Question
Use the image to answer the question.
An illustration shows a set of five adjacent rectangles labeled as Adults. Another set of six adjacent rectangles is labeled as Kids and is placed below Adults. All rectangles have the same dimensions. A bracket on the right side encompasses both sets and points to the number 132.
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
12 kids
12 kids
60 kids
60 kids
66 kids
66 kids
72 kids
72 kids
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The correct answer is 72 kids.
To solve the problem, we first need to find the number of adults waiting in line.
From the illustration, we can see that the ratio of adults to kids waiting in line is 5:6.
Let's assume the number of adults waiting is A. We can set up the equation:
A / (A + K) = 5 / 6
Where K represents the number of kids waiting.
Cross multiplying, we get:
6A = 5(A + K)
Expanding the equation, we get:
6A = 5A + 5K
Subtracting 5A from both sides, we get:
A = 5K
Now, we know that the total number of people waiting in line is 132. So, we can say:
A + K = 132
Substituting the value of A from the previous equation, we get:
5K + K = 132
Simplifying the equation, we get:
6K = 132
Dividing both sides by 6, we get:
K = 132 / 6
K = 22
Therefore, there are 22 kids waiting in line.
To solve this problem, we need to use the ratio provided and the total number of people in line.
1. First, we need to determine the proportion of adults to kids in the line. The ratio of adults to kids is given as 5:6.
2. Since the total number of people in line is 132, we can set up the following equation based on the ratio:
5x + 6x = 132
3. Simplifying the equation, we have:
11x = 132
4. To isolate x, divide both sides of the equation by 11:
x = 132 / 11
x = 12
5. Now that we know x is equal to 12, we can find the number of kids in line by multiplying x by the ratio:
Number of kids = 6x = 6 * 12 = 72
Therefore, there are 72 kids waiting in line.