\begin{tabular}{|c|c|c|c|}
\hline & Flock X & Flock Y & Flock Z \\
\hline \begin{tabular}{l}
Total Pieces of Food Eaten \\
\end{tabular} & 123 & 99 & 78 \\
\hline Food Percentage & [tex]$\square \%$[/tex] & [tex]$\square \%$[/tex] & 7\% \\
\hline Simulated Number of Birds & [tex]$\square$[/tex] & [tex]$\square$[/tex] & [tex]$\square$[/tex] \\
\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 :

Let's proceed step by step to fill out the given table.

1. Calculate the food percentage for each flock:

- Flock X:
- Total pieces of food eaten: 123
- Total pieces of food available: 300
- Food percentage for Flock X = [tex]\( \frac{123}{300} \times 100 = 41.0\% \)[/tex]

- Flock Y:
- Total pieces of food eaten: 99
- Total pieces of food available: 300
- Food percentage for Flock Y = [tex]\( \frac{99}{300} \times 100 = 33.0\% \)[/tex]

- Flock Z:
- Food percentage provided directly = 7%

2. Calculate the simulated number of birds for each flock based on the percentage of food they consumed:

- Total number of birds: 30

- Flock X:
- Food percentage: 41.0%
- Simulated number of birds = [tex]\( \frac{41.0}{100} \times 30 = 12.3 \)[/tex]

- Flock Y:
- Food percentage: 33.0%
- Simulated number of birds = [tex]\( \frac{33.0}{100} \times 30 = 9.9 \)[/tex]

Flock Z is not asked for the number of birds in the table, so we will leave it blank.

Based on these calculations, the completed table should be:

\begin{tabular}{|c|c|c|c|}
\hline & Flock X & Flock Y & Flock Z \\
\hline \begin{tabular}{l}
Total Pieces of Food Eaten \\
(from previous page)
\end{tabular} & 123 & 99 & 78 \\
\hline Food Percentage & 41.0\% & 33.0\% & 7\% \\
\hline Simulated Number of Birds & 12.3 & 9.9 & \\
\hline
\end{tabular}