Use the image to answer the question.
An illustration shows two sets of rectangles. The first set, labeled raspberries, shows a rectangle divided into four equal parts horizontally. The second set, labeled blueberries, shows a rectangle divided into five equal parts horizontally.
The tape diagram shows the number of raspberries and blueberries in a mixture. How many raspberries are there if there are 100 blueberries?
(1 point)
Responses
400
400
500
500
80
80
125
125
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The correct answer is: 80
To find the number of raspberries, we need to compare the number of blueberries and raspberries based on the given tape diagram.
From the image, we can see that the rectangle representing blueberries is divided into 5 equal parts horizontally. This means that each part represents 1 blueberry.
Since there are 100 blueberries, we can determine the number of parts in the rectangle representing blueberries by dividing 100 by the number of blueberries per part:
100 blueberries / 1 blueberry per part = 100 parts
Now, since the rectangle representing raspberries is divided into 4 equal parts horizontally, each part represents 1 raspberry.
Therefore, the number of raspberries is equal to the number of parts in the rectangle representing raspberries, which is 100 parts.
So, the answer is 100 raspberries.
To answer this question, we need to use the information given in the image. The image shows two sets of rectangles, one labeled "raspberries" and the other labeled "blueberries."
In the raspberries set, there is a rectangle divided into four equal parts horizontally. In the blueberries set, there is a rectangle divided into five equal parts horizontally.
The tape diagram shows the number of raspberries and blueberries in a mixture. We are given that there are 100 blueberries in the mixture.
To find the number of raspberries, we need to determine the ratio between raspberries and blueberries based on the division of the rectangles in the image.
Comparing the division of the rectangles, we can see that the number of blueberry parts is 5, and the number of raspberry parts is 4.
Since the ratio between blueberries and raspberries is 5:4, we can set up a proportion:
blueberries / raspberries = 5 / 4
Substituting the value of blueberries (100) into the proportion:
100 / raspberries = 5 / 4
To solve for raspberries, we can cross-multiply:
5 * raspberries = 4 * 100
5 * raspberries = 400
Dividing both sides by 5:
raspberries = 400 / 5
raspberries = 80
Therefore, there are 80 raspberries if there are 100 blueberries.