Patsy has cheer leading practice every fourth day. She wants to be in the school play. but they have practice every sixth day. If both start on September 5th. what would be the next date she has to choose between cheer leading and play practice? the answer is what? I NEED HELP PLEASE
What is the least common multiple of 4 and 6?
Add the multiple to September 5.
To find the next date when Patsy has to choose between cheerleading and play practice, we need to find the least common multiple (LCM) of 4 and 6. The LCM is the smallest number that is divisible by both 4 and 6.
One way to find the LCM is by listing the multiples of each number until we find a common multiple. Let's do that for 4 and 6:
Multiples of 4: 4, 8, 12, 16, 20, 24, ...
Multiples of 6: 6, 12, 18, 24, ...
We can see that 12 is the smallest number that appears in both lists, so the LCM of 4 and 6 is 12.
Since Patsy starts on September 5th, we need to count 12 days to find the next date when she has to choose between cheerleading and play practice.
Starting on September 5th, we count: 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16.
The next date would be September 16th.
Therefore, September 16th would be the next date Patsy has to choose between cheerleading and play practice.