admission fee vs admission price

admission fee and admission price both are nouns.

Word	Noun	Adjective	Verb	Adverb
admission fee	Yes	No	No	No
admission price	Yes	No	No	No

As nouns, admission fee and admission price are synonyms defined as:

Other synonyms of admission fee include admission, admission charge, entrance fee, entrance money, price of admission.

admission fee (noun)	admission price (noun)
the fee charged for admission	the fee charged for admission