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Brick riddle

 
 
Pogoman
 
Reply Tue 3 Jul, 2007 10:09 pm
You have 3 large piles of bricks and some bricks sell for more $$. One of
the Piles each brick weighs 1.0 kilos, another pile each brick weighs 1.5
kilos, and another pile each brick weighs 2.0 kilos. the scale only can
weigh one or a combonation of bricks one time, and the scale will only
work once. You need to tell which pile is which. How do you find out the
weight of the bricks in each pile weighs?

This ones got me all stumped... Evil or Very Mad Embarrassed
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Type: Discussion • Score: 1 • Views: 1,632 • Replies: 9
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TTH
 
  1  
Reply Wed 4 Jul, 2007 01:33 am
I am not sure I understand your question. I'll give it a shot though.

Put one brick from each pile on the scale (the scale will then have three bricks = total weight 4.5 kilos)
Remove 1 brick and note the weight then remove 1 more brick and note the weight. That will tell you what each brick weighs.

Otherwise all 3 bricks on scale = 4.5 kilos
1) Remove one brick (scale now shows 3 kilos) which means that brick
weighed 1.5 kilos
2) Remove one more brick (scale now shows 1 kilo) which means that
brick weighed 2 kilos
3) Remaining brick on scale weighs 1 kilo
0 Replies
 
Bohne
 
  1  
Reply Wed 4 Jul, 2007 03:56 am
The scale only works once...

Put one brick from pile one on the scales, together with two bricks form pile two and four bricks from pile three...

If the scale shows ..., we have...
12 kg: 1 - 1kg, 2 - 1.5kg, 3 - 2 kg
11 kg: 1 - 1kg, 2 - 2kg, 3 - 1.5 kg
11.5 kg: 1 - 1.5kg, 2 - 1kg, 3 - 2 kg
9.5 kg: 1 - 1.5kg, 2 - 2kg, 3 - 1 kg
10 kg: 1 - 2kg, 2 - 1kg, 3 - 1.5 kg
9 kg: 1 - 2kg, 2 - 1.5kg, 3 - 1 kg
0 Replies
 
dadpad
 
  1  
Reply Wed 4 Jul, 2007 06:14 am
Is it a balance scale ie can put bricks on both sides?
0 Replies
 
TTH
 
  1  
Reply Wed 4 Jul, 2007 11:05 am
See, I read it as the scale can only be used once. Sad
0 Replies
 
epenthesis
 
  1  
Reply Wed 4 Jul, 2007 09:20 pm
The number of solutions using Bohne's technique is only limited by the number of bricks in each weight category as long as the requirement that the six possible combinations result in 6 different total weights is satisfied.
0 Replies
 
Bohne
 
  1  
Reply Thu 5 Jul, 2007 01:10 am
[quote="epenthesis"]The number of solutions using Bohne's technique is only limited by the number of bricks in each weight category as long as the requirement that the six possible combinations result in 6 different total weights is satisfied.[/quote]

Yes, you are right...
This was just the first I found working, as 1,2,3 did not...
Further I obviously did not search!
0 Replies
 
Tryagain
 
  1  
Reply Thu 5 Jul, 2007 08:24 am
Bohne is; not for the first time, absolutely correct:

1: 2: 3: does not produce six unique results. However at first glance 1: 2: 4 does.

Congratulations, a unique answer for a very difficult problem.
0 Replies
 
Pogoman
 
  1  
Reply Sat 7 Jul, 2007 08:10 pm
We have a winner thanks for the help all it got me a free dinner!!!! Very Happy
0 Replies
 
Bohne
 
  1  
Reply Mon 9 Jul, 2007 02:03 am
Shouldn't I get at least dessert then?
0 Replies
 
 

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