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AlgebraQ&A LibraryA movie theater in a small town usually open its doors 3 days in a row and then closes the next day for maintenance. Another movie theater 3 miles away open 4 days in a row and then closes the next day for the same reason. Suppose both movie theaters are closed today and today is Wednesday, when is the next time they will both be closed again on the same day?Question

Asked Jan 24, 2020

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A movie theater in a small town usually open its doors 3 days in a row and then closes the next day for maintenance. Another movie theater 3 miles away open 4 days in a row and then closes the next day for the same reason. Suppose both movie theaters are closed today and today is Wednesday, when is the next time they will both be closed again on the same day?

Step 1

Given:

A movie theater in a small town usually open its doors 3 days in a row and then closes the next day for maintenance.

Another movie theater 3 mile away open 4 day in a row and then closes the next day for the same reason.

Suppose both movie theaters are closed today and today is Wednesday.

Step 2

According to the question:

Today is Wednesday So, the first movie theater will close on Saturday (3days in a row) then Tuesday then Friday and so on...

So,

Step 3

Similarly, second movie theater will be close on Sunday (4 days i...

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