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?

Answer 1

To determine how many shots Breanna took, we can set up a proportion based on the information provided.

We know that for every 5 shots she takes, she makes 2 baskets. This can be expressed as:

\[ \text{Shots Taken} : \text{Baskets Made} = 5 : 2 \]

If Breanna made 8 baskets, we can set up the following proportion:

\[ \frac{\text{Shots Taken}}{\text{Baskets Made}} = \frac{5}{2} \]

Let \( x \) be the number of shots she took. Then we can write:

\[ \frac{x}{8} = \frac{5}{2} \]

Now, we can cross-multiply to solve for \( x \):

\[ 2x = 5 \times 8 \] \[ 2x = 40 \] \[ x = \frac{40}{2} \] \[ x = 20 \]

Thus, Breanna took 20 shots.