tom has guitar lessons every fifth day and piano lessons every third day. if she had a guitar lesson and a piano lesson on october 12 when will be the next date on which she has both guitar and piano lessons

Respuesta :

Answer:

In thirty days. The least common multiple of the two is 30 (5x6), and this would be the next day that you would have both.

Step-by-step explanation:

make a list

5th day so  

5,10,15,20,25,30,35,40

6th day is  

6,12,18,24,30

the corresponding day is 30 so the answer is 30