There are a total of 15 rabbits and chicken in the farm. ARabbits have 4 feet while chicken have 2). And there we a total of 50 feet. Haw many chicken and rabhits in the farm?

Question

Mathematics algebra

Answer 1

See Robert K.'s answer also. (elimination method)

Substitution Method:

r = 15 - c

4r + 2c = 50

4(15 - c) + 2c = 50 Use distributive rule to eliminate paren.

60 - 4c + 2c = 50 Combine like terms.

-2c = -10 Divide by -2

c = 5

r = 15 - 5 = 10

Answer 2

Let r = number of rabbits

Let c = number of chickens

r + c = 15

4r + 2c = 50

I will multiply the first equation by -2 and solve by elimination.

-2r - 2c = -30

4r + 2c = 50

2r = 20

r = 10

10 + c = 15

c = 5

Checking 4(10) + 2(5) = 50

There are 10 rabbits and 4 chickens on the farm.