There are sixteen berries in a fruit bowl. The ratio of blueberries to strawberries is 3 to 1. What value should be inserted into each rectangle?
(1 point)
The number
should be inserted into each rectangle.
To determine the number of blueberries and strawberries in the fruit bowl, we need to divide the berries into four equal parts (3 + 1 = 4 parts for the ratio).
Each part represents four berries (16 berries / 4 parts = 4 berries per part).
Therefore, the number of blueberries is 3 parts * 4 berries per part = <<3*4=12>>12.
And the number of strawberries is 1 part * 4 berries per part = <<1*4=4>>4.
So, the value that should be inserted into each rectangle is 12 for the blueberries and 4 for the strawberries.
To determine the value that should be inserted into each rectangle, let's use the given ratio of blueberries to strawberries, which is 3 to 1.
Since the total number of berries in the fruit bowl is 16, we can set up proportions to find the values.
Let x be the value representing blueberries and y be the value representing strawberries.
We can create the following proportion:
3/1 = x/y
Cross-multiplying, we get:
3y = x
Since the total number of berries is 16, we can create the following equation:
x + y = 16
Substituting 3y for x, we can rewrite the equation as:
3y + y = 16
Simplifying, we have:
4y = 16
Dividing both sides by 4, we get:
y = 4
Therefore, the value that should be inserted into each rectangle is 4.
The number 4 should be inserted into each rectangle.
To determine the number of blueberries and strawberries, we first need to find the total number of parts in the ratio. In this case, the ratio of blueberries to strawberries is 3 to 1, which means there are 3 + 1 = 4 parts in total.
To find the value of each part, divide the total number of berries (16) by the number of parts (4):
16 / 4 = 4
Therefore, each part represents a value of 4.
To find the number of blueberries, multiply the value of each part (4) by the number of parts representing blueberries (3):
4 x 3 = 12
To find the number of strawberries, multiply the value of each part (4) by the number of parts representing strawberries (1):
4 x 1 = 4
Hence, the value that should be inserted into each rectangle is:
12 for the blueberries, and
4 for the strawberries.