3 of 53 of 5 Items

Question
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)
adults
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3 answers

To solve this problem, we can use a tape diagram.

First, we can represent the number of kids in line with three equal parts, and the number of adults with two equal parts.

___ ___ ___ ___ ___
Kids: | | | | | |
Adults: | | | | | |

Since the ratio of kids to adults is 3:2, we can divide the line into 5 equal parts.

___ ___ ___ ___ ___
Kids: | | | | | |
Adults: | | | | | |

Since there are 155 people in line, we can divide the total length of the line into 155 equal parts.

___ ___ ___ ___ ___
Kids: | | | | | |
Adults: | | | | | |
155/5 = 31
This means that each part represents 31 people.

Now, we can determine the number of adults in line by calculating 2 parts out of 5.

2/5 * 155 = 62

Thus, there are 62 adults in line.
Thanks
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