Hello!
The answer is: 225 hamburgers were sold on Friday.
Why?
Let's make the equations that we need to solve the problem:
Where:

So, if there is a combined total of 387 hamburgers and cheeseburgers,
Also, we know that there were 63 fewer cheeseburgers sold than hamburgers, so:

Substituting B into the first equation, we have:

So, 225 hamburgers were sold on Friday.
Also, we can calculate how many cheeseburgers were sold:

So, 162 cheeseburgers were sold on Friday!
Have a nice day!