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Albert sells chocolate ice-cream for $0.15 per cup and  Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: SVP Joined: 04 May 2006 Posts: 1936 Schools: CBS, Kellogg Followers: 19 Kudos [?]: 433 [0], given: 1 Albert sells chocolate ice-cream for$0.15 per cup and [#permalink]  23 May 2008, 01:51
Albert sells chocolate ice-cream for $0.15 per cup and vanilla ice-cream for$0.14 per cup. If Albert earned $5 during his day's work, what is the least number of vanilla cups he could have sold? 0 5 10 15 20 I need your reasoning! Thanks! _________________ CEO Joined: 17 Nov 2007 Posts: 3578 Concentration: Entrepreneurship, Other Schools: Chicago (Booth) - Class of 2011 GMAT 1: 750 Q50 V40 Followers: 406 Kudos [?]: 2133 [1] , given: 359 Re: M16-33 [#permalink] 23 May 2008, 02:12 1 This post received KUDOS Expert's post C we can write out: 0.15x+0.14y=5 or 15x+14y=500 1. 15x and 500 is divisible by 5, so 14y has to be also divisible by 5 2. It is possible for y=0,5,10,15.... or y=5k where k in an integer. 3. 15x+14*5k=500 --> 3x=100-14k 4. find the least number k that 100-14k is divisible by 3: 100 is not, 86 is not, 72 - is divisible (k=2) and therefore, x=10. _________________ HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame Manager Joined: 11 Apr 2008 Posts: 157 Schools: Kellogg(A), Wharton(W), Columbia(D) Followers: 1 Kudos [?]: 55 [0], given: 0 Re: M16-33 [#permalink] 23 May 2008, 04:26 sondenso wrote: Albert sells chocolate ice-cream for$0.15 per cup and vanilla ice-cream for $0.14 per cup. If Albert earned$5 during his day's work, what is the least number of vanilla cups he could have sold?

0
5
10
15
20

Let,
No. of chocolate ice-cream for $0.15 per cup = C No. of vanilla ice-cream for$0.14 per cup = V