Question

A marine biologist and her team capture 40 sea turtles and mark them before releasing them. The following year, they capture 60 sea turtles at the same location. Of the 60 sea turtles, only 15 have the mark from the prior year. What is the estimated population of sea turtles for that location?
7 sea turtles
23 sea turtles
160 sea turtles
240 sea turtles

Answer 1

The estimated population of the sea turtles for that location is 160 turtles  

Let b represent the total turtles in the location.

Data obtained from the question

• Marked turtle = 40

• Captured turtle = 60

• Captured marked turtle = 15

• Total turtle = b =?

The estimated turtles in sea can be obtained as follow:

Mark in sea / Total in sea = captured marked turtle / Captured turtle

40 / b = 15 / 60

Cross multiply

b × 15 = 40 × 60

b × 15 = 2400

Divide both side by 15

b = 2400 / 15

b = 160 turtles

Thus, the estimated turtles in the sea is 160 turtles

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