Question

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:​

Answer 1

Answer:

ANSWER

Let the full number of passengers be x

Number of passengers at the first station , after drops one-third of the passenger

=(x−

3

1

x)+96=

3

2x

+96

Number of passengers at the second station , after one-half get down and 12 added

=

2

1

(

3

2x

+96)+12=

3

x

+48+12=

3

x

+60

Given

3

x

+60=240⇒

3

x

=240−60=180

⇒

Step-by-step explanation:

x=180×3=540