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# An eccentric casino owner decides that his casino should

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Joined: 03 Aug 2012
Posts: 920
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
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An eccentric casino owner decides that his casino should [#permalink]  18 Mar 2013, 23:12
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76% (02:12) correct 24% (01:07) wrong based on 91 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 _________________ Rgds, TGC! _____________________________________________________________________ I Assisted You => KUDOS Please _____________________________________________________________________________ Last edited by Bunuel on 18 Mar 2013, 23:26, edited 1 time in total. Edited the question. Current Student Joined: 03 Aug 2012 Posts: 920 Concentration: General Management, General Management GMAT 1: 630 Q47 V29 GMAT 2: 680 Q50 V32 GPA: 3.7 WE: Information Technology (Investment Banking) Followers: 18 Kudos [?]: 420 [0], given: 322 Re: An eccentric casino owner decides [#permalink] 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? _________________ Rgds, TGC! _____________________________________________________________________ I Assisted You => KUDOS Please _____________________________________________________________________________ Math Expert Joined: 02 Sep 2009 Posts: 29802 Followers: 4905 Kudos [?]: 53661 [0], given: 8167 Re: An eccentric casino owner decides [#permalink] 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. _________________ GMAT Club Legend Joined: 09 Sep 2013 Posts: 6783 Followers: 367 Kudos [?]: 83 [0], given: 0 Re: An eccentric casino owner decides that his casino should [#permalink] 23 Jun 2015, 01:38 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Re: An eccentric casino owner decides that his casino should [#permalink] 23 Jun 2015, 01:38 Similar topics Replies Last post Similar Topics: 5 The Full House Casino is running a new promotion. Each 10 27 Sep 2012, 11:41 5 A store owner decided to raise the price of a particular 9 10 Mar 2012, 23:04 8 A gambler bought$3,000 worth of chips at a casino in 7 25 Feb 2012, 21:23
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