Gold was missing story problem

Question

The gold was missing. The thief was either the butler, the maid, or the cook. During the investigation, each made the following statement:

Butler; The maid stole the gold.

Maid; That is true!

Cook; I did not steal the gold.

As it happened, at least one of them lied at least one of them told the truth. Who stole the gold?

Answer 1

I'll use T to mean the statement is true and F for false. The statements can be represented by a triple code of F's and T's  where the order is the order of statements: butler, maid, cook.

If the butler stole the gold we have FFT; if it was the the maid we have TTT; if it was the cook we have FFF. The only answer set that meets the requirements is FFT, so it was the butler who stole the gold.