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
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.
To find out how many kids are waiting in line, we need to determine the total number of parts in the ratio (5 + 6 = 11 parts). Then, we can divide the total number of people in line by the number of parts to find the size of each part, and finally find the number of parts representing kids (6 parts).
Total number of people in line = 132
Number of parts representing kids = (6 parts / 11 parts) * 132 people
= (6/11) * 132
= 72 kids
Therefore, there are 72 kids waiting in line.
To find the number of kids waiting in line, we first need to determine how many people are in the line in total. Since there are 132 people in line before the park officially opens, the ratio of adults to kids is 5:6.
To find the total number of parts in the ratio, we add the numbers in the ratio together: 5 + 6 = 11. This means that there are a total of 11 parts in the ratio.
To find the number of kids waiting in line, we need to determine the fraction of the ratio that represents kids. In this case, the fraction representing kids is 6/11 (since there are 6 parts out of a total of 11 parts).
Now we multiply the total number of people in line by the fraction representing kids:
132 * (6/11) = 72
Therefore, there are 72 kids waiting in line at the amusement park on opening day.