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UKMT Junior Mathematical Challenge, 2022

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

Amrita and Beatrix play a game in which each player starts with 10 counters. In each round of the game, one player wins and is given 3 counters; and her opponent has 1 counter removed. At the end of the game, Amrita and Beatrix have 40 counters and 16 counters respectively. How many rounds of the game did Amrita win?

(A) $10$ (B) $11$ (C) $12$ (D) $13$ (E) $14$

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