there are sixteen berries in a fruit bowl. the ratio of blueberries to strawberries is 3 to1.what value should be inserted into each rectangle?
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 total number of berries (16) into 4 equal parts (3 parts for blueberries and 1 part for strawberries).
To find the value for each part, we divide 16 by 4:
16 ÷ 4 = 4
Therefore, the value that should be inserted into each rectangle is 4.
To determine the value of each rectangle, we need to divide the 16 berries into the ratio of 3:1 for blueberries to strawberries.
Let's denote the number of blueberries as "3x" and the number of strawberries as "x." The total number of berries can be represented as follows:
3x + x = 16
Combining like terms, we have:
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:
The number [ 4 ] should be inserted into each rectangle.
To determine the value that should be inserted into each rectangle, let's analyze the given information:
1. The ratio of blueberries to strawberries is 3 to 1.
This means that for every 3 blueberries, there is 1 strawberry. We can write this ratio as 3:1.
2. There are sixteen berries in total.
Since the ratio is given in terms of blueberries and strawberries, we can represent the total number of berries as 3x + x, where x represents the number of strawberries.
We can set up an equation based on the given information:
3x + x = 16
Simplifying the equation, we get:
4x = 16
To find the value of x, we need to divide both sides of the equation by 4:
4x/4 = 16/4
x = 4
So, the value of x is 4, which represents the number of strawberries.
Now, we can insert this value into each rectangle:
The number [4] should be inserted into the rectangle representing strawberries.
The number [3 × 4 = 12] should be inserted into the rectangle representing blueberries.
Therefore, the value that should be inserted into each rectangle is 4 for strawberries and 12 for blueberries.