Puzzle 123 is Weighted Marbles, a 45-picarat Arrange puzzle in Professor Layton and the Miracle Mask. Place the loose marbles so that every straight line of four totals 34 grams.
This page covers numbered Puzzle 123 in the Nintendo 3DS game. Open the hints in order, then reveal the answer when you are ready.
What Puzzle 123 is
| Name | Weighted Marbles |
|---|---|
| Type | Arrange |
| Picarats | 45 |
| Location | Casino |
| Chapter or mode | Chapter 7 |
These colorful marbles are all the same size, but each one has a different weight. The number on each marble tells you its weight in grams. Your challenge is to arrange the marbles in the grid so that each line of four weighs 34 grams total. Some of the marbles are already in place. Can you work out where the rest of them need to go?
Puzzle names
The North American title is Weighted Marbles. In Japanese it's ガラス玉の重さ.
Wrong Puzzle 123?
Daily Puzzle 123 is Kitchen 06, from the A Dish Too Far set. It is separate from Weighted Marbles. Puzzle numbers in other Layton games also refer to different puzzles.
Where you find it
Talk to the policeman in the Casino during the evening investigation in Chapter 7.
Before you open a hint
Start with a line that has only one empty space. Each shared space belongs to two lines, so check both before placing its marble.
Hints, one at a time
These are the game's own hints, word for word from the North American version and in the same order. Open only the next one you need. In the game, Hints 1 to 3 cost one hint coin each and the Super Hint costs two.
Hint 1
The simplest place to start is the line on the top left.
Hint 2
Take a look at the line with 11 and 8 and the line with 6 and 3.
These two lines share a space. Try working out which marble goes here.
Hint 3
The line with 11 and 8 needs another 15 grams. The line with 6 and 3 needs 25 grams. You can fill these lines with the marbles weighing 5, 10, and 15 grams.
The marble that goes in the shared space weighs 10 grams.
Now try working through the other lines in a similar way.
Super Hint
After following Hint 3, you should have a line containing 14 and 5. This shares a space with the line containing 7 and 16.
The line with 14 and 5 needs another 15 grams, while the line with 7 and 16 is 11 grams shy of 34. Fill these lines with the 2-, 9-, and 13-gram marbles.
After that, you just have to plug in any remaining marbles and you're done!
Answer and full solution
The answer and the worked explanation are hidden below. Open them when you are ready.
Show the answer
Fill the empty spaces with 12, 9, 13, 5, 2, 4, 15 and 10 as shown below.
- The two spaces immediately below the top 7: 12 on the left, 9 on the right.
- The middle row, starting at the fixed 14: 14, 13, 5, 2.
- The empty space to the left of the fixed 8: 4.
- The bottom row: 6, 15, 3, 10.
Check the six lines of four: 7 + 12 + 1 + 14; 7 + 9 + 16 + 2; 14 + 13 + 5 + 2; 11 + 5 + 8 + 10; 11 + 13 + 4 + 6; and 6 + 15 + 3 + 10. Every sum is 34.
Picarats, hints and hint coins
The puzzle can award 45, 40 or 35 picarats. Wrong answers may reduce the picarat value.
Hints 1 to 3 cost one hint coin each and the Super Hint costs two, five in total. The hints on this page are free to open.
Completing the puzzle
Solving Weighted Marbles adds its picarats to your total.
Versions
The hints above use the North American English text. This page is for Professor Layton and the Miracle Mask on Nintendo 3DS.
The puzzle in context
Place the loose marbles so that every straight line of four totals 34 grams. Talk to the policeman in the Casino during the evening investigation in Chapter 7.
FAQ
Where is the answer to Puzzle 123?
It's in the Answer and full solution section above, hidden until you open it. If you only want a push, open the hints one at a time first.
What is Puzzle 123 called?
Weighted Marbles in the North American version. In Japanese it's ガラス玉の重さ.
Where is Puzzle 123?
Talk to the policeman in the Casino during the evening investigation in Chapter 7.
When do I solve Puzzle 123?
See the location section above for when and where to find it.
What happens if I need another attempt?
The puzzle can award 45, 40 or 35 picarats. Wrong answers may reduce the picarat value. Use the hints above before revealing the solution.
How many picarats is it worth?
45 picarats at the start. The puzzle can award 45, 40 or 35 picarats. Wrong answers may reduce the picarat value.
Is Daily Puzzle 123 the same puzzle?
No. Daily Puzzle 123 is Kitchen 06, from the A Dish Too Far set.
More Miracle Mask puzzles
See the Miracle Mask puzzle index for more puzzles.