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# Joan has two pieces of cloth, one red and one blue. The blue cloth's

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Joan has two pieces of cloth, one red and one blue. The blue cloth's  [#permalink]

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09 Sep 2018, 07:49
00:00

Difficulty:

45% (medium)

Question Stats:

72% (01:51) correct 28% (01:43) wrong based on 29 sessions

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Joan has two pieces of cloth, one red and one blue. The blue cloth's length is 1 inch shorter than that of the red cloth and the blue cloth's width is 2 inches longer than that of the red cloth. If the red cloth is a square, what is its area?

(1) There is a 25% difference between the red and blue cloths in one of the dimensions.
(2) The longer width is 25% greater than the shorter width.

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Re: Joan has two pieces of cloth, one red and one blue. The blue cloth's  [#permalink]

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09 Sep 2018, 15:10
Bunuel wrote:
Joan has two pieces of cloth, one red and one blue. The blue cloth's length is 1 inch shorter than that of the red cloth and the blue cloth's width is 2 inches longer than that of the red cloth. If the red cloth is a square, what is its area?

(1) There is a 25% difference between the red and blue cloths in one of the dimensions.
(2) The longer width is 25% greater than the shorter width.

Call each side of the red square x. Technically we are looking for x^2 but since this is data sufficiency all we need is x.

Therefore the sides of the blue cloth are (x+2) & (x-1) respectively.

1) This gives us two possible scenarios.

Either:

x+2 = 1.25x

or

x = 1.25(x-1)

x has two possible values --> 8 or 5. Therefore insufficient.

2) This was one of our options from statement 1 but now we know we don't have any possibility other than the x + 2 = 1.25x. Therefore x = 8
SUFFICIENT

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Re: Joan has two pieces of cloth, one red and one blue. The blue cloth's   [#permalink] 09 Sep 2018, 15:10
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