# What and where are the fewest number of cuts to the bar of gold that will allow you to pay him 1/7th each day?

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A worker is to perform work for you for seven straight days. In return for his work, you will pay him 1/7th of a bar of gold per day. The worker requires a daily payment of 1/7th of the bar of gold.
What and where are the fewest number of cuts to the bar of gold that will allow you to pay him 1/7th each day?

posted Aug 21, 2015

You make 2 cuts at 1/7 and 3/7 of the bar. This gives you 1/7, 2/7 and 4/7 piece of the bar.
Day 1: Give 1/7 piece.
Day 2: Give 2/7 piece in return for 1/7 piece.
Day 3: Give 1/7 piece.
Day 4: Give 4/7 piece in return for 1/7 and 2/7 piece.
Day 5: Give 1/7 piece.
Day 6: Give 2/7 piece in return for 1/7 piece.
Day 7: Give 1/7 piece.

answer Aug 21, 2015 by
NICE STRATEGY

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