Answer:
The team scored 25 2-point goals and 5 3-point goals
Step-by-step explanation:
Here, we are interested in calculating the number of 3 points and 2 points goals scored by the team
let the number of two point goals be x while the number of three point goals be y
The total goal number is 30;
Hence;
x + y = 30 ••••••(i)
Also, the total point is 65
point of two points goals is 2 * x = 2x
points of three point goal is 3 * y = 3y
Adding both;
2x + 3y = 65 ••••••(ii)
So we have two equations to solve simultaneously.
From 1, x = 30 -y
Now substitute this into ii
2(30-y) + 3y = 65
60 -2y + 3y = 65
y = 65 -60
y = 5
x = 30 - y
x = 30-5 = 25
