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How Many People? is a puzzle in Professor Layton and the Unwound Future.

Puzzle

US Version

"I was riding on a double-decker bus, and the tour guide on the upper level told me that, including myself, there were 25 tourists in the lower level and 40% as many tourists in the upper level."

How many people total were in the bus?

UK Version

"I was on a double-decker bus, and the conductor told me that, including myself, there were 25 passengers on the bottom deck. He also told me that the number of passengers on the top deck was 40% of the number on the bottom deck."

How many people were on the bus in total?

Hints




Click a Tab to reveal the Hint.

US Version

Even if you think you got the answer from a quick calculation, you might have completely overlooked something.

UK Version

Even if you think you've got the answer after a quick calculation, you might have completely overlooked something.

US Version

Don't forget that it was the tour guide who gave you all this information.

UK Version

Don't forget that it was the conductor who gave you all the information.

US Version

The upper level has 40% as many tourists as the bottom level. In other words, two-fifths of 25 tourists, or 10 tourists. So that's 35 total tourists.

Is that everyone, though?

UK Version

The top deck has 40% as many passengers as the bottom deck. In other words, two fifths of 25 passengers, or 10 passengers.

That makes 35 passengers in total.

Is that everyone, though?

US Version

Hint Two reminded you that, besides the tourists, there's also a tour guide riding the bus. Moreover, a bus can't run without a bus driver!

UK Version

Hint 2 reminded you that apart from the passengers, there's also a conductor on the bus.

Doesn't a bus need a driver as well?


Solution

Incorrect

Too bad!

US Version

40% is two-fifths. But even if you get that, there's a catch.

UK Version

40% is two fifths. But even if you get that, there's still a catch.

Correct

Good job!

US Version

Thirty-seven people were riding the bus. There were 25 tourists in the lower level, and 40% of that is 10 tourists in the upper level. This amounts to 35 tourists. If you then add the tour guide and bus driver, you get a total of 37 people.

UK Version

There were 37 people on the bus: 25 passengers on the bottom deck and 40% of that, or 10 passengers, on the top deck. This amounts to 35 passengers.

If you add the conductor and bus driver, you get 37 people in total.

UF045S

A big thanks to http://professorlayton3walkthrough.blogspot.com

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