The Chess Club meets every third day. The hiking club meets every fourth day. The photography clud meets every sixth day. All three clubs met today. ( Tuesday )

If the clubs never meet on Saturdays or Sundays, what day of the week will it be next time all three clubs meet on the same day?
Explain.

Question

The Chess Club meets every third day. The hiking club meets every fourth day. The photography clud meets every sixth day. All three clubs met today. ( Tuesday )

If the clubs never meet on Saturdays or Sundays, what day of the week will it be next time all three clubs meet on the same day?
Explain.

anonymous · Answer

You need to find the LCM (Least Common Multiple)  of the 3 numbers.  The issue is then the five day week.  Divide the answer by 5 and determine the remainder.  Then count that many weekdays from Tuesday.

anonymous · Answer

Thanks.! (:

anonymous · Answer

If you type your answer, I will confirm or help you further

anonymous · Answer

Okay.

anonymous · Answer

Would the LCM be 12??

anonymous · Answer

yes

anonymous · Answer

Okay. Sooo..., Whta do I do after..? I'm a LITTLE confused..

anonymous · Answer

divide by 5 and find the remainder

anonymous · Answer

2 R2

anonymous · Answer

?

anonymous · Answer

okay, each 5 days brings you back to the starting day.  You just need to count the remainder number of days from the starting day

anonymous · Answer

6? 7? idk im getting confused..

anonymous · Answer

The remainder is 2 so 2 weekdays from Tuesday

anonymous · Answer

or you can count 12 weekdays from Tuesday

anonymous · Answer

So...What day would all three of them meet agin; no Sunday or Saturday.

anonymous · Answer

right, either using the remainder count 2 weekdays from Tuesday or just using the LCM count 12 weekdays from Tuesday - either way you get THURSDAY

anonymous · Answer

Okay. I get it Now. Thank Youu. (: I have a lot of homework :/

anonymous · Answer

good luck, just post if you need more help

anonymous · Answer

Okay. Thank You. I will (: