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.
[tex]\frac{\text{Total deer population}}{\text{Caught deer population}}=\frac{\text{Caught deer}}{\text{Tagged deer}}[/tex]
[tex]\frac{\text{Total deer population}}{594}=\frac{748}{187}[/tex]
[tex]\frac{\text{Total deer population}}{594}\times 594=\frac{748}{187}\times 594[/tex]
[tex]\text{Total deer population}=4\times 594[/tex]
[tex]\text{Total deer population}=2376[/tex]
Therefore, there are 2376 deer in the preserve.
