Ten Crates, One Weighing

A warehouse holds 10 10 crates of steel ball bearings, each crate containing plenty of them. Nine crates hold standard 10 10 -gram bearings; one crate was filled from a bad batch and every bearing in it weighs 11 11 grams. You have a precise digital scale but are allowed only a single reading. How do you identify the bad crate?

Answer

Free accounts unlock one worked solution a day. Pro includes every answer.