Question

On a​ team, 8 girls and 5 boys scored a total of 94 points. The difference between the number of points scored by the 8 girls and the number of points scored by the 5 boys is 34. 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

g = 8 points

b = 6 points

Explanation:

If each girl scores g points, and each boy scores b points, then:

8g + 5b = 94

8g − 5b = 34

Add the equations together.

16g = 128

g = 8

Solve for b in either equation.

8(8) + 5b = 94

5b = 30

b = 6