SOLUTION: 3 chickens and a duck sold for as much as 2 geese;1chicken, 2 ducks, and 3 geese were sold for $25.00. What was the price of each bird in exact number of dollars?

Question 509686: 3 chickens and a duck sold for as much as 2 geese;1chicken, 2 ducks, and 3 geese were sold for $25.00. What was the price of each bird in exact number of dollars?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
(2)
---------------------
(1)
(2)
Add the equations:
(3)
---------------------
There are 3 unknowns and only 2 equations, so it isn't
directly solvable, but trial and error might work
Suppose
g = 6
d = 1
c = 4
Almost
(2)
(3)
Suppose
g = 5
d = 4
c = 2
I think this works!
(1)
(1)
(1)
(1)
OK
(2)
(2)
(2)
(2)
OK
Ducks cost $4 ea
Chickens cost $2 ea
Geese cost $5 ea
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