Answer:
The answer is 2 days.
Step-by-step explanation:
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 .