There are two different gemstones in the realm. Haxite, which is a deep red gem, and aquadium, a jewel of many beautiful blues and some green, which is worth 3x more than haxite.

This week the miners have been mining special ore carts for the three princes of the realm, and the princes are equal, thus they must all receive exactly the same worth in their ore cart. The Chief-Miner oversaw the operation, rubbing his haxite necklace for good luck. At the end of the last day, the miners got 14 aquadium crystals and 26 haxite chunks.

"How should we distribute them?" the Sub-Chief-Miner asked.

"That's easy!" laughed the Chief-Miner. "Split both gems' numbers in three and fill up the ore carts! And quickly, the princes come at dawn tomorrow!"

"But neither gem amount is divisible by three..." the Sub-Chief-Miner complained, but the Chief-Miner would hear none of it. He also ordered that ALL the gems that were mined MUST be used.

The Sub-Chief-Miner sighed and returned to the men- but then he got an idea. The next dawn the princes came to see each ore cart had the same wealth.

How did they split up equal worth into all three ore carts?

***

Try before you look at my spoiler, it's not that hard

See if you can figure it out yourself first!

14 aquadium, 26 haxite

14a, 26h

14*3=42, 42+26=68. Add the Chief-Miner's haxite necklace and that's 69. That's divisible by 3 so that will work. Split up the 27 haxite (26+1, the 1 from the necklace) among the ore carts, 9-9-9. Then split the aquadium the best you can, 4-4-4. Two aquadium are left over that must be used. Add them both to the first ore cart, which is now 2a, or 6h, ahead, so take 4 haxite from it and give 2 to each of the other ore carts. So that's it like this:

a: 6-4-4

h: 5-11-11

multiplying the a by 3, just to check:

18-12-12

5-11-11

all add to 23 which is 69/3. It works.

Unfortunately the poor Chief-Miner has to let go of his trusty haxite necklace...

## Question

## unreality

Priceless Gems

***

There are two different gemstones in the realm. Haxite, which is a deep red gem, and aquadium, a jewel of many beautiful blues and some green, which is worth 3x more than haxite.

This week the miners have been mining special ore carts for the three princes of the realm, and the princes are equal, thus they must all receive exactly the same worth in their ore cart. The Chief-Miner oversaw the operation, rubbing his haxite necklace for good luck. At the end of the last day, the miners got 14 aquadium crystals and 26 haxite chunks.

"How should we distribute them?" the Sub-Chief-Miner asked.

"That's easy!" laughed the Chief-Miner. "Split both gems' numbers in three and fill up the ore carts! And quickly, the princes come at dawn tomorrow!"

"But neither gem amount is divisible by three..." the Sub-Chief-Miner complained, but the Chief-Miner would hear none of it. He also ordered that ALL the gems that were mined MUST be used.

The Sub-Chief-Miner sighed and returned to the men- but then he got an idea. The next dawn the princes came to see each ore cart had the same wealth.

How did they split up equal worth into all three ore carts?

***

Try before you look at my spoiler, it's not that hard

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