A park ranger wants to estimate the number of fish in a lake.
She catches 400 fish.
She marks them with ink and puts them back in the lake.
The next day she catches 60 fish.
There are 3 marked with ink.
Work out how many fish the ranger would expect to have in the whole lake.
Answers
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There should be 8,000 fish
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Given:
Total number of marked fished = 400
Total number of catch = 60 fishes or which 3 are marked.
To Find:
Estimate the number of fish in the lake
Explanation:
The 3 marked fish in 60 fish tell us that for every 60 fish that is caught, there will be 3 marked fish. This number will increase proportionally as the number of fish caught. So we find out how many fish will there be if all the 400 marked fish are caught.
Solution:
Ratio of marked fish : total fish = 3 : 60
Estimated total number of fish = (400 ÷ 3) x 60
Estimated total number of fish = 8000
Answer: The number of fish in the lake is estimated to be about 8000
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