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 she has to choose between cheerleading and play practice. Show your work and explain Please Help!
17 days
This is an unrealistic question. Cheer leading and play practice are much more often than that.
What is the LCM of 4 and 6?
12
To get the answer, you'd lave to find the LCM of 4 and 6. Whatever that turns out to be, add it and 5 (because of September 5th)
That will be your answer.
im really bad at finding the lcm but is it 12 + 5 = 17
To determine the next day 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:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, ...
Multiples of 6: 6, 12, 18, 24, 30, 36, ...
From the list, we can see that 12 is the smallest number that appears in both lists. Therefore, the LCM of 4 and 6 is 12.
Starting from September 5th, we can count 12 days to find the next day when Patsy has to choose:
September 5th ➜ September 6th ➜ September 7th ➜ September 8th ➜ September 9th ➜ September 10th ➜ September 11th ➜ September 12th ➜ September 13th ➜ September 14th ➜ September 15th ➜ September 16th
So, the next day when Patsy has to choose between cheerleading and play practice is September 16th.
To check our answer, we can also verify that both 4 and 6 divide evenly into 16:
16 ÷ 4 = 4
16 ÷ 6 = 2 remainder 4
Since both divisions result in whole numbers, September 16th is indeed the next day when Patsy has to choose between cheerleading and play practice.
No.
The way to find the LCM is to find the multiples of each of the numbers.
4, 8, 12, 16, 20, 24
6, 12, 18, 24, 39
What is the smallest number that is in both lists?