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added treasure-hunt
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gkebirungi committed Aug 24, 2020
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59 changes: 59 additions & 0 deletions maths-club-pack/content/facilitator/treasure-hunt.md
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# Treasure Hunt

## Introduction

There are two different approaches to this puzzle. You can assume that:

•Each chest contains the treasure, or that

•Each statement is true and consider the four cases that arise.

The way a student structures their answer will play a big part in how easy they find the answer.



## Solution

<ins>Assumption 1<ins>

The treasure is in chest A. That means that statement A must be the telling the truth. That also means that statement B is telling the truth. Since the treasure is in chest A, the treasure cannot be in chest C and therefore statement C is telling the truth.


![](../../images/treasure-hunt-3.png)

There are three chests that are supposedly telling the truth, but there should only be one true statement. So the treasure cannot be in chest A.

<ins>Assumption 2<ins>

The treasure is in chest C. That means that statement C must be lying. The treasure is not in chest A or D, making those statements lies as well. Meaning that statement B is also a lie.


![](../../images/treasure-hunt-4.png)


None of the chests are telling the truth, but there should be one true statement. So the treasure cannot
be in chest C.

<ins>Assumption 3<ins>

The treasure is in chest D. That means that statement B and D are telling the truth. Statement A must be lying since the treasure is not in chest A. Since the treasure is not in chest C, statement C must be telling the truth.


![](../../images/treasure-hunt-5.png)


There are three chests that are supposedly telling the truth, but there should only be one true statement.
So the treasure cannot be in chest D.

<ins>Assumption 4<ins>

The treasure is in chest B. That means that the treasure is not in A or D, making those statements a lie.Now we know the treasure is not in chest A or D, then statement B must also be a lie. Since the treasure is not in chest C, this statement is true.


![](../../images/treasure-hunt-6.png)


Only one statement is telling the truth. **This means that the treasure is in chest B.**



21 changes: 21 additions & 0 deletions maths-club-pack/content/student/treasure-hunt.md
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---
title: Treasure Hunt
type: problem
order: 34
---

# Treasure Hunt

Exactly one of these chests contains treasure,
but **only** one of the four statements is true.

![](../../images/treasure-hunt-1.png)

![](../../images/treasure-hunt-2.png)

Which chest must contain the treasure?





1 change: 1 addition & 0 deletions maths-club-pack/cover_images/treasure-hunt.svg
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59 changes: 59 additions & 0 deletions translations/en/facilitator/treasure-hunt.md
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# Treasure Hunt

## Introduction

There are two different approaches to this puzzle. You can assume that:

•Each chest contains the treasure, or that

•Each statement is true and consider the four cases that arise.

The way a student structures their answer will play a big part in how easy they find the answer.



## Solution

<ins>Assumption 1<ins>

The treasure is in chest A. That means that statement A must be the telling the truth. That also means that statement B is telling the truth. Since the treasure is in chest A, the treasure cannot be in chest C and therefore statement C is telling the truth.


![](https://github.com/supportingami/sami-maths-club/blob/master/maths-club-pack/images/treasure-hunt-3.png?raw=true)

There are three chests that are supposedly telling the truth, but there should only be one true statement. So the treasure cannot be in chest A.

<ins>Assumption 2<ins>

The treasure is in chest C. That means that statement C must be lying. The treasure is not in chest A or D, making those statements lies as well. Meaning that statement B is also a lie.


![](https://github.com/supportingami/sami-maths-club/blob/master/maths-club-pack/images/treasure-hunt-4.png?raw=true)


None of the chests are telling the truth, but there should be one true statement. So the treasure cannot
be in chest C.

<ins>Assumption 3<ins>

The treasure is in chest D. That means that statement B and D are telling the truth. Statement A must be lying since the treasure is not in chest A. Since the treasure is not in chest C, statement C must be telling the truth.


![](https://github.com/supportingami/sami-maths-club/blob/master/maths-club-pack/images/treasure-hunt-5.png?raw=true)


There are three chests that are supposedly telling the truth, but there should only be one true statement.
So the treasure cannot be in chest D.

<ins>Assumption 4<ins>

The treasure is in chest B. That means that the treasure is not in A or D, making those statements a lie.Now we know the treasure is not in chest A or D, then statement B must also be a lie. Since the treasure is not in chest C, this statement is true.


![](https://github.com/supportingami/sami-maths-club/blob/master/maths-club-pack/images/treasure-hunt-6.png?raw=true)


Only one statement is telling the truth. **This means that the treasure is in chest B.**



15 changes: 15 additions & 0 deletions translations/en/student/treasure-hunt.md
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# Treasure Hunt

Exactly one of these chests contains treasure,
but **only** one of the four statements is true.

![](https://github.com/supportingami/sami-maths-club/blob/master/maths-club-pack/images/treasure-hunt-1.png?raw=true)

![](https://github.com/supportingami/sami-maths-club/blob/master/maths-club-pack/images/treasure-hunt-2.png?raw=true)

Which chest must contain the treasure?





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