Question

After January 1 Aleta has band practice every fourth day and swimming lesson every third if both program endJanuary 31 how many days in January will Aleta have both band practice swimming lessons

Multiple choice
1 day
3 days
2days
4days

Answer 1

Jan 1 to Jan 31
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 day....so 2 days

Answer 2

The answer is 2 days.

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 .