Question

The meridian girls basketball team scored a total of 80 points in a basketball game. Meridian made a total of 37 two point and three point baskets how many two point shots and three point shots did they make?

Answer 1

Answer:

They make 31 two point shots and 6 three point shots.

Step-by-step explanation:

Given:

The meridian girls basketball team scored a total of 80 points in a basketball game.

Now, to find the two point shots and three point shots they make.

Let the 2 point shots be $x.$

And let the 3 point shots be $y.$

So, the total baskets:

$x+y=37$

$x=37-y$  ....(1)

And, the total points:

$2x+3y=80$

Substituting the value of $x$ from equation (1):

$2(37-y)+3y=80\\\\74-2y+3y=80\\\\74+y=80$

Subtracting both sides by 74 we get:

$y=80-74$

$y=6$

The 3 point shots = 6.

Now, substituting the value of $y$ in equation (1):

$x=37-y\\\\x=37-6\\\\x=31.$

The 2 point shots = 31.

Therefore, they make 31 two point shots and 6 three point shots.