According to the ratio of dogs to cats, if there are 20 cats, there will be 35 dogs.
Explanation:
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
[tex]\frac{d}{c} = \frac{49}{28}[/tex]
On reducing the fraction, we get
[tex]\frac{d}{c} = \frac{7}{4}[/tex]
It is shown that the number of cats is reduced to 20.
So, let the number of dogs after sometime be x
Thus,
[tex]\frac{d}{c} = \frac{7}{4} = \frac{x}{20}[/tex]
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.
