Question

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

Answer 1

Answer:

There are 18 pigs and 12 chickens.

Step-by-step 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.