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number properties

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number properties [#permalink]

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New post 16 Dec 2009, 03:21
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Jaime earned enough money by selling seashells at 25 cents each to buy several used paperback books at 55 cents each. If he spent all of the money he earned selling seashells to buy the books, what is the least number of seashells he could have sold?

(A) 5
(B) 11
(C) 17
(D) 25
(E) 30
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Re: number properties [#permalink]

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New post 16 Dec 2009, 03:33
several books = at least 2

2 books = $0.55 x 2 = $1.10
1 seashell = $0.25
5 seashells = $1.25
Anything less than 5 seashells will not be enough to buy at least two books.

So my answer is A.

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Re: number properties [#permalink]

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New post 16 Dec 2009, 06:55
xcusemeplz2009 wrote:
Jaime earned enough money by selling seashells at 25 cents each to buy several used paperback books at 55 cents each. If he spent all of the money he earned selling seashells to buy the books, what is the least number of seashells he could have sold?

(A) 5
(B) 11
(C) 17
(D) 25
(E) 30


If he spent all of the money he earned selling shells, then the amount he earned must not give any remainder when we divide by 55 = 5*11, and must therefore be a multiple of 11. So B is the correct answer; he could have sold 11 shells and bought 5 books.
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Re: number properties [#permalink]

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New post 17 Dec 2009, 04:03
Yes B it should be...

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Re: number properties [#permalink]

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New post 31 Jan 2010, 12:58
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This post received
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xcusemeplz2009 wrote:
Jaime earned enough money by selling seashells at 25 cents each to buy several used paperback books at 55 cents each. If he spent all of the money he earned selling seashells to buy the books, what is the least number of seashells he could have sold?

(A) 5
(B) 11
(C) 17
(D) 25
(E) 30


No of seashells = s
No of Books = b

25s = 55b
5s = 11b
only if s = 11 (least), b would be an integer....
Therefore answer is B
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Re: number properties [#permalink]

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New post 12 Feb 2010, 18:41
B 11

let number of sea shells=s and no of books =b

then, s(25)=b(55) => s(5)=b(11)

So, s should be a multiple of 11 and the smallest multiple of 11 is 11 itself.

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Re: number properties [#permalink]

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New post 09 Oct 2017, 10:08
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).

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Re: number properties   [#permalink] 09 Oct 2017, 10:08
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