8 In a chess tournament, each participant earns 1 point for each game the participant plays that ends in a draw and 3 points for each game the participant wins. A certain participant in this tournament has earned 41 points. Which equation represents this situation, where d represents the number of games this participant has played that ended in a draw and w represents the number of games this participant has won?
Correct answer: A (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice A is correct. It’s given that each participant earns 1 point for each game the participant plays that ends in a draw and 3 points for each game the participant wins. Since d represents the number of games that a certain participant has played that ended in a draw and w represents the number of 1 +3 games this participant has won, this participant has earned a total of d w, or + 41 +3 =41 d 3w, points. Since this participant earned points, the equation d w represents this situation. Choice B is incorrect. This equation represents the situation where the participant earned 3 points for each game played that ended in a draw and 1 point for each 41 game won and earned points. Choice C is incorrect. This equation represents the situation where the participant earned 1 point for each game played that 1 41 ended in a draw and 3 point for each game won and earned points. Choice D is incorrect. This equation represents the situation where the participant earned 1 3 point for each game played that ended in a draw and 1 point for each game won 41 and earned points.
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