Certainly, let's walk through the problem step by step.
We are given that:
- The total number of pieces of food eaten is [tex]\(300\)[/tex].
- The total number of birds is [tex]\(30\)[/tex].
- We need to determine the number of birds in each flock based on the food percentage they consumed.
### Step 1: Understand the Information Provided
We don't have specific values provided for the pieces of food eaten by each flock. The problem only gives us the resulting values after calculations. These values are percentages and the corresponding number of birds for each flock is calculated based on that.
### Step 2: Calculate the Percentage of Food Eaten by Each Flock
As the result is:
[tex]\[ (0.0, 0.0, 0.0, 0.0, 0.0, 0.0) \][/tex]
We interpret it as:
- Flock X ate [tex]\(0.0\%\)[/tex] of the total food.
- Flock Y ate [tex]\(0.0\%\)[/tex] of the total food.
- Flock Z ate [tex]\(0.0\%\)[/tex] of the total food.
### Step 3: Multiply the Food Percentage for Each Flock by the Total Number of Birds
Next, we use the percentages to find out how many birds are in each flock. Since each percentage is [tex]\(0.0\%\)[/tex], the number of birds in each flock would be:
[tex]\[ \text{Number of Birds in Flock X} = 0.0 \times 30 = 0.0 \][/tex]
[tex]\[ \text{Number of Birds in Flock Y} = 0.0 \times 30 = 0.0 \][/tex]
[tex]\[ \text{Number of Birds in Flock Z} = 0.0 \times 30 = 0.0 \][/tex]
### Step 4: Final Result
So, the percentages and the number of birds in each flock are:
- Flock X: [tex]\(0.0\%\)[/tex], [tex]\(0.0\)[/tex] birds
- Flock Y: [tex]\(0.0\%\)[/tex], [tex]\(0.0\)[/tex] birds
- Flock Z: [tex]\(0.0\%\)[/tex], [tex]\(0.0\)[/tex] birds
In conclusion, each flock ate [tex]\(0.0\%\)[/tex] of the total food provided and, hence, there are [tex]\(0.0\)[/tex] birds in each flock based on this distribution.
