To determine when the sweet and salty product providers will meet again after meeting on May 31st, we need to find the least common multiple (LCM) of 5 and 4.
1. The sweet product provider visits every 5 days.
2. The salty product provider visits every 4 days.
To find the LCM of 5 and 4, we can list the multiples of each number until we find a common multiple:
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ...
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...
The first common multiple of 5 and 4 is 20. Therefore, the sweet and salty product providers will meet again after 20 days.
