You are Here: Home

# Kyx's Puzzle Palace Mk I

Announcements Posted on
Last day to win £100 of Amazon vouchers - don't miss out! Take our quick survey to enter 24-10-2016
1. Each room contains one puzzle. By completing each puzzle, you move onto the next room. Work as a team, guys.

Room 1 - The Missing Pound Room

Kyx, the penguin at the counter, is approached by three other penguins. They order a supersized bowl of noodles. This costs £30.

Kyx: I'll tell you what: if you manage to eat this in under ten minutes, I will give you a £5 discount.

The penguins manage to eat the noodles in 9 minutes 59.999 seconds.

Kyx: Well, you just about did it. Have this £5 note.

Penguins: We can't split that evenly between us three. Give us £3, and you keep the extra £2.

Kyx: No problemo

Here's the problem: Each penguin has now contributed £9 towards the bowl of noodles, which makes £27. Kyx has another £2, which brings the total to £29. What has happened to the other pound from the original £30?
Spoiler:
Show
2. (Original post by Kyx)
Each room contains one puzzle. By completing each puzzle, you move onto the next room. Work as a team, guys.
Room 1 - The Missing Pound Room
Kyx, the penguin at the counter, is approached by three other penguins. They order a supersized bowl of noodles. This costs £30.
Kyx: I'll tell you what: if you manage to eat this in under ten minutes, I will give you a £5 discount.
The penguins manage to eat the noodles in 9 minutes 59.999 seconds.
Kyx: Well, you just about did it. Have this £5 note.
Penguins: We can't split that evenly between us three. Give us £3, and you keep the extra £2.
Kyx: No problemo
Here's the problem: Each penguin has now contributed £9 towards the bowl of noodles, which makes £27. Kyx has another £2, which brings the total to £29. What has happened to the other pound from the original £30?
Spoiler:
Show
Analysis from Cheese: supersized noodles? Under 10 minutes? Boy those are some hungry penguins

£5 discount doesn't mean giving a £5 note
Therefore the penguins only have to pay £25 and they have an extra £3 on top of the 9 x 3 = £27 or something idk
then Kyx being a greedy guts took this £2
hmm
phoning comrades who may be able to offer assistance XOR_ 13 1 20 8 42 Plagioclase
3. (Original post by Kyx)
x
My brain is really not in gear for this
I'll have another look in a moment though
Posted from TSR Mobile
4. (Original post by Matrix123)
My brain is really not in gear for this
I'll have another look in a moment though
Posted from TSR Mobile
we can do this matrix!
together!
5. (Original post by Kyx)
x
OK so the penguins pay £30. Kyx keeps £25 and gives them £5.
25/3 is 8 1/3
Kyx then takes the £5 back and gives the penguins £3 and keeps £2 so each penguin has an extra £1.
Each has a loss of £8 1/3 and profit of £1
7 1/3 * 3 = £22
£22 + 2 = 24

All in all, I still don't know
Posted from TSR Mobile
6. (Original post by CheeseIsVeg)
we can do this matrix!
together!
Gotta have a shower then sure! If it's not already solved before I get back

Posted from TSR Mobile
7. At first, they paid £30, or £10 each. Then, £5 was taken off the bill, so the meal cost £25. However, Kyx kept £2 for himself.

There is no missing pound! The penguins, somehow able to handle coins with their flippers, spent £27 (£9 each): £25 on the meal, and £2 for the service charge.

The initial £30 was broken down into:
£25 paid for the noodles
£3 back to the penguins
£2 for Kyx

Or:
£27 total cost
£3 back to the penguins.
8. (Original post by K-Man_PhysCheM)
At first, they paid £30, or £10 each. Then, £5 was taken off the bill, so the meal cost £25. However, Kyx kept £2 for himself.

There is no missing pound! The penguins, somehow able to handle coins with their flippers, spent £27 (£9 each): £25 on the meal, and £2 for the service charge.

The initial £30 was broken down into:
£25 paid for the noodles
£3 back to the penguins
£2 for Kyx

Or:
£27 total cost
£3 back to the penguins.
this looks very legit
9. (Original post by K-Man_PhysCheM)
At first, they paid £30, or £10 each. Then, £5 was taken off the bill, so the meal cost £25. However, Kyx kept £2 for himself.

