A local hamburger shop sold a combined total of 649 hamburgers and cheeseburgers on Friday. There were 51 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday?

350

Step-by-step explanation:

Let the cheeseburger be represented by a.

Since there were 51 fewer cheeseburgers sold than hamburgers. This means that hamburgers will be:

= a + 51.

Since the local hamburger shop sold a combined total of 649 hamburgers and cheeseburgers. This will be:

a + a + 51 = 649

2a + 51 = 649

2a = 649 - 51

2a = 598

a = 598/2

a = 299

299 cheeseburger were sold

Therefore, the number of hamburger sold will be:

= 649 - 299

= 350