A train starts full of passengers. At the first station, it drops one-third of the passengers and takes 280 more. At the second station, it drops one-half of the new total and takes 12 more. On arriving at the third station, it is found to have 248 passengers. Find the number of passengers in the beginning.
(a) 240 (b) 248 (c) 280 (d) 288

• Let starting passengers be x then
  after first station number is 2x/3 + 280
  after second station number is x/3 + 140 + 12
  this is equal to 248 , so
  x/3 = 248 - 152 = 96
  so x = 288
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