Professor Layton and the Curious Village/Puzzles 76-100

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Puzzle 076

Name: A Tile Square

Trigger: Talk to Pauly

Location: Park Road

Chapter: 5

Picarats: 20

Description: You have at your disposal a large number of tiles like the one shown below. If you were to take these tiles and try to make a square, what is the fewest number of tiles you'd need?

• Hint 1: Since the tiles have a different length and width, you'll need to find a number that can be divided by both dimensions. Of course, the puzzle doesn't end there. You'll need to do a little creative thinking in order to find the fewest number of tiles that allow you to form a square.
• Hint 2: Don't forget the puzzle also gives you the thickness of the tiles.
• Hint 3: As the sides of the tiles are 10 and 12 inches long, the smallest common multiple of the two works out to 60. Therefore, you'll need to arrange a 5x6 tile square. That's a total of 30 tiles. Simple, right? Too simple, in fact. There's a way to make a square using even fewer tiles.

Answer: 20

Puzzle 077

Name:Which Job?

Trigger: Talk to Adrea

Location: Park Road

Chapter: 5

Picarats: 20

Description: Two corporations have put out Help Wanted ads. Aside from the information below, the two companies' offers are exactly the same. From a purely financial standpoint, which one should you work for? Company A will pay you $100,000 a year a give you a $20,000 raise yearly. Company B will pay you $50,000 every six months and give you a $5,000 raise every six months.

• Hint 1: If you take the time to add things, this puzzle can be solved in a minute. Go on, try and add up how much money you'd receive from both companies each year for a few years.
• Hint 2: For Company A, you can just look at your yearly salary to get your total income for the year. Company B will give you a raise halfway through the year, so you'll need to calculate two six-month periods to get your yearly pay. Which one offers more money?
• Hint 3: Let's add up how much you'd make in your first year at either company. Company A gives you $100,000 for your first year of work. Company B gives you $50,000 for your first half year and then gives you a raise. This means that for the next six-month period, you will make $55,000. Add those together and you have your yearly pay for year one: $105,000.

Answer: B

Puzzle 078

Name: Water Pitchers

Trigger: Talk to Crouton

Location: Restaurant

Chapter: 5

Picarats: 60

Description: You have one 16-quart pitcher full of water, one empty nin-quart pitcher, and one empty seven-quart pitcher. Using nothing but these three pitchers, can you divide the water evenly so that the 16-and nine-quart pitchers are each holding exactly eight quarts of water?

• Hint 1: That's right, it's time for another good, old-fashioned pitcher puzzle. This time around, the shortest solution requires 15 moves. As always, don't try shifting the liquid back and forth aimlessly. One tip that can make this process easier is to focus on the discrepancy between how much each pitcher can hold. Other than that, just do what you've been doing all along on these puzzles, and you'll come out on top.
• Hint 2: After you move a larger pitcher filled with water to a smaller pitcher, some water will remain in the larger pitcher. Pay attention to this leftover amount. Think about how you can use this leftover water in your pours to reach an answer.
• Hint 3: 16. 10. 9. 6. Once you've made it this far, you're only four more moves away from the solution.

Answer: It takes 15 moves to complete this puzzle. Starting out, you have (16, 0, 0) First, pour the 16 pitcher into the 9 (7, 9, 0). Then the 9 pitcher goes into the 7 (7, 2, 7). Next, pour the 7 into the 16 pitcher (14, 2, 0). Now pour the 9 into the 7 again (14, 0, 2). The 16 goes into the 9 pitcher (5, 9, 2). Again, pour the 9 pitcher into the 7 (5, 4, 7). Now pour the 7 pitcher back into the 16 (12, 4, 0). The 9 goes into the 7 (12, 0, 4), followed by the 16 pitcher into the 9 (3, 9, 4). Next, the 9 pitcher is poured into the 7 (3, 6, 7). Now pour the 7 back into the 16 (10, 6, 0), followed by the 9 into the 7 (10, 0, 6). Almost there! Pour the 16 into the 9 (1, 9, 6). Now the 9 goes into the 7 (1, 8, 7). Finally, the 7 goes back into the 16 (8, 8, 0).

Puzzle 079

Name: Apples and Oranges

Trigger: Talk to Crouton

Location: Restaurant

Chapter: 5

Picarats: 40

Description: Some careless deliveryman loaded two shipments of fruit into the wrong warehouses. As you can see in the picture below, the oranges are currently in the apple warehouse and vice versa. Can you correct the mistake and put all the fruit in its proper place?

• Hint 1: There are two small areas between the warehouses where you can stash an additional two boxes. Use these to your advantage when shifting boxes back and forth.
• Hint 2: Find a pattern for sending boxes over and repeat it until solved. As long as you're gradually shifting the boxes to the proper warehouses, you will finish the puzzle eventually. Don't be afraid of moving a few boxes back to the wrong warehouse on occasion. Sometimes you need to go backward to go forward.
• Hint 3: Above all, you must find a method for moving things around. This is by no means a difficult problem, but if you just send over boxes to the opposing warehouse, you'll block the entrance and get stuck. Think about how you can avoid obstructing the warehouses' entrances.

