Question

A local hamburger shop sold a combined total of 376 hamburger and cheeseburgers inn monday. There were 74 fewer cheeseburgers dold than hamburgers. How many hamburgers were sold on Monday

Answer 1

Hey there!
We can show this in the following equation: 
2n - 74 = 376 

The variable n represents the number of hamburgers sold. 
Subtracting 74 shows that the number of cheeseburgers is 74 less than the number of hamburgers. 

Let's solve for n. 

First, add 74 to each side of the equation: 
2n = 450 

Then, divide each side of the equation by 2:
n = 225 

Next, we can check the solution. 

225 hamburgers + (225 - 74) cheeseburgers = 225 + 151 = 376 burgers total

There were 225 hamburgers sold on Monday. 

Hope this helps!

Answer 2

Let h = # of hamburgers sold, and c = # of cheeseburgers.

Then h+c = 376, and c=h-74.  Solve this system of linear equations.  Subst. h-74 for c in h+c = 376:  h + h - 74 = 376.  Then 2h = 450, and h = 225.

225 hamburgers were sold, and 225-74, or 151, cheeseburgers.