SOLUTION: Camila goes to the grocery store every 15 days. Mateo goes to the grocery store every 12 days. If both Camila and Mateo go to the grocery store today, how many days until they go

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Question 1207392: Camila goes to the grocery store every 15 days. Mateo goes to
the grocery store every 12 days. If both Camila and Mateo go to
the grocery store today, how many days until they go to the
grocery store on the same day again?
A 3
B 24
C 60
D 120
Found 4 solutions by Theo, ikleyn, greenestamps, MathTherapy:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
if today is day 0, then:
camilla goes on day 0, 15, 30, 45, 60.
mateo goes on day 0, 12, 24, 36, 48, 60.
looks like day 60 is the first day they both get to go on the same day again.
that's selection C.



Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
.

As the problem is worded, two answers are possible:


    (C) 60 days

and

    (D) 120 days.


To exclude two answers and allow only one, the problem's question should be posed differently.
It should ask about the    number of days, when M and C will go to the grocery in the same day next time.



Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!


Regarding the response from tutor @ikleyn....

The question asks "how many days until they go to the grocery store on the same day again". That phrasing means the answer is the number of days until the FIRST time they go on the same day.

So the answer is "60". It is not "either 60 or 120".
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!
Camila goes to the grocery store every 15 days. Mateo goes to
the grocery store every 12 days. If both Camila and Mateo go to
the grocery store today, how many days until they go to the
grocery store on the same day again?
A 3
B 24
C 60
D 120

LCM (Least Common Multiple) of 15 and 12, which is 60 (CHOICE C)
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