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 66 kids 66 kids 72 kids 72 kids 60 kids 60 kids 12 kids

1 answer

To find the number of kids waiting in line, let's use the given ratio of adults to kids, which is 5:6.

Let's denote:

  • the number of adults as \( 5x \)
  • the number of kids as \( 6x \)

According to the problem, the total number of people is 132:

\[ 5x + 6x = 132 \]

Combining like terms:

\[ 11x = 132 \]

Now, divide both sides by 11:

\[ x = \frac{132}{11} = 12 \]

Now we can find the number of kids:

\[ 6x = 6 \times 12 = 72 \]

Therefore, 72 kids are waiting in line.