SOLUTION: Of the 50,00 that Natasha pocketed on her last real estate deal 20,000 went to charity. She invested part of the remainder in Dreyfus New Leaders Fund with an annual yield of 16%

Algebra ->  Expressions-with-variables -> SOLUTION: Of the 50,00 that Natasha pocketed on her last real estate deal 20,000 went to charity. She invested part of the remainder in Dreyfus New Leaders Fund with an annual yield of 16%       Log On


   



Question 145399: Of the 50,00 that Natasha pocketed on her last real estate deal 20,000 went to charity. She invested part of the remainder in Dreyfus New Leaders Fund with an annual yield of 16% and the rest in Templeton Growth Fund with a yield of 25%. If she made $6060 on these investments in one year then how much did she invest in each fund?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let d= amount invested in Dreyfus Fund
Let t= amount invested in Templeton Fund
50000+%2B+6060+=+20000+%2B+1.16d+%2B+1.25t
t+%2B+d+=+50000+-+20000
t+=+30000+-+d
Substitute this into the 1st equation
56060+=+20000+%2B+1.16d+%2B+1.25%2A%2830000+-+d%29
56060+-+20000+=+1.16d+%2B+37500+-+1.25d
36060+-+37500+=+-+.09d
-.09d+=+-1440
d+=+16000
t+=+30000+-+d
t+=+14000
She invested $16,000 in the Dreyfus Fund and $14,000 in the Templeton Fund
Check answer:
50000+%2B+6060+=+20000+%2B+1.16d+%2B+1.25t
50000+%2B+6060+=+20000+%2B+1.16%2A16000+%2B+1.25%2A14000
56060+-+20000+=+18560+%2B+17500
36060+=+36060
OK