I have to agree with previous posters: you can't really "make" a teen do anything. I'm going to disagree, however, with the notion that punishing them to death by taking away everything they like is the answer. (If you don't agree with me, put yourself in your own teenage shoes and think about it. Would punishment persuade you to incorporate helping out into your own ethics, or would it just piss your teen self off and start a S.-long battle?)
When we ask our children to do things beyond the scope of their self-interest, it's good to have a talk about why it's important to you. I'm not sure the "tit for tat" exchange is the best method, but tweaking it to point out that "gee, you know, we have a lot of housework to do and I will be more available to help you if we can have some cooperative assistance from you (and siblings, if any)." Then, it's important to have a conversation about which jobs your child would like to take on. Teenage girls? Maybe laundry would be idea, so they could make sure their favorite clothes are washed when they want them. Does your kid like to cook? How about letting them suggest a menu of a few meals to plan.
I think it's important to let them chime in on this. One book that can give you some tools for approaching these kinds of conversations (or any challenging situation where you and your child are in disagreement) is "How To Talk So Kids Will Listen...and How to Listen So Kids Will Talk" by Faber and Mazlish. Teens want to be respected and heard, and they are may need continuous help staying on track with chores. If you want to know what might motivate your teen (if you are wanting to use a reward), ask them to think about it. Are they saving up for something special--could you match it with a dollar for every day that chores get done without trouble? Do they want some help in the way of transportation to a special S. attraction that's out of town. The most important thing of all is to teach our children that their contributions have a positive affect on the family. There needs to be some give and take, but hopefully the lesson is being a participant in the betterment of the family community.
To that end, I'd also suggest making checking in with your teen regarding some family plans a priority too. (Once again, the book has wonderful advice for that). You don't have to follow every suggestion--just listening helps--, but if you are expecting more adult behavior from your teen, it needs to be shown some reciprocity.