document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=178240>Question 178240</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this word problem\r<BR>\n" );
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document.write( "High-risk funds. Of the $50,000 that Natasha pocketed<BR>\n" );
document.write( "on her last real estate deal, $20,000 went to charity. She<BR>\n" );
document.write( "invested part of the remainder in Dreyfus New Leaders Fund<BR>\n" );
document.write( "with an annual yield of 16% and the rest in Templeton<BR>\n" );
document.write( "Growth Fund with an annual yield of 25%. If she made<BR>\n" );
document.write( "$6060 on these investments in 1 year, then how much did she<BR>\n" );
document.write( "invest in each fund? </SPAN>\n" );
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document.write( "High-risk funds. Of the $50,000 that Natasha pocketed<BR>\n" );
document.write( "on her last real estate deal, $20,000 went to charity. She<BR>\n" );
document.write( "invested part of the remainder in Dreyfus New Leaders Fund<BR>\n" );
document.write( "with an annual yield of 16% and the rest in Templeton<BR>\n" );
document.write( "Growth Fund with an annual yield of 25%. If she made<BR>\n" );
document.write( "$6060 on these investments in 1 year, then how much did she<BR>\n" );
document.write( "invest in each fund?<BR>\n" );
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document.write( "Ignore the \"filler material.\"  It doesn't matter that it's \"high risk.\"  It doesn't matter where she made the money, it's irrelevant where the $20,000 went.<BR>\n" );
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document.write( "She had $30,000 left that she invested at 2 rates.<BR>\n" );
document.write( "Call the amount in Dreyfus d<BR>\n" );
document.write( "Call the amount in Templeton t<BR>\n" );
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document.write( "d + t = 30000<BR>\n" );
document.write( "d*0.16 + t*0.25 = 6060 --> 16d + 25t = 606000 (no fractions)<BR>\n" );
document.write( "d + t = 30000 --> d = 30000 - t<BR>\n" );
document.write( "------------------ 2 eqns in 2 unknowns<BR>\n" );
document.write( "16d + 25t = 606000 <BR>\n" );
document.write( "d = 30000 - t<BR>\n" );
document.write( "Sub for d<BR>\n" );
document.write( "16*(30000-t) + 25t = 606000<BR>\n" );
document.write( "480000 - 16t + 25t = 606000<BR>\n" );
document.write( "9t = 126000<BR>\n" );
document.write( "t = $14,000<BR>\n" );
document.write( "d = $16,000\r<BR>\n" );
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document.write( " </SPAN>\n" );
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