Exercise 16

Mary and Peter work together in a factory, on the night shift. Mary has a night off every 4 days and Peter every 6 days. When their nights off coincide they go out dancing. The frequency of their dancing outings is every:

  1. 4 days

  2. 6 days

  3. 8 days

  4. 12 days

  5. 24 days

Try to solve it before checking the answer.
  1. 12 days

Indeed, the frequency is the least common multiple (LCM) of 4 and 6, which is 12.