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

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) (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.

RELATED QUESTIONS
Hi A farmer has chickens and ducks o his farm. If he sells 2 chickens and 3 ducks a day (answered by ikleyn)

Hi There were 220 chickens, ducks and goats on a farm. The ratio of chickens to ducks... (answered by CPhill,ikleyn)

A farmer has 2x chickens as ducks. After selling 166 chickens and 29 ducks he is left... (answered by richwmiller)

there are five times as many chickens as ducks. if there are 640 chickens more than ducks (answered by ewatrrr,JulietG)

a mathematician turned farmer has cows and chickens. he tells you that among the cows and (answered by josgarithmetic,ikleyn)

A girl has a number of ducks costing $10 each and three times as many chickens costing $6 (answered by haileytucki)

A man has a number of ducks costing $10 each and three times as many chickens costing $6 (answered by solver91311)

A farmer counts this flock of chickens. He has five red chickens,17 white chickens, three (answered by rfer)

A farmer has both pigs and chickens on his farm. There are 78 feet and 27 heads. How many (answered by josmiceli,bucky)