Final answer:
To determine the number of hamburgers sold, the total number of burgers sold is divided by the sum of the ratio given for hamburgers to cheeseburgers. As a result, the hamburger shop sold 149 hamburgers on Saturday.
Step-by-step explanation:
To find out how many hamburgers were sold on Saturday at the local hamburger shop, we can set up an equation. Let x represent the number of hamburgers sold, then the number of cheeseburgers sold would be 3x, since it's given that three times as many cheeseburgers as hamburgers were sold. Combined, they sold a total of 596 hamburgers and cheeseburgers. Therefore, we can write the equation as:
x + 3x = 596
Combining like terms, we get:
4x = 596
Divide both sides by 4 to find x:
x = ÷ 4
x = 149
So, the hamburger shop sold 149 hamburgers on Saturday.