Restoring my new iPhone from backup, no room?

Okay i had an iPhone 5 and the speakers got messed up so i got a new iPhone 5 and I'm trying to restore it from my backup. I have a macbook pro, and i clicked file, device, restore from backup, but it says there's not enough space on my phone, how is that even possible? Its a brand new phone!

Maybe you got an iphone with lower storage?
Iphone 5 comes with 64, 32, 16 gbs maybe the new one is 16gb and the old one was 64.

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