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# If the total weight of d equally weighted objects is 40 pounds, how

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Math Expert
Joined: 02 Sep 2009
Posts: 49496
If the total weight of d equally weighted objects is 40 pounds, how  [#permalink]

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03 Oct 2017, 00:03
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Difficulty:

75% (hard)

Question Stats:

35% (01:52) correct 65% (01:42) wrong based on 48 sessions

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If the total weight of d equally weighted objects is 40 pounds, how much does each individual object weigh?

(1) If the weight of each object was 25% greater, then the total weight would have been 10 pounds greater.
(2) If the weight of each object was 1/4 of pound less, the total weight would have been 7.5 pounds less.

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Joined: 31 Oct 2016
Posts: 110
Re: If the total weight of d equally weighted objects is 40 pounds, how  [#permalink]

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03 Oct 2017, 00:26

Weight of each object = 40/d

st (1): (40/d)*1.25 - 10 = 40/d => we can find d
st (2): (40/d)*0.75 + 7.5 = 40/d => we can find d
Intern
Joined: 29 Aug 2017
Posts: 35
Re: If the total weight of d equally weighted objects is 40 pounds, how  [#permalink]

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03 Oct 2017, 23:15
Bunuel wrote:
If the total weight of d equally weighted objects is 40 pounds, how much does each individual object weigh?

(1) If the weight of each object was 25% greater, then the total weight would have been 10 pounds greater.
(2) If the weight of each object was 1/4 of pound less, the total weight would have been 7.5 pounds less.

Total weight - 40
Weight of each - w = 40/d = ?
i.e., w = ? or d = ?

Statement 1:
Weight of each of the equally weighted objects is increased by 25% => total weight is also increased by 25%
40 increased by 25% is 50 which is 10 pounds greater.
Irrespective of the value of d, this is always true.
So, this statement is not sufficient.

Statement 2:
(w - 0.25)d = 40 - 7.5 = 32.5
(40/d - 0.25)d = 32.5
40 - 0.25d = 32.5
Value of d can be found out and thus weight of each object as it is equal to 40/d.

Re: If the total weight of d equally weighted objects is 40 pounds, how &nbs [#permalink] 03 Oct 2017, 23:15
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# If the total weight of d equally weighted objects is 40 pounds, how

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