A woman arrives at a hotel. She has no money, but does have a gold chain containing 7 links (like the one in the photo, but gold). She does not know how long she is going to stay, but offers to give one link for each night she remains in the hotel. However, the links are tricky to saw and so the woman wants to make the smallest number of cuts possible .
The hotel owner is happy with this, and agrees to be helpful by exchanging links (so if, for example, the woman has given him three joined links in the past, she can pay for an extra night by giving him four joined links and he will give back the three joined links).
What is the smallest number of cuts that will allow the woman to pay night on night?
As ever, please do NOT post your answers, but do say if you think you have solved the puzzle and how long it took. Solution on Monday.
I have produced an ebook containing 101 of the previous Friday Puzzles! It is called PUZZLED and is available for theKindle (UK here and USA here) and on the iBookstore (UK here in the USA here). You can try 101 of the puzzles for free here.