A local hamburger shop so the combined total of 521 hamburgers and cheeseburgers on Tuesday there were 71 more cheeseburgers so then hamburgers how many hamburgers were sold on Tuesday
Let's say the number of hamburgers sold on Tuesday is h.
If the combined total of hamburgers and cheeseburgers is 521, then the number of cheeseburgers sold on Tuesday is h + 71 (since there were 71 more cheeseburgers than hamburgers).
So the total number of hamburgers and cheeseburgers sold on Tuesday is h + (h + 71) = 2h + 71 = 521.
Hence, 2h = 521 - 71 = 450.
Therefore, the number of hamburgers sold on Tuesday is h = 450/2 = 225. Answer: \boxed{225}.