I couldn't disagree more with that post!
Cardio burns off massively more calories than weight-training, and burning calories is the whole point of exercising to lose fat. Weight-training is just for building muscle. It doesn't take any fat off you, unless you do a hell of a lot of it - and then you end up very over-muscled.
For example, if a 140lb woman goes for an 8-mile run, she burns off about 850 calories. A press-up burns about 1 calorie. Can you imagine how muscular you would be if you did 850 press-ups on a regular basis?
Don't listen to him ladies! If you concentrate on weights you'll either not lose any fat, or end-up looking like a body-builder!