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

Respuesta :

Every 12 weeks (3 months) Carlos will attend all three again.

The number of weeks it will take for Carlo to attend all three again is;

12 weeks

We are given;

Frequency of attending art class = 4 weeks

Frequency of attending chess club = 2 weeks

Frequency of attending fencing = 3 weeks  

We want to find the time in which Carlo will attend all 3 classes again. This simply means we have to find the LCM which is the least common multiple of 6, 3 and 5 minutes.

Factors of 4 = 1, 2, 4

Factors of 2 = 1, 2

Factors of 3 = 1, 3

Thus;

LCM = 2 × 2 × 3

LCM = 12

Thus, in conclusion Carlo will attend all 3 classes again after 12 weeks.

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