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}=(748)/(187)`

`\frac{\text{Total deer population}}{594}* 594=(748)/(187)* 594`

`\text{Total deer population}=4* 594`

`\text{Total deer population}=2376`

Therefore, there are 2376 deer in the preserve.