Question

A local hamburger shop sold a combined total of 762 hamburgers and cheeseburgers on Friday. There were 62 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday?

Answer 1

Explanation:

We have to come up with a system of equations in order to solve this because we have 2 unknowns: hamburgers and cheeseburgers. h is hamburgers and c is cheeseburgers. We know that both of these together totaled 762, so

h + c = 762

We also know that more cheeseburgers were sold than were hamburgers. 62 more cheeseburgers, to be exact. So the second equation is

c = h + 62.

Now we will sub that second equation into the first one and solve for h:

h + c = 762 becomes

h + h + 62 = 762 and

2h + 62 = 762 and

2h = 700 so

h = 350. So 350 hamburgers were sold and 762 - 350 is the number of cheeseburgers. 412 to be exact.