a local 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

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03-06-2018
Mathematics

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a local 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

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mathstudent55 mathstudent55 · Answer 1 · 2018-06-03T23:30:43+02:00

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

Answer: 350 hamburgers were sold on Monday.