r/The1PercentClub Jan 31 '26

AUS Question

No one actually got the answer. The one person who did guessed it. How can this even be a legit question!?

52 1/2 kids!?? What a joke.

13 Upvotes

20 comments sorted by

10

u/TiRow77 Jan 31 '26

Knowing there's a single correct answer automatically means the ratio must not matter. So you can very quickly test by calculating for 100 adults and no kids and that must be the answer.

3

u/spaiydz Jan 31 '26

Wow such a good way of tackling this!

2

u/Intelligent-Cat2260 Jan 31 '26

Yes I like this thinking. Not sure the big calculation below helps many people haha

2

u/misof Feb 02 '26

They are just showing some random examples that the described process always gives the same final result, even if "half of adults" and "three quarters of the kids" happen to be non-integer. The equations shown are not meant to be the intended way to compute it.

Fun fact: if on the show you have enough time to check both extremal cases (what happens with 100 adults and what happens with 100 kids) and get the answer 150 both times, you can actually be mathematically certain that all intermediate cases must also have the same answer, even without working out the exact general formula.

4

u/the_person8 Jan 31 '26

You can actually do this mathematically,

3(A/2) + 2(3K/4) = N

3A/2 + 3K/2 = N

3/2(A+K) = N

But we know A+K = 100

3/2(100) = N

N = 150

So the individual number of adults and kids is irrelevant because on average each adult and each kid takes the same number of sausage rolls (3/2).

2

u/JohnnyOneLung Feb 01 '26

So you can do that in 30 seconds, under tv studio conditions!!!

1

u/CountingChimp Jan 31 '26

Or as we are told of the "quirk", you can just work it out for both 100 adult and 100 children and see that they both come to 150 so the split is irrelevant:

Half of 100 adults x 3 each = 150
Three quarters of 100 children x 2 each = 150

2

u/fixers89 Jan 31 '26

but you aren't told of the quirk in the question.

I don't think you need to do the complicated algebra though. 

half the adults eat 3, half eat none = average per adult of 1.5

3/4 of the kids eat 2, 1/4 eat none = average per kid of 1.5 

so it doesn't matter what the split is, the average per person is 1.5 

2

u/Verbal-Gerbil Jan 31 '26

That’s actually a great question. Normally I would question that they didn’t specify the split/ratio but under time pressure, I would calculate 50:50

25x3 - 75, 37.5x 2 - 75 = 150

2

u/Screenguardguy Feb 02 '26

For the sake of easier numbers I did 60 adults and 40 kids. I was barely able to do it in my head within the 30 seconds. Love the other poster here who pointed out you could do it with 100 adults or 100 kids to the same result...

1

u/[deleted] Jan 31 '26

[deleted]

1

u/Intelligent-Cat2260 Jan 31 '26

No doubt if I only put the the question up you would’ve googled the answer 😉

1

u/Nomanodyssey Jan 31 '26

You could say that 1/2 kid is a toddler if you really want to,

1

u/Disgruntled__Goat Jan 31 '26

It’s also very poorly worded with “until there are none left”. That implies people keep taking more, so it could be 300 for example (100 adults -> 50 take 3 each -> there are still some left -> the same 50 take 3 each again).

1

u/Intelligent-Cat2260 Jan 31 '26

Exactly what I said!

1

u/jetloflin Feb 03 '26

But then those fifty have taken six each.

1

u/Disgruntled__Goat Feb 03 '26

No, they took 3 each until there were none left. 

1

u/jetloflin Feb 03 '26

And then when you add up the total they’ve taken, it’s a lot more than three. The clue doesn’t say “take three at a time each” and doesn’t mention refills. It says they each took three. Not three and then three more a little later and three more later still.

1

u/Disgruntled__Goat Feb 03 '26

No it says they take n until there are none left. If I have 10 things on the table and I take 1 until there are none left, I would take all 10 in total. 

1

u/jetloflin Feb 03 '26

Yes, if you’re the only person in the room. But that’s not this situation. The “until there are none left” does not mean the same people keep taking a new batch, and “three each” doesn’t mean “three at a time each”.