Question

A local hamburger shop sold a combined total of 450 hamburgers and cheeseburgers on Sunday. There were 50 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?

Answer 1

Answer: Let's use some algebra to solve the problem.

Let x be the number of hamburgers sold on Sunday. Then, the number of cheeseburgers sold is 50 less than x, which we can represent as (x - 50).

The total number of hamburgers and cheeseburgers sold is 450, so we can set up an equation:

x + (x - 50) = 450

Simplifying the left side:

2x - 50 = 450

Adding 50 to both sides:

2x = 500

Dividing by 2:

x = 250

So, 250 hamburgers were sold on Sunday.

To check, we can calculate the number of cheeseburgers sold:

x - 50 = 250 - 50 = 200

And indeed, the total number of hamburgers and cheeseburgers sold is 250 + 200 = 450.

Explanation: