The Pizza Cut Problem
This problem can be solved with calculus, and is proven by a theorem called, appropriately, the Pizza Theorem. According to this theorem, both boys will also get the same amount of crust.
from Tipping Point Math
Key Facts In This Video
This is the pizza cutting problem: (0:01)
This is the Pizza Theorem (also the answer to the pizza cutting problem): (0:39)
The Pizza Theorem also ensures that two people splitting a pizza can get the exact same amount of crust as well. (1:14)