# A team of ecologists is tracking mountain lions throughout California. They count 4543 mountain lions in the entire state. The area of California is 423,970 km. What is the population density of mountain lions per 250km2?

Jun 3, 2018

$2.68$ mountain lions per $250$ square metres.

#### Explanation:

This is a simple proportion problem :

In ${\text{423,970 m}}^{2}$, there are $4543$ mountain lions, so in ${\text{250 km}}^{2}$, there are $x$ mountain lions.

"423,970 m"^2/("4543 lions") = "250 km"^2/(x \ "lions")

So

$x = \text{250 km"^2/"423970 km"^2 xx "4543 mountain lions}$

$x = \text{2.68 mountain lions }$ (to 2 decimals)