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 shorts did she takes? Use a tape diagram to help organize your thinking
Let's represent the number of shots Breanna takes with a tape diagram.
We can divide the tape diagram into equal parts for every 5 shots she takes. Since Breanna makes 2 baskets for every 5 shots, we can represent the number of baskets she makes with a smaller section.
Using this information, the tape diagram would look like this:
🏀🏀 | ️🏀🏀 | 🏀🏀 | 🏀🏀 | 🏀🏀 | 🏀🏀 | 🏀🏀 | ️🏀🏀
Here, each | represents 5 shots, and each 🏀 represents a basket made.
Since Breanna made 8 baskets, we can see that she took 8 baskets worth of 5 shots, which is a total of 8 * 5 = <<8*5=40>>40 shots.
Thus, Breanna took a total of 40 shots.
To determine the number of shots Breanna took, we can set up a ratio using the information given. We are told that for every 5 shots, she makes 2 baskets. This means the ratio of successful shots to total shots is 2:5.
To find the number of shots, we can use a proportion. We know that she made 8 baskets, so the proportion can be set up as:
2/5 = 8/x
To solve for x (the total number of shots), we can cross-multiply:
2x = 5 * 8
2x = 40
Dividing both sides of the equation by 2, we find that:
x = 20
Therefore, Breanna took a total of 20 shots.
Now, let's use a tape diagram to visualize this problem.
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| | |
makes misses
In the tape diagram, we divide the line into two parts representing makes and misses. Since Breanna makes 2 baskets for every 5 shots, we can mark two sections in the "makes" section and five sections in the "misses" section. If she made a total of 8 baskets, we can fill in the "makes" section accordingly. Finally, we can calculate the total number of shots by counting the total number of sections.
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xxx |
xxx |
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| xx | xx |
makes misses
From the tape diagram, we can see that she took a total of 20 shots (represented by the x's) to make 8 baskets.
that is wrong
what is the right answer
I apologize for the confusion. Since Breanna makes 2 baskets for every 5 shots, we can set up a ratio:
2/5 = 8/x
To solve for x (the total number of shots), we can cross-multiply:
2x = 5 * 8
2x = 40
Dividing both sides of the equation by 2, we find that:
x = 20
Therefore, Breanna took a total of 20 shots.