Which Alice?

ALICE IN PUZZLE-LAND
"Ah, that is for you to figure out!" replied the Queen. "That is
your problem. Now, Tweedledum realizes that if he loses the bet,
then he will have the same number of rattles as Tweedledee, but if
he wins the bet, then he will have twice as many rattles as
Tweedledee. The question is, How many rattles does each one
have?"
Now this problem is normally solved using algebra, but Alice
knew no algebra. Fortunately, however, she remembered the
lessons she had learned from the Gryphon, so she was able to get
the answer. What is the answer?
HOW MANY BROTHERS AND SISTERS? "Here's another," said
the Red Queen. "A little girl named Alice had a brother named
Tony—"
"I don't have a brother named Tony," interrupted Alice.
"I wasn't talking about you," the Red Queen replied sharply. "I
was talking about another Alice!"
"Oh!" replied Alice.
"And I wish you wouldn't keep interrupting!" continued the
Queen. "Anyway, Alice and Tony had other brothers and sisters."
"Just a minute," interrupted Alice (not the Alice in the Looking-
Glass, but the Alice at the party), "Tony and I don't have any other
brothers or sisters!"
"The Red Queen wasn't talking about you," I replied, "but about
still another Alice!"
"Oh!" replied Alice.
"Now," continued the Red Queen, "Tony has as many brothers as
sisters. Alice has twice as many brothers as sisters. How many boys
and how many girls are in the family?"
Alice solved this one.
HOW MANY WERE WRONG? "Here is one," said the White
Queen, "and it happens to be a true story. I once had to post four
70