Question

A team of Biologists captured and tagged 55 deers 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 of deer?

Answer 1

The proportion: 55/x = 4/40

The total number of deers = 550

Step-by-step explanation:

First number of tagged deers = 55

let the number of deers = x

when the number of deers = 40

Number of tagged deers = 4

Proportion that can be used:

number of tagged deer/total number of deer for each of the sample

`(55)/(x)=(4)/(40)`
`\begin{gathered} 55(40)\text{ = 4x} \\ 2200\text{ = 4x} \\ (2200)/(4)=(4x)/(4) \\ x\text{ = 550} \end{gathered}`

The total number of deers = 550

The proportion: 55/x = 4/40