Answer:
The number of points scored by girls = x = 7 points
The number of points scored by boys = y = 3 points
Explanation:
The number of points scored by girls = x
The number of points scored by boys = y
On a team, 6 girls and 5 boys scored a total of 57 points.
6 × x + 5 × y = 57
6x + 5y = 57....... Equation 1
The difference between the number of points scored by the 6 girls and the number of points scored by the 5 boys is 27.
6x - 5y = 27.......... Equation 2
6x + 5y = 57....... Equation 1
6x - 5y = 27.......... Equation 2
We Add the Equations together
12x = 84
x = 84/12
x = 7 points
6x + 5y = 57....... Equation 1
6(7) + 5y = 57
42 + 5y = 57
5y = 57 - 42
5y = 15
y = 15/5
y = 3 points
Hence:
The number of points scored by girls = x = 7 points
The number of points scored by boys = y = 3 points