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)
shots
Let's use a tape diagram to help solve the problem.
We can represent the ratio of shots made to total shots with the fraction 2/5 (2 baskets made for every 5 shots taken).
If Breanna made 8 baskets, we can set up the equation:
2/5 = 8/x
To find the value of x, we can cross multiply:
2x = 5 * 8
2x = 40
Dividing both sides by 2 gives us:
x = 40 / 2
x = 20
Therefore, Breanna took 20 shots.
To solve this problem, we can use a ratio. We know that for every 5 shots, Breanna makes 2 baskets. Let's set up a ratio:
5 shots : 2 baskets
Now, since we know that Breanna made 8 baskets, we can set up a proportion:
5 shots / 2 baskets = x shots / 8 baskets
To solve for x, we can cross multiply:
2 * x = 5 * 8
2x = 40
Dividing both sides by 2, we get:
x = 20
Therefore, Breanna took 20 shots to make 8 baskets. Let's represent this using a tape diagram:
________ ________ ________ ________ ________
|--------| |--------| |--------| |--------| |--------|
|--------| |--------| |--------| |--------| |--------|
Each segment represents 5 shots, and there are a total of 4 segments. Therefore, Breanna took 20 shots.
To find out how many shots Breanna took, we can use the given information that for every 5 shots, she makes 2 baskets.
To set up a tape diagram, we can first draw a rectangle to represent the total number of shots. Then we can divide this rectangle into equal parts to represent the ratio of shots to baskets (5 shots to 2 baskets).
Let's use 'S' to represent shots and 'B' to represent baskets. The tape diagram will look like this:
S S S S S | S S
_________________
B B
From the diagram, we can see that for every 5 shots (5 parts), there are 2 baskets (2 parts). The total number of shots is represented by all the parts of the rectangle, which in this case is 7 parts.
Since Breanna made 8 baskets, we need to find the corresponding number of shots. To do this, we can set up a proportion:
5 shots / 2 baskets = x shots / 8 baskets
Cross-multiplying, we get:
2 * x = 5 * 8
2x = 40
Dividing both sides of the equation by 2, we find:
x = 20
Therefore, Breanna took 20 shots to make 8 baskets.