Final answer:
The local hamburger shop sold 118 hamburgers on Tuesday after setting up an equation based on the given ratio of cheeseburgers to hamburgers and solving for the number of hamburgers.
Step-by-step explanation:
The question asks us to find out how many hamburgers were sold on Tuesday at a local shop where a combined total of 354 hamburgers and cheeseburgers were sold, with the number of cheeseburgers being two times the number of hamburgers sold.
Let's define the number of hamburgers sold as H, and since the number of cheeseburgers sold is two times the number of hamburgers, we can write the number of cheeseburgers as 2H. The total number of burgers sold is the sum of hamburgers and cheeseburgers, so our equation is:
H + 2H = 354
Combining like terms, we get:
3H = 354
Next, we divide both sides of the equation by 3 to solve for H:
H = 354 / 3
H = 118
So, the local hamburger shop sold 118 hamburgers on Tuesday.