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# A poultry farm has only chickens and pigs. When the manager of the pou

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Math Expert
Joined: 02 Sep 2009
Posts: 59561
A poultry farm has only chickens and pigs. When the manager of the pou  [#permalink]

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14 Feb 2016, 05:29
00:00

Difficulty:

25% (medium)

Question Stats:

76% (01:21) correct 24% (01:45) wrong based on 49 sessions

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A poultry farm has only chickens and pigs. When the manager of the poultry counted the heads of the stock in the farm, the number totalled up to 200. However, when the number of legs was counted, the number totalled up to 540. How many more chickens were there in the farm? Note: Each pig had 4 legs and each chicken had 2 legs.

A. 70
B. 120
C. 60
D. 130
E. 80
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Re: A poultry farm has only chickens and pigs. When the manager of the pou  [#permalink]

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14 Feb 2016, 11:42
1
Let number of chickens = c
and number of pigs = p
p+c = 200
=> 2p+ 2c = 400 -- 1
4p+ 2c = 540 -- 2

From equation 1 and 2 , we get
2p = 140
=> p = 70
c= 130
c-p = 130-70=60

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Joined: 18 Sep 2014
Posts: 223
Re: A poultry farm has only chickens and pigs. When the manager of the pou  [#permalink]

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14 Feb 2016, 11:48
A poultry farm has only chickens and pigs. When the manager of the poultry counted the heads of the stock in the farm, the number totalled up to 200. However, when the number of legs was counted, the number totalled up to 540. How many more chickens were there in the farm? Note: Each pig had 4 legs and each chicken had 2 legs.

A. 70
B. 120
C. 60
D. 130
E. 80

c+p=200
2c+4p=540

p = 70
c = 130
Req ans = 130-70 = 60

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A poultry farm has only chickens and pigs. When the manager of the pou  [#permalink]

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23 Feb 2018, 09:25
2
Bunuel wrote:
A poultry farm has only chickens and pigs. When the manager of the poultry counted the heads of the stock in the farm, the number totalled up to 200. However, when the number of legs was counted, the number totalled up to 540. How many more chickens were there in the farm? Note: Each pig had 4 legs and each chicken had 2 legs.

A. 70
B. 120
C. 60
D. 130
E. 80

C + P = 200 -> C = 200 - P

4P + 2C = 540
4P + 2(200 - P) = 540
4P + 400 - 2P = 540
2P = 140 -> P = 70

C = 200 - P = 200 - 70 = 130
C - P = 130 - 70 = 60

Therefore, the poultry farm has 60 (Option C) more chickens on the farm
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A poultry farm has only chickens and pigs. When the manager of the pou   [#permalink] 23 Feb 2018, 09:25
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