Puzzle of the Day #12 - 3 Steem of Reward to the first person to solve it!

in contest •  8 years ago  (edited)

Welcome Steemians to the edition #12 of the "Puzzle of the Day".

Your Daily Contest to Burn Some Neurons! :D


Today's puzzle is about Money.

Can someone tell me how much money I spent if?


puzzle-of-the-day-12.png

To qualify for the reward there is only one requirement and is that you have to vote the post. I am doing this by myself, no "Whales" include here... for now ;)

If there are two correct answers given with a few seconds, maximum 1 minutes difference between one and the other, the second answer will receive a consolation prize of 1 Steem :) And remember that you can also participate in the Puzzle of the Week to face a greater challenge and of course win a better prize if you solve it.

And now ... to move those brains! Come on! :)


Winner 1st Place @cryptokas!


@juanmiguelsalas

Firma Gif.gif

Authors get paid when people like you upvote their post.
If you enjoyed what you read here, create your account today and start earning FREE STEEM!
Sort Order:  

3864

Did you read my comment? :)

yes

This would be the result of my approach which is not correct. :/

Yes correct!

Would you mind explaining why that's the answer?

Changing the incorrect number 49 for 63 then...

63 x 1/9 x W + 82 x 1/12 x (552 - W))

so you can simplify the 63 with the 9 and the 82 with the 12

7 x W + 7 x (552 - W)

Actually at the end you have just to multiply 7x552 and you get the number

Yeah I get it now. Your approach is just unnecessarily complicated.
It's kinda weird, but I made some mistake in thinking that different number pairs would lead to different solutions. Ofcourse they are both divided by 7 eventually, which I missed at 49 and therefore thought the same would be true at 63.

then the riddle is unsolvable

$ 3864

Looks like I'm a little late.

552 means 552 workers?
49 & 84 is for all the workers in total or per worker?
Oh I was dumb ofcourse per worker
Oh wait it is in total, right! Yeah, otherwise it's impossible to know
49/9+84/6 = $19.44

Oh yes, sorry, my mistake,,, I do not know how I have missed that.

49 dollars gived to the no specialists and 84 to the specialists

yes but 49 dollars given to each no specialist or to all specialist in total?

49 dollars gived to the NO specialist and 84 dollars to the specialist. But not everybody took the money.

lol how is this even possible to solve?

With a little bit of math and reading what really happens ;)

  ·  8 years ago (edited)

I totally agree... without knowing how many specialists and non specialists there are this cannot be solved. But it says... "to each of my workers"... so.... I don't get it. :(

EDIT: Ok i think I found a way to solve it... :D

How many of them really accept the prima? It is clear on the text ;)

Yup, I'm with you: How many specialists and non-specialists work for you (proportionally)?

How many of them really accept the prima? It is clear on the text ;)

Sorry I declare the Puzzle close... I made a mistake in one of the numbers... it is not 49 but 63 what the NO specialist got... if you think with this data you can solve it do it and I send you the reward but...The numbers are differnet because they divide the workers in 2 groups. You should work with how many workers accept the reward from both groups.

Well... that would be a little bit to easy I think? :P

  ·  8 years ago (edited)

It should say "one twelfth of the specialists" doesn't it?

it says very clear "one twelve of the specialist"... should I give the answer too? ;)

Edit: Ah you mean my english sucks :D yes I know that :) but you understand perfectly what it means dont you?

  ·  8 years ago (edited)

Yes but my english sucks too sometimes so our combined suckyness can easily multiply itself to confusion.... o.0 :D Well... think I've found the solution. :)

Looks for the comment I wrote up... I made a mistake with one number, realize now :(

  ·  8 years ago (edited)

3248 (Explaination follows... and I'm not sure at all.)

  ·  8 years ago (edited)

So what do we know...

There are 552 workers, specialists and non specialists but we don't know how much of one or the other.
But we DO know that the number of specialists has to be a multiple of 12 and the number of non specialists a multiple of 9. If we have for example 10 non specialists, one ninth of that would be 1.111111. This is not possible because we are dealing with humans here... right?

