A game is played with tokens according to the
Following rule. In each round, the player with the most
tokens gives one token to each of the other players
and also places one token in the discard pile. The game
ends when some player runs out of tokens. Isabella,
Sophia and Mia start with 16, 15 and 14 tokens,
respectively. How many rounds will there be in the
game?

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MrRoyal MrRoyal · Answer 1 · 2022-02-08T16:19:37+01:00

The rounds in the game is an illustration of multiples

There are 42 rounds in the game

At the start, the number of tokens for each player are:

Isabella = 16

Sophia = 15

Mia = 14

Round 1

In round 1, Isabella gives Sophia and Mia one token each.

So, we have:

Isabella = 13

Sophia = 16

Mia = 15

Round 2

In round 2, Sophia gives Isabella and Mia one token each.

So, we have:

Isabella = 14

Sophia = 13

Mia = 16

Round 3

In round 3, Mia gives Isabella and Sophia one token each.

So, we have:

Isabella = 15

Sophia = 14

Mia = 13

After round 3, all three players have one token less than the amount they begin with.

This means that, they will lose one token each after ever 3 rounds.

The smallest number of tokens is 14 (Mia's token).

So, the number of rounds is:

[tex]Round = 3 * 14[/tex]

[tex]Round = 42[/tex]

Hence, there are 42 rounds in the game.