Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 3636 ducks for $532. How much does a chicken cost, and how much does a duck cost?

Respuesta :

Answer:

chickens cost $8

ducks cost $5

Step-by-step explanation:

c= chicken cost

d =duck cost

50c + 30 d = 550

44c + 36d = 532


divide the first equation by 10

5c + 3d = 55

multiply it by -12

-60c -36c = -660

now add the modified first equation to the second equation

-60c -36c = -660

44c + 36d = 532

-------------------------

-16c    = -128

divide by -16

c = 8

a chicken costs $8

now lets find d

5c+3d = 55

5*8 + 3d = 55

40 + 3d = 55

subtract 40 from each side

3d = 15

divide by 3

d = 5