Jack practices his trumpet every 3 days. He goes for a run every 4 days. If he did both today, in how many more days will he practice his trumpet and go for a run on the same day? Show your work and explain.

Jack will practice his trumpet and go for a run on the same day in 12 days. This is because the least common multiple of 3 and 4 is 12. Therefore, Jack will need to wait 12 days before he can practice his trumpet and go for a run on the same day.