SOLUTION: Julie sells 3 ducks and 4 chickens for $70.30. One chicken and one duck together are sold for $20.70. What is the price of a chicken?

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Question 313793: Julie sells 3 ducks and 4 chickens for $70.30. One chicken and one duck together are sold for $20.70. What is the price of a chicken?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Julie sells 3 ducks and 4 chickens for $70.30.
3d + 4c = 70.30
:
One chicken and one duck together are sold for $20.70.
d + c = 20.70
d = (20.70-c)
:
What is the price of a chicken?
:
Replace d with (20.7-c) in the 1st equation
3(20.7-c) + 4c = 70.30
:
62.10 - 3c + 4c = 70.30
c = 70.30 - 62.10
c = $8.20 price of a chicken
:
:
Check, find the price of duck
20.70 - 8.20 = 12.50
3(12.50) + 4(8.20) = 70.30; confirms our solution of c = 8.2