Answer: The girls scored 9 points each and the boys scored 3 points each.
Explanation:
We will write a system of equations to help us solve. Let g equal the points a girl on the team scored and b equal the points a boy on the team scored.
Given:
8g + 5b = 87
8g - 5b = 57
We can solve this system of equations with elimination, by adding the two equations together.
Add both sides of the equation:
16g = 144
Divide both sides of the equation by 16:
g = 9 points
Now, we will substitute this back in and solve for the boys.
Given:
8g + 5b = 87
Substitute :
8(9) + 5b = 87
Multiply:
72 + 5b = 87
Subtract 72 from both sides of the equation:
5b = 15
Divide both sides of the equation by 5:
b = 3 points