CWanamaker profile image 94

A carrot measures 100mm long and needs to be sliced into 100 1mm thick slices.

What is the minimum number of cuts required to do so if you are allowed to cut multiple pieces (from a previous cut) during a single slice?

sort by best latest

calculus-geometry profile image85

TR Smith (calculus-geometry) says

4 years ago
 |  Comment
  • SidKemp profile image

    Sid Kemp (SidKemp) 4 years ago

    I think you got it - I could prove the 8 cut, and find 2. I thought there might be a 7-cut, but I wasn't sure.

SidKemp profile image94

Sid Kemp (SidKemp) says

4 years ago
 |  Comment
  • calculus-geometry profile image

    TR Smith (calculus-geometry) 4 years ago

    I like your analysis of the prime factors. I think you can improve on the 3rd cut's efficiency by going 16 & 9 instead of 24 &1. 24 requires 5 cuts to get it down to 1, but 16 & 9 require 4 cuts. That would bring your solution down to 7

tussin profile image59

I'M BANNED Y'ALL!!!!!!!!!! (tussin) says

4 years ago
 |  Comment