cyrebjr (cyrebjr) wrote,

We are the coins in the Potter's purse

Hey. Not much in the way of written puzzles, certainly not enough for a Tuesday Teaser, but I did gander at the galleon-sickle-knut currency system of the Harry Potter world. Seems a galleon resembles a hubcap of solid gold, weighing as much as eight dinner buffet plates, so it probably wouldn't be carried around in a typical coin purse.

Anyway, there are 17 sickles to the galleon and 29 knuts to the sickle. Naturally--well, enough for a recreational mathematician--I wondered if there were amounts of money which, when doubled, transposed the numbers of each coin type. Short answer, yes.

First, a ground rule. Just like you wouldn't say something costs one dollar, two hundred ninety-nine cents, neither should the amounts of wizarding money be named with more than 16 sickles or 28 knuts. Alternatively phrased, an amount of money should always use a galleon when there's an option to use 17 sickles or 493 knuts, and a sickle when there could be 29 knuts.

So now I won't keep you waiting. There are three unit prices (I think), besides free, where the price of one and the price of two use the same numbers of coins in a different order. Find them.
Tags: fiction, math, puzzle

  • Not something that's not about hats

    Not gonna talk about that! Instead, let's go into unnecessary detail to solve a hat puzzle. Back in March, I saw a video featuring two puzzles about…

  • Tuesday Teaser #58: PLA 735

    Hi. I live. Also, I moved recently, but I have no idea what detail to go into. Suffice it to say, it was stressful. Anyway, it's still Tuesday for…

  • Tuesday Teaser #57: How much is EQUESTRIA?

    So... yeah. Hi. I've been a little busy. Not busy with exactly the things I'd prefer, I admit, but some of them are what I want. Like, I'm doing a…

  • Post a new comment


    default userpic

    Your IP address will be recorded 

    When you submit the form an invisible reCAPTCHA check will be performed.
    You must follow the Privacy Policy and Google Terms of use.