swimming, every 3rd day : 3,6,9,12,15,18,21,24,27,30
band practice, every 4th day : 4,8,12,16,20,24,28
Both band practice and swimming : 12th day, 24th dayso 2 days
The answer is 2 days.
We have been given:
After January 1 Aleta has band practice every 4th day and swimming lesson every 3rd day.
We will find the least common multiple of 3 and 4.
This is 12.
This means every 12th day Aleta will have both band practice swimming lessons.
In January, there are 31 days, so there will be 2 times when she will have both lessons, like on 12th and then on 24th.
Therefore, for 2 days in January, Aleta will have both band practice swimming lessons .
i’m here for points.