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?
Since the ratio of adults to kids waiting to get in is 5:6 and there are 132 people in line before the amusement park officially opens, we can set up the following proportion:
Adults : Kids = 5 : 6
Let's assume that the number of adults waiting in line is 5x and the number of kids waiting in line is 6x. Therefore, the total number of people in line can be expressed as:
5x + 6x = 132
11x = 132
Dividing both sides of the equation by 11, we get:
x = 12
Now, we can find the number of kids waiting in line:
Number of kids = 6x = 6 * 12 = 72
Therefore, there are 72 kids waiting in line.
Use the image to answer the question.
An illustration shows a set of three adjacent rectangles labeled as Eggs. Another set of two adjacent rectangles is labeled as Sausages and is placed below eggs. All rectangles have the same dimensions. An upward-facing bracket above the center rectangle in Eggs points to the number 12.
Edgar is making an egg casserole for brunch. He needs eggs and sausages in the ratio of 3:2 . If he is going to use 12 eggs, how many sausages does he need?
(1 point)
Responses
5 sausages
5 sausages
12 sausages
12 sausages
20 sausages
20 sausages
8 sausages
Since the ratio of eggs to sausages needed for the casserole is 3:2 and Edgar is using 12 eggs, we can set up the following proportion:
Eggs : Sausages = 3 : 2
Let's assume that the number of sausages Edgar needs is 2x. Therefore, the number of eggs is 3x. Since we know that Edgar is using 12 eggs, we can substitute this value into the equation:
3x = 12
Dividing both sides of the equation by 3, we get:
x = 4
Now, we can find the number of sausages Edgar needs:
Number of sausages = 2x = 2 * 4 = 8
Therefore, Edgar needs 8 sausages for the egg casserole.
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Question
Use the image to answer the question.
An illustration shows a set of three adjacent boxes labeled as Shorts. Another set of four adjacent rectangles is labeled as Pants and is placed below Shorts. All rectangles have the same dimensions. A bracket on the right side encompasses both sets and points to the number 70.
A clothing store has pants and shorts for sale in a ratio of 4:3 . If there are a total of 70 pants and shorts available for sale, how many of those are shorts?
(1 point)
Responses
10 shorts
10 shorts
40 shorts
40 shorts
30 shorts
30 shorts
21 shorts
Since the ratio of pants to shorts available for sale is 4:3 and there is a total of 70 pants and shorts available, we can set up the following proportion:
Pants : Shorts = 4 : 3
Let's assume that the number of shorts available is 3x. Therefore, the number of pants available is 4x. Since we know that there is a total of 70 pants and shorts available, we can substitute this value into the equation:
4x + 3x = 70
7x = 70
Dividing both sides of the equation by 7, we get:
x = 10
Now, we can find the number of shorts:
Number of shorts = 3x = 3 * 10 = 30
Therefore, there are 30 shorts available for sale.
The ratio of adults to kids waiting to get in is 5:6.
Since there are a total of 132 people in line, we can represent the total as the sum of the two parts of the ratio: 5 + 6 = 11 parts.
To find the number of kids waiting in line, we need to determine how many parts represent the kids. Since the ratio of adults to kids is 5:6, the part representing the kids is 6 out of the total of 11 parts.
To calculate the number of kids waiting, we divide the total number of people (132) by the total number of parts (11) and then multiply by the number of parts representing the kids (6).
Number of kids waiting = (6 / 11) * 132
= 72
Therefore, there are 72 kids waiting in line.
To answer the question, we need to determine the number of kids waiting in line.
We are given that the ratio of adults to kids waiting in line is 5:6. This means that for every 5 adults, there are 6 kids.
The total number of rectangles in the "Adults" set is 5. This represents the number of groups of 5 adults. So, the number of adults waiting in line can be calculated by multiplying the number of rectangles (5) by the number of adults in each group (5 adults).
Number of adults waiting in line = 5 rectangles × 5 adults/rectangle = 25 adults
Now, we need to find the number of kids waiting in line. Since the ratio of adults to kids is 5:6, we can set up a proportion:
5 adults/6 kids = 25 adults/x kids
We can cross-multiply to solve for x:
5x = 25 * 6
5x = 150
x = 150/5
x = 30
Therefore, there are 30 kids waiting in line.