Is it possible to share a four fingered Kit Kat equally between 5 people if you can only break any one piece in half?
Prove whether it is possible or impossible.
From what I understand of this question if you keep breaking it in half you get: 4, 8, 16, 32, 64 etc. Which is 2^n+1
I'm just not sure where to go from there...
Equally? so for pieces have to be equal when broken.
4^n n=1,2,3,4
so the question is when this will be a multiply of 5? So then, the last digit will be a 5 or 0. Can four to any power give that last digit?
forget this post, I will think on it later. My mind is clogged now with other matters.
To determine if it is possible to share a four-fingered Kit Kat equally between five people using only one break per piece, let's break down the problem step by step.
The Kit Kat consists of four fingers, and you can break any one piece in half. Therefore, the maximum number of pieces you can generate from a four-fingered Kit Kat is eight. To divide these pieces equally among five people, each person would need to receive 1.6 pieces.
However, since we cannot distribute 0.6 of a Kit Kat piece, it is impossible to share the four-fingered Kit Kat equally among five people using only one break per piece. In this scenario, there will always be a remainder, resulting in an unequal division of the Kit Kat.
So, to summarize, it is impossible to divide a four-fingered Kit Kat equally between five people using only one break per piece.