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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 totaled up to 200. However, when the number of legs was counted, the number totaled up to 540. How many more chickens were there in the farm? Note: In the farm, each pig had 4 legs and each chicken had 2 legs.
- a)70
- b)120
- c)60
- d)130
- e)80
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A poultry farm has only chickens and pigs. When the manager of the pou...
Step 1 of solving this GMAT Linear Equations Question: Assign Variables and Frame Equations
Let the number of chickens in the farm be 'x'.
Let the number of pigs in the farm be 'y'.
Let the number of pigs in the farm be 'y'.
Each pig or each chicken has one head.
Therefore, number of heads will be the same as the sum of the chickens and pigs in the farm.
The count of the heads in the farm is 200. So, the sum of the number of chickens and pigs is 200.
So, x + y = 200 .... (1)
Therefore, number of heads will be the same as the sum of the chickens and pigs in the farm.
The count of the heads in the farm is 200. So, the sum of the number of chickens and pigs is 200.
So, x + y = 200 .... (1)
Each chicken has 2 legs and each pig has 4 legs
'x' chickens will therefore, have 2x legs and 'y' pigs will have 4y legs.
The count of the legs in the farm is 540. So, the sum of the number of legs of chickens and the number of legs of pigs is 540.
Therefore, 2x + 4y = 540 .... (2)
'x' chickens will therefore, have 2x legs and 'y' pigs will have 4y legs.
The count of the legs in the farm is 540. So, the sum of the number of legs of chickens and the number of legs of pigs is 540.
Therefore, 2x + 4y = 540 .... (2)
Step 2 of solving this GMAT Linear Equations Question: Solve the system of linear equations
Multiply equation (1) by 2. We get 2x + 2y = 400 .... (3)
Subtract equation (3) from equation (2).
Subtract equation (3) from equation (2).
Substitute 'y' as 70 in equation (1).
70 + y = 200. So, x = 130
70 + y = 200. So, x = 130
'x' is the number of chickens in the farm. 'y' is the number of pigs in the farm. So, the farm has 130 chickens and 70 pigs.
Note:The question is "How many more chickens were there in the farm?"
The farm has 130 chickens and 70 pigs. So, the farm has (130 - 70) = 60 more chickens
The farm has 130 chickens and 70 pigs. So, the farm has (130 - 70) = 60 more chickens
Choice C is the correct answer to this linear equations word problem.
Most Upvoted Answer
A poultry farm has only chickens and pigs. When the manager of the pou...
Given:
- Number of heads = 200
- Number of legs = 540
- Each pig has 4 legs
- Each chicken has 2 legs
To find:
- How many more chickens were there in the farm?
Solution:
Let's assume the number of chickens as 'C' and the number of pigs as 'P'.
1. Total number of heads:
- Each chicken has one head, so the number of chicken heads = C
- Each pig has one head, so the number of pig heads = P
- Total number of heads = C + P = 200
2. Total number of legs:
- Each chicken has 2 legs, so the number of chicken legs = 2C
- Each pig has 4 legs, so the number of pig legs = 4P
- Total number of legs = 2C + 4P = 540
From the above two equations, we can write a system of equations:
Equation 1: C + P = 200
Equation 2: 2C + 4P = 540
We can solve this system of equations to find the values of C and P.
Multiplying Equation 1 by 2, we get:
2C + 2P = 400
Subtracting Equation 2 from the above equation, we get:
2C + 2P - (2C + 4P) = 400 - 540
-2P = -140
P = 70
Substituting the value of P in Equation 1, we get:
C + 70 = 200
C = 200 - 70
C = 130
Therefore, there are 130 chickens in the farm.
To find the number of additional chickens, we can subtract the number of pigs from the total number of animals (heads):
Additional chickens = Total animals (heads) - Number of pigs
Additional chickens = 200 - 70
Additional chickens = 130
So, there are 130 more chickens in the farm compared to pigs.
Hence, the correct answer is option 'C' (60).
