A train starts full of passengers. At the first station, it drops one third of passengers and takes 280 more. At the second station, it drops one half of the new total and takes 12 more. On arriving…
Question and options
A train starts full of passengers. At the first station, it drops one third of 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. The number of passengers in the beginning was
- 156
- 288
- 564
- 608
Answer and explanation
Correct answer: B - 288
Work backwards: (2x/3 + 280)/2 + 12 = 248, so 2x/3 + 280 = 472 and x = 288.
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