Use the image to answer the question.
An illustration shows two sets of rectangles. The first set, labeled red apples, shows a rectangle divided equally into three parts horizontally. The second set, labeled green apples, shows a rectangle divided equally into two parts horizontally.
The tape diagram shows the ratio of red apples to green apples. How many red apples are needed if there are 12 green apples?
(1 point)
There are
red apples needed.
To determine the number of red apples needed, we need to find the ratio of red apples to green apples. From the image, we can see that there are three horizontal parts in the rectangle representing red apples and two horizontal parts in the rectangle representing green apples.
So, the ratio of red apples to green apples is 3:2.
If there are 12 green apples, we can use this ratio to find the number of red apples needed.
3/2 = x/12
Cross multiplying, we get:
2x = 3*12
2x = 36
Dividing both sides by 2, we get:
x = 18
Therefore, there are 18 red apples needed.
To find the number of red apples needed when there are 12 green apples, we can compare the ratio between the red apples and green apples shown in the tape diagram.
From the image, we can see that the first set of rectangles, labeled red apples, is divided equally into three parts horizontally, while the second set, labeled green apples, is divided equally into two parts horizontally.
This means that the ratio of red apples to green apples is 3:2.
To find the number of red apples needed, we can set up a proportion:
red apples / green apples = ratio of red apples to green apples
Let's substitute the given values:
red apples / 12 green apples = 3/2
To solve for red apples, we can cross multiply:
2 * red apples = 3 * 12
2 * red apples = 36
Now, divide both sides of the equation by 2:
red apples = 36 / 2
red apples = 18
Therefore, there are 18 red apples needed if there are 12 green apples.
To answer the question, we first need to understand the ratio of red apples to green apples shown in the tape diagram. Looking at the image, we can see that the first set of rectangles represents the red apples and is divided equally into three parts horizontally. The second set represents the green apples and is divided equally into two parts horizontally.
The ratio of red apples to green apples can be determined by comparing the number of parts in each set. In this case, there are three parts for the red apples and two parts for the green apples.
To find out how many red apples are needed if there are 12 green apples, we can set up a proportion. Since the ratio is 3 parts of red apples to 2 parts of green apples, we can write the proportion as:
3 parts of red apples/2 parts of green apples = x red apples/12 green apples
To find the value of x, we can cross-multiply and solve for x:
2 * x = 3 * 12
2x = 36
x = 18
Therefore, there are 18 red apples needed if there are 12 green apples.