Question

An animal shelter has 9/10 of its crates filled with animals. 1/2 if the filled crates are holding dogs. What fraction of the total number of crates are holding dogs?

Answer 1

4/10 or 2/5 because 1/2 is 5/10 and 9/10-5/10=4/10

Answer 2

`(9)/(20)`

Explanation:

Let total number of crates be x

Since we are given that An animal shelter has
`(9)/(10)` of its crates filled with animals

So, crates filled with animals =
`(9)/(10)x`

Now we are also given that
`(1)/(2)` of the filled crates are holding dogs .

So, fraction of the total number of crates are holding dogs:

`\Rightarrow(1)/(2) * (9)/(10)x`

`\Rightarrow(9)/(20)x`

Hence
`(9)/(20)` of the total number of crates are holding dogs .