Answer:
They make 27 two points basket.
Step-by-step explanation:
Given:
Kelly's basketball team made a total of 33 two points and three point baskets in their game last week.
If her team scored a total of 72 points.
Now, to find the number of two points baskets they make.
Let the two points basket be [tex]x.[/tex]
And the three points basket be [tex]y.[/tex]
So, total number of two points and three point baskets are:
[tex]x+y=33[/tex]
[tex]y=33-x\ \ \ .........(1)[/tex]
Now, the total points team scored:
[tex]2x+3y=72[/tex]
Substituting the value of [tex]y[/tex] from equation (1) we get:
[tex]2x+3(33-x)=72[/tex]
[tex]2x+99-3x=72[/tex]
Subtracting both sides by 99 we get:
[tex]2x-3x=-27[/tex]
[tex]-x=-27[/tex]
Dividing both sides by -1 we get:
[tex]x=27.[/tex]
The the two points basket = 27.
Therefore, they make 27 two points basket.
