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?

Respuesta :

Answer:

250 hamburgers were sold on Sunday

Step-by-step 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:

[tex]h+c = 567\ \ \ \ Eqn\ 1\\c = h+67\ \ \ Eqn\ 2[/tex]

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

Putting c= h+67 in equation 1

[tex]h+h+67 = 567\\2h+67 = 567\\2h = 567-67\\2h = 500\\\frac{2h}{2} = \frac{500}{2}\\h = 250[/tex]

Putting h=250 in equation 2

[tex]c = 250+67 = 317[/tex]

Hence,

250 hamburgers were sold on Sunday