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Brick Problem


Lithumist
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here is a word problem i found, it took me about 20 minutes to find out the answer and i dont even know if it's correct. Here's the problem:

1 brick weighs 1kg plus half of a brick. How much does a brick and a half weigh?

My answer:

>! 3kg
>! i used algebra to work it out.
1 brick is 1kg plus half of a brick.
half of a brick plus half of a brick is a brick.
so doesnt that mean the half of a brick is 1kg?  :huh:
if half of a brick is 1kg, then a brick must be 2kg
then a brick and a half is 3kg

What do you guys think the answer is and why
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@Draken:

> he is saying  1.5 bricks = 1kg
>
> or saying 1 brick = 1kg and asking for how much 1.5 would be which is 1brick =1kg so 1.5 bricks =1.5kg

nope, im saying that 1 brick weighs 1kg + half of the weight of a brick

understand now?

@Zetta:

> @Lith:
>
> > 1 brick = x
> > x = 1kg + x/2
>
> x - x/2 = 1kg
> x(1 - 1/2) = 1kg
> x(1/2) = 1kg
> **x = 2kg**
>
> check your math.

sorry i ment that x is the weight of 1 brick.

The question asks what is the weight of 1 brick + the weight of half a brick.
The question also says the the weight of 1 brick is 1kg + the weight of half of a brick

So if x is the weight of a brick…
x = 1kg + 1/2
x is equal to 1 killogram plus the weight of half a brick.
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also it should be

> 1 brick is 1kg plus 1/2 brick

so
x = 1 brick
x = 1kg + x/2
x = 1kg + (1kg + x/2)/2
x = 1kg + (1kg + (1kg + x/2)/2)/2
x = 1kg + (1kg + (1kg + (1kg + x/2)/2)/2)/2
…
x = 1kg + (1kg + (1kg + (1kg + (1kg + (1kg + (1kg + (1kg + (1kg + (1kg + (1kg + x/2) / 2) / 2) / 2) / 2) / 2) / 2) / 2) / 2) / 2) / 2) / 2) / 2
![](http://rageguy.com/RageGuy_FFFUUUU.png)
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(cont)
x = 1 brick
x = 1kg + x/2
x = 1kg + (1kg + x/2)/2

x = Σ[k = 0 to inf](x/2^k) + 1
lim[k -> inf](1/2^k) = 0
lim(Σ[k = 0 to inf](1/2^k)) = 1
x = 1 + 1
x = 2

thats how you solve it properly. So everyone, STOP DUCKING TRYING TO SOLVE IT. Unless you find an error in my math, its solved.
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@Zetta:

> everyone, STOP DUCKING TRYING TO SOLVE IT.

He had already solved it correctly in the first post…

@Lith:

> **How much does a brick and a half weigh?**

@Lith:

> **a brick and a half is 3kg**

Both the Calculus way and the Algebra way are acceptable. Geometry tiemz? ;D
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What the heck are you guys doing? And since when is this Yahoo! Answers?

"_1 brick weighs 1kg plus half of a brick. How much does a brick and a half weigh?_"
**Conventional**:
b = the weight of a brick.

**Provided**:
b = 1 + 1/2b
1/2b = 1
b = 2

**Questioned**:
3/2b = ?

**Solution**:
3/2b = b + 1/2b
3/2b = 2 + 1/2.2
3/2b = 2 + 1
3/2b = 3

**Proof:**
3/2b = 3
3b = 6
b = 2

**Answer:**
A whole brick and a half brick together have a weight of three kilogrammes.

Regards,
  Stephan.

**P.S.** learn to answer the question, which was: "How much does a brick and a half weigh?" and not: "How much does a brick weigh?"
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If a brick weighs 1kg and a half brick..
Wouldn't we need to know what the half brick weighs, because it could be more than the 1kg provided? It doesn't say that the brick weighs 1kg, just that with the half brick it does.
If not the most logical is a half brick is 0.5kg and then its 1.5kg per brick, but then the half of a brick is 0.75kg.. Mindfuck.
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@Lukin:

> If a brick weighs 1kg and a half brick..
> Wouldn't we need to know what the half brick weighs, because it could be more than the 1kg provided? It doesn't say that the brick weighs 1kg, just that with the half brick it does.
> If not the most logical is a half brick is 0.5kg and then its 1.5kg per brick, but then the half of a brick is 0.75kg.. Mindfuck.

What do you add to half a brick to get a whole brick?

Half a brick.

And the question says the weight of 1 brick is 1kg + the weight of half a brick.
the only other thing you could add to half a brick to get a whole brick, is half a brick.

Therefore half a brick must be 1kg. Thats the hard part done.
Now you know that half a bick is 1kg, so a whole brick is 2kg.

So a brick and a half is 3kg.
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