Answer:

Puzzle 080

Name: Too Many Queens 1

Trigger: Talk to Flick

Location: Restaurant

Chapter: 5

Picarats: 20

Description: In chess, the queen can move the full length of the board diagonally, vertically, and horizontally. See if you can place four queens on this 4x4 chessboard. There's a catch though! You must arrange the pieces so that no queen blocks another's line of movement. Good luck!

• Hint 1: It's not like you have to solve the puzzle in a limited number of moves, so go ahead and check out all the possibilities. Here's a tip: try arranging the pieces in a way that allows for a line of symmetry between them.
• Hint 2: The four corner spaces on the board should be left unoccupied. The four pieces will form a perfectly symmetrical shape.
• Hint 3: You don't need to place any pieces in the four center squares of the board either. Now that you've eliminated those spaces and the corner spaces, you should have a pretty good idea about where your pieces should go.

Answer: There are several solutions to this problem. Here's one: Place a queen in the 1st column, 3rd row. Another queen goes in the 2nd column, 1st row. A third queen goes in the 3rd column, 4th row. The last queen goes in the 4th column, 2nd row.

Puzzle 081

Name: Too Many Queens 2

Trigger: Talk to Flick

Location: Restaurant

Chapter: 5

Picarats: 40

Description: In chess, the queen can move the full length of the board diagonally, vertically, and horizontally. See if you can place five queens on this 5x5 chessboard. There's a catch though! You must arrange the pieces so that no queen blocks another's line of movement.

• Hint 1: Here's a hint to get you started: place one queen in the dead center of the board.
• Hint 2: Once you place one piece in the board's center, you'll only have four pieces left to place. The remaining our pieces will surround the center in a symmetrical shape.
• Hint 3: Don't put any pieces in the four corner spaces of the board. You can also ignore the eight spaces directly surrounding the center space.

Answer: There are several ways to solve this problem. Here's one: Place a queen in the 1st column, 1st row. Another queen goes in the 2nd column, 3rd row. The 3rd column queen goes in the 5th row. The 4th column queen is placed in the 2nd row. The final queen goes in the 5th column and 4th row.

Puzzle 082

Name: Too Many Queens 3

Trigger: Talk to Flick

Location: Restaurant

Chapter: 5

Picarats: 60

Description: In chess, the queen can move the full length of the board diagonally, vertically, and horizontally. Let's try something a little different this time. See if you can arrange three queens on this 5x5 chessboard so that no more pieces can be placed on the board. Make sure you place the pieces so that no queen blocks another's line of movement.

• Hint 1: This one's a bit of a puzzler, but if you check everything throughly, you'll find the answer sooner or later. Don't put anything in the center square. Remember that you have to arrange the pieces so that no queen blocks another's line of movement. Even if you think you've got the answer, if one of your queens turns red, it means that you haven't got the placement just right yet.
• Hint 2: One of your three queens needs to go in a corner space.
• Hint 3: Two of your queens need to be placed within the eight squares that directly surround the center space.

Answer: There are several ways to solve this problem. Here's one: One queen goes in the 2nd column, 3rd row. The second queen goes in the 3rd column, 1st row. The final queen goes in the 5th column, 5th row.

Puzzle 083

Name: Too Many Queens 4

Trigger: Talk to Flick

Location: Restaurant

Chapter: 5

Picarats: 80

Description: In chess, the queen can move the full length of the board diagonally, vertically, and horizontally. You have three queens positioned on an 8x8 chessboard. Place the remaining five queens on the board so that no piece blocks another's line of movement. This is a tough one!

• Hint 1: You're sure you can't think this one out by yourself? Oh, all right. Here's a hint: leave the four corner spaces empty.
• Hint 2: Place one queen in the space third from the top in the far-left column. Place another queen in the far-right column, three spaces from the bottom.
• Hint 3: One queen goes in the space one to the right of the upper-left corner. Place another queen in the bottom row four spaces from the right.

Answer: One queen goes in the 1st column, 3rd row. Another queen goes in the 2nd column, 1st row. The next queen goes in the 3rd column, 7th row. The 5th column has a queen in the 8th row. The last queen goes in the 8th column, 6th row.

Puzzle 084

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Puzzle 085

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Puzzle 086

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Puzzle 087

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Puzzle 088

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Puzzle 089

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Puzzle 090

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Puzzle 091

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Puzzle 092

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Puzzle 093

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Puzzle 094

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Puzzle 095

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Puzzle 096

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Puzzle 097

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Puzzle 098

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Puzzle 099

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Puzzle 100

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