Alocal hamburger shop sold a combined total of 566 hamburgers and cheeseburgers on saturday. there were 66 more cheeseburgers sold than hamburgers. how many hamburgers were sold on saturday?

Let us assume the number of hamburgers sold = x
Then
The total number of cheeseburgers sold = x + 66
Total number of hamburgers and cheeseburgers sold = 566
So
x + x + 66 = 566
2x + 66 = 566
2x = 566 - 66
2x = 500
x = 500/2 
   = 250
From the above deduction, it can be easily concluded that the total number of hamburgers sold was 250. I hope that the procedure is clear enough for you to understand.