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The wallaby is essentially a small kangaroo that is native to Australia. To monitor the wallaby population, scientists catch $70$ wallabies and tag them. A month later, they capture $240$ wallabies and notice that $28$ of them are tagged. To the nearest whole number, what is the best estimate for the wallaby population?

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Estimate population size using proportions

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Q. The wallaby is essentially a small kangaroo that is native to Australia. To monitor the wallaby population, scientists catch

70

wallabies and tag them. A month later, they capture

240

wallabies and notice that

28

of them are tagged. To the nearest whole number, what is the best estimate for the wallaby population?

Identify proportion of tagged wallabies: Step $1$ : Identify the proportion of tagged wallabies in the second capture to estimate the total population.
Solve for $x$ : Step $2$ : Solve for $x$ using cross-multiplication.
Divide to isolate $x$ : Step $3$ : Divide both sides by $28$ to isolate $x$ .

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