Question

On a team, 4 girls and 2 boys scored a total of 28 points. The difference between the number of points scored by the 4 girls and the number of points scored by the 2 boys is 12. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy Each girl scored points.​

Answer 1

Each girl earned 2 points

Each boy earned 5 points

Explanation:

Let x represent the number of points one girl earned

Let y represent the number of points one boy earned

4x + 2y = 28

4x - 2y = 12

8y = 40

y = 5 points

4x + (2)(5) = 28

4x + 20 = 28

4x = 8

x = 2 points

Each girl earned 2 points

Each boy earned 5 points