t’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?

Answer 1

To determine how many kids are waiting in line at the amusement park, we start by using the given ratio of adults to kids, which is 5:6.

1. Let the number of adults be represented as \( 5x \) and the number of kids be represented as \( 6x \), where \( x \) is a common multiplier.

2. The total number of people in line is the sum of adults and kids: \[ 5x + 6x = 11x \]

3. We know that the total number of people in line is 132. Therefore: \[ 11x = 132 \]

4. To find \( x \), we divide both sides of the equation by 11: \[ x = \frac{132}{11} = 12 \]

5. Now, we can find the number of kids by calculating \( 6x \): \[ \text{Number of kids} = 6x = 6 \times 12 = 72 \]

Thus, the number of kids waiting in line is \( \boxed{72} \).