Gold for 7 Days of Work Puzzle

Problem Statement:

You’ve got someone working for you for seven days and a gold bar to pay them. You must pay the worker for their work at the end of every day. If you are only allowed to make two breaks in the gold bar, how do you pay your worker?
(Assuming equal amount of work is done during each day thus requiring equal amount of pay for each day)

Answer

The trick is not to try and how to cut in such a way to make 7 equal pieces but rather to make transactions with the worker. Make two cuts on the gold bar such that you have the following sizes of bars.

1/7, 2/7 and 4/7.

Day Pay Take Back Total Paid Amount Balance Amount
1 1/7 N/A 1/7 2/7, 4/7
2 2/7 1/7 2/7 1/7, 4/7
3 1/7 N/A 3/7 4/7
4 4/7 1/7, 2/7 4/7 2/7, 1/7
5 1/7 N/A 5/7 2/7
6 2/7 1/7 6/7 1/7
7 1/7 N/A 7/7 N/A

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