2025 AMC 8 Problem 3

Below is the video solution and professionally curated solution for Problem 3 of the 2025 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2025 AMC 8 solutions, or check the answer key.

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Concepts:ratio and proportion

Difficulty rating: 660

3.

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 33 of her friends play Buffalo Shuffle-o, each player is dealt 1515 cards. Suppose 22 more friends join the next game. How many cards will be dealt to each player?

88

99

1010

1111

1212

Video solution:
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Written solution:

At the start, there are 44 total people (Annika plus 33 friends), each with 1515 cards, so there are 4×15=604 \times 15 = 60 cards in total. If 22 more friends join, there will be 66 people in total, and so each should get 60÷6=1060 \div 6 = 10 cards, which is choice C.

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