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The only contents of a shopping bag are 20 large buttons and 32 small

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SVP
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The only contents of a shopping bag are 20 large buttons and 32 small  [#permalink]

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New post 25 May 2017, 09:41
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The only contents of a shopping bag are 20 large buttons and 32 small buttons. What is the total weight, in ounces, of the bag’s contents?

(1) Each small button weighs 4/9 as much as each large button.
(2) The total weight of 4 large buttons is 9 times the weight of 1 small button.

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Re: The only contents of a shopping bag are 20 large buttons and 32 small  [#permalink]

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New post 25 May 2017, 10:24
SajjadAhmad wrote:
The only contents of a shopping bag are 20 large buttons and 32 small buttons. What is the total weight, in ounces, of the bag’s contents?

(1) Each small button weighs 4/9 as much as each large button.
(2) The total weight of 4 large buttons is 9 times the weight of 1 small button.


This is a copy of the following OG problem: https://gmatclub.com/forum/the-only-con ... 67338.html
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Re: The only contents of a shopping bag are 20 large buttons and 32 small  [#permalink]

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New post 25 May 2017, 10:52
Let weight of each large button = x, weight of each small button = y. We have to find (20x+32y)

Statement 1. y=4x/9.
So required weight = 20x + 32*4/9x
But still we don't know x so insufficient.

Statement 2. 4x = 9y or y = 4x/9
Same as first statement. Insufficient.

Even after combining, we have y = 4x/9. But we don't know what is x or y. So Insufficient. Answer is E
Re: The only contents of a shopping bag are 20 large buttons and 32 small &nbs [#permalink] 25 May 2017, 10:52
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