A local hamburger shop sold a combined total of 500 hamburgers and cheeseburgers on Tuesday. There were 50 fewer cheeseburgers sold than hamburgers.

How many hamburgers were sold on Tuesday?

Answer: 275

Step-by-step explanation:

Let the total number of hamburger be x and the total number of cheeseburgers be y. That is

x + y = 500 ... equation 1

Since there were 50 fewer cheeseburgers sold than hamburgers, this means that the number of hamburgers sold is more than cheeseburgers by 50, that is

x - y = 50 ... equation 2

solving the resulting linear equation by substitution method;

From equation 2, make x the subject of the formula, that is

x = 50 + y ... equation 3

substitute equation 3 into equation 1, we have

50 + y + y = 500

50 + 2y = 500

2y = 500 - 50

2y = 450

y = 450/2

y = 225

substitute y = 225 into equation 3 to find the value of x. we have

x = 50 + y

x = 50 + 225

x = 275

Therefore 275 hamburgers were sold