Some vehicles on a three-lane highway named lanes A, B, and C changed lanes during a certain time interval. During this time interval when there were no new vehicles entering the highway and no vehicles leaving the highway
- 5 vehicles from A to B;
- 4 vehicles from B to A, 1 to C;
- 3 vehicles from C to B
passed, and in the final state, the number of vehicles in these three lanes were equal to each other.
If the initial number of vehicles in lanes A, B, and C are $a$, $b$, and $c$ respectively, which of the following orderings is correct?
A) $a < b < c$ B) $a < c < b$ C) $b < a < c$ D) $b < c < a$ E) $c < a < b$