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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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
You're welcome! If you have any more questions, feel free to ask.
To find the number of adults in line, we first need to find the total number of parts in the ratio.
The ratio of kids to adults is 3:2, which means there are 3 + 2 = 5 parts in total.
Now, we can calculate the number of adults in line by dividing the total number of people in line by the total number of parts and then multiplying it by the number of parts representing adults.
Number of Adults = (Total number of people in line / Total number of parts) * Number of parts representing adults
= (155 / 5) * 2
= 31 * 2
= 62
Therefore, there are 62 adults in line.
To find the number of adults in line, we need to use the given ratio of kids to adults, which is 3:2.
A tape diagram is a visual representation that can help us organize our thinking. Draw a rectangle and divide it into 5 equal parts to represent the total number of items (kids + adults). Then draw a vertical line to divide the rectangle into two parts, representing the ratio of kids to adults.
Since the ratio of kids to adults is 3:2, divide the rectangle on the left side into three equal parts and the rectangle on the right side into two equal parts.
Now, we know that the total number of items is 53 (which represents the total number of people in line) and we need to find the number of adults.
Since there are 5 equal parts in total (3 for kids and 2 for adults), we can find the value of one part by dividing 53 by 5.
53 / 5 = 10.6
Since we can't have 0.6 of a person, we round down to the nearest whole number, which is 10.
So one part represents 10 people.
Now, to find the number of adults, we take 2 parts (which represents the adults) and multiply it by the value of one part (10 people).
2 x 10 = 20
Therefore, there are 20 adults in line.