Final answer:
To find the number of hamburgers sold, set up an equation based on the given information. Solve the equation to determine the number of hamburgers sold.
Step-by-step explanation:
Let's represent the number of hamburgers sold as x. Given that there were 74 more cheeseburgers sold than hamburgers, we can represent the number of cheeseburgers sold as x + 74.
According to the problem, the total number of hamburgers and cheeseburgers sold is 574. So, we can set up the following equation:
x + (x + 74) = 574
Combining like terms, we get:
2x + 74 = 574
Now, we can solve for x by subtracting 74 from both sides:
2x = 500
And then dividing both sides by 2:
x = 250
Therefore, 250 hamburgers were sold on Saturday.