noel started going to yoga class on november 3, and went every third day after that. Lana also started classes on november 3, and went every fourth day after that. In how many days will they be in class together again?
3, 6, 9, 12, 15, 18
3, 7, 11, 15
The least common multiple is 12. 3 + 12 = 15.
not to be personal or anything ms sue why do u help on jiskha were u a professor at one point do u know the other professors
I taught middle and high school for 32 years, but I've been retired for almost 20 years. I don't know the other tutors on this board personally, but we do stay in contact by e-mail and on this board.
I volunteer on Jiskha because I enjoy research and helping students.
To find out when Noel and Lana will be in class together again, we need to determine the least common multiple (LCM) of 3 and 4.
First, let's write down the days when Noel and Lana are in class:
- Noel goes on day 1 (November 3), and then every third day after that.
- Lana goes on day 1 (November 3), and then every fourth day after that.
Now, let's list the days when Noel and Lana are in class separately:
Noel: 1, 4, 7, 10, 13, 16, ...
Lana: 1, 5, 9, 13, 17, ...
Notice that on day 13, both Noel and Lana will be in class together.
To calculate the LCM of 3 and 4, we can use the following formula:
LCM(3, 4) = (3 * 4) / GCD(3, 4),
where GCD is the greatest common divisor.
In this case, the GCD of 3 and 4 is 1, so:
LCM(3, 4) = (3 * 4) / 1 = 12.
Hence, Noel and Lana will be in class together again after 12 days.