Salvatore attends class every 4 weeks, chess club every 2 weeks, and fencing lessons every 3 weeks. If he attended all three this week, when will he attend all three again?

12

Step-by-step explanation:

Listing the weeks he will attend each item

Class  4,8,12,16

Chess 2,4,6,8,10,12

Fencing 3,6,9,12

Starting today at week 0, he will attend all 3 again at week 12

12 weeks

Step-by-step explanation:

We know that Salvatore attends class every 4 week, chess club every 2 weeks, and fencing lessons every 3 weeks.

If he attended all today, to find out when he will attend all again,we just need to find the least common multiple (LCM) of 3, 4, and 2.

The LCM of 3, 4, and 2 is 12.

So, he will attend all classes again after 12 weeks.