If a farmer sells 15 of his chickens, his stock of feed will : GMAT Problem Solving (PS)
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# If a farmer sells 15 of his chickens, his stock of feed will

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Current Student
Joined: 24 Apr 2012
Posts: 38
GMAT 1: 660 Q48 V33
WE: Information Technology (Health Care)
Followers: 0

Kudos [?]: 14 [0], given: 35

If a farmer sells 15 of his chickens, his stock of feed will [#permalink]

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12 Dec 2012, 12:43
00:00

Difficulty:

55% (hard)

Question Stats:

56% (02:48) correct 44% (02:00) wrong based on 16 sessions

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If a farmer sells 15 of his chickens, his stock of feed will last for 4 more days than planned, but if he buys 20 more chickens, he will run out of feed 3 days earlier than planned. If no chickens are sold or bought, the farmer will be exactly on schedule. How many chickens does the farmer have?

A. 12
B. 24
C. 48
D. 55
E. 60
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Posts: 647
Location: India
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Kudos [?]: 547 [1] , given: 23

Re: If a farmer sells 15 of his chickens [#permalink]

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12 Dec 2012, 22:54
1
KUDOS
gmatgeek wrote:
If a farmer sells 15 of his chickens, his stock of feed will
last for 4 more days than planned, but if he buys 20
more chickens, he will run out of feed 3 days earlier
than planned. If no chickens are sold or bought, the
farmer will be exactly on schedule. How many chickens
does the farmer have?
 12
 24
 48
 55
 60

Say farmer has n chicken and he is good for d days.:-
We have 3 equations given in question:-

(n-15) * d+4 =(n+20) *(d-3) = n * d

Solving these: (You can solve 1st and 3rd and 2nd and 3rd together)
We get:
20d-3n=60
4n-15d =60

=> n=60

Ans E it is!
_________________

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Re: If a farmer sells 15 of his chickens   [#permalink] 12 Dec 2012, 22:54
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