Answer:
The more you take of me the more you leave behind.
My second is performed by my first. A thief by the marks of my whole might be caught. What am I?
You throw me out when you use me and take me in when you are done. What am I?
A hole in a pole. Though I fill a hole in white I'm used more by the day and less by the night
Package beneath a tree, inside a tasty treat. Keep it for a month, the taste is just as sweet. What am I?
Why was the cook arrested?