1. A game is played with tokens according to thefollowing rule. In each round, t

Question

1. A game is played with tokens according to thefollowing rule. In each round, the player with the mosttokens gives one token to each of the other players and also placesone token into a discard pile. The game ends when some playerruns out of tokens. Players A, B, and C start with 15, 14,and 13 token, respectively. How many rounds will there be in thegame? A)36   B)37      C)38      D)39       E)40 1. A game is played with tokens according to thefollowing rule. In each round, the player with the mosttokens gives one token to each of the other players and also placesone token into a discard pile. The game ends when some playerruns out of tokens. Players A, B, and C start with 15, 14,and 13 token, respectively. How many rounds will there be in thegame? A)36   B)37      C)38      D)39       E)40

Explanation / Answer

since plays A, B and C has a total of 42 tokens and in every roundthey will lose 1 token to the discard pile then there has to be atmost 42 rounds but we also know that in each round the one withmost token will also have to give one token each to the other 2players, which means at the last round the person with the mosttoken has to have 3 tokens and with the numbers associated theother 2 players will have 1 and 2 tokens left total of 6 token sohaving 42-6=36. which means it will take 36 rounds to end thislittle game

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