On Sunday, a local hamburger shop sold a combined total of 378 hamburgers and cheeseburgers. The number of cheeseburgers was sold 2 times the number of hamburgers. How many hamburgers were sold?

The number of hamburgers sold was 126.

Step-by-step explanation:

Let h = number of hamburgers sold

let c = cheeseburgers sold

c+h = 378

c = 2h

Substitute c = 2h into c+h = 278

c+h = 378

2h+h = 378

Combine like terms

3h = 378

Divide by 3

3h/3 = 378/3

h = 126

The number of hamburgers sold was 126.