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.(1 point)

1 answer

To find the number of adults in line for the superhero movie, we start with the given ratio of kids to adults, which is 3:2. This means that for every 3 kids, there are 2 adults.

We can represent the total parts of the ratio as follows:

  • Kids: 3 parts
  • Adults: 2 parts

Adding these parts together, we have:

\[ 3 + 2 = 5 \text{ parts} \]

Next, we can determine how many people correspond to each part. The total number of people in line is 155. Therefore, we can calculate the value of each part by dividing the total number of people by the total number of parts:

\[ \text{Value of one part} = \frac{155}{5} = 31 \]

Now we can find the number of adults by calculating the number of parts that correspond to adults (which is 2 parts):

\[ \text{Number of adults} = 2 \times \text{Value of one part} = 2 \times 31 = 62 \]

Thus, the number of adults in line is 62.

Summary:

  • Total people in line: 155
  • Ratio of kids to adults: 3:2
  • Total parts in the ratio: 5 parts
  • Value of each part: 31
  • Number of adults: 62
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