Alocal hamburger shop sold a combined total of 445 hamburgers and cheeseburgers on tuesday. there were 55 fewer cheeseburgers sold than hamburgers. how many hamburgers were sold on tuesday?

Let x represent the number of hamburgers sold, and (x - 55) represent the number of cheeseburgers sold.

Set up an equation:
hamburgers + cheeseburgers = total number of burgers

x + (x-55) = 445

solve for x: 
2x - 55 = 445

2x = 445 + 55

2x = 500

x = 500÷2

x = 250

This means 250 hamburgers were sold on Tuesday.

Hope this helps!

-Jabba