Atrain broke down and the passengers had to leave the train and take buses to continue their journey.
when the first bus came, ¼ of the passengers tried to board, but 4 of them were not able to get on.
when the second bus came, ½ of the remaining passengers tried to board, but 6 of them were not able to get on.
when the third bus came, ¾ of the remaining passengers boarded.
there were still 8 passengers left stranded. how many passengers were on the train?