According to the ratio of dogs to cats, if there are 20 cats, there will be 35 dogs.
<u>Explanation:</u>
Let the number of dogs be d and the number of cats be c
If the ratio of dogs to cats is 49:28, then the ratio of d : c would be
![\frac{d}{c} = \frac{49}{28}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bc%7D%20%20%3D%20%5Cfrac%7B49%7D%7B28%7D)
On reducing the fraction, we get
![\frac{d}{c} = \frac{7}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bc%7D%20%3D%20%5Cfrac%7B7%7D%7B4%7D)
It is shown that the number of cats is reduced to 20.
So, let the number of dogs after sometime be x
Thus,
![\frac{d}{c} = \frac{7}{4} = \frac{x}{20}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bc%7D%20%20%3D%20%5Cfrac%7B7%7D%7B4%7D%20%20%3D%20%5Cfrac%7Bx%7D%7B20%7D)
After cross multiplying we get:
140 = 4x
x = 35
According to the ratio of dogs to cats, if there are 20 cats, there will be 35 dogs.