+0.1 x<BR>\n" );
document.write( "   move 240 to the left<BR>\n" );
document.write( "  640+0.08x-240 =0.1 x<BR>\n" );
document.write( "   400+0.08 x= 0.1 x<BR>\n" );
document.write( "  move 0.08x to the right<BR>\n" );
document.write( "  400 = =0.1x-0.08x<BR>\n" );
document.write( " 400 = x(0.1-0.08)<BR>\n" );
document.write( " 400 =x(0.02)<BR>\n" );
document.write( "  divide with 0.02 on both sides<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400%2F0.02+=+0.02x%2F0.02 ALIGN=MIDDLE  ALT=\"400%2F0.02+=+0.02x%2F0.02\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " 20,000 = x<BR>\n" );
document.write( "Result: Amount invested on Fund B  =  $20,000 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );