SOLUTION: Ness won $1600000 in a state lottery. After paying 32% of her winnings to taxes, she invested some of the money into an account earning 4.8% interest and the rest into an account e

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Ness won $1600000 in a state lottery. After paying 32% of her winnings to taxes, she invested some of the money into an account earning 4.8% interest and the rest into an account e      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1091754: Ness won $1600000 in a state lottery. After paying 32% of her winnings to taxes, she invested some of the money into an account earning 4.8% interest and the rest into an account earning 4.7% interest. If the total interest earned was $51732, how much did she invest into each account?
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
1,600,000 x 0.68=1,088,000
Let n be the amount invested at 4.8%, and 1,088,000-n be the amount invested at 4.7%. Then:
0.048n+0.047(1,088,000-n)=51,732
Then, solve for n
☺☺☺☺