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Balance Your Books (Balance your Books in the UK version) is a puzzle in Professor Layton and the Unwound Future.

Puzzle

US Version

You recently bought several rare books at a used-book store. The total you paid, before tax, was 99 pounds.

The image below shows the shelf you purchased your books from. Below each book is a tag listing its price, also before tax. Which books did you buy?

Mark all the books you bought before submitting your answer.

UK Version

You recently bought some rare books at a second-hand bookshop. The total you paid was £99.

The image below shows the shelf from which you selected your books. Below each book is a tag listing its price. Which books did you buy?

Tick all the books you bought and then touch Submit.

Hints




Click a Tab to reveal the Hint.

US Version

The last digit of 99 pounds is nine, so figure out which book prices add up to a number starting with nine.

UK Version

The last digit of 99 is 9, so work out which combinations of books add up to a number ending with 9.

US Version

Once you've figured out some combinations that add up to a number starting with nine, focus on finding a combination that results in a number ending in nine.

UK Version

Once you've found books that add up to give you a number with a 9 as its last digit, calculate whether the first digit would be a 9 as well.

US Version

You bought four books. If your solution is more or fewer than four books, check your math and try again.

UK Version

You bought four books. If your solution contains more or fewer than four books, check your calculations and try again.

US Version

If you choose only those books that are priced as multiples of three, you'll have the right answer.

UK Version

Choose only the books that have a price which is a multiple of three and you'll have the right answer.


Solution

Incorrect

Too bad!

US Version

Double-check your math, and try again.

UK Version

Double-check your calculations and try again.

Correct

Right on the money!

US Version

You bought four books with prices of 27, 33, 15, and 24 pounds. Identifying the numbers that add up so that the second digit is nine is a common approach to solving this type of problem.

By the way, 99 is a multiple of three. Did you notice that if you choose only books whose prices are multiples of three, you also got the right answer?

UK Version

You bought four books, priced at £27, £33, £15 and £24. Identifying the numbers that add up so that the second digit is nine is the most common approach to solving this puzzle.

By the way, 99 is a multiple of three. Did you notice that the price of every book you chose also happens to be a multiple of three?

UF102S

Trivia

In this puzzle, the price labels are missing the pound sign (£) in the UK version.

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

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