In a certain pond, 30 fish were caught, tagged, and returned to the pond.

In a certain pond, 30 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?

Quiz

Answer/Solution

750

Steps/Work

This is a rather straight forward ratio problem.
1. 30 fish tagged
2. 2 out of the 50 fish caught were tagged thus 2/50
2/50=30/x
thus, x=750
Think of the analogy: 2 fish is to 50 Fish as 50 fish is to ...?
You've tagged 50 fish and you need to find what that comprises as a percentage of the total fish population - we have that information with the ratio of the second catch.
A

Gain Calculator / Auto Solver

In a certain pond, fish were caught, tagged, and returned to the pond. A few days later, fish were caught again, of which were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?

Calculated Answer

750

Step by Step Solution

In order to solve problem, you must evaluate n0 / (n2 / n1).

n0 =30
n1 =50
n2 =2