Answer: The number of kittens= 500.
Explanation:
Given, A random sample of cats at the SPCA shows that 25 out of the 40 cats are kittens.
i.e. ratio of kitten to cats =
![(25)/(40)=(5)/(8)](https://img.qammunity.org/2021/formulas/mathematics/high-school/vr4vpqcqpdel37e5hsm8ej5a46x7lxzaf6.png)
We assume that , the ratio will remains same.
Let x be the number of kitten out of 800 , then we have
![(x)/(800)=(5)/(8)\\\\\Rightarrow\ x=(800*5)/(8)=500](https://img.qammunity.org/2021/formulas/mathematics/high-school/iiveb6wneevxbnbh3fmpirtof3rou8k2ef.png)
Hence, the number of kittens out of 800 cats= 500.