On Saturday, a local hamburger shop sold a combined total of 333 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Saturday?
Let's say the number of hamburgers sold is x.
The number of cheeseburgers sold is 2x.
The total number of hamburgers and cheeseburgers sold is x+2x = 3x = 333.
Thus, the number of hamburgers sold is x = 333/3 = <<333/3=111>>111. Answer: \boxed{111}.