A local Hamburger shop sold a combined total of 561 Hamburgers and cheeseburgers on Sunday. There were 61 more cheeseburgers sold than Hamburgers were sold on Sunday?

Let h = hamburgers.

h + h + 61 = 561

2h = 500

h = 250

To solve this problem, we can use a system of equations. Let's break down the information given:

Let's say the number of hamburgers sold on Sunday is "x".
The number of cheeseburgers sold on Sunday would be "x + 61", as there were 61 more cheeseburgers sold than hamburgers.

According to the problem, the combined total sold is 561. So, the equation would be:

x + (x + 61) = 561

Now we can solve this equation to find the value of "x".

2x + 61 = 561 (combine like terms by adding x and 61 to both sides)
2x = 500 (subtract 61 from both sides)
x = 250 (divide both sides by 2)

Therefore, the number of hamburgers sold on Sunday was 250 and the number of cheeseburgers sold was 250 + 61 = 311.