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

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 $x.$

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.