Some of Helen's plants need water every day, some need water every other day, and others need water every third day. If she waters them all today, how many days will it be before she waters them all again?
7 days
look at the pattern
1,2,3,4,5,6,7 each day
1,3,5,7,9,11 every second day
1,4,7,11,every third day.
So what is the answer to the question?
To find out when Helen will water all the plants again, we need to find the least common multiple (LCM) of 1, 2, and 3.
The LCM of 1, 2, and 3 is 6.
Therefore, Helen will water all the plants again in 6 days.
To determine the number of days it will take before Helen waters all her plants again, we need to find the least common multiple (LCM) of the watering intervals for each plant.
Let's first identify the watering intervals:
- Plants that need watering every day have a watering interval of 1 day.
- Plants that need watering every other day have a watering interval of 2 days.
- Plants that need watering every third day have a watering interval of 3 days.
Now, let's find the LCM:
The LCM is the smallest number divisible by all the given numbers.
In this case, we have three numbers: 1, 2, and 3.
To find the LCM, we can start by finding the multiples of each number until we find a common multiple:
Multiples of 1: 1, 2, 3, 4, 5, 6, ...
Multiples of 2: 2, 4, 6, 8, 10, ...
Multiples of 3: 3, 6, 9, 12, ...
From the list above, we can see that the LCM of 1, 2, and 3 is 6.
Therefore, Helen will water all her plants again after 6 days.
So, the answer is 6 days.