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
OA: C
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How many more chickens were there in the farm?
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The question stem seems to be asking the following:Musicat 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
What was the difference between the number of chickens and the number of pigs?
When the manager of the poultry counted the heads of the stock in the farm, the number totalled up to 200.
C + P = 200.
However, when the number of legs was counted, the number totalled up to 540.
Since each chicken has 2 legs and each pig has 4 legs, we get:
2C + 4P = 540
C + 2P = 270.
Subtracting the red equation from the blue equation, we get:
(C+2P) - (C+P) = 270-200
P = 70.
Since P=70 and C+P=200, C=130.
Thus:
C-P = 130-70 = 60.
The correct answer is C.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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