A local hamburger shop sold a combined total of 756 hamburgers and cheeseburgers on Thursday. There were 56 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?

Respuesta :

Answer:

350 hamburgers were sold on Thursday.

Step-by-step explanation:

       Let h be hamburgers and c be cheeseburgers.

       We can write a system of equations for this scenario:

A local hamburger shop sold a combined total of 756 hamburgers and cheeseburgers on Thursday.

       h + c = 756

There were 56 more cheeseburgers sold than hamburgers.

       c = h + 56

       Now, we can plug the values in and solve for h.

c = 756

c = 756 - h

       c = h + 56

       (756 - h) = h + 56

       756 = 2h + 56

       700 = 2h

  350 hamburgers were sold on Thursday.

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