Question

Eva and jin are new volunteers at the animal shelter . If they both volunteer the first of the month,in how many days will they volunteer on the same day again? Eva volunteers every 3 days and jin volunteers every 5 days

Answer 1

In 15 days

Explanation:

Eva Volunteers Every 3 Days:

So, Eva volunteers on:

3rd, 6th, 9th, 12th, 15th, 18th, 21st...and so on DAYS

Jin Volunteers Every 5 Days:

So, Jin volunteers on:

5th, 10th, 15th, 20th, 25th...and so on DAYS

So, we see NEXT which day they vounteer together. Looking at the list, we see that it is on 15th day. This is also the LCM (Least Common Multiple) of 3 and 5.

So, in 15 days, they volunteer on the same day again.