Discounted Cake Package Calculation

A bakery sells two types of cakes: chocolate and vanilla. The chocolate cake costs $25 each, while the vanilla cake costs $20 each. During a promotional event, the bakery decides to sell a package deal that includes 3 chocolate cakes and 4 vanilla cakes for a combined price that gives a 10% discount off the total original price of the cakes.

What is the price per cake in this promotional package after applying the discount? Round your answer to two decimal places.