Problem:Given a circle with diameter 3, there are number of smaller circles inside of it. The sum of the diameters of the smaller circles is equal to 25. Prove that for each line p of the circle's plane, there is a line q parallel to p such that q passes trough at least 9 of the smaller circles.

Ok so i know that the line q passes throught 8 other lines because their diameter should be smaller than 3, but how do i get to the part where i passes through 9 circles?
Thank you in advance.