Alice, Bernice and Cassie shared a packet of beads in the ratio of 6 : 3 : 8. Alice then transferred of her beads to Bernice. (a) Find the ratio of the number of Alice's beads to Bernice's beads to Cassie's beads in the end? Give your answer in the simplest form. (b) Bernice has 126 beads in the end. Find the total number of beads that was shared among the three girls.