(MATH) My question ia about a game

Question

During a game, a basketball team scored 38 points worth of two-pointers, 33 points worth of three-pointers, and 8 points worth of free throws. How many shots did the basketball team make during the game?

Answer 1

For this question we want to look at each point value separately.

First, the two-pointers.

If the team scored 38 points and each throw was worth 2 points, how many shots did they make?

We use division to find this.

38 points scored ÷ 2 points per shot = 19 shots made

Next, the three-pointers.

If the team scored 33 points and each throw was worth 3 points, how many shots did they make?

We use division again.

33 points scored ÷ 3 points per shot = 11 shots made

Now the free throws which are each worth 1 point.

If they scored 8 points and each throw is worth 1 point, how many shots did they make?

For this one it may seem easy to see that they made 8 shots but we can also use division to see this.

8 points scored ÷ 1 point per shot = 8 shots made

Finally we add all the shots to find the total number of shots made throughout the game.

19 two-pointers + 11 three-pointers + 8 free throws = 38 shots made total

Hope this helps!