[UF015] Boxes of Matches

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Boxes of Matches

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Boxes of Matches
Game	Professor Layton and the Unwound Future
Number	015
Type	Write Answer
Location	Hotel Room
Solved by	Luke
Picarats	30
Mandatory	No
Reward	None

Boxes of Matches is a puzzle in Professor Layton and the Unwound Future.

Puzzle

The two people shown below are talking about how many boxes of matches there are. The person on top (A) is looking down from above, and the person below (B) is looking at them from one side.

At most, how many boxes are there?

Hints

• →
• Hint 1
• Hint 2
• Hint 3
• S. Hint

Click a Tab to reveal the Hint.

Suppose B is looking at A's top-down image from the right. From B's side view, the most boxes would be, from left to right:

2 high x 2 stacks = 4 boxes
3 high x 3 stacks = 9 boxes
1 high x 3 stacks = 3 boxes
2 high x 2 stacks = 4 boxes

That's 20 boxes total. Is that the most?

Suppose B is looking at A's top-down image from the bottom. From B's side view, the most boxes would be, from left to right:

2 high x 3 stacks = 6 boxes
3 high x 1 stacks = 3 boxes
1 high x 2 stacks = 2 boxes
2 high x 4 stacks = 8 boxes

That's 19 boxes total. Is that the most?

Suppose B is looking at A's top-down image from the left. From B's side view, the most boxes would be, from left to right:

2 high x 2 stacks = 4 boxes
3 high x 3 stacks = 9 boxes
1 high x 3 stacks = 3 boxes
2 high x 2 stacks = 4 boxes

That's 20 boxes total. Is that the most?

Suppose B is looking at A's top-down image from the top. If you count them up as in the previous hints and there are more than 20, that's your answer.

Now all you need to do is count!

Solution

Incorrect

Too bad!

Imagine the arrangement of boxes from each angle: front, back, left, and right.

Correct

Correct!

There are 21 boxes at most.