A trustee invested a total of $100,000, more than half of wh

A trustee invested a total of $100,000, more than half of which was invested at 6 percent simple interest and the rest of which was invested at 8 percent simple annual interest. What amount was invested at 8 percent?

(1) The total annual income on the investment was $6,800
(2) If twice as much had been invested at 8 percent and the rest at 6 percent, the total annual income on the investment would have been increased by $800