On a​ team, 4 girls and 2 boys scored a total of 32 points. The difference between the number of points scored by the girls and the number of points scored by the boys is 16.

Question

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.

Answer 1

Let g be the number of points scored by each girl and b the points scored by each boy.

4g + 2b = 32

4g - 2b = 16

Add the two equations to eliminate 2b

8g = 48

g = 6

Substitute 6 for g in the first equation and solve for b.

24 + 2b = 32

2b = 8

b = 4

Each girl scored 6 points and each boy scored 4 points.