Mr. Smith's wife works at an animal hospital. There is a equivalent fraction relationship between the number of dogs and cats in the kennels. If there are 20 cats in the kennels, how many dogs?

Respuesta :

Answer:

There are 10 dogs in the kennels

Step-by-step explanation:

The equivalent fraction relationship between the number of dogs and cats in the kennels is 1/2.

Which means, if [tex]n_d[/tex] the number of dods and [tex]n_c[/tex] is the number of cats, then,

[tex]\frac {n_d}{n_c}=\frac{1}{2}\cdots(i)[/tex]

Given that there are 20 cats, so [tex]n_c=20.[/tex]

Now, from equation (i) we have,

[tex]\frac {n_d}{20}=\frac{1}{2}[/tex]

[tex]\Rightarrow n_d=\frac{1}{2}\times 20[/tex]

[tex]\Rightarrow n_d= 10[/tex].

Hence, there are 10 dogs in the kennels.