Please imagine you have two naughty and noisy children who scream a lot. You are loosing your patience because of this and you are going to find a solution to the problem at hand. You buy a PlayStation device for them. After awhile your one of your neighbors asks you about the reason your children do not make those sounds as before! You say:
a) They have gotten occupied since they’ve bought PlayStation.
b) They have gotten busy since they’ve bought PlayStation.
Which one of the above mentioned self-made sentences sounds natural? If no one, then please let me know what how a native speaker would say it.
For me, the both verbs work properly and mean the same here.