A local shop sold 499 hamburgers and cheese burgers. There were 51 fewer cheese burgers sold. How ma

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A local shop sold 499 hamburgers and cheese burgers. There were 51 fewer cheese burgers sold. How many hamburgers were sold?

Let h = number of hamburgers sold and c be the number of cheeseburgers sold.

We have two equations:

(1) c = h - 51
(2) c + h = 499

Substitute (1) into (2)
h - 51 + h = 499

Combine like terms
2h - 51 = 499

Add 51 to both sides
2h = 550

Divide each side by 2 to isolate h
h = 275