Question 5-g-45
At a school fair, students can win colored tokens that are worth a different number of points depending on the color. One student won green tokens and red tokens worth a total of points. The given equation represents this situation. How many more points is a red token worth than a green token?
5 G + 45 R = 380 At a school fair, students can win colored tokens
Hard-difficulty · SAT Math · Linear Equations in Two Variables — Writing equations from data/points. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
The correct answer is . It's given that , where is the number of green tokens and is the number of red tokens won by one student and these tokens are worth a total of points. Since the equation represents the situation where the student won points with green tokens and red tokens for a total of points, each term on the left-hand side of the equation represents the number of points won for one of the colors. Since the coefficient of in the given equation is , a green token must be worth points. Similarly, since the coefficient of in the given equation is , a red token must be worth points. Therefore, a red token is worth points, or points, more than a green token.
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