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The cost of a square slab is proportional to its thickness

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Manager
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Joined: 09 Feb 2006
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Location: Prague, CZ
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The cost of a square slab is proportional to its thickness [#permalink] New post 16 Jul 2006, 06:52
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The cost of a square slab is proportional to its thickness and also proportional to the square of its length. What is the cost of a square slab that is 3 meters long and 0.1 meter thick?

(1) The cost of a square slab that is 2 meters long and 0.2 meter thick is $160 more than the cost of a square slab that is 2 meters long and 0.1 meter thick.

(2) The cost of a square slab that is 3 meters long and 0.1 meter thick is $200 more than the cost of a square slab that is 2 meters long and 0.1 meter thick.
Senior Manager
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Joined: 12 Mar 2006
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 [#permalink] New post 16 Jul 2006, 07:13
D

in both cases we can get eqs to solve for const in l^2*thk*Const

so we can calculate the ans
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 [#permalink] New post 18 Jul 2006, 00:35
Got D.

On solving either of the statements, we can get the value of the constant and can then find the required cost of the slab.
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 [#permalink] New post 18 Jul 2006, 02:49
D.
Given

C = K*W*L^2 where K is the constant

1) K*W1*L1^2 - K*W2*L2^2 = 160
Can find K from here.
2) similar to 1

Hence D
  [#permalink] 18 Jul 2006, 02:49
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The cost of a square slab is proportional to its thickness

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