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Sammy's Work Week (Sammy's Working Week in the UK version) is a puzzle in Professor Layton and the Diabolical Box.

Puzzle

US Version

"So let's say today is my day off. If yesterday wasn't also a day off, then I'm off again tomorrow. If, on the other hand, I was off yesterday, then tomorrow I'll have to work.

"Say I worked today. Bummer. If I didn't work two days before today, I'll have to head to work tomorrow. But if I did work two days ago, I'm off tomorrow. Yeow!"

Assuming a 365-day year, and ignoring weekends and holidays, use what Sammy said to figure how many days he works in a year.

UK Version

"So let's say today is my day off. If yesterday wasn't also a day off, then I'm off again tomorrow. If, on the other hand, I was off yesterday, then tomorrow I'll have to work. Now, let's say I worked today. What a drag. If I didn't work two days before today, I'll have to head to work tomorrow. But if I did work two days ago, I'm off tomorrow. Yeow!"

Assuming a standard 365-year and ignoring weekdays and holidays, use what Sammy told you to work out the number of days he works in a year.

Hints




Click a Tab to reveal the Hint.

US Version

Sammy's work-and-rest schedule repeats itself every five days.

UK Version

Sammy's work and rest schedule repeats itself every five days.

US Version

Sammy's schedule is a cycle that consists of three days on the job, followed by two days of downtime.

UK Version

Sammy's schedule is a cycle that consists of three days on the job followed by two days off.

US Version

Sammy works 3/5ths of the days in the year. With that fact under your belt, you should be able to find the answer using a simple calculation.

UK Version

Sammy works 3/5 of the days in the year. With that fact under your belt, you should be able to find the answer using a simple calculation.


Solution

Incorrect

Too bad!

US Version

See if you can't organize Sammy's rambling description into something a little easier to understand.

UK Version

See if you can't organise Sammy's rambling description into something a little easier to understand.

Correct

Score!

US Version

Sammy's lengthy and convoluted explanation may have been hard to understand, but his work schedule is simple. He works three days in a row, rests for two, and then repeats the pattern. Put a different way, Sammy works three out of every five days. Three-fifths of a 365-day year gives you 219 workdays per year.

That's a pretty sweet deal he's got going on.

UK Version

Sammy's lengthy and convoluted explanation may have been hard to understand, but his work schedule is simple. He works three days in a row, rests for two, and then repeats the pattern. Put a different way, Sammy works three out of every five days. 3/5th of a 365-day year gives you 219 work days per year.

That's a pretty sweet deal he's got going on.

DB067S

A big thanks to http://professorlayton2walkthrough.blogspot.com

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