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Five boxes together weigh 150 pounds. What is the weight of the

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Five boxes together weigh 150 pounds. What is the weight of the  [#permalink]

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New post 18 Oct 2017, 02:05
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Five boxes together weigh 150 pounds. What is the weight of the heaviest box?

(1) One of the boxes weighs 80 pounds.
(2) The lightest box weighs four pounds and three of the other boxes have the same weight.

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Re: Five boxes together weigh 150 pounds. What is the weight of the  [#permalink]

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New post 18 Oct 2017, 02:52
nkmungila wrote:
Five boxes together weigh 150 pounds. What is the weight of the heaviest box?

(1) One of the boxes weighs 80 pounds.
(2) The lightest box weighs four pounds and three of the other boxes have the same weight.


1. If one of the boxes weighs 80 pounds and
if the total weight is 150 pounds and there are 5 boxes,
the box with weight of 80 pounds is the heaviest box(Sufficient)

2.There are two cases :
Case 1: 4,30,30,30,26(where the 3 boxes with equal weight are the heaviest)
Case 2: 4,10,10,10,116(the box with the weight 116 is the heaviest)(Insufficient)(Option A)
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Re: Five boxes together weigh 150 pounds. What is the weight of the  [#permalink]

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New post 18 Oct 2017, 10:58
nkmungila wrote:
Five boxes together weigh 150 pounds. What is the weight of the heaviest box?

(1) One of the boxes weighs 80 pounds.
(2) The lightest box weighs four pounds and three of the other boxes have the same weight.


Statement 1: weight of \(4\) boxes combined \(= 150-80=70\). Hence the box weighing \(80\) pounds is the heaviest. Sufficient

Statement 2: let the three boxes with same weight be \(x\) and the weight of the remaining box be \(y\)

so \(4+3x+y=150\). we have two variables and one equation. Hence cannot be solved. Insufficient

Option A
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Re: Five boxes together weigh 150 pounds. What is the weight of the &nbs [#permalink] 18 Oct 2017, 10:58
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