Sometimes the question of "which revolves around which" is difficult to answer, because the two objects actually "orbit" around an imaginary point called the barycenter:
If two bodies are similar in mass, as in this animation, then this barycenter around which they revolve will be outside both bodies, so one can't say that one goes around the other. (But in the Sun-Earth orbital system, the barycenter is deep inside the Sun, although it's not exactly at the Sun's center -- so for all practical purposes, "the Earth goes around the Sun.")
But I doubt that "Mrs. Zhirkova" was thinking about such subtleties!