A local hamburger shop sold a total of 700 hamburgers and cheeseburgers. 50 fewer cheeseburgers were sold than hamburgers. How many hamburgers were sold?

Question

A local hamburger shop sold a combined total of 700 hamburgers and cheeseburgers on Wednesday. There were 50 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Wednesday?

Answer 1

h = number hamburgers sold

c = number cheeseburgers sold

 

700 hamburgers and cheeseburgers were sold:

h + c = 700   {equation 1}

 

50 fewer cheeseburgers were sold than hamburgers:

c = h - 50     {equation 2}

 

Replace c with h-50 in equation 1 to solve for h:

h + (h-50) = 700

2h - 50 = 700

2h = 750

h = 375 hamburgers sold