Alocal hamburger shop sold a combined total of 600 hamburgers and cheeseburgers on thursday. there were 50 more cheeseburgers sold than hamburgers. how many hamburgers were sold on thursday?

Let t = the total number of hamburgers and cheeseburgers, c = the total number of cheeseburgers, and h = the total number of hamburgers.

t = c + h where t = 600
c = h + 50 

Use substitution to solve for h:

600=(h+50)+h 
600= 2h+50
600-50=2h
550=2h
550/2=2h/2 
h=275

therefore, 275 hamburgers were sold on thursday.