Question

Game wardens use experiments to help determine the number of squirrels in a specific area. Suppose 150 squirrels are caught, tagged, and released back into the wild. Six weeks later, 300 squirrels are caught with 12 found to have tags. Using this information, estimate the number of squirrels in the area.

Answer 1

The total estimated population is 3750 squirrels. (Sorry for the bad writing)

Answer 2

Total number of squirrels in the area are 3750.

Explanation:

Let, total number of squirrels = x

We are given that,

Number of squirrels tagged = 150

After six weeks, we have,

Number of squirrels caught = 200

Number of squirrels tagged out of 200 = 12

Then, we have the relation between squirrels tagged and total number of squirrels is
`(12)/(300)=(150)/(x)`

Upon solving, we have,

`(12)/(300)=(150)/(x)\\\\x=(150* 300)/(12)\\\\x=3750`

Thus, the total number of squirrels in the area are 3750.