Total Cost of Cakes After Discounts

A bakery sells two types of cakes: Chocolate and Vanilla. The Chocolate cake is sold for $24 each, and the Vanilla cake is sold for $30 each.

During a special promotion, the bakery offers a discount of 20% on the Chocolate cakes and 15% on the Vanilla cakes. If a customer buys 5 Chocolate cakes and 3 Vanilla cakes during this promotion, what is the total amount spent by the customer after applying the discounts?