British Currency

[- Joy -]

Forgive me for being a totally uncultured American, but the currency system
in England has always confused me, and I'm hoping one of you kind souls can
help me out.

I understand that there's 100 pence in a pound, but where do shillings come
in?  I looked it up and the UK Embassy site said that there were 20
shillings in a pound, and 12 pence in a shilling.  But wouldn't that make
240 pence in a pound, not 100?

I know my math isn't that bad!  Somebody help?  Thanks!

~Joy~