So we have to find a two numbers, one is a multiple of 9 and the other a multiple of 12 and the sum of both numbers has to be 552.

One such pair would be 396 (non specialists) and 156 (specialist).

One ninth of 396 is 44. So only 44 non specialists would have accepted the $49 bonus.
44 * 49 = 2156

One twelfth of 156 is 13. So only 13 specialists would have accepted the $84 bonus.
13 * 84 = 1092

2156 + 1092 = $3248 total payout.

THE PROBLEM: So far I don't know if 396 and 156 is the only possible pair.
UPDATE: No it's not the only pair but doesn't matter.... answer is 3248.

Try to do it with the new number included please... I am really sorry!

I had thought of this too, but there are multiple pairs, so I thought this wasn't the solution?

yes... seems so

Actually it doesn't matter which pair you use... result is always the same.

Actually it does matter for 49 and 84. It doesn't matter at 63 and 84 though.

This is because 1/9x49 doesn't equal 1/12x84, but 1/9x63 does equal 1/12x84.

2528 + 8/27 ?

Please read the comment, I made a mistake with one of the numbers, realize now. It is not 49 but 63 what the no specialists get as prima.

The question still is.... 63 for each of them or in total?

Hmmm... my approach seems to be correct actually. Yes, there are multiple number pairs that work.... but that's no problem as they all lead to 3864.

But still I don't get why it's important if we take 49 or 63? Doesn't really matter... of course the result will be different but the puzzle would work with any numbers.

yes it's possible with any numbers but it's gets way more complicated... look at my picture. I was able to cancel the NS (non specialist) component.

Yes it matters!

63 x 1/9 x W + 82 x 1/12 x (552 - W))

so you can simplify the 63 with the 9 and the 82 with the 12

7 x W + 7 x (552 - W)

Actually at the end you have just to multiply 7x552 and you get the number

well and that is my answer.

Ok, now I got it. As @cryptokas mentioned.... The puzzle would still work with any numbers for the bonuses but with these two numbers this nice shortcut is possible... Ooouukaaaay... :D

The idea is to have the two numbers multiples of one single number, in this case 7.

AAAAND.... based on the first numbers, 49 and 84, I had the correct answer! Just saying... ;)

@juanmiguelsalas I am a little bit confused. Did someone found the answer or should I try with the new data?

There was a mistake with one of the numbers. I made it clear in a comment and someone found the answer. Sorry.

But you can try, just do not look the comments.

okay, no problem, i will

  ·  8 years ago (edited)

:( I feel a little bit overlooked. My answer was correct right from the beginning. You just changed the puzzle so it got easier to solve.

I don't want the prize... I just hoped to get mentioned in your post.

:P

Tomorrow will be no mistakes adn it is the weekly constest. 6 Steems not only 3 :)

For now just sing with me! Come on! :)

  ·  8 years ago (edited)

It feels a little bit like back in school... when I came up with an answer and the teacher didn't like it because it wasn't his answer... but it's OK! :D Will be there tomorrow! ;)

(Actually I didn't realize that my answer was correct at first so... :D)

:D I feel like a teacher now ;) but I am not worried about you, you are a good student ;) , actually you had answer many of this constest :D

  ·  8 years ago (edited)

:D I know, I got some prize money already. I'm totally fine with it. But it really reminded me of a story from school when our math teacher gave us a really really complicated equation to solve as homework for next week. The next week only I and a few others came up with a solution and he said it's wrong and we were absoluteley puzzled because we were quite sure it's correct... he extended this homework to the next week. Then half of the class had the same answer and he stared to get a little bit nervous... turned out there was a mistake in the equation... Next time he brought cake for the whole class. :D

I will try to remember the cake :D good i did not get nervouss at all, if I make a mistake I say it and thats it :) It is how I am.

It wasn't really the correct answer though... Anyways, you were close :P