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:

$\huge\underline\bold {Answer:}$

Let the full number passengers be x.

Number of passengers at the first station

$= (x - \frac{1}{3x} ) + 96 = \frac{2x}{3} + 96$

Number of passengers at the second station =

$\frac{1}{2} ( \frac{2x}{3} + 96) + 12 \\ = \frac{x}{3} + 48 + 12 = \frac{x}{3} + 60$

Given,

$\frac{x}{3} + 60 = 240 \\ = > \frac{x}{3} = 240 - 60 = 180$

$= > x = 180 \times 3 = 540.$

Therefore, the number of passengers in the beginning was 540.

Answer 2

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