entrance fee vs admission price

entrance fee and admission price both are nouns.

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

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

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

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