Let the total number of passengers in the beginning of the bus ride be y.
Number of passengers after first stop=y-3
Number of passengers after next three stops=y-3-8=y-11
Number of passengers after fifth stop=y-11-4+2=y-13
Number of passengers after sixth stop=2/3(y-13) ------------- (as 1/3 of them get down)
2/3(y-13)=14
y-13=14 (3/2)
y-13=21
y=34
The total number of passengers in the beginning of the bus ride was 34.