If 4 small boxes and 5 big boxes weigh the same as 11 small : GMAT Data Sufficiency (DS)
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If 4 small boxes and 5 big boxes weigh the same as 11 small

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If 4 small boxes and 5 big boxes weigh the same as 11 small [#permalink]

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New post 09 Oct 2010, 11:07
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If 4 small boxes and 5 big boxes weigh the same as 11 small boxes and 2 big boxes, how much does one small box weigh?

1. One big box weighs 1 kg more than one small box.
2. The ratio of the weight of one small box to the weight of one big box is \(\frac{3}{7}\) .


How can you immediatly tell that the second statement only reiterates the information provided by the stem ?
[Reveal] Spoiler: OA
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Re: Boxes [#permalink]

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New post 09 Oct 2010, 11:13
Barkatis wrote:
If 4 small boxes and 5 big boxes weigh the same as 11 small boxes and 2 big boxes, how much does one small box weigh?

1. One big box weighs 1 kg more than one small box.
2. The ratio of the weight of one small box to the weight of one big box is \(\frac{3}{7}\) .


How can you immediatly tell that the second statement only reiterates the information provided by the stem ?


Given: \(4s+5b=11s+2b\) --> \(3b=7s\).
Question: \(s=?\)

(1) \(b=s+1\) --> \(3b=3(s+1)=7s\) --> \(s=\frac{3}{4}\). Sufficient.
(2) \(\frac{s}{b}=\frac{3}{7}\) --> \(3b=7s\), the same info as in stem. Not sufficient.

Answer: A.
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Re: If 4 small boxes and 5 big boxes weigh the same as 11 small [#permalink]

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New post 14 Nov 2016, 08:04
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Re: If 4 small boxes and 5 big boxes weigh the same as 11 small   [#permalink] 14 Nov 2016, 08:04
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