Difference between revisions of "2025 AMC 8 Problems/Problem 3"

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The 2025 AMC 8 is not held yet. '''Please do not post false problems.'''
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''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 <math>3</math> of her friends play ''Buffalo Shuffle-o'', each player is dealt <math>15</math> cards. Suppose <math>2</math> more friends join the next game. How many cards will be dealt to each player?
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==Solution 1==
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In the beginning, there are <math>4</math> players playing the game, meaning that each player gets <math>4 \cdot 15 = 60</math> cards. When <math>2</math> more players join, there are now <math>6</math> players playing, and since the cards need to be split evenly, this means that each player gets <math>\frac{60}{6}=\boxed{\text{(C)\ 10}}</math> cards
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~Soupboy0

Revision as of 19:18, 29 January 2025

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?


Solution 1

In the beginning, there are $4$ players playing the game, meaning that each player gets $4 \cdot 15 = 60$ cards. When $2$ more players join, there are now $6$ players playing, and since the cards need to be split evenly, this means that each player gets $\frac{60}{6}=\boxed{\text{(C)\ 10}}$ cards

~Soupboy0