This puzzle had me baffled for hours, but it's actually quite simple . . .
Take 10 kilograms of tomatoes with a water content of 95%..
Spread them out in the sun.and wait until their water content is down to 90%.
What do they now weigh?
Brain Teaser: This puzzle had me... - Lung Conditions C...
Brain Teaser
Written by
stilltruckin
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62 Replies
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9.95 kg
9.5kg
9.5kg
Nobody's got it yet. You're not looking at it the right way . . .
9.4736Kg
10kg
4 kilograms, because mama Rina used the rest to make tomato sauce for the spaghetti 
All incorrect, but BlakeyC gets a merit for showing her workings . . .
in reply to stilltruckin
go on you..... 
.....so tell what is the real answer?
not yet, I'm still working on it . . .
9 kilos ???
Nope. Are you just guessing?
Nooooo, or maybe kind of. I figured the 90% would be 90% of a new weight, then i gave up. Too exhausting. Maybe its staring us in the face.
10 kgs??
in reply to
Try again Wendells, Quintus already said that one.
in reply to
Now I'm blind as well,lol.x
in reply to
Oh Carrots, hope you are feeling a little better today Wendells?
Is it 4.5 kilos?
Original tomatoes 9.5kgs water and 0.5kgs pulp.
With dried tomatoes 90% water 10% pulp.
Pulp does not change so 0.5kgs pulp = 10%
To get weight of 90% water 9 x 0.5 =4.5 kgs
Total weight of dried tomatoes 5kgs
So answer 5 kgs.
Yes, well done! To put it simply, if 10% (the dry-tomato-stuff) weighs 0.5 kg then 100% = 5 kg.
Another try 9.48kg
See above. My first attempt was to say 90% of the 9.5 kg of water = 8.55 kg plus the 0.5 kg of dry-tomato-stuff = 9.05 kg. The correct answer is so counter-intuitive, isn't it?
I did actually know the answer immediately but had a feeling bugsbunny knew too and decided to let her take the glory 
Lol - I didn't even understand the working out! Well done bugsbunny! Sadie xx
We'll done bugs bunny. My husband got the right answer and I didn't believe him.
I was still trying
KOTC
I've got another . . .
You will be testing me to the limits
One in every thousand apparently healthy people are in fact infected with a deadly disease. Once the symptoms begin to show it's too late, but the disease has a long incubation period and can be cured if caught early.
There is a test that can detect the disease before any symptoms appear. The test is 98% accurate. It has a zero false-negative rate - i.e., if you are harboring the disease it will be detected without fail, but it has a 2% false-positive rate - i.e., 2 out of every 100 people that test positive are in fact disease-free.
If you test positive for the disease, what is the probability that you actually have it?
in reply to stilltruckin
You lost me at "One in every thousand..."
now I'm confused.....
Well you start off by saying one in a thousand?
1/1000 is the probability of any one person in the general population incubating the disease.
The question is what is the probability of a person who has tested positive for the disease actually having it, given that the test is not 100% accurate . . .
98%
Well in that case.....I have no clue!! Sadie xx
Just like the first one, it's basically a very simple calculation . . .
80percent
50,000:1
0.5
Oh gosh, this is all beyond me, never good at anything to do with maths. Can we talk Macbeth or king Lear?
20? Sadie xx
Yes, 2% of 1000 is 20. Therefore . . .
.98%
20? Sadie right? xx
Yes indeed. And so the answer to the puzzle is . . .
another wild guess then 0.2%
.98%? Sorry, am hopeless.
My head hurts thinking about it! x
I'm numerically challenged!! x
You're teasing me, aren't you?
You know that 1 in 1000 actually has the disease, and that 20 of every 1000 tests are false positives.
But you really have no idea how probable it is that someone who tests positive actually has the disease?
You expect me to believe that?
Sadly, no not teasing. I'll go with Peeg, .2%! I bet you're sitting there Antonia, thinking how can this woman be so stupid! I wonder myself!! Give me middle english anytime Sadie xxx
Ok. I certainly don't think you're stupid, so it's intriguing that you can't see something that seems very obvious to me . . .
If 1000 people are tested for the disease there will be 1 true-positive and 20 false-positive results. Therefore the probability of a positive result being accurate is 1 in 21 (approximately 5%)
Do you see??
Ha ha, now you've explained it! Anything with a number in sends my brain to spaghetti. Always thought I'm dyslexic.with numbers. I've always had to check, re-check and triple check any numbers I write down, my brain says one thing and my hand says another! Good fun though, thanks. Sadie xx
You know that people who have problems reading and writing have Dyslexia - well I have a similar problem with numbers. It's called Dyscalculia - honest.
sadie1951 in reply to
Thanks for that, have just looked it up. I used to do my husbands accounts and vat, but it was a terrible chore, all the checking and rechecking. My main problem is transposing numbers, they might all be there, but in the wrong order, and in my head it's impossible. So, we're dyscalculians eh?! The only flaw in otherwise perfect self!! If only ...... Sadie xx
Oh sadie, I could never do that. Give me a list of 6 digits and I can add them up 6 times and get 6 different answers ;-}
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