What's more important - cardio or weight training?

I think if you are that out of shape and feel you have that much weight to lose then both are equally important for you right now. So keep up the good work!

You can also throw in some body weight strength moves say between your treadmill and elliptical throw in a set of push-up, sit-ups and squats or lunges. while your heart rate is already up is a great time to get those muscles in the game.

Both are necessary for overall fitness.

I do a bit of both.
Monday till Saturday about 60 minutes cardio ( so 6 times a week)
And Next to that on Mo, Wed, and Friday 30 minutes light lifting.

The getting fit is more important at this moment for me. But i know i want to tone up later on. So when i move towards my goal weight i want to make the lifting a priority and cardio for fun and get/stay fit.

I am a believer that you cant really gain muscle or build muscle when you want to lose weight. But to get in the habit and with a certain goal in my mind i started the light lifting next to my cardio. To get used to it and for the fun of it.
I have planned my weight loss journey and set my goals. And this is how i try/will succeed.

I think its very personal what your want or want to do and accomplish.
The weight loss is 99% about calorie intake vs calories burned.
The exercising is for getting fit and toned.

In my humble opinion.

I'll say resistance training, not necessarily involving weights, is more important. For the best of both worlds, do calisthenics aka bodyweight exercise. If you can do burpees without being more out of breath than if you went for a run, then you are doing it wrong LOL. Done correctly, resistance training can elevate your heart rate just like cardio, but you're also maintaining muscle while losing weight. If you're doing weights, don't take breaks - just do circuit training so that your heart rate stays up, you aren't taking breaks, but you still get rest between sets for different body parts.

Cardio is great for your overall health, and I've been known to go for a 5-10 mile run/walk when I have extra time, but strength training is much better for maintaining a nice body composition. You could accomplish the same thing as cardio, as far as weight loss and not heart health, by just eating less.

If you do start doing cardio, take it slowly and build up gradually. Shin splints really suck, and you won't feel them until a day or two later.

If you needed to pick one over the other due to a time crunch or harried week, pick weights. Building and maintaining healthy muscle tissue is not just helpful when it comes to burning more calories at rest. Muscle mass also keeps bones strong, and over time wards off bone problems like osteoporosis. This is important, since being a woman puts you at a bigger risk. Muscles also help keep your circulatory system functioning better. When they contract and relax, they assist in blood flow back to the heart.
Yes, you totally should be doing both in an ideal situation. Just saying that if you can't fit it all in sometimes, weight lifting is probably the best choice.

cardio or weights? quite simply it depends how overweight you are. When I was around the 300 lb mark my trainer would, in an hour session, split it 40mins cardio 20 mins weights but as I lost weight the cardio reduced but intensified and the weight lifting sessions became longer. Also the cardio and weights would be mixed for example 5 mins of cardio then lift weights, repeat. Using this method and a healthy diet helped me to shed about 40 lbs in around 4-5 months.

Both. Although I focus mostly on weights, I still toss some cardio in there a couple of times a week.

You can certainly do them in the same workout. But, if you're going to do that, I suggest doing the cardio after lifting. It really depends on your goals. Your desired goals will dictate what kind of physical training you would do best to follow. For general health, doing a circuit of resistance exercises at a moderate to light exertion level, followed by a light to moderate steady cardio session, like you suggested, would be fine - especially as an introductory fitness routine. If you are interested in a more aggressive or focused lifting approach, however, then typically a three day per week routine is best - especially for a novice or beginner. In that case, a day of rest in between lifting sessions is essential - a couple days or more if you are older

Without any more information than your first post, I would probably suggest reversing your cardio to lifting sequence. That is, lift three days and do cardio for two. A full body routine of compound lifts on MWF, and a cardio session Tu and Th. Then give yourself a full two days of rest on the weekends. That's a pretty common routine, and with good nutrition and proper execution, can produce amazing results

Both are good but it's mostly finding something you enjoy and sticking to it. Mind I hate sit ups and crunches but I'll do them for my mma class as I enjoy the rest.