Round 20

Date released: August 2nd, 2001.
Date rewarded: August 10th, 2001.

The economy of Roo Island is rather strange. They have four coins, each worth a different number of Neopoints. Three red coins plus two Neopoints equal a green coin. Three green coins plus five Neopoints equal a purple coin. Eleven red coins plus a single Neopoint equal a purple coin.

The fourth coin is a silver coin that is worth four purple coins. If I go to the Roo Island bakery and buy a loaf of bread worth 84 Neopoints with my silver coin, and the shopkeeper gives me change in red coins... how many red coins would I get?

Prize
Unknown

Click to show/hide solution

Let r, g, p, s be the values of red, green, purple and silver coins respectively. We know that:

* Three red coins plus two Neopoints equal a green coin:

3r + 2 = g (1)

* Three green coins plus five Neopoints equal a purple coin:

3g + 5 = p (2)

* Eleven red coins plus a single Neopoint equal a purple coin:

11r + 1 = p (3)

* Silver coin is worth four purple coins:

s = 4p (4)

From (2) and (3), we have:

3g + 5 = 11r + 1 <=> 11r = 3g + 4 (5)

From (1) and (5), we have:

11r = 3g + 4 = 3 * (3r + 2) + 4 = 9r + 10 <=> 2r = 10 <=> r = 5

Therefore:

g = 3r + 2 = 17
p = 3g + 5 = 56
s = 4p = 224

The change that I should get (in red coins):

change = (224 - 84) / 5 = 140 / 5 = 28

I should get back 28 red coins.

Round 19

Date released: July 24th, 2001.
Date rewarded: August 2nd, 2001.

Richard Chia is back... and he has a new anagram!!!

Hello and Welcome to the Lenny Conundrum. This weeks conundrum is a 10-letter word or phrase that has been jumbled up, can you work out what it is?

Prize
Unknown
Click to show/hide solution

Another Richard Chia puzzle. This week answer is Space Usuki.

Round 18

Date released: July 18th, 2001.
Date rewarded: July 24th, 2001.

Heermeedjet the Meerca has 5,000 Neopoints in his pocket (after successfully breaking into somebody's Neohome). He has a go on the Wheel of Excitement and then increases the amount of money he has by 20%. He then takes 20% of his money and spends it on Neggs.

Heermeedjet then puts the rest of the money in the National Neopian Bank, and earns 1% interest every day (daily interest is rounded down) for 10 days. After 10 days he gets bored and puts the all the money on a Poogle at 3:1 odds and wins.

How much money does Heermeedjet have left?

Prize
Unknown

Click to show/hide solution

Heermeedjet starts off with 5,000 NP.
He gains 20% through the Wheel of Excitement, so he has:

5,000 * 120% = 6,000

He spends 20% on Neggs, so he has left:

6,000 * 80% = 4,800

He puts the NP into bank, and earn interest everyday. Here is what he earns for 10 days (interests are rounded down):

1. Day 1: 1% of 4,800 = 48. He then has 4,848 NPs.
2. Day 2: 1% of 4,848 = 48. He then has 4,896 NPs.
3. Day 3: 1% of 4,896 = 48. He then has 4,944 NPs.
4. Day 4: 1% of 4,944 = 49. He then has 4,993 NPs.
5. Day 5: 1% of 4,993 = 49. He then has 5,042 NPs.
6. Day 6: 1% of 5,042 = 50. He then has 5,092 NPs.
7. Day 7: 1% of 5,092 = 50. He then has 5,142 NPs.
8. Day 8: 1% of 5,142 = 51. He then has 5,193 NPs.
9. Day 9: 1% of 5,193 = 51. He then has 5,244 NPs.
10. Day 10: 1% of 5,244 = 52. He then has 5,296 NPs.

He puts all NPs into Poogle Race with odd 3:1 and wins (hence he quadruples his NPs). So he has:

5,296 * 4 = 21,184

Heermeedjet has 21,184 NPs left.

Round 17

Date released: July 10th, 2001.
Date rewarded: July 18th, 2001.

Richard Chia is back... and he has a new anagram!!!

Hello and Welcome to the Lenny Conundrum. This weeks conundrum is a 10-letter word or phrase that has been jumbled up, can you work out what it is?

Prize
Unknown

Click to show/hide solution

Another word unscrambling puzzle. The answer is Sporkle Leg.

Round 16

Date released: July 6th, 2001.
Date rewarded: July 10th, 2001.

Senator Barca came rushing over the Sand Dune to talk to Peopatra. 'Help, Im being chased by Grundos. Can I hide here???'. Peopatra nodded and lifted up the carpet concealing the trapdoor in the floor of her tent.

All but two of the Grundos chasing Barca were Green, all but two of the Grundos were Purple, and all but two of the Grundos were Red.

How many Grundos were chasing Barca???

Prize
Unknown

Click to show/hide solution

Let x be the number of Grundo.
Number of Green Grundos: x - 2
Number of Purple Grundos: x -2
Number of Red Grundos: x -2

Therefore, number of all Grundos:

(x - 2) + (x - 2) + (x - 2) = x <=> 3x - 6 = x <=> 2x = 6 <=> x = 3

There are 3 Grundos. (one of each color)

Round 15

Date released: June 27th, 2001.
Date rewarded: July 6th, 2001.

Two kings of Sakhmet from history were King Galat-Ra the Lupe and King Hephaes-Ru the Kacheek. Galat-Ra died 120 years after Hephaes-Ru was born. Their combined ages when they died was 100 years. Hephaes-Ru died in the year 40 B.N. (Before Neopia).

In what year was King Galat-Ra born?

Prize


Geb

Click to show/hide solution

Let x be the year King Galat-Ra was born, y be the year King Hephaes-Ru was born. We know that: "Galat-Ra died 120 years after Hephaes-Ru was born". Therefore, Galat-Ra died in the year y + 120. His age when he died is y + 120 - x. Hephaes-Ru's age when he died is 40 B.N. - y.

We also know that: "Their combined ages when they died was 100 years." Therefore:

y + 120 - x + 40 B.N. - y = 100 <=> x = 40 B.N. + 20 = 20 B.N.

King Galat-Ra was born in 20 B.N.

Round 14

Date released: June 20th, 2001.
Date rewarded: June 27th, 2001.

Once again this week Richard Chia will provide you with a confusing anagram!

Hello and Welcome to the Lenny Conundrum. This weeks conundrum is a 11-letter word that has been jumbled up, can you work out what it is?

Prize


Kauvaras Potion
Click to show/hide solution

Same type of puzzle as last week. The answer is Tigersquash.