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)
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.