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

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Joined: 19 Sep 2010
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If 4 small boxes and 5 big boxes weigh the same as 11 small [#permalink]

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09 Oct 2010, 12:07
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35% (medium)

Question Stats:

72% (01:35) correct 28% (00:40) wrong based on 25 sessions

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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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09 Oct 2010, 12:13
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.

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Re: Boxes   [#permalink] 09 Oct 2010, 12:13
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