AL073 - Counting Sheep

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Counting Sheep
AL073puzzle1.jpg
AL073puzzle2.jpg
Puzzle Number 073
Puzzle Name Counting Sheep
Picarats Given 40 Picarats
Type Write Answer
Location Windy Way
Previous Puzzle AL072 - Bemused Bunnies
Next Puzzle AL074 - Pampering Your Pets

This is the seventy-third puzzle you'll encounter in Professor Layton and the Azran Legacy. To access this puzzle, you must talk to Piet. In order to solve this puzzle, you must figure out how many sheep the farmer has.

Contents

[edit] Hints

Hint One
    "When he counted them at five at a time, he had four left over."

    This means that if you divided the total number of sheep by five, you'd have a remainder of four. Think about which numbers produce a remainder of four when you divide them by five and you'll see they all end with a 4 or a 9. The total number of sheep in the farmer's flock must end with 4 or 9.

Hint Two
    "When he counted them four at a time, he had two left over."

    This means that if you divide the total number of sheep by four, this leaves you with a remainder of two. Think about which numbers produce a remainder of two when divided by four, and you may notice they're all even numbers. This fact, along with what Hint 1 told you, means the number of sheep in the farmer's flock must end with a 4.

Hint Three
    "When he counted them seven at a time, he had two left over."

    This means that if you divided the total number of sheep by seven, you'd have a remainder of two. Bear in mind that the farmer has around 400 sheep. The only numbers that can be divided by seven with a remainder of two, and that end with a 4 (as established in Hints 1 and 2), are 324, 394 and 464.

Super Hint
    Hint 3 gave you three possible answers: 324, 394 or 464.

    Try dividing 464 by four. What happens?

    And now for 324. See what you get when you divide it by three or four.

    You should have the answer now!


[edit] Messages

[edit] When Failed

Too bad.

Make sure you haven't made a mistake with the number of sheep left over in each case.

[edit] When Completed

Shear class!

The farmer has 394 sheep. Six more and he'd have exactly 400!

[edit] Solution

The farmer has 394 sheep.

[edit] Progress

2485 Picarats and 189 Hint Coins.



Last edited by Squiggle on 8 August 2015 at 20:27
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