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2010 AMC 10A Question 15

AMC10 · 2010 AMC 10A

Question 15

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, Brian, Chris, LeRoy, and Mike live together in this swamp, and they make the following statements.

Brian: “Mike and I are different species.”

Chris: “LeRoy is a frog.”

LeRoy: “Chris is a frog.”

Mike: “Of the four of us, at least two are toads.”

How many of these four amphibians are frogs?
  1. $0$
  2. $1$
  3. $2$
  4. $3$
  5. $4$