Final answer:
To determine the number of hamburgers sold, we created two equations representing the relationship between the number of hamburgers and cheeseburgers and solved for H, finding that 225 hamburgers were sold.
Step-by-step explanation:
The student has asked how many hamburgers were sold on Saturday when a hamburger shop sold 519 hamburgers and cheeseburgers combined, with there being 69 more cheeseburgers sold than hamburgers.
First, we can let H represent the number of hamburgers sold and C represent the number of cheeseburgers sold. We are told that:
Substituting the first equation into the second, we get:
Combining like terms, we have:
Subtracting 69 from both sides of the equation gives us:
Dividing both sides by 2 to solve for H gives us:
Therefore, the shop sold 225 hamburgers on Saturday.