I spent many years working next to a client who was an Exercise Physiologist who was telephone coaching the Personal Trainers. The idea of warming up and then doing cardio BEFORE weights is the best. Your heart rate and getting your blood pumping helps build the muscles when you do the weight training. Then you cool down. The muscle building is what causes you to burn more calories. A person weighing 200 lbs with more muscle mass will burn more calories then one who weighs the same but never exercises and eats less.