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Question

An illustration shows a set of five adjacent rectangles labeled as Adults. Another set of six adjacent rectangles is labeled as Kids and is placed below Adults. All rectangles have the same dimensions. A bracket on the right side encompasses both sets and points to the number 132.

It’s opening day at an amusement park. There are 132 people in line before it officially opens. If the ratio of adults to kids waiting to get in is 5:6 , how many kids are waiting in line?

(1 point)
Responses

12 kids
12 kids

60 kids
60 kids

72 kids
72 kids

66 kids
66 kids
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Answer 1

To find out how many kids are waiting in line, we start by using the ratio of adults to kids, which is 5:6. This means that for every 5 adults, there are 6 kids.

Given the total number of people in line is 132, we can set up the equation based on the ratio:

Let the number of adults be \( 5x \) and the number of kids be \( 6x \).

The total can be modeled as: \[ 5x + 6x = 132 \] \[ 11x = 132 \] \[ x = 12 \]

Now we can find the number of kids: \[ 6x = 6 \times 12 = 72 \]

Thus, the number of kids waiting in line is 72 kids.