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. [blank] adults
Let's represent the number of kids in line with 3 equal parts and the number of adults in line with 2 equal parts.
We know that the total number of parts representing kids and adults is 5 (3 + 2 = 5).
So, each part represents 155 ÷ 5 = <<155/5=31>>31 people.
Since the ratio of kids to adults is 3:2, there are 3 parts representing kids and 2 parts representing adults.
Therefore, there are 2 parts * 31 people per part = <<2*31=62>>62 adults in line. Answer: \boxed{62}.
To find the number of adults in line, we first need to find the number of kids in line.
The given ratio of kids to adults is 3:2. This means that for every 3 kids, there are 2 adults.
Let's represent the number of kids by "3x" and the number of adults by "2x". Here, "x" represents an unknown constant.
We know that there are 155 people in line, so the sum of the number of kids and the number of adults is 155:
3x + 2x = 155
Combining like terms, we have:
5x = 155
To solve for "x", we divide both sides of the equation by 5:
x = 155 ÷ 5
x = 31
Now that we know the value of "x", we can find the number of adults:
2x = 2 * 31
= 62
Therefore, there are 62 adults in line to see the superhero movie.
To find out how many adults are 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 helps organize our thinking and solve ratio problems. Let's use a tape diagram to solve this question:
First, draw a straight line and divide it into five equal parts, representing the total ratio of 3:2 (kids:adults).
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| | | |
| K | K | K | A | A |
| | | |
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Now, we know that the total number of parts is equal to 155 people. Since each part represents a group of people, we can divide 155 by 5 to find the value of each part.
155 ÷ 5 = 31
So, each part represents 31 people.
To find the number of adults in line, we need to determine how many parts are represented by adults (A). Since the ratio is 3:2, adults make up 2 out of the total 5 parts.
2 parts * 31 people per part = 62 adults
Therefore, there are 62 adults in line to see the movie.