At a state fair, attendees can win tokens that are worth a different number of points

Choice D is correct. It’s given that the equation $80S+90C=\mathrm{1,120}$ represents this situation, where $S$ is the number of square tokens won, $C$ is the number of circle tokens won, and $\mathrm{1,120}$ is the total number of points the tokens are worth. It follows that $80S$ represents the total number of points the square tokens are worth. Therefore, each square token is worth $80$ points. It also follows that $90C$ represents the total number of points the circle tokens are worth. Therefore, each circle token is worth $90$ points. Since a circle token is worth $90$ points and a square token is worth $80$ points, then a circle token is worth $90-80$, or $10$, more points than a square token.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect. This is the number of points a circle token is worth.

Choice C is incorrect. This is the number of points a square token is worth.