Question Use the image to answer the question. 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? Responses 66 kids 66 kids - no response given 12 kids 12 kids - no response given 60 kids 60 kids - no response given 72 kids

1 answer

To find out how many kids are waiting in line, we can use the ratio of adults to kids given as 5:6. This can be interpreted as:

  • For every 5 adults, there are 6 kids.

Let's denote the number of adults as \(5x\) and the number of kids as \(6x\), where \(x\) is a common multiplier.

The total number of people in line is given as 132:

\[ 5x + 6x = 132 \] \[ 11x = 132 \] \[ x = \frac{132}{11} = 12 \]

Now we can find the number of kids:

\[ \text{Number of kids} = 6x = 6 \times 12 = 72 \]

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