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# M19-25

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Math Expert
Joined: 02 Sep 2009
Posts: 42302

Kudos [?]: 133019 [0], given: 12402

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16 Sep 2014, 01:06
Expert's post
2
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Difficulty:

15% (low)

Question Stats:

76% (01:16) correct 24% (01:22) wrong based on 120 sessions

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A shop sells candy bars individually or in packs of 10. If the shop charges less for purchasing a pack of 10 candy bars than for purchasing 10 candy bars individually, then how much does the shop charge for purchasing a pack of 10 candy bars?

(1) The charge for purchasing a pack of 10 candy bars is $2 more than the charge for purchasing the 8 candy bars. (2) The charge for purchasing a pack of 10 candy bars is 10 percent less than the charge for purchasing the 10 candy bars individually. [Reveal] Spoiler: OA _________________ Kudos [?]: 133019 [0], given: 12402 Math Expert Joined: 02 Sep 2009 Posts: 42302 Kudos [?]: 133019 [0], given: 12402 Re M19-25 [#permalink] ### Show Tags 16 Sep 2014, 01:06 Expert's post 1 This post was BOOKMARKED Official Solution: Say the price for purchasing a pack of 10 candy bars is $$x$$ and the price for purchasing the candy bar individually is $$y$$. (1) The charge for purchasing a pack of 10 candy bars is$2 more than the charge for purchasing the 8 candy bars. Given: $$x=8y+2$$. Two unknowns one equation. Not sufficient to calculate $$x$$.

(2) The charge for purchasing a pack of 10 candy bars is 10 percent less than the charge for purchasing the 10 candy bars individually. Given: $$x=0.9*10y$$. Two unknowns one equation. Not sufficient to calculate $$x$$.

(1)+(2) We have two distinct linear equations with two unknowns so we can solve for $$x$$ and $$y$$. Sufficient.

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Kudos [?]: 133019 [0], given: 12402

Intern
Joined: 01 Apr 2016
Posts: 2

Kudos [?]: [0], given: 39

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04 Sep 2017, 01:18
Hi there

Just wondering if the first stmt could be true by itself?

From the facts we understand that one pack of 10 is cheaper than 10 individual bars. I.e. X < 10Y

From first statement we have that X-8Y=2

If X is less than 10Y but must be greater than 8Y, could we say that it should be 9Y here. Or am I am I just assuming that it should be an integer..

Kudos [?]: [0], given: 39

Math Expert
Joined: 02 Sep 2009
Posts: 42302

Kudos [?]: 133019 [0], given: 12402

### Show Tags

04 Sep 2017, 01:32
warmpied wrote:
Hi there

Just wondering if the first stmt could be true by itself?

From the facts we understand that one pack of 10 is cheaper than 10 individual bars. I.e. X < 10Y

From first statement we have that X-8Y=2

If X is less than 10Y but must be greater than 8Y, could we say that it should be 9Y here. Or am I am I just assuming that it should be an integer..

Yes, we are not told that x and y must be integers.
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Kudos [?]: 133019 [0], given: 12402

Re: M19-25   [#permalink] 04 Sep 2017, 01:32
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# M19-25

Moderators: Bunuel, chetan2u

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