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?
The number should be inserted into each rectangle.
Based on the given information, we can determine that the ratio of blueberries to strawberries in a fruit bowl is 3 to 1.
Let's assume the number of blueberries is represented by "3x" and the number of strawberries is represented by "x".
Therefore, the number of blueberries in the fruit bowl is 3x, and the number of strawberries is x.
Since there are sixteen berries in total, we can write the equation: 3x + x = 16.
Combining like terms, we have 4x = 16.
To solve for x, we divide both sides of the equation by 4: x = 16/4 = 4.
So, the number value to be inserted in each rectangle is 4.
To find the value that should be inserted into each rectangle, we need to calculate the actual numbers of blueberries and strawberries in the fruit bowl.
Let's represent the number of blueberries as "3x" and the number of strawberries as "x", where x is a constant.
According to the given ratio, the number of blueberries to strawberries is 3:1. This means that for every 3 blueberries, there is 1 strawberry.
Therefore, the equation to represent the ratio is:
3x / x = 3/1
To solve for x, we cross-multiply:
3x = 1 * x
Simplifying the equation, we have:
3x = x
Subtracting x from both sides of the equation, we get:
2x = 0
Dividing both sides by 2, we find:
x = 0
Since x = 0, we can insert this value into each rectangle to determine the number of blueberries and strawberries.
The number of blueberries = 3x = 3 * 0 = 0
The number of strawberries = x = 0
Therefore, the value that should be inserted into each rectangle is 0.
To find the value that should be inserted into each rectangle, we need to determine the number of blueberries and strawberries in the fruit bowl.
Given that the ratio of blueberries to strawberries is 3 to 1, we can set up the equation:
3x + x = 16
Here, 3x represents the number of blueberries (since there are three parts of blueberries in the ratio), and x represents the number of strawberries (one part of strawberries in the ratio).
Simplifying the equation, we get:
4x = 16
To solve for x, divide both sides of the equation by 4:
x = 16/4
x = 4
Therefore, the value that should be inserted into each rectangle is 4.