Problem Page Question A local hamburger shop sold a combined total of 449 hamburgers and cheeseburgers on Monday. There were 51 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Monday?

250 hamburgers were sold on Monday

Step-by-step explanation:

Given the total amount of hamburgers and cheeseburgers sold by the shop on Monday = 449

Moreover, 51 fewer cheeseburgers when compared to hamburgers were sold on Monday

Let us assume that "x" hamburgers were sold by the shop on Monday

Therefore, the total no of cheeseburgers sold by the shop on Monday = x-51

(since 51 fewer cheeseburgers than hamburgers)

Combined they both amount to 449

⇒x+x-51 = 449

⇒2x = 449+51 (Moving 51 to the right side and putting the equation on either side in similar terms)

⇒2x=500

⇒X=250

Thus the number of hamburgers sold by the shop on Monday is 250