The controller $($money manager$)$ for a small company puts some money in a bank account

paying $4\%$ per year. He uses some additional money, amounting to $\frac{1}{3}$ the amount placed in

the bank, to buy bonds paying $5\%$ per year. With the balance of the funds, he buys a $8\%$

certificate of deposit. The first year the investments bring a return of $$680.$ If the total of the

investments is $$10,000$ how much is invested at each rate?

The amount in the bank account is $

the amount in the bonds is $

and the amount in

the certificate of deposit is $