document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=211056>Question 211056</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Of the $50,000 that Natasha pocketed on her last real estate deal, $20,000 went to charity. She invested part of the remainder in leaders Fund with an annual yield of 16% and the rest in another Fund with an annual yield of 25%. If she made $6060 on these investments in 1 year, then how much did she invest in each fund? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159467 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=159467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Natasha invested $30,000 ($50,000-$20,000). Let x = the amount she invested at 16%, then ($30,000-x) would be the amount she invested at 25%. The interest earned on these two amounts can be expressed as:<BR>\n" );
document.write( "0.16x+0.25($30,000-x) = $6,060 Simplify and solve for x.<BR>\n" );
document.write( "0.16x+7500-0.25x = 6060 Combine the x-terms.<BR>\n" );
document.write( "-0.09x+7500 = 6060 Subtract 7500 from both sides.<BR>\n" );
document.write( "-0.09x = -1440 Divide both sides by -0.09<BR>\n" );
document.write( "x = $16,000 and...<BR>\n" );
document.write( "$30,000-x = $14,000<BR>\n" );
document.write( "Natasha invested $16,000 in Leaders Fund at 16% interest and $14,000 in another Fund at 25% annual interest. </SPAN>\n" );
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