Jenny does the dishes every third day, Mark every fourth day, and Misty every sixth day.If they all shared dish duty today, when will they all share dish duty again?
Jenny : 3 6 9 12 15 ....
Mark: 4 8 12 16 ....
Misty: 6 12 18 ....
so what do you think?
in 6 days
To determine when Jenny, Mark, and Misty will all share dish duty again, we need to find the least common multiple (LCM) of the numbers 3, 4, and 6.
First, let's list out the number of days it takes for each person to do the dishes:
- Jenny: every 3 days
- Mark: every 4 days
- Misty: every 6 days
To find the LCM, we can start by finding the multiples of each number until we find a common multiple. Let's create a table:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, ...
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, ...
Multiples of 6: 6, 12, 18, 24, 30, ...
Looking at the table, we find that the first common multiple is 12. Therefore, Jenny, Mark, and Misty will all share dish duty again after 12 days.
Answer: They will all share dish duty again in 12 days.