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?

A. 8

B. 9

C. 10

D. 11

E. 12

1. 2025 AMC 8 官方解析

Answer (C): When Annika and her 3 friends play the game, there are 4 players. Since each player is dealt 15 cards, the total number of cards is $4 \cdot 15 = 60$. When there are 6 players, $60 \div 6 = 10$ cards will be dealt to each player.

OR

When 2 new players join the group, there are $\frac{6}{4} = \frac{3}{2}$ as many players. This means each player will be dealt $\frac{4}{6} = \frac{2}{3}$ as many cards. Therefore each player will be dealt $\frac{2}{3} \cdot 15 = 10$ cards.