Upon traveling the world, I found myself in a peculiar place which was called Gauss. The locals there were a peculiar people, as I soon found out. I stopped to grab a bite to eat and learn about the culture. Whereupon I found a man starved for hunger. With sympathy in my heart, I purchased a meal for him and myself, both of which were priced at 6 dollars. I gave the waiter 12 dollars, and immediately, he gave me back 2.
I asked in surprise, "I thought the meals were 6 dollars each."
He replied, "They were, this is your change."
I ate my meal in relative silence, supposing that I was just fortunate. But after the meal, I decided to get gas, priced at 2 dollars. I filled up my tank, which was 14 gallons, and to my displeasure, I owed 30 dollars.
I payed the money unhappily and looked for a hotel to stay. The man there told me it was 90 dollars a night. I decided to book a room for three days, so I gave the man 270 dollars, but he told me the price owed was 300!
As you can imagine, I'm pretty upset. This world of theirs is confusing to me. Can you help me figure out why I keep paying these ridiculous prices? What world exists where 6 + 6 = 10?
HINT:
Just now, I purchased a snack in a vending machine that was 75 cents. It took my three quarters gladly and gave me the toblerone I desired. To be specific it was 25 + 25 + 25 = 75 cents.
HINT 2:
A friend in the village explained some math to me. He said that while 3*25 = 80, 25 + 25 + 25 = 75. Also that 100/15 = 7 and 20 - 14 = 10.