Five players agree to divide a cake fairly using the last diminisher method. The players play in the following order: Anne first, Betty second, Cindy third, Doris fourth, and Ellen last. In round 1, there are no diminishers In round 2, Doris is the only diminisher In round 3, Cindy and Ellen are the only diminishers Which player gets her fair share at the end of:

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Five players agree to divide a cake fairly using the last diminisher method . The players play in the following order : Anne first , Betty second , Cindy third , Doris fourth , and Ellen last . In round 1 , Betty and Cindy are the only diminishers In round 2, there are no diminishers In round 3, Ellen is the only diminisher Which player gets her fair share at the end of Round 1 , after round2 and after round 3.

As such after Round 1 = Cindy

after round 2 = Anne

after round 3 = Ellen

Step-by-step explanation:

In each round, the last diminisher is the person who got their fair share.

following the order ; Anne, betty, cindy, doris and ellen.

  • it says in round 1 ; cindy and ellen are the only diminishers
  • in round 2 ; there are no diminishers
  • in round 3 ; ellen is the only diminisher

Working with the information provided; In the first round, cindy is the last diminisher as betty has already preceded her. this implies that cindy must have gotten her fair share after the first round. as such, cindy is out of the order since she has gotten her fair share.

  • now we are left with Anne, betty, doris, ellen

In the second round, it says there are no diminisher, this indicates that after anne must have must have gotten her fair share, no diminisher comes after her. As such anne is out of the order after getting her share in round 2.

  • the order now ; betty, doris, ellen

In the third round, it says ellen is the only diminisher, this shows that ellen got her fair share in the 3rd round.

As such after Round 1 = Cindy

after round 2 = Anne

after round 3 = Ellen