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)
To represent the ratio 3:2, we can draw three boxes to represent kids and two boxes to represent adults.
[image of tape diagram with three boxes labeled "kids" and two boxes labeled "adults"]
If we know that there are 155 people in line, and the ratio of kids to adults is 3:2, we can create an equation: 3x + 2x = 155, where x represents the multiplier or the number of people represented by each box.
Combining like terms, we have 5x = 155.
To solve for x, we divide both sides of the equation by 5: x = 31.
Since x represents the number of people represented by each box, we can multiply 31 by 2 to find the number of adults in line: 31 * 2 = 62.
So, there are 62 adults in line.