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# If Steve and David each bought some candies, did Steve buy more candie

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
If Steve and David each bought some candies, did Steve buy more candie  [#permalink]

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16 Oct 2018, 23:30
00:00

Difficulty:

15% (low)

Question Stats:

89% (00:34) correct 11% (00:56) wrong based on 34 sessions

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If Steve and David each bought some candies, did Steve buy more candies than David?

(1) Steve bought 3/5 of the total number of candies they bought together.

(2) They together bought a total of 50 candies.

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Director
Joined: 19 Oct 2013
Posts: 508
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
If Steve and David each bought some candies, did Steve buy more candie  [#permalink]

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18 Oct 2018, 14:32
Bunuel wrote:
If Steve and David each bought some candies, did Steve buy more candies than David?

(1) Steve bought 3/5 of the total number of candies they bought together.

(2) They together bought a total of 50 candies.

We want to know if S > D

Statement 1) 3/5 this clearly indicates that steve bought 60% of the candies regardless of their number we know he bought more than david. Sufficient.

Statement 2) tells us D + S = 50

Without any further information we cannot tell.

Insufficient.

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Director
Status: Come! Fall in Love with Learning!
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Re: If Steve and David each bought some candies, did Steve buy more candie  [#permalink]

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18 Oct 2018, 22:58
Hi,

This could easily be a C-Trap answer for the beginners.

Total number of candies is not required to answer this question.

If “x” is the number of candies bought by Steve and “y” is the number of candies bought by David.

Question:

Is x > y ?

Statement I is sufficient:

Steve bought 3/5 of the total number of candies they bought together.

Given,

x = 3/5 * (x+y)

x = 3/5 * x + 3/5 * y

2/5 * x = 3/5 *y

2x = 3y

x = 3/2 * y

So, x > y

So sufficient.

Statement II is insufficient:

They together bought a total of 50 candies.

We know only x+y = 50

So clearly insufficient.

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Re: If Steve and David each bought some candies, did Steve buy more candie   [#permalink] 18 Oct 2018, 22:58
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