Question

On a team, 7 girls and 2 boys scored a total of 64 points. The difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. 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

Each girl scores 8 points while each boy scores 4 points

Explanation:

Let the number of point scored by the 7 girls and 2 boys be x and y respectively.

Thus, since 7 girls and 2 boys scored a total of 64 points, then;

7x + 2y = 64 - - - (1)

Also, difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. Thus;

7x - 2y = 48 - - - (2)

Add eq(1) to (eq 2) to get;

14x = 64 + 48

14x = 112

x = 112/14

x = 8

Put 8 for x in eq(1) to get;

7(8) + 2y = 64

56 + 2y = 64

2y = 64 - 56

2y = 8

y = 8/2

y = 4

Thus,each girl scores 8 points while each boy scores 4 points