SAT Question 2d54c272: Linear Equations In Two Variables answer and explanation with Desmos solution

It's given that $5G+45R=380$, where $G$ is the number of green tokens and $R$ is the number of red tokens won by one student and these tokens are worth a total of $380$ points. Since the equation represents the situation where the student won points with green tokens and red tokens for a total of $380$ 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 $G$ in the given equation is $5$, a green token must be worth $5$ points. Similarly, since the coefficient of $R$ in the given equation is $45$, a red token must be worth $45$ points. Therefore, a red token is worth $45-5$ points, or $40$ points, more than a green token.