Explanation
Correct answer: D.
Choice D is correct. It's given that the equation represents this situation, where is the number of square tokens won, is the number of circle tokens won, and is the total number of points the tokens are worth. It follows that represents the total number of points the square tokens are worth. Therefore, each square token is worth points. It also follows that represents the total number of points the circle tokens are worth. Therefore, each circle token is worth points. Since a circle token is worth points and a square token is worth points, then a circle token is worth , or , more points than a square token.
Desmos solution:
Note: The coefficients give the points per token, so subtract 80 from 90.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B
Choice B is incorrect. This is the number of points a circle token is worth.
Choice C
Choice C is incorrect. This is the number of points a square token is worth.