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.
Math
The Pizza Cut Problem
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Key Facts In This Video

This is the pizza cutting problem: 00:01

This is the Pizza Theorem (also the answer to the pizza cutting problem): 00:39

The Pizza Theorem also ensures that two people splitting a pizza can get the exact same amount of crust as well. 01:14
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