I have two 12 yr olds, almost 13. A boy and a girl.
We don't give allowances but they get what they need for activities and can earn more.
With that said, they don't spend money the way you've described - their activities with friends are around the neighborhood or an occasional movie or other activity, etc.
And, DD earned $150 this week babysitting.

(She was exhausted, lol.) She bought an Itunes card, gave a few bucks to her brother who babysat with her last night, and spent $15 to get into a friend's recital. I've asked her to bank some of it to keep building her savings account - both kids put most of their bday/holiday money into savings.
Around the house, DS has been mowing the lawn and helping DH paint. He vacumed for me today and fed the dog, picked up the yard, etc, before his ballgame this afternoon. DD spent 45 minutes chopping vegetables for a soup we made and helped around the house. She helped paint last week, too. I really can't complain. (We also spend money on DS's travel baseball and they both take guitar lessons.)
Most of our friends and neighbors are pretty similar to us. I do treat some of my kids' friends sometimes to things, but I've also had other parents refuse to let their kids go to the movies or other activities because they don't have the money and don't feel right about someone else footing the bill, which I can understand. Both my kids have friends whose families are on extremely tight budgets and I've never heard any of those kids whine about not being able to do things - they just accept that that's the way it is. My kids see and understand that nobody's got money trees growing out back, including us, which isn't a bad thing.
It's really important to us that our kids know how to use money wisely as they get older. DH and I were both raised that way and we each earned our own money from the time we were about the age our kids are now. DS is scheming about what he can do for work himself (especially now seeing his sister raking it in

) - he'll umpire next summer and he's thinking about maybe becoming a dog walker, lol. (One of DS's friends whose family is out of work, already has a lawn mowing business going
and is caddying - he just turned 13.)
In your situation I think I'd have to tell your DD she has to budget her money better and to do that, she has a few options. A) spend less, B) earn more or C) alter her activities. I agree with the pp's who said she needs to understand it's not a free for all or it'll be more difficult as she gets older (and you have another one right behind her taking notes, lol). It sounds like it is going to be a challenge if she's already used to this type of lifestyle. But it will serve her well down the road if she can help develop good habits now. Good luck.