Answer: The number of kittens= 500.
Step-by-step 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 =[tex]\dfrac{25}{40}=\dfrac{5}{8}[/tex]
We assume that , the ratio will remains same.
Let x be the number of kitten out of 800 , then we have
[tex]\dfrac{x}{800}=\dfrac{5}{8}\\\\\Rightarrow\ x=\dfrac{800\times5}{8}=500[/tex]
Hence, the number of kittens out of 800 cats= 500.