Then, I must agree with other posts here that the allergic kids need to be sequestered somewhere. It's obviously too dangerous for them to be in public.
I think the allergy is different for different people. Personally, I have to ingest some portion of a peanut to get a reaction, although rubbing a salted peanut on my skin will raise a rash. The severity of the reaction depends on how much I ingest. Consequently, I am very careful and I have not had a severe reaction in over 20 years.