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?
LCM 4, 6 = 12
so on the 12th school day she will have to choose? But what if you don't know what day the 12th day falls on??
Just need the date, not the day of he week.
5 + 12 = ?
Swjssdc
Cheerleading Practice: school every 4th school day- 12
Play Practice: school every 6th school day-12
I think the first date would be August 24.
I have the same exact question and I need help with it too.
17 is the answer peeps.
To find the first date that Patsy has to choose between cheerleading practice and play practice, we need to determine the day that corresponds to the 12th school day counting from September 5th.
First, we need to calculate the least common multiple (LCM) of 4 and 6, which is 12. This means that after each 12 school days, the schedules of cheerleading practice and play practice will align again.
Next, we need to determine the number of school days that pass from September 5th until we reach a multiple of 12. We can do this by dividing the number of days by 12 and finding the remainder.
September 5th is the starting point, so we need to count the number of days until we reach a multiple of 12. We can use modular arithmetic to do this:
September 5th = Day 1, September 6th = Day 2, September 7th = Day 3, etc.
To find the remainder when dividing the number of days by 12, we can subtract multiples of 12 from the total number of days until we can no longer subtract 12 without having a negative result.
For example, if we were calculating the 25th day, we would first subtract 12 from 25 and get 13. Then we would subtract another 12 from 13 and get 1. Therefore, the remainder when dividing 25 by 12 is 1.
So, to find the first date Patsy has to choose between cheerleading practice and play practice, we need to find the remainder when dividing the number of days from September 5th by 12.
However, since you didn't specify the total number of days we need to calculate until we reach a multiple of 12, I cannot determine the exact date without that information.