Progressions - The problem of the pill's weight

Algebra Level 3

A pharmacy received 15 flasks of a medicine. According with their labels, each flask contained 200 pills, and each pill weighed 20 mg.

Assume that a particular flask came with the same amount of pills but these weighing 30 mg each (and the flask label didn't tell anything about that).

The pharmacy, trying to discover that flask among the others, made some procedures:

  1. Listed the flasks from 1 to 15.
  2. Removed from each flask a quantity of pills corresponding to its number.
  3. Placed all pills removed in a scale, finding a total weight of 2540 mg.

Which flask contains the heaviest pills?


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