Let's walk through the steps to solve the given problem:
1. Identify the food consumption for each flock:
- Flock X: 123 pieces
- Flock Y: 99 pieces
- Flock Z: 78 pieces
2. Identify the total number of food pieces eaten by all flocks:
- Total food pieces: 300 pieces
3. Calculate the percentage of total food consumed by each flock:
- For Flock X:
[tex]\[
\text{Percentage of Flock X} = \left(\frac{123}{300}\right) \times 100 = 41.0\%
\][/tex]
- For Flock Y:
[tex]\[
\text{Percentage of Flock Y} = \left(\frac{99}{300}\right) \times 100 = 33.0\%
\][/tex]
- For Flock Z:
[tex]\[
\text{Percentage of Flock Z} = \left(\frac{78}{300}\right) \times 100 = 26.0\%
\][/tex]
4. Identify the total number of birds in all flocks:
- Total number of birds: 30
Summarizing these, the food percentages and total number of birds are as follows:
- The percentage of food consumed by Flock X is 41.0%.
- The percentage of food consumed by Flock Y is 33.0%.
- The percentage of food consumed by Flock Z is 26.0%.
- The total number of birds across all flocks is 30.
Hence, our final results are:
[tex]\[
(41.0, 33.0, 26.0, 30)
\][/tex]
These values represent the percentage of the total food eaten by each flock and the total number of birds involved.
