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

Revision as of 17:48, 30 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 there is a total of $4 \cdot 15 = 60$ 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

Solution 2

We start with $4$ players playing the game (Anika + $3$ friends). When $2$ more players join, there are now $6$ players playing, and since the cards need to be split evenly, this means we can set up the equation $\frac{4 \cdot 15}{6} = \frac{60}{6}=\boxed{\text{(C)\ 10}}$ cards

~shreyan.chethan

Video Solution by Daily Dose of Math

https://youtu.be/rjd0gigUsd0

~Thesmartgreekmathdude

Vide Solution 1 by SpreadTheMathLove

https://www.youtube.com/watch?v=jTTcscvcQmI

2025 AMC 8 (Problems • Answer Key • Resources)
Preceded by Problem 2	Followed by Problem 4
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25
All AJHSME/AMC 8 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

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