Question

A farm raises a total of 220 chickens and pigs. The number of legs of the stock in the farm totals 520. How many chicken and pigs are at the farm?

Answer 1

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Answer 2

x=# of pigs

y=# of chickens

x+y=220

Pigs have 4 legs and chickens have 2 legs.

4x+2y=520

x+y=220

Multiply each term of x+y=220 by -2.

-2x-2y=-440

4x+2y=520

add the two equations

2x=80

x=40 pigs

220-40=180 chickens

Another solution...

x+y=220

4x+2y=520

x=220-y

4(220-y)+2y=520

880-4y+2y=520

880-2y=520

-2y=-880+520

-2y=-360

y=180 chickens

220-180=40 pigs