document.write( "Question 178240: please help me solve this word problem\r
\n" ); document.write( "\n" ); document.write( "High-risk funds. Of the $50,000 that Natasha pocketed
\n" ); document.write( "on her last real estate deal, $20,000 went to charity. She
\n" ); document.write( "invested part of the remainder in Dreyfus New Leaders Fund
\n" ); document.write( "with an annual yield of 16% and the rest in Templeton
\n" ); document.write( "Growth Fund with an annual yield of 25%. If she made
\n" ); document.write( "$6060 on these investments in 1 year, then how much did she
\n" ); document.write( "invest in each fund?
\n" ); document.write( "

Algebra.Com's Answer #133215 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"50000+-+20000+=+30000\" is the amount
\n" ); document.write( "she had to invest
\n" ); document.write( "Let \"d\" = amount invested in Dreyfus
\n" ); document.write( "Let \"t\"= amount invested in Templeton
\n" ); document.write( "Given:
\n" ); document.write( "(1) \"d+%2B+t+=+30000\"
\n" ); document.write( "\".16d\"= annual yield from Dreyfus
\n" ); document.write( "\".25t\"= annual yield from Templeton
\n" ); document.write( "(2) \".16d+%2B+.25t+=+6060\"
\n" ); document.write( "Multiply both sides of (1) by \".25\"
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "\".25d+%2B+.25t+=+7500\"
\n" ); document.write( "\"-.16d+-+.25t+=+-6060\"
\n" ); document.write( "\".09d+=+1440\"
\n" ); document.write( "\"d+=+16000\"
\n" ); document.write( "And, since
\n" ); document.write( "(1) \"d+%2B+t+=+30000\"
\n" ); document.write( "\"16000+%2B+t+=+30000\"
\n" ); document.write( "\"t+=+14000\"
\n" ); document.write( "She invested $16000 in Dreyfus and $14000 in Templeton
\n" ); document.write( "check:
\n" ); document.write( "\".16d+%2B+.25t+=+6060\"
\n" ); document.write( "\"2560+%2B+3500+=+6060\"
\n" ); document.write( "\"6060+=+6060\"
\n" ); document.write( "OK
\n" ); document.write( "
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