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# Belt

21 replies to this topic

### #11 hipowertech

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Posted 01 November 2007 - 11:53 PM

96 if I got my halvsies and thirdsies right.

by the by

heres the question..............

If a person with a 96cm waist was wearing the belt, would he/she be suffocated on the first, second, or third wish?

I would have wished the belt didn't shrink
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### #12 darkrenown

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Posted 06 November 2007 - 01:12 PM

Width is (((9/3)/3)/3) = 1/3 after 3 wishes
Area is 4cm (squared) so final length is 4 / 1/3 = 12

So original length is (((12*2)*2)*2) = 96

I know everyone has said it before, just confirming my working!
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### #13 TheChaos92

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Posted 10 November 2007 - 01:34 PM

i tought he wished to make it a diffrent size....but if you want to go though all of that complication
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### #14 Sinsemilla

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Posted 28 November 2007 - 12:15 AM

Belt - Back to the Logic Puzzles
A magic rectangular belt always shrinks its length to 1/2 and width to 1/3 whenever its owner wishes something. After three such wishes, its surface was 4 cm2. What was the original length, if the original width was 9 cm?

I hate to be anal, but a belt is three dimensional. Even if the thickness of the belt were small enough to be neglegable, the belt would still have a front and a back. At most, the surface area of one side is 2 cm^2, resulting in an original length of 48 cm. You could just change the puzzle to state that "After three such wishes, the surface area of the front side was 4 cm^2."
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### #15 rookie1ja

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Posted 28 November 2007 - 12:43 AM

Belt - Back to the Logic Puzzles
A magic rectangular belt always shrinks its length to 1/2 and width to 1/3 whenever its owner wishes something. After three such wishes, its surface was 4 cm2. What was the original length, if the original width was 9 cm?

I hate to be anal, but a belt is three dimensional. Even if the thickness of the belt were small enough to be neglegable, the belt would still have a front and a back. At most, the surface area of one side is 2 cm^2, resulting in an original length of 48 cm. You could just change the puzzle to state that "After three such wishes, the surface area of the front side was 4 cm^2."

puzzle edited
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### #16 mangulo13

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Posted 06 December 2007 - 12:26 AM

Belt - Back to the Logic Puzzles
A magic rectangular belt always shrinks its length to 1/2 and width to 1/3 whenever its owner wishes something. After three such wishes, its surface was 4 cm2. What was the original length, if the original width was 9 cm?

I hate to be anal, but a belt is three dimensional. Even if the thickness of the belt were small enough to be neglegable, the belt would still have a front and a back. At most, the surface area of one side is 2 cm^2, resulting in an original length of 48 cm. You could just change the puzzle to state that "After three such wishes, the surface area of the front side was 4 cm^2."

puzzle edited

I believe this is one of those puzzles that you take literally and when the owner makes a wish the belts lengt goes to 1/2. Not that it is half each wish. It never says that it is each time.
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### #17 pmreddys

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Posted 11 December 2007 - 07:24 AM

Hello!
i am new to this.
Let me put the solution in this way.

Let the original lenght = x cm.
and the given width = 9 cm.
1st wish:
lenght =x/2 cm; width =9/3=3 cm;
2nd wish:
lenght =x/4 cm; width =1 cm;
3rd wish:
lenght =x/8 cm; width =1/3 cm;

After three wishes:

The given Surface area A (say) = 4 cm2;
Surface area A = length * width;

4 cm2 =(x/8 )*(1/3) cm2;
x = 4 *24= 96 cm;
The original length x= 96 cm;
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### #18 puhzzld1001

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Posted 12 December 2007 - 06:36 PM

I did it kinda like everyone else...

1. I divided 9 ( the original width) by 3, 3(new width) by 3, then 1( new, new , width) by 3, for the 3 wishes. This gave me 1/3 for the resulting width.
2. Next, i divided 4cm squared by 1/3, and got 12.
3. I doubled thise 3 times ( for the 3 wishes) to get 96, the original width.
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### #19 xposer

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Posted 19 March 2008 - 07:38 PM

simple i just used an equation to solve:

L= Length
W= Width

1/8L (1/27W) = 4

then just put 9 in for the width and solved for the length

(FYI i got 1/8 from placing 1/2 to the third power since it was wished to shrink 3 times, and did the same for the length- 1/3 ^ 3)
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### #20 scuttill

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Posted 26 March 2008 - 04:40 PM

Spoiler for Original Length

Edited by scuttill, 26 March 2008 - 04:42 PM.

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