What comes first: The cardio or the weights?

What do you do first -- cardio or weights? Me, I've always done the following: stretching, a 10-minute warm-up on a cardio machine, 25 minutes of weights, followed by 35 minutes (or more) doing cardio. I do it this way because a personal trainer told me that I would burn more fat if I revved my heart rate with weights and then did cardio. Plus, I enjoy doing cardio more than weights, so the cardio session is what motivates me to keep going.

The reason I bring it up is Fitsugar posted on this exact question. There are good arguments for doing both cardio and weights first, but I'll stick to my routine. How about you?