SOLUTION: Hi A farmer has chickens and ducks in his farm. If he sells 2 chickens and 3 ducks a day,there would be 100 chickens left when all the ducks are sold. If he sells 3 chickens and 2

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Question 1192787: Hi
A farmer has chickens and ducks in his farm. If he sells 2 chickens and 3 ducks a day,there would be 100 chickens left when all the ducks are sold. If he sells 3 chickens and 2 ducks a day, there would be 25 chickens left after all the ducks are sold.
Find the number of ducks and chickens on the farm. Thanks

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Number of days to sell D ducks is (D/3). During that time, 2D/3 chickens will be sold.
so C-(2D/3)=100, and for the other D/2 days to sell them
so C-(3D/2)=25
subtract and (5D/6)=75 and D=90, C=160
160 chickens and 90 ducks
in 30 days at 3 a day, the ducks are gone and there are 60 fewer chickens, 100.
in 45 days at 2 a day, the ducks are gone and 135 fewer chickens, leaving 25.