Boxes of Matches
Boxes of Matches is a puzzle in Professor Layton and the Unwound Future .
Puzzle
If the two people below wanted to buy some match boxes for 50p each and they had only £5.25 each, at the most how many match boxes could they buy altogether.
Hints
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 boxes with your eyes closed
Correct
Correct!
There are 2 boxes at most, were you silly anough to to close your *yes*well that was no help