## The gold of the traveler

It should cut the first time so that the first piece should have 1/7 (one seventh) of the total bar.

Then it should cut for the second and last time, each part having respectively 2/7 (two sevenths) and 4/7 (four sevenths) of the total bar.

Then the payment must be made as follows:

**1st daily:** pays with 1/7 of the bar.**2nd daily:** pay with 2/7 bar and get 1/7 bar back.**3rd daily:** pays again with 1/7 of the bar.**4th daily:** pays with 4/7 of the bar and gets back 3/7 of the bar (being two pieces: 1/7 and 2/7 of the bar).**5th daily:** pays with 1/7 bar again.**6th daily:** pay with 2/7 bar and get 1/7 bar back.**7th daily:** pays with 1/7 of the bar.

Back to statement