Math Reasonings Solved Exercises

Exercise 16

Mary and Peter work together on a factory night shift. Mary has one night off every 4 days and Peter has one night off every 6 days. It they go out dancing when their nights off match, how often do they go out dancing together?

  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.