Zoo keepers plan an enrichment day for the animals every 7 days and bathe the elephants every 2 days. You want to go to the zoo when both events are happening. what other in may date will this happend
Ignoring the poor grammar in the question,
we want the LCM of 7 with 2 which would be 14, not 9
e.g. days of enrichment: 7, 14, 21, 28, ...
days for bath: 2, 4, 6, 8, 10, 12, 14, 16
so the first number showing up on both lists is 14
28
Yes, 28 days would be the next date when both events happen again.
To find a date when both events occur, we need to find the least common multiple (LCM) of 7 and 2.
The LCM is the smallest multiple that both numbers have in common.
In this case, we can start listing the multiples of 7 until we find one that is also a multiple of 2:
7, 14, 21, 28 (not divisible by 2), 35, 42 (divisible by 2), 49
Therefore, the LCM of 7 and 2 is 42.
In other words, every 42 days, both events will happen on the same day.
To determine the next date after May, we need to count the number of days from the beginning of May until the next occurrence.
Since May has 31 days, we subtract 31 from 42:
42 - 31 = 11
Therefore, the next date when both the enrichment day and the elephant bath occur will be 11 days after May.