jamie volunteers at the pet shelter every 3 days and at the food pantry every 6 days. this month he volunteers at the pet shelter on the 3rd day of the month and the food pantry the 6th day of the month. Jamie says that the first time he will volunteer at both places will be on the 18th day of the month because the LCM of 3 and 6 is 18. Does Jamies reasoning make sense? use an example or a counterexample to explain your anaylasis

Question

Mathematics

Hood

13 May, 11:18

jamie volunteers at the pet shelter every 3 days and at the food pantry every 6 days. this month he volunteers at the pet shelter on the 3rd day of the month and the food pantry the 6th day of the month. Jamie says that the first time he will volunteer at both places will be on the 18th day of the month because the LCM of 3 and 6 is 18. Does Jamies reasoning make sense? use an example or a counterexample to explain your anaylasis

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Quentin Lewis · Answer 1

Answer: No. Jamies reasoning doesn't make any sense.

Counter example : - Isha decides to go on walk on every 4th day and go for gym on every 2nd day in a month.

Then Isha will do both the things on same day = LCM (4,2)

Now, LCM of 4 and 2 = 4

Therefore, Isha will do both the things on 4th day of the month.

Step-by-step explanation:

Jamies reasoning doesn't make any sense.

Because the LCM of 3 and 6 = 6 not 18[since 6=3*2]

LCM is the least common multiple number of two or more numbers.