Alocal hamburger shop sold a combined total of 770 burgers and cheeseburgers on monday there were 70 more cheeseburger sold than hamburgers how many hamburgers were sold on monday

Let the number of hamburgers = h

Let the number of cheeseburgers = c

Now we translate the given information into equations.

"combined total of 770 [ham]burgers and cheeseburgers"
h + c = 770

"there were 70 more cheeseburger sold than hamburgers"

c = h + 70


Our system of equations is


h + c = 770
c = h + 70

The second equation is already solved for c, so we replace c of the first equation with h + 70.
h + h + 70 = 770
2h + 70 = 770
2h = 700
h = 350

  350 hamburgers were sold on Monday.

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