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
66 kids
66 kids
60 kids
60 kids
72 kids
To find the number of kids waiting in line, we need to find the ratio of adults to kids, which is 5:6. Since the total number of people in line is 132, we can set up the following equation:
5x + 6x = 132
Simplifying, we get:
11x = 132
Dividing both sides by 11, we find:
x = 12
Therefore, the number of kids waiting in line is:
6x = 6 * 12 = 72
So, there are 72 kids waiting in line.
To find the number of kids waiting in line, we first need to determine the ratio of adults to kids. According to the image, the ratio of adults to kids is 5:6.
Since the total number of rectangles in both the Adults and Kids sections is 132, and the ratio of adults to kids is 5:6, we can set up the following equation:
5x + 6x = 132
Adding the like terms, we have:
11x = 132
To solve for x, we divide both sides of the equation by 11:
x = 132/11 = 12
So, each x represents 12 people. Since we are looking for the number of kids, we multiply the value of x by 6:
12 x 6 = 72
Therefore, there are 72 kids waiting in line.
To answer the question, we need to find the number of kids waiting in line.
First, let's analyze the information provided in the image. We see that there are two sets of rectangles labeled "Adults" and "Kids". The "Adults" set consists of 5 rectangles, and the "Kids" set consists of 6 rectangles. These rectangles represent the number of adults and kids waiting in line.
The bracket on the right side points to the number 132. This number represents the total number of people in line before the amusement park officially opens.
Now, we need to use the given ratio of adults to kids, which is 5:6. This ratio tells us that for every 5 adults, there are 6 kids in line.
To calculate the number of kids, we can set up a proportion using the information from the ratio.
The proportion can be written as:
Number of adults / Number of kids = Ratio of adults to kids
Let's assign variables to the unknowns:
Number of adults = A
Number of kids = K
So, the proportion becomes:
A / K = 5 / 6
Cross multiplying the proportion, we get:
6A = 5K
Now, we can solve for the number of kids (K):
K = (6/5)A
Since the total number of people in line is 132, we know that the sum of the adults and kids should equal 132.
Therefore, we have the equation:
A + K = 132
Substituting the expression for K from the proportion we found earlier:
A + (6/5)A = 132
Combining like terms, we get:
(11/5)A = 132
Now, we can solve for A:
A = (5/11) * 132
A ≈ 60
Now substituting the value of A back into the equation for K:
K = (6/5) * 60
K = 72
Therefore, there are 72 kids waiting in line.