5 G + 45 R = 380 At a school fair, students can win colored tokens that are worth a

Question

5 G + 45 R = 380 At a school fair, students can win colored tokens that are worth a different number of points depending on the color. One student won G green tokens and R red tokens worth a total of 380 points. The given equation represents this situation. How many more points is a red token worth than a green token?

Accepted Answer

The correct answer is 40 . It's given that 5 G + 45 R = 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.

Question 5-g-45