There is no missing pound! The penguins, somehow able to handle coins with their flippers, spent £27 (£9 each): £25 on the meal, and £2 for the service charge.

The initial £30 was broken down into:
£25 paid for the noodles
£3 back to the penguins
£2 for Kyx

Or:
£27 total cost
£3 back to the penguins.
To clarify, you cannot add the £2 that Kyx kept onto the £27, because the £2 came from the £27 spent by the penguins, where £25 was for the noodles and £2 was for Kyx.
10. (Original post by K-Man_PhysCheM)
At first, they paid £30, or £10 each. Then, £5 was taken off the bill, so the meal cost £25. However, Kyx kept £2 for himself.

There is no missing pound! The penguins, somehow able to handle coins with their flippers, spent £27 (£9 each): £25 on the meal, and £2 for the service charge.

The initial £30 was broken down into:
£25 paid for the noodles
£3 back to the penguins
£2 for Kyx

Or:
£27 total cost
£3 back to the penguins.
Correct.
11. Room 2 - Probability of the girls

Kyx and Flyx have two baby penguins. If one of them is a female, what is the probability of the other being a female too?
12. (Original post by Kyx)
Room 2 - Probability of the girls

Kyx and Flyx have two baby penguins. If one of them is a female, what is the probability of the other being a female too?
I think I have an answer:
Spoiler:
Show
The first baby is already female. That is a given. Hence I think we can reword this question to be: what is the probability that a baby penguin is female? Assuming meiosis as taught at GCSE Biology level, the probability should be 50%, but I don't know if this is correct.
13. (Original post by Kyx)
Room 2 - Probability of the girls

Kyx and Flyx have two baby penguins. If one of them is a female, what is the probability of the other being a female too?
50%........
14. (Original post by K-Man_PhysCheM)
I think I have an answer:
Spoiler:
Show
The first baby is already female. That is a given. Hence I think we can reword this question to be: what is the probability that a baby penguin is female? Assuming meiosis as taught at GCSE Biology level, the probability should be 50%, but I don't know if this is correct.
(Original post by CheeseIsVeg)
50%........
1/2 is NOT the correct answer
15. (Original post by Kyx)
1/2 is NOT the correct answer
100%
Spoiler:
Show
yes I am just guessing
these sorts of puzzles are not my forte lol
16. (Original post by Kyx)
1/2 is NOT the correct answer
OK, let's see:

2 penguins, A and B. m= male, f=female

One must be female, hence the possibilities are:

A........B
f.........m
f.........f
m........f
f.........f

Aha! Combination f...f is repeated! It seems that if A is female, there are 2/3* (EDIT) chance B will be female, and vice versa...

Not sure what to make of this.
17. (Original post by K-Man_PhysCheM)
OK, let's see:

2 penguins, A and B. m= male, f=female

One must be female, hence the possibilities are:

A........B
f.........m
f.........f
m........f
f.........f

Aha! Combination f...f is repeated! It seems that if A is female, there are 2/3* (EDIT) chance B will be female, and vice versa...

Not sure what to make of this.
(Original post by CheeseIsVeg)
100%
Spoiler:
Show
yes I am just guessing
these sorts of puzzles are not my forte lol
Incorrect
18. (Original post by Kyx)
Incorrect
Ok... So if we remove one combination f....f we get:

A......B
f.......m
f.......f
m......f

So there's a 1/3 chance that there are 2 females if we know that one of the penguins is definitely female.
19. (Original post by Kyx)
Incorrect
1/3

Posted from TSR Mobile
20. Correct

## Register

Thanks for posting! You just need to create an account in order to submit the post
1. this can't be left blank
2. this can't be left blank
3. this can't be left blank

6 characters or longer with both numbers and letters is safer

4. this can't be left empty
1. Oops, you need to agree to our Ts&Cs to register

Updated: August 30, 2016
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Today on TSR

### How does exam reform affect you?

From GCSE to A level, it's all changing

Poll
Useful resources