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An eccentric casino owner decides that his casino should

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An eccentric casino owner decides that his casino should [#permalink] New post 18 Mar 2013, 23:12
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Question Stats:

75% (02:12) correct 25% (00:57) wrong based on 69 sessions
An eccentric casino owner decides that his casino should only use chips in $5 and $7 denominations. Which of the following amount cannot be paid out using these chips?

A. $31
B. $29
C. $26
D. $23
E. $21
[Reveal] Spoiler: OA

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Last edited by Bunuel on 18 Mar 2013, 23:26, edited 1 time in total.
Edited the question.
Director
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Joined: 03 Aug 2012
Posts: 915
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
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Kudos [?]: 275 [0], given: 320

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Re: An eccentric casino owner decides [#permalink] New post 18 Mar 2013, 23:13
I have a query in this question?

As there it is not mentioned that there can be no chips for particular denomination.

Eqn: 5x + 7y

My query is can we have either x = 0 or y=0 or both?
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Re: An eccentric casino owner decides [#permalink] New post 18 Mar 2013, 23:33
Expert's post
targetgmatchotu wrote:
An eccentric casino owner decides that his casino should only use chips in $5 and $7 denominations. Which of the following amount cannot be paid out using these chips?

A. $31
B. $29
C. $26
D. $23
E. $21

I have a query in this question?

As there it is not mentioned that there can be no chips for particular denomination.

Eqn: 5x + 7y

My query is can we have either x = 0 or y=0 or both?


Yes, the number of 5 or/and 7 dollar chips can be zero, however both being zero mean that the casino is paying out $0, which is not realistic.

Each option but D can be represented as the sum of a multiple of 5 and a multiple of 7:

A. $31 = 7*3 + 5*2
B. $29 = 7*2 + 5*3
C. $26 = 7*3 + 5*1
E. $21 = 7*3

Answer: D.

Hope it's clear.
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Re: An eccentric casino owner decides that his casino should [#permalink] New post 05 Aug 2013, 09:49
Is there an easier method than trial and error?

Thx!
Re: An eccentric casino owner decides that his casino should   [#permalink] 05 Aug 2013, 09:49
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