In a magical swamp there are two species of talking amphibians: toads, whose statements are always true, and frogs, whose statements are always false. Four amphibians, Olivia, Peter, Quincy, and Rachel live together in this swamp, and they make the following statements.

Olivia: "Peter is a toad."

Peter: "Quincy is a toad."

Quincy: "Rachel is a toad."

Rachel: "Exactly three of us are toads."

How many of these amphibians are frogs?