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

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

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New post 14 Feb 2016, 05:29
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Question Stats:

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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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New post 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

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

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New post 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

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

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New post 23 Feb 2018, 09:25
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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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