Today, both the soccer team and the basketball team had games. The soccer team plays every 3 days and the basketball team plays every 5 days. When will both teams have games on the same day again?

To find out when both teams will have games on the same day again, we need to find the least common multiple (LCM) of 3 and 5.

The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, ...

The multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, ...

From the lists above, we can see that the least common multiple (LCM) of 3 and 5 is 15.

Therefore, both teams will have games on the same day again in 15 days.