MHB Probability distribution: Estimate the size of the fox population

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To estimate the fox population in the park, the method used involves the proportion of tagged to total sightings. With 200 tagged foxes and 14 tagged in 100 sightings, the calculation yields an estimated population of approximately 1,429 foxes. This estimation is supported by the reasoning that 200 represents about 14% of the total population. The calculations and reasoning align, confirming the accuracy of the estimate. The discussion concludes with a consensus on the estimation method used.
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In a park , 200 foxes are tagged. In 100 sighting, 14 were tagged. Estimate the size of the fox population ?

This is how approached .

200 tagged : Population 14 tagged : 100
(200x100/14)= Estimated Population = 1,429

I wonder if this is right !
 
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I get the same number. I would use the reasoning that approximately 14% of the total population was tagged, and 200 is 14% of about 1429 (rounded to the nearest integer). :)
 
Thx
 

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