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?

Respuesta :

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

Answer:

[tex]\frac{9}{20}[/tex]

Step-by-step explanation:

Let total number of crates be x

Since we are given that An animal shelter has [tex]\frac{9}{10}[/tex] of its crates filled with animals

So, crates filled with animals = [tex]\frac{9}{10}x[/tex]

Now we are also given that [tex]\frac{1}{2}[/tex] of the filled crates are holding dogs .

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

[tex]\Rightarrow\frac{1}{2} \times \frac{9}{10}x[/tex]

[tex]\Rightarrow\frac{9}{20}x[/tex]

Hence [tex]\frac{9}{20}[/tex] of the total number of crates are holding dogs .