AMC8 2025

AMC8 2025 · Q3

AMC8 2025 · Q3. It mainly tests Fractions, Averages (mean).

Buffalo Shuffle-o is a card game in which all the cards are distributed evenly among all players at the start of the game. When Annika and 3 of her friends play Buffalo Shuffle-o, each player is dealt 15 cards. Suppose 2 more friends join the next game. How many cards will be dealt to each player?

Buffalo Shuffle-o 是一种纸牌游戏，游戏开始时所有牌平均分发给所有玩家。当 Annika 和她的 3 个朋友玩时，每位玩家分到 15 张牌。假如再有 2 个朋友加入下一局。每位玩家将分到多少张牌？

(A) 8 8

(B) 9 9

(D) 11 11

(E) 12 12

Answer

Correct choice: (C)

正确答案：（C）

Solution

We start with Annika and $3$ of her friends playing, meaning that there are $4$ players. This must mean that there is a total of $4 \cdot 15 = 60$ cards. If $2$ more players joined, there would be $6$ players, and since the cards need to be split evenly, this would mean that each player gets $\frac{60}{6}=\boxed{\text{(C) 10}}$ Buffalo Shuffle-O cards each meaning that the final answer is 10.

Annika 和她的 $3$ 个朋友共 $4$ 人玩，每人 $15$ 张牌，因此总牌数为 $4 \cdot 15 = 60$ 张。再加入 $2$ 人，共 $6$ 人，牌平均分发，每人得 $\frac{60}{6}=\boxed{\text{(C) 10}}$ 张牌。

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