Question

A team of biologists captured and tagged 55 deer in a forest. Two weeks later, the biologists captured a sample of 40 deer from the same forest and found that 8 of them were tagged. Which proportion would you use to find the total number if deer?d/55 = 40/1001/2 = 8/dd/40 = 8/5555/d = 8/40

Answer 1

Let there are d number of deers in the forest when biologist capture 55 deers.

So the ratio of deer that are tagged is,

`r=(55)/(d)`

After two week, the number of deer for the sample are 40 and out of which tagged are 8.

So the ratio for the tagged deer is,

`r=(8)/(40)`

Sine the ratio of tagged deer is same for both cases.

So proportion for the total number of deers is,

`(55)/(d)=(8)/(40)`