Question

Emilio's family volunteers at the local soup kitchen every 30 days. Emilio has swimming lessons every 9 days. He has both activities this Saturday. When will he have both activities again on the same day?

Answer 1

Answer:

Step-by-step explanation:

Emilio will have both activities again 90 days from Saturday.

Emilio's family volunteers at the local soup kitchen every 30 days.

Emilio has swimming lessons every 9 days.

30 = 2 x 3 x 5

9 = 3 x 3

LCM = 2 x 3 x 3 x 5 = 90

So, Emilio will have both activities again 90 days from Saturday.

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Answer 2

After 90 days both the activities will fall on the same day.

GIVEN

Emilio's family volunteers at = every 30 days

Swimming lessons of Emilio = Every 9 days

TO FIND

After how many days both activities will fall again on the same day.

SOLUTION

We can simply solve the above problem as follows;

It is given;

Days after which family volunteers = every 30 days

Days after which Emilio's swimming classes falls = 9 days

Both activites will fall on the day which is equal to the LCM of 30 and 9

Therefore,

LCM of 30 and 9 = 2 × 3 × 3 × 5 = 90 days

Hence, After 90 days both the activities will fall on the same day.

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