Electrostatic induction with planes - please help

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Homework Statement


Two large plane parallel conducting plates are connected by a wire and are a distance D apart in a vacuum. A point charge +q is placed in the space between them and a disstance b (<D) from one of them. What proportion of the charge +q is induced on each of the two plates?


Homework Equations





The Attempt at a Solution


I've been told the way to do this is to replace the point charge with a plane conducting sheet inserted between the plates a distance b from one of them, with a charge +q on it, and find the charges induced on the plates. However I can't work out how to do this. I've tried using Gauss' Law to show that the flux out of this new plate in each perpendicular direction is q/e0 and so the resultant fiels in each perpendicular direction is q/Ae0 but to no avail. Please help!
 

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