Patsy has cheerleading practice on every fourth school day. She wants to be in the school play, but they have practice on every sixth school day. If both started on September 5th, what would be the first date that she has to choose between cheerleading and play practice?
I have no idea what to do or where to start? I have no help but you guys. Please help?
17 is the answer.
Pls be more specific next time
She will have to choose only one on the 25th.
Cheer leading days are:5, 9, 13, 17, 21, and 25th
Play practice days are:5, 10,15,20, an 25th
Both activities take place on the 25th, therefore, the 25th of November is your answer
Also add that on cheerleading days the number increases by 4 and on play days the number increases by 6 every time
the answer is the 16th
To find the first date when Patsy has to choose between cheerleading and play practice, we need to determine the common multiples of 4 (cheerleading practice) and 6 (play practice) until we find a date after September 5th.
First, let's write down the multiples of 4 starting from 4:
4, 8, 12, 16, 20, 24, ...
Next, let's write down the multiples of 6 starting from 6:
6, 12, 18, 24, ...
From these sets of multiples, we can see that 12 and 24 are common multiples of both 4 and 6.
However, we need to find a date after September 5th. Since the sets start from 4 and 6, respectively, we need to add multiples of 4 and 6 to September 5th until we reach 12 or 24.
Let's calculate the dates:
- September 5th + 4 days = September 9th
- September 9th + 4 days = September 13th
- September 13th + 4 days = September 17th
- September 17th + 4 days = September 21st
- September 21st + 4 days = September 25th
- September 25th + 4 days = September 29th
- September 5th + 6 days = September 11th
- September 11th + 6 days = September 17th
From the calculations, we see that the first date after September 5th when Patsy has to choose between cheerleading and play practice is September 17th.
So, September 17th would be the first date that Patsy has to decide between cheerleading and play practice.