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If you have cows and chickens the total of heads is 200 and total of legs is 540 how many chickens do you have?
Wiki User
∙ 13y ago
set up a relation
x + y = 200 ( for the heads, each animal has only one head, right? )
2x + 4y = 540 ( for the legs, each chicken has 2 legs, cows have 4 )
now, you need to eliminate a fraction.
multiply the top by 2 and subtract it from the bottom
2x - 2x + 4y - 2y = 540 - 400
which equals
2y = 140
therefore we can say that y = 70, and that there was 70 cows.
Substitute back into either equation 70 for y, and for simplicity, we will use the top one.
x + 70 = 200
x = 200 - 70
x * 130
130 chickens.
We can check our work by multiplying x by 2 and y by 4 to see if it adds to 540.
130*2 + 70*4
260 + 280
540
Wiki User
∙ 13y ago
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