Betsy, a recent retiree, requires $$5,000$ per year in extra income. She has $$70,000$ to invest and can invest in B$-$rated bonds paying $13\%$ per year or in a certificate of deposit $($CD$)$ paying $3\%$ per year. How much money should be invested in each to realize exactly $$5,000$ in interest per year?

The amount of money invested at $13\%=$$

The amount of money invested at $3\%=$$