A total of \(j\) dollars is given to Abby, Bill, and Carla and divided equally among them. Then Abby gives Bill \(k\)

A total of \(j\) dollars is given to Abby, Bill, and Carla and divided equally among them. Then Abby gives Bill \(k\) dollars, Bill gives Carla \(2k\) dollars, and Carla gives Abby \(3k\) dollars. Afterward, Abby has exactly half of all the dollars given to the three people. In terms of \(k,\) how much money was given originally to Abby, Bill, and Carla?

A. \(4k\)
B. \(6k\)
C. \(8k\)
D. \(12k\)
E. \(16k\)

[spoiler]OA=D[/spoiler]

Source: Manhattan GMAT