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.
There are 18 red apples needed.
Since the tape diagram shows the ratio of red apples to green apples, we can determine the number of red apples needed by comparing the division of rectangles.
The first set of rectangles, labeled red apples, is divided into 3 equal parts horizontally. The second set, labeled green apples, is divided into 2 equal parts horizontally.
If we have 12 green apples, we can use the tape diagram to find the number of red apples needed.
The ratio of red apples to green apples is given by the ratio of the number of rectangles in the first set to the number of rectangles in the second set.
In this case, the ratio of red apples to green apples is 3 rectangles (red apples) to 2 rectangles (green apples).
Therefore, if there are 12 green apples, we can calculate the number of red apples needed using the ratio:
(3 rectangles / 2 rectangles) * 12 green apples = 18 red apples
So, there are 18 red apples needed.
To determine how many red apples are needed when there are 12 green apples, we need to use the information provided in the illustration. Let's analyze the image and the tape diagram given.
The illustration shows two sets of rectangles representing red apples and green apples. The red apple rectangle is divided equally into three parts horizontally, and the green apple rectangle is divided equally into two parts horizontally.
To find the ratio of red apples to green apples, we can compare the number of parts in each rectangle. Since the red apple rectangle has three parts and the green apple rectangle has two parts, the ratio of red apples to green apples is 3:2.
Now, we are given that there are 12 green apples. To find the number of red apples needed, we can set up a proportion using the ratio we found earlier:
Red apples / Green apples = 3/2
Plugging in the given information, we have:
Red apples / 12 = 3/2
To solve for the number of red apples, we can cross multiply:
(2 * Red apples) = (3 * 12)
2 * Red apples = 36
Red apples = 36 / 2 = 18
Therefore, there are 18 red apples needed if there are 12 green apples.