Answer
\[6000\]
Work Step by Step
Take the total number of elk in the park is\[x\]. As from the given statement, it says that \[150\]elk in which \[5\] are tagged and this ratio will be equal for all elk in the refuge, so there are \[200\]elk back into a refugee in which they are tagged.
So,apply the proportion in which two ratios are equal to find the total number of elk in the park that is written below:
\[\begin{align}
& \frac{a}{b}=\frac{c}{d} \\
& \frac{150}{5}=\frac{x}{200} \\
& 30=\frac{x}{200} \\
& x=6000
\end{align}\]
So, there are \[6000\]elk in the park.
Hence, a total number of elk in the park is\[6000\].
