Answer :
To solve this question, we need to find the food percentage for each flock and the number of birds in the second generation for each flock based on the food they have eaten.
Given:
- Total pieces of food available: [tex]\( 300 \)[/tex]
- Total number of birds: [tex]\( 30 \)[/tex]
- Food eaten by each flock:
- Flock X: [tex]\( 123 \)[/tex]
- Flock Y: [tex]\( 99 \)[/tex]
- Flock Z: [tex]\( 78 \)[/tex]
### Step 1: Calculate the food percentage for each flock.
To find the food percentage for each flock, we divide the amount of food each flock has eaten by the total food available.
For Flock X:
[tex]\[ \text{Food Percentage}_X = \frac{123}{300} = 0.41 \quad (\text{rounded to two decimal places}) \][/tex]
For Flock Y:
[tex]\[ \text{Food Percentage}_Y = \frac{99}{300} = 0.33 \quad (\text{rounded to two decimal places}) \][/tex]
For Flock Z:
[tex]\[ \text{Food Percentage}_Z = \frac{78}{300} = 0.26 \quad (\text{rounded to two decimal places}) \][/tex]
### Step 2: Calculate the number of birds in the second generation for each flock.
To find the number of birds in the second generation, we multiply the food percentage for each flock by the total number of birds.
For Flock X:
[tex]\[ \text{Birds in 2nd Gen}_X = 0.41 \times 30 = 12.3 \][/tex]
For Flock Y:
[tex]\[ \text{Birds in 2nd Gen}_Y = 0.33 \times 30 = 9.9 \][/tex]
For Flock Z:
[tex]\[ \text{Birds in 2nd Gen}_Z = 0.26 \times 30 = 7.8 \][/tex]
### Summary:
[tex]\[ \begin{array}{|c|c|c|c|} \hline & \text{Flock X} & \text{Flock Y} & \text{Flock Z} \\ \hline \text{Total Pieces of Food Eaten} & 123 & 99 & 78 \\ \hline \text{Food Percentage} & 0.41 & 0.33 & 0.26 \\ \hline \text{Simulated Number of Birds in Flock for 2nd Generation} & 12.3 & 9.9 & 7.8 \\ \hline \end{array} \][/tex]
Thus, based on the food each flock has eaten, Flock X's food percentage is 0.41, Flock Y's food percentage is 0.33, and Flock Z's food percentage is 0.26. Additionally, in the second generation, Flock X will have 12.3 birds, Flock Y will have 9.9 birds, and Flock Z will have 7.8 birds.
Given:
- Total pieces of food available: [tex]\( 300 \)[/tex]
- Total number of birds: [tex]\( 30 \)[/tex]
- Food eaten by each flock:
- Flock X: [tex]\( 123 \)[/tex]
- Flock Y: [tex]\( 99 \)[/tex]
- Flock Z: [tex]\( 78 \)[/tex]
### Step 1: Calculate the food percentage for each flock.
To find the food percentage for each flock, we divide the amount of food each flock has eaten by the total food available.
For Flock X:
[tex]\[ \text{Food Percentage}_X = \frac{123}{300} = 0.41 \quad (\text{rounded to two decimal places}) \][/tex]
For Flock Y:
[tex]\[ \text{Food Percentage}_Y = \frac{99}{300} = 0.33 \quad (\text{rounded to two decimal places}) \][/tex]
For Flock Z:
[tex]\[ \text{Food Percentage}_Z = \frac{78}{300} = 0.26 \quad (\text{rounded to two decimal places}) \][/tex]
### Step 2: Calculate the number of birds in the second generation for each flock.
To find the number of birds in the second generation, we multiply the food percentage for each flock by the total number of birds.
For Flock X:
[tex]\[ \text{Birds in 2nd Gen}_X = 0.41 \times 30 = 12.3 \][/tex]
For Flock Y:
[tex]\[ \text{Birds in 2nd Gen}_Y = 0.33 \times 30 = 9.9 \][/tex]
For Flock Z:
[tex]\[ \text{Birds in 2nd Gen}_Z = 0.26 \times 30 = 7.8 \][/tex]
### Summary:
[tex]\[ \begin{array}{|c|c|c|c|} \hline & \text{Flock X} & \text{Flock Y} & \text{Flock Z} \\ \hline \text{Total Pieces of Food Eaten} & 123 & 99 & 78 \\ \hline \text{Food Percentage} & 0.41 & 0.33 & 0.26 \\ \hline \text{Simulated Number of Birds in Flock for 2nd Generation} & 12.3 & 9.9 & 7.8 \\ \hline \end{array} \][/tex]
Thus, based on the food each flock has eaten, Flock X's food percentage is 0.41, Flock Y's food percentage is 0.33, and Flock Z's food percentage is 0.26. Additionally, in the second generation, Flock X will have 12.3 birds, Flock Y will have 9.9 birds, and Flock Z will have 7.8 birds.
