Answer:
64 cats
Explanation:
The ratio of dogs to cats at a pet show = 3:4.
The number of dogs = 48
Let the number of cats = c
We have:
[tex]\frac{\text{Dogs}}{Cats}\implies\frac{3}{4}=\frac{48}{c}[/tex]We solve for c:
[tex]\begin{gathered} 3c=48\times4 \\ c=\frac{48\times4}{3} \\ c=64 \end{gathered}[/tex]There were 64 cats at the show.