We are given the following information
Toby eats tacos every 5 days.
Toby also drinks horchata every 6 days.
If Toby has horchata and tacos today how many days will he have to wait to enjoy his favorite treats on the same day again?
We need to find the least common multiple (LCM) of 5 and 6 days.
Multiples of 5 = 5, 10, 15, 20, 25, 30
Multiples of 6 = 6, 12, 18, 24, 30
As you can see, the least common multiple (LCM) of 5 and 6 is 30
Therefore, Toby has to wait for 30 days to enjoy his favorite treats on the same day again.