price of admission vs entrance money

price of admission and entrance money both are nouns.

Word	Noun	Adjective	Verb	Adverb
price of admission	Yes	No	No	No
entrance money	Yes	No	No	No

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

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

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