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Some researchers wanted to know how many salmon were in a local river. The researchers marked $640$ salmon with tags. Later, they captured $450$ salmon and found that $16$ of them had tags. To the nearest whole number, what is the best estimate for the salmon population?

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Grade 7

Estimate population size using proportions

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Q. Some researchers wanted to know how many salmon were in a local river. The researchers marked

640

salmon with tags. Later, they captured

450

salmon and found that

16

of them had tags. To the nearest whole number, what is the best estimate for the salmon population?

Set up proportion: Step $1$ : Set up the proportion based on the capture-recapture method.
Solve for $p$ : Step $2$ : Solve for $p$ using cross multiplication.
Isolate $p$ : Step $3$ : Divide both sides by $16$ to isolate $p$ .

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Some researchers wanted to know how many salmon were in a local river. The researchers marked 640640640 salmon with tags. Later, they captured 450450450 salmon and found that 161616 of them had tags. To the nearest whole number, what is the best estimate for the salmon population?

Some researchers wanted to know how many salmon were in a local river. The researchers marked $640$ salmon with tags. Later, they captured $450$ salmon and found that $16$ of them had tags. To the nearest whole number, what is the best estimate for the salmon population?