At a bakery, there are three types of cakes: chocolate, vanilla, and red velvet. The weights of the cakes are as follows:
- A chocolate cake weighs 2.5 kilograms.
- A vanilla cake weighs 1.75 kilograms.
- A red velvet cake weighs 3.25 kilograms.
One day, a customer buys 3 chocolate cakes and 2 vanilla cakes. What is the total weight of the cakes purchased by the customer?