Answer:
The team made 27 two pointers and 7 three pointers.
Step-by-step explanation:
We can solve this question by a system of equations.
I am going to say that:
x is the number of two point baskets.
y is the number of three point baskets.
The team scored 89 points
This means that [tex]2x + 3y = 89[/tex]
The number of two points baskets was 27 more than the number of three point baskets.
This means that [tex]x = 27 + y[/tex]
So
[tex]2x + 3y = 89[/tex]
[tex]2(27 + y) + 3y = 89[/tex]
[tex]54 + 2y + 3y = 89[/tex]
[tex]5y = 35[/tex]
[tex]y = \frac{35}{5}[/tex]
[tex]y = 7[/tex]
[tex]x = 27 + y = 27 + 7 = 34[/tex]
The team made 27 two pointers and 7 three pointers.
