111 blue + 88 white chips, game May Olympiad (Olimpiada de Mayo) 2012 L2 P4
Source:
September 30, 2021
combinatoricsgame
Problem Statement
Pedro has blue chips and white chips. There is a machine that for every blue chips , it gives white pieces and for every white chips, it gives blue pieces. Decide if Pedro can achieve, through successive operations with the machine, increase the total number of chips by , so that the number of blue chips equals of the amount of white chips. If possible, indicate how to do it. If not, indicate why.