@Background Pony #9810
Gemini-1.5-Pro

@furrypony
Was this summary generated by an AI?

The image presents a system of equations with three unknowns, represented both algebraically and pictorially.

Panel 1: The equations are:

The bottom line asks: z + y + x = ?

A cartoon bat-pony expresses confusion.

Panel 2: The bat-pony sweats, highly disturbed by the mathematical challenge. Its thought bubble is blank.

Panel 3: The same system is presented using fruit icons:

The bottom line asks: 1 Purple fruit + 1 Green fruit + 1 Mango = ?

Panel 4: The bat-pony reacts with surprise and dawning comprehension as a light bulb appears above its head, symbolizing a sudden idea or solution.

EEEThree mangoes make a fine bat-pony snack 🦇😋, and they total 90 fruity points of deliciousness, giving each one 30. EEETwo mangoes shared with a single, mysterious green fruit 🍏❓ sum to 140 points of sweet satisfaction. This means the green fruit, though strange, holds a powerful 80 points of flavor. EEETrading one green fruit for two even stranger purple fruits 💜💜 leaves a mere 5 points of aftertaste. Clearly, each purple fruit offers a 37.5 points of flavor. A full meal of one mango, one green fruit, and one purple fruit sums to 147.5 points of bat-pony culinary delight. 🦇✨

я подрочить сюда захожу а не ребусы решать 😁

The hard part is realizing that it says “the bat costs $1.00 more than the ball” and not just “the bat costs $1.00”.

Longer explanation:

Such as me, apparently. As I see it only as “110-100”, which of course would instead equal “10”.

@Background Pony #AC4B
Yeah, but you’d be surprised how many people really do get that one wrong. Of course, it’s easier to miss when it’s not among a bunch of other math problems which means you are already in a state of mind looking for the details.

@Pseudowolf
Easy, 5 cents.

Wow the second one really is easier to calculate. Gotta use this method in my math

yaya! now I know everything about mafs. ty. <:3c

@Background Pony #2D69
Magic numbers

@Background Pony #AC4B
@Background Pony #7D54
(OP of that 🍔🍟🥤 image here.)
There are complex solutions to it, but I don’t know if there are closed forms for them.

🍔=6 is simple.
If you know some basic complex number, 🍟=±i (or ±j as some might prefer) isn’t too hard either.

The thing is
🥤^(±i)
which really means
exp(±i * Log(🥤))
or equivalently
exp(∓Arg(🥤)) * exp(±i * log(|🥤|))
exp(∓Arg(🥤)) * (cos(log(|🥤|)) ± i*sin(log(|🥤|)))
assuming we only take the principal value.

This is as far as I can do myself. I don’t know how to solve it, though I would guess that there are solutions, just from the looks.

I did link a source on that image, do check the discussion out if you’re interested.

Also thanks @Background Pony #9810.

(This feels a bit off-topic now. Sorry about that. :d)

@Background Pony #7D54
Yeah, you just stumbled upon imaginary numbers. There’s an imaginary unit called i, which has the property of i² = -1.

And I have no idea what to do with the last equation. Wolfram Alpha gives numerical solutions, so I assume it’s solvable.

Here’s another fun one:

A bat and ball together cost $1.10. The bat costs $1.00 more than the ball. How much does the ball cost?

@Background Pony #AC4B
From a basic knowledge of math (it was never my strong suit) I don’t think it can work. The problem is the second equation.
Burger = x
Fries = y
X + X + X = 18, so X=6

But X + (Y * Y) = 5

In order of operations, you do parenthesis (and multiplication) before addition. And since we know X=6, for the equation to equal 5, (YY) has to equal -1. But a negative times a negative equals a positive and a positive times a positive equals a positive. So there is no way for YY to equal a negative number.

Now, I realize there is probably some sort of high-flying advanced math that would answer this puzzle, but that’s beyond me.

@Background Pony #2D69
The answer is -3. wait no I’m an idiot.

The more I think about this the more it seems impossible. You are only doing one quarter turn, how do you get rid of the i and still end up with a non-zero result?

@AmansMarium
Another hard problem, not as in-your-face:

I was late to the party.

You are all wrong.
Answer to the equation is…fruit basket!
.. Which you can shortened to… Smoothy.

@Background Pony #9810
Ye. You immediately know what x is, which immediately tells you what Y is and then z.

Just makes it more cute

@mirolord
TBH this one is so simple that you don’t even have to treat it as an equation system. You can just do it top to bottom.

Took me a while to figure them out on my own. My math skills are getting kind of rusty as it’s been a looooong time since I last used them.

Use matrix instead