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.