Suppose Katy borrowed some amount of money for 59 weeks and Anastasia borrowed the same amount. Katy's loan used the simple interest model with an annual rate of 3.8% while Anastasia's loan used the simple discount model with an annual discount of 6.1%. At the end of their respective terms, Katy's maturity value was $5,502 while Anastasia's was $6,057. How many weeks was Anastasia's loan for? Round your answer to the nearest week