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A farmer was on his tractor and drove by some chickens and pigs in his field he counted 30 heads and 84 legs

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A farmer was on his tractor and drove by some chickens and pigs in his field he counted-example-1
User Arielcr
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1 Answer

5 votes

Answer:

There are 18 pigs and 12 chickens.

Explanation:

p = # of pigs

c = # of chickens

I'm assuming each animal has one head and all the pigs have 4 legs and all the chickens have 2 legs, therefore:

p+c = 30

4p+2c = 84

Elimination:

-2(p+c = 30) -2p -2c = -60

4p +2c = 84 4p +2c = 84

2p = 24

p = 12

Now substitute p for 12:

12 + c = 30

c = 18

Check:

4(12) + 2(18) = 84

48 + 36 = 84

84 = 84

There are 18 chickens and 12 pigs.

User Oviroa
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