Breanna plays on her middle school basketball team. For every 5 shots she takes, she makes 2 baskets. If she makes 8 baskets, how many shots did she take? Use a tape diagram to help organize your thinking.(1 point)

Answer 1

To solve this problem, we can set up a ratio of shots to baskets. We know that for every 5 shots, Breanna makes 2 baskets.

Let's use a tape diagram to represent this ratio.

Since we are trying to find out how many shots she took, we can assign a variable to represent that unknown quantity. Let's use x.

The tape diagram would look like this:

__ __ __ __ __
|__|__|__|__|__|

Each empty space in the tape diagram represents one shot.

We know that for every 5 shots, 2 baskets are made. So, we can divide the tape diagram into groups of 5 shots and label it accordingly:

2 groups of 5

Each group of 5 shots represents 2 baskets.

Since Breanna made 8 baskets, we can divide that into groups of 2 baskets:

4 groups of 2

Now, we can see that Breanna made 4 groups of 5 shots, or 4 times 5 shots.

4 x 5 = 20

Therefore, Breanna took 20 shots.