Alocal hamburger shop sold a combined total of 692 hamburgers and cheeseburgers on tuesday. there were 58 fewer cheeseburgers sold than hamburgers. how many hamburgers were sold on tuesday?

Let h = number of hamburgers sold.
Let c = number of cheeseburgers sold.

h + c = 692
c = h - 58

Since the second equation is already solved for c, we can use the substitution method.

h + c = 692

h + h - 58 = 692

2h - 58 = 692

2h = 750

h = 375

375 hamburgers were sold.