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Farmer James has three types of cows on his farm. A cow with zero legs is called a ground beef, a cow with one leg is called a steak, and a cow with two legs is called a lean beef.Farmer James counts a total of 20 cows and 18 legs on his farm. How many more ground beefs than lean beefs does Farmer
James have ?

User N Alex
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1 Answer

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lets say that the number of ground beef are x
number of steak - y
number of lean beef - z
the total number of cows are x + y + z
the total number of cows are 20
Therefore,
x + y + z = 20 ---1)
the number of legs from ground beef - x * 0 = 0
number of legs from steak - y * 1 = y
number of legs from lean beef - z * 2 = 2z
total number of legs are 18
0 + y + 2z = 18
y + 2z = 18 ----2)
y = 18 - 2z
substituting y in 1st equation
x + (18 - 2z) + z = 20
x + 18 - 2z + z = 20
x - z = 2
We are asked to find how many more ground beef than lean beef, that's x - z
as we calculated x - z = 2.
This means there are 2 more ground beef than lean beef

User Sanchitos
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