Patsy has cheerleading 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 cheerleading and play practice? Show your work and explain.
I got confused this is not a quick check this is a short answer can someone help me
If you are talking about the practices, find a number of days that can be evenly divided by both 4 and 6, and add that to September 5th.
To find the next date where Patsy has to choose between cheerleading and play practice, we need to find the next common multiple of 4 and 6.
First, let's find the multiples of 4:
4, 8, 12, 16, 20, 24, 28, ...
Now, let's find the multiples of 6:
6, 12, 18, 24, 30, ...
Once we have both lists of multiples, we can identify the common multiples:
12 and 24 are the common multiples of 4 and 6.
Since September 5th is the starting date, we need to count the number of days to reach the next common multiple.
From September 5th to September 17th is 12 days (12 is the first common multiple).
From September 18th to September 29th is another 12 days (24 is the second common multiple).
So, the next date where Patsy has to choose between cheerleading and play practice would be September 29th.