Question

To determine the number of squirrels in an area, a researcher captured, tagged, and released 114 squirrels. Later he catches 97 squirrels and finds that 33 of them are tagged. About how many squirrels are in this area Round to the nearest whole number.

Answer 1

Answer:

Total number of squirrels in the area is 335.

Step-by-step explanation:

Let the total number of squirrels in that area = x

Since a researcher captured and tagged number of squirrels = 114

So the ratio of total and tagged squirrels = $\frac{x}{114}$ = x : 114

Later he catches total squirrels = 97

Out of which number of squirrels found tagged = 33

So the ration of total squirrels captured and tagged = $\frac{97}{33}$ = 97 : 33

Now Both the ratios found will be same,

x : 114 :: 97 : 33

$\frac{x}{114}=\frac{97}{33}$

x = $\frac{97\times 114}{33}$

x = 335.091

x ≈ 335 squirrels

Therefore, total number of squirrels in that area is 335.