Answer: 350 hamburgers and 278 cheeseburgers
Explanation:
Let's denote the number of hamburgers sold on Tuesday as 'H' and the number of cheeseburgers sold as 'C'.
According to the information given, we have two pieces of information:
The total number of hamburgers and cheeseburgers sold on Tuesday is 628:
H + C = 628
There were 72 fewer cheeseburgers sold than hamburgers:
C = H - 72
We can solve this system of equations to find the values of H and C.
Substituting the second equation into the first equation, we get:
H + (H - 72) = 628
2H - 72 = 628
2H = 628 + 72
2H = 700
H = 350
Now we can substitute the value of H back into the second equation to find C:
C = H - 72
C = 350 - 72
C = 278
Therefore, on Tuesday, 350 hamburgers and 278 cheeseburgers were sold.