its 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

Let's set up a proportion to solve this problem.

We have the ratio of adults to kids waiting in line which is 5:6. This can be written as 5/6.

Let's denote the number of adults waiting as "x" and the number of kids waiting as "y".

So we have the equation: x/y = 5/6

Now, we know that the total number of people waiting in line is 132. So, we can set up another equation:

x + y = 132

To solve, we can use substitution. Rearrange the second equation to get: x = 132 - y

Substitute this value of x in the first equation:
(132 - y)/y = 5/6

Now, cross multiply:
6(132 - y) = 5y

Distribute on the left side:
792 - 6y = 5y

Combine like terms:
792 = 11y

Divide both sides by 11:
y = 792/11
y ≈ 72

So, there are approximately 72 kids waiting in line.