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The museum performs shows in schools every Monday and

in public libraries every fifth day (on both weekdays and

weekends). If the museum did both a school show and

a library show on Monday, how many days will it be until it does both shows on the same day again?

The first showing for all

shows is at 10:00 AM


- Show Schedule -

Chemistry - Every 10 minutes

Electricity - Every 20 minutes

Recycling - Every 6 minutes

Fossils - Every 45 minutes

.

Respuesta :

The gap of days until both the shows would take place together would be:

- 36 days

Given that,

The schedule of the show = 10, 20, 6, and 45

To find the day after which the show would take place, we will take the LCM of them.

The LCM of 10, 20, 6, and 45 would be 180.

The show happens every fifth day. So,  180 ÷ 5

[tex]= 36 days[/tex]

Thus, 36 days is the correct answer.

Learn more about 'Days' here:

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Q&A Education