Question

To determine the number of deer in a game​ preserve, a conservationist catches 594 ​deer, tags them and lets them loose.​ Later, 748 deer are ​caught; 187 of them are tagged. How many deer are in the​ preserve?

Answer 1

We have been given that to determine the number of deer in a game​ preserve, a conservationist catches 594 ​deer, tags them and lets them loose.​ Later, 748 deer are ​caught; 187 of them are tagged. We are asked to find the number of deer in the preserve.

We will use proportions to solve our given problem.

$\frac{\text{Total deer population}}{\text{Caught deer population}}=\frac{\text{Caught deer}}{\text{Tagged deer}}$

$\frac{\text{Total deer population}}{594}=\frac{748}{187}$

$\frac{\text{Total deer population}}{594}\times 594=\frac{748}{187}\times 594$

$\text{Total deer population}=4\times 594$

$\text{Total deer population}=2376$

Therefore, there are 2376 deer in the preserve.