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? Explain.
This is really confusing me, please help!
First, you need to find the least common multiple, which is 12. Then you need to count on 12 school days from September 5th. So say that the 5th is on a Monday, so the next day would be the 6th, then Tuesday would be the 7th, and so forth.So keep counting. So the next time she needs to choose between cheer-leading and play practice would be the 21st. Hope this helped (:
Oh. Thank you for helping me :D
To find the next date when Patsy has to choose between cheer-leading and play practice, we need to find the least common multiple (LCM) of 4 and 6.
To do that, we start by listing the multiples of each number:
Multiples of 4: 4, 8, 12, 16, 20, ...
Multiples of 6: 6, 12, 18, 24, 30, ...
We can see that the first common multiple is 12. Hence, Patsy will have to choose between cheer-leading and play practice again on the 12th day.
Now, let's count the number of days from September 5th to the 12th day:
1st day: September 5th
2nd day: September 6th
3rd day: September 7th
4th day: September 8th (cheer-leading practice)
5th day: September 9th
6th day: September 10th
7th day: September 11th (play practice)
8th day: September 12th
Therefore, the next date Patsy has to choose between cheer-leading and play practice is on September 12th.