SOLUTION: please help me with this word problem: If you take karate every monday and you lift weights every third day and today you are taking karate and lifting weights, how many days un

Question 260914: please help me with this word problem:
If you take karate every monday and you lift weights every third day and today you are taking karate and lifting weights, how many days until you will have karate and lift weights on the same day again?
Found 2 solutions by richwmiller, Earlsdon:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
MtwtfssMtwtfssMtwtfssM
T12312312312312312312T
0123456789012345678901=21 days
3*7=21
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Since there are 7 days in one week, you are really asking:
"What is the least common multiple (LCM) of 3 and 7?"
One approach is to list the multiples of each number and select the smallest (least) common multiple.
3, 6, 9, 12, 15, 18. 21, 24,...
7, 14, 21, 28,...
You can see that 21 is the LCM of 3 and 7, so you will have to wait 21 days until you have karate and lift weights on the same day.
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