I have this problem:
Carla has 3 times as many cars, c, as she has trucks, t, how many cars does she have?
Is it correct to assume I can translate it to this:
$$c = 3t$$
Also, by that same logic I translated this:
Carlas has 1/4 times as many cars as she has trucks, how many cars does she have?
$$c = (1/4)t$$
This isn't really a question, but your analysis is correct