\begin{tabular}{|l|l|l|l|}
\cline { 2 - 4 } & Flock X & Flock Y & Flock Z \\
\hline \begin{tabular}{l}
Total Pieces of Food Eaten \\
(from previous page)
\end{tabular} & 147 & 93 & 60 \\
\hline Food Percentage & & & \\
\hline Simulated Number of Birds in Flock for 3rd Generation & & & \\
\hline
\end{tabular}

Divide each flock's total pieces of food by 300, the total number of pieces of food eaten.
Multiply the food percentage for each flock by the total number of birds (30).



Answer :

Sure! Let's fill in the table and provide a detailed step-by-step solution for the given problem:

1. Given Data:
- Total pieces of food eaten by all flocks = 300
- Pieces of food eaten by Flock X = 147
- Pieces of food eaten by Flock Y = 93
- Pieces of food eaten by Flock Z = 60
- Total number of birds = 30

2. Calculate the Food Percentage for Each Flock:
- For Flock X:
[tex]\[ \text{Food Percentage for Flock X} = \frac{\text{Pieces of food eaten by Flock X}}{\text{Total pieces of food eaten}} = \frac{147}{300} = 0.49 \][/tex]
- For Flock Y:
[tex]\[ \text{Food Percentage for Flock Y} = \frac{\text{Pieces of food eaten by Flock Y}}{\text{Total pieces of food eaten}} = \frac{93}{300} = 0.31 \][/tex]
- For Flock Z:
[tex]\[ \text{Food Percentage for Flock Z} = \frac{\text{Pieces of food eaten by Flock Z}}{\text{Total pieces of food eaten}} = \frac{60}{300} = 0.20 \][/tex]

3. Calculate the Simulated Number of Birds in Each Flock for 3rd Generation:
- For Flock X:
[tex]\[ \text{Number of Birds in Flock X} = \text{Food Percentage for Flock X} \times \text{Total number of birds} = 0.49 \times 30 = 14.7 \][/tex]
- For Flock Y:
[tex]\[ \text{Number of Birds in Flock Y} = \text{Food Percentage for Flock Y} \times \text{Total number of birds} = 0.31 \times 30 = 9.3 \][/tex]
- For Flock Z:
[tex]\[ \text{Number of Birds in Flock Z} = \text{Food Percentage for Flock Z} \times \text{Total number of birds} = 0.20 \times 30 = 6.0 \][/tex]

Now, let's fill in the table with these results:

[tex]\[ \begin{tabular}{|l|l|l|l|} \cline { 2 - 4 } & \text{Flock X} & \text{Flock Y} & \text{Flock Z} \\ \hline \begin{tabular}{l} \text{Total Pieces of Food Eaten} \\ \text{(from previous page)} \end{tabular} & 147 & 93 & 60 \\ \hline \text{Food Percentage} & 0.49 & 0.31 & 0.20 \\ \hline \begin{tabular}{l} \text{Simulated Number of Birds in} \\ \text{Flock for 3rd Generation} \end{tabular} & 14.7 & 9.3 & 6.0 \\ \hline \end{tabular} \][/tex]

By following the steps outlined above, we have calculated the food percentages and the simulated number of birds for each flock for the 3rd generation successfully.