It is required to find an equivalent ratio of dogs to cats.
The given ratio is 50:60.
Rewrite the ratio as a fraction:
[tex]50:60=\frac{50}{60}[/tex]Reduce the fraction by dividing both the numerator and denominator by 10:
[tex]\frac{50}{60}=\frac{5}{6}[/tex]Rewrite the reduced fraction as a ratio:
[tex]\frac{5}{6}=5:6[/tex]The required equivalent ratio is 5:6.