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. $$ shots
Let's represent the number of shots as $x$.
For every 5 shots she takes, she makes 2 baskets. We can divide $x$ into groups of 5 and represent each group as 5 units on a tape diagram. Then, for each group of 5 shots, we can represent the number of baskets made as 2 units on the tape diagram.
If she makes 8 baskets, we can represent this as 8 units on the tape diagram.
Putting this together, the tape diagram would look like this:
[2 units of 5 shots] [2 units of 5 shots] [2 units of 5 shots] [2 units of 5 shots]
Each bracket represents a group of 5 shots, and each x represents a shot. We know that each group of 5 shots contains 2 baskets made.
Counting the shots, we can see that there are total of $\boxed{20}$ shots.
wrong
Apologies for the confusion.
Given that the ratio of kids to adults waiting in line is 3:2, let's represent the number of kids as $3x$ and the number of adults as $2x$. The total number of people in line is 155.
Setting up an equation, we have $3x + 2x = 155$.
Combining like terms, we have $5x = 155$.
Solving for $x$, we divide both sides by 5: $x = \frac{155}{5} = 31$.
To find the number of adults, we substitute $x=31$ into the expression $2x$: $2(31) = 62$.
Therefore, there are $\boxed{62}$ adults in line.
Again, apologies for the previous incorrect response.
That is right
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A new superhero movie has its first showing and there are 155 people in line to see it. If the ratio of kids to adults waiting to see this movie is 3:2, how many adults are in line? Use a tape diagram to help organize your thinking. $$ adults
Let's represent the number of kids as $3x$ and the number of adults as $2x$.
We know that the total number of people in line is 155, so we have the equation $3x + 2x = 155$.
Simplifying, we have $5x = 155$, so $x = 31$.
To find the number of adults, we can substitute $x=31$ into the expression $2x$.
$2(31) = 62$
So, there are $\boxed{62}$ adults in line.
We can use a tape diagram to help organize our thinking:
Kids: [3 units] [3 units] [3 units] ...
Adults: [2 units] [2 units] [2 units] ...
Each bracket represents a group of people, and each x represents one person. The ratio of kids to adults is 3:2, so for each group of 3 kids, there are 2 adults.
Apologies for the incorrect response.
Let's represent the number of kids as $3x$ and the number of adults as $2x$.
We know that the total number of people in line is 155, so we have the equation $3x + 2x = 155$.
Simplifying, we have $5x = 155$, so $x = \frac{155}{5} = 31$.
To find the number of adults, we can substitute $x=31$ into the expression $2x$.
$2(31) = 62$
So, there are $\boxed{62}$ adults in line.
We can use a tape diagram to help organize our thinking:
Kids: [3x] [3x] [3x] ...
Adults: [2x] [2x] [2x] ...
Each bracket represents a group of people, and each x represents one person. The ratio of kids to adults is 3:2, so for each group of 3x kids, there are 2x adults.