SAT Math Multiple Choice Question 286: Answer and Explanation

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Question: 286

1. In a certain board game, where playing involves a specific number of cards and a specific number of players, three cards are removed from the deck and kept in an envelope, while the rest of the cards are distributed equally among the players. The scenario can be represented by the equation given above. What does the variable c represent in this scenario?

  • A. The number of players
  • B. The number of cards left over
  • C. The number of cards in the deck
  • D. The number of cards dealt to each player

Correct Answer: A

Explanation:

A

Difficulty:

Difficulty: Easy

Category: Heart of Algebra / Linear Equations

Strategic Advice: Think about the words in the scenario and the operations they describe.

Getting to the Answer: In the scenario, there are a specified number of cards in the deck, from which 3 are removed, or subtracted. This means b must represent the initial number of cards in the deck, from which the remaining cards (b - 3) are distributed, or divided, equally among the players. This means c must represent the number of players among whom the cards are divided, making (A) correct. Although it is not asked for in the question, the result of performing all the operations (a) represents the number of cards each player receives.

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