Question

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 how many two points baskets did they make

Answer 1

They make 27 two points basket.

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
`x.`

And the three points basket be
`y.`

So, total number of two points and three point baskets are:

`x+y=33`

`y=33-x\ \ \ .........(1)`

Now, the total points team scored:

`2x+3y=72`

Substituting the value of
`y` from equation (1) we get:

`2x+3(33-x)=72`

`2x+99-3x=72`

Subtracting both sides by 99 we get:

`2x-3x=-27`

`-x=-27`

Dividing both sides by -1 we get:

`x=27.`

The the two points basket = 27.

Therefore, they make 27 two points basket.