A train starts full of passengers. at the first station, the train drops one-third of the passengers and takes in 96 more. at the next station, one half of the passengers on board get down while 12 new passengers get on board. the number of passengers now was 240. the number of passengers in the beginning was:
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Let the no of passengers in the beginning be x.
On the next station,
no of passengers = x/3 + 96
On the next station,
no of passengers = (x/3 + 96)/2 + 2
BTP,
(x/3 + 96)/2 + 2 = 240
x/3 + 96 = 238*2
x/3 = 476 - 96
x = 380*3
= 1140
There are 1140 passengers in the beginning.
On the next station,
no of passengers = x/3 + 96
On the next station,
no of passengers = (x/3 + 96)/2 + 2
BTP,
(x/3 + 96)/2 + 2 = 240
x/3 + 96 = 238*2
x/3 = 476 - 96
x = 380*3
= 1140
There are 1140 passengers in the beginning.
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