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Some farmers were monitoring the population of roe deer on their land. First, the farmers marked $92$ roe deer. Later, the farmers counted a total of $290$ roe deer, of which $29$ were marked. To the nearest whole number, what is the best estimate for the roe deer population?

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Estimate population size using proportions

Full solution

Q. Some farmers were monitoring the population of roe deer on their land. First, the farmers marked

92

roe deer. Later, the farmers counted a total of

290

roe deer, of which

29

were marked. To the nearest whole number, what is the best estimate for the roe deer population?

Set up proportion: Step $1$ : Set up the proportion based on the capture-recapture method.
Solve proportion: Step $2$ : Solve the proportion by cross-multiplying to find $p$ .
Isolate and solve: Step $3$ : Divide both sides by $29$ to isolate $p$ and solve for the estimated population.

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