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Australian AMC 2022 - Junior Question 19

AMC AUSTRALIA · Australian AMC 2022 - Junior

Question 19

Ash, Sash and Tash collect and swap monster trading cards. They meet to trade cards with each other. Ash trades 11 cards, Sash trades 8 and Tash trades 15. Each card is swapped exactly once with another card belonging to another person. Everyone ends up with the same number of cards they started with. How many cards does Sash swap with Tash?

Decorative card text: PYTHAGOR (three filled stars, two empty stars); Region: Euclidea; Type: Angled; Health: 30; Attack: 25; Defense: 12; Geometry bonus: +4; Special moves: point, bisect, shear. Note: combos cannot be deployed in Non-Euclidean spaces.

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