Answer: There are 19 cats and 38 dogs.
Explanation:
Given, A veterinarian clinic, there are twice as many dogs as there cats.
Let x = Number of cats
then, number of dogs = 2x
Since , total number of dogs and cats = 57
So, x+ 2x= 57
![\Rightarrow\ 3x= 57](https://img.qammunity.org/2021/formulas/mathematics/high-school/y5ky3dk8em5l9h9fsn9vzzhebyn1nrxsaq.png)
Divide both sides by 3 , we get
![x=(57)/(3)=19](https://img.qammunity.org/2021/formulas/mathematics/high-school/ql4sjewx2yl3bqhxk0ljiackkjnkiq09zg.png)
![\Rightarrow\ x= 19](https://img.qammunity.org/2021/formulas/mathematics/high-school/7i9t9o7yur15comk327mfhspm24474wqmb.png)
Number of cats =19
then, number of dogs = 2(19) = 38
hence, there are 19 cats and 38 dogs.