- Number of heads = 200
- Number of legs = 540
- Each pig has 4 legs
- Each chicken has 2 legs
To find:
- How many more chickens were there in the farm?
Solution:
Let's assume the number of chickens as 'C' and the number of pigs as 'P'.
1. Total number of heads:
- Each chicken has one head, so the number of chicken heads = C
- Each pig has one head, so the number of pig heads = P
- Total number of heads = C + P = 200
2. Total number of legs:
- Each chicken has 2 legs, so the number of chicken legs = 2C
- Each pig has 4 legs, so the number of pig legs = 4P
- Total number of legs = 2C + 4P = 540
From the above two equations, we can write a system of equations:
Equation 1: C + P = 200
Equation 2: 2C + 4P = 540
We can solve this system of equations to find the values of C and P.
Multiplying Equation 1 by 2, we get:
2C + 2P = 400
Subtracting Equation 2 from the above equation, we get:
2C + 2P - (2C + 4P) = 400 - 540
-2P = -140
P = 70
Substituting the value of P in Equation 1, we get:
C + 70 = 200
C = 200 - 70
C = 130
Therefore, there are 130 chickens in the farm.
To find the number of additional chickens, we can subtract the number of pigs from the total number of animals (heads):
Additional chickens = Total animals (heads) - Number of pigs
Additional chickens = 200 - 70
Additional chickens = 130
So, there are 130 more chickens in the farm compared to pigs.
Hence, the correct answer is option 'C' (60).
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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 totaled up to 200. However, when the number of legs was counted, the number totaled up to 540. How many more chickens were there in the farm? Note: In the farm, each pig had 4 legs and each chicken had 2 legs.a)70b)120c)60d)130e)80Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about 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 totaled up to 200. However, when the number of legs was counted, the number totaled up to 540. How many more chickens were there in the farm? Note: In the farm, each pig had 4 legs and each chicken had 2 legs.a)70b)120c)60d)130e)80Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 totaled up to 200. However, when the number of legs was counted, the number totaled up to 540. How many more chickens were there in the farm? Note: In the farm, each pig had 4 legs and each chicken had 2 legs.a)70b)120c)60d)130e)80Correct answer is option 'C'. Can you explain this answer?.
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 totaled up to 200. However, when the number of legs was counted, the number totaled up to 540. How many more chickens were there in the farm? Note: In the farm, each pig had 4 legs and each chicken had 2 legs.a)70b)120c)60d)130e)80Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about 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 totaled up to 200. However, when the number of legs was counted, the number totaled up to 540. How many more chickens were there in the farm? Note: In the farm, each pig had 4 legs and each chicken had 2 legs.a)70b)120c)60d)130e)80Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 totaled up to 200. However, when the number of legs was counted, the number totaled up to 540. How many more chickens were there in the farm? Note: In the farm, each pig had 4 legs and each chicken had 2 legs.a)70b)120c)60d)130e)80Correct answer is option 'C'. Can you explain this answer?.
Solutions for 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 totaled up to 200. However, when the number of legs was counted, the number totaled up to 540. How many more chickens were there in the farm? Note: In the farm, each pig had 4 legs and each chicken had 2 legs.a)70b)120c)60d)130e)80Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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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 totaled up to 200. However, when the number of legs was counted, the number totaled up to 540. How many more chickens were there in the farm? Note: In the farm, each pig had 4 legs and each chicken had 2 legs.a)70b)120c)60d)130e)80Correct answer is option 'C'. Can you explain this answer?, a detailed solution for 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 totaled up to 200. However, when the number of legs was counted, the number totaled up to 540. How many more chickens were there in the farm? Note: In the farm, each pig had 4 legs and each chicken had 2 legs.a)70b)120c)60d)130e)80Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of 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 totaled up to 200. However, when the number of legs was counted, the number totaled up to 540. How many more chickens were there in the farm? Note: In the farm, each pig had 4 legs and each chicken had 2 legs.a)70b)120c)60d)130e)80Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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