SAT question 820ad8e8 (Linear Equations In Two Variables)

Question

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?

62

Difficulty:Easy

A

$d + 3 w = 41$

B

$3 d + w = 41$

C

$d + \frac{w}{3} = 41$

D

$\frac{d}{3} + w = 41$

College Board · Accepted Answer

The correct answer is A. 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 games this participant has won, this participant has earned a total of 1 d + 3 w , or d + 3 w , points. Since this participant earned 41 points, the equation d + 3 w = 41 represents this situation.

CookSAT · Answer

Note: x is the number of draws and y is the number of wins.

Explanation

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Why the other choices are wrong

SAT Question 820ad8e8: Linear Equations In Two Variables answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong