Question

A local hamburger shop sold a combined total of 567 hamburgers and cheeseburgers on Sunday. There were 67 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?

Answer 1

250 hamburgers were sold on Sunday

Explanation:

Let h be the number of hamburgers and c be the number of cheese burgers, then according to given statements, the equations will be:

`h+c = 567\ \ \ \ Eqn\ 1\\c = h+67\ \ \ Eqn\ 2`

We can use the substitution method to solve the given system of equations.

Putting c= h+67 in equation 1

`h+h+67 = 567\\2h+67 = 567\\2h = 567-67\\2h = 500\\(2h)/(2) = (500)/(2)\\h = 250`

Putting h=250 in equation 2

`c = 250+67 = 317`

Hence,

250 hamburgers were sold on Sunday