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# A ranch has horses and ponies. Five-sixths of the ponies

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Intern
Joined: 25 May 2008
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A ranch has horses and ponies. Five-sixths of the ponies [#permalink]  27 May 2008, 22:23
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A ranch has horses and ponies. Five-sixths of the ponies have horseshoes. Half of the ponies with horseshoes are Icelandic. If there are three more horses than ponies, what is the minimum number of horses and ponies on the ranch?

A) 12

B) 15

C) 27

D) 48

E) 54

I couldnot decipher the icelandic part..
Director
Joined: 23 Sep 2007
Posts: 797
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Re: PS - horses and ponies [#permalink]  27 May 2008, 22:31
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27 C

The icelandic phrase is the key to solving the problem.

if 5/6 of the ponies have shoes, and HALF of them are icelandic. Half of 5/6 is 2.5/6, but you can't have half of a pony, so you must double the 5/6 to 10/12.

12 is the minimum numbers of ponies

15 is the minimum numbers of horses
Intern
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Re: PS - horses and ponies [#permalink]  27 May 2008, 23:42
Thanks for the lucid explaination.
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Re: PS - horses and ponies [#permalink]  28 May 2008, 07:38
kapilnegi wrote:
A ranch has horses and ponies. Five-sixths of the ponies have horseshoes. Half of the ponies with horseshoes are Icelandic. If there are three more horses than ponies, what is the minimum number of horses and ponies on the ranch?

A) 12

B) 15

C) 27

D) 48

E) 54

I couldnot decipher the icelandic part..

P=ponies
H=Horses

5/6p have horshoes. 1/2*5/6p are icelandic. --> 5/12p

3+p=h

min for p must be 12 b/c we have to have a whole number for 5/12p ---> thus 12=p and 15=h

27.

C
Re: PS - horses and ponies   [#permalink] 28 May 2008, 07:38
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