How does the earth, revolves around the sun and how does the moon revolve around the earth?

Question

The earth and moon rotate around a common center of mass called the barycenter as they revolve around the sun. However, since the mass of the earth is about 80 times the mass of the moon, the barycenter is much closer to the center of the earth than the center of the moon. In fact, the barycenter is located within the earth, about 1707 km below its surface.

Answer 1

That one is almost true, but it never be totally wise to ignore the other things in solar system when talking about space bodies revolution.
In fact the Jupiter satellite system, Saturn Satellite system and the asteroids system are not quite like the one you mentioned due to the relatively close distance between satellite.
These systems are chaotic, so the objects in these system have neither circular nor elliptical orbit relative to a point in space, they have different barycenter at each time.

See this link for more detail :

http://www.geocities.com/orichalc_of_moon/GPIntro.html

Answer 2

It really depends on where the observer of all this action is located. As we see things, the moon revolves around the earth. If we were on the sun, the earth and moon would both revolve around the sun except that the moon is racing ahead of the earth when the moon is closest to the sun and then slowing up as it swings to the other side of the earth's orbit.

Answer 3

this is not true at all the earth does not orbit the sun