Trout Percentage in Lake Sample

1000BeginnerStatisticsCombinatoricsAlgebra

AMC 8 · 2023 · Problem 5

A lake contains $250$ trout, along with a variety of other fish. When a marine biologist catches and releases a sample of $180$ fish from the lake, $30$ are identified as trout. Assume that the ratio of trout to the total number of fish is the same in both the sample and the lake. How many fish are there in the lake?

Answer choices

1250

1500

1750

1800

2000

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