Need some advice on my workout schedule?

I am going back to the gym after being gone way, way too long. I’m looking to shed around 40 lbs. mostly from my mid section and I have been watching what I eat more carefully and on a 5 day work out schedule that consists of a 1 hr intense boxing class that I really enjoy M,W,F and is a really good upper body cardio workout and 60 mins of cardio (20 mins split up of Stairmaster, Elipticle and treadmill) lower body T and Th. My question is I would like to fit some strengh training in there via free weights on Weds instead of the boxing class but I am not sure if working on weights once a week is a good idea.

Go ahead and do it. Obviously you won’t see the same results from lifting once a week as you would from lifting three times a week, but your body will still respond. Also, since it sounds as if you’re getting a pretty good amount of cardio from your boxing workout, you could consider cutting your Tuesday/Thursday cardio workouts to half an hour and add in half an hour of strength training. Just remember that if you do strength training on multiple days, you need to allow the body parts you work at least 48 hours of rest before working them again. Bottom line though, while one day of strength training a week won’t get you on any magazine covers, it’ll still do your body a lot of good.