The number of chickens to the number of ducks on a farm was 6: 5. After 63 ducks were sold, there were 3 times as many chickens as ducks left. How many chickens and ducks were there altogether on the farm in the end?

1 Answer
Binayaka C.
Dec 7, 2016

Total chickens and ducks in the end are #168# in number.

Explanation:

Let #6x and 5x# be the numbers of chickens and ducks were on the farm. After #63# ducks were sold , remaining ducks were #(5x-63)# are in number.
Now by condition , #6x:(5x-63) =3:1 or (6x)/(5x-63)=3/1 or 6x=15x-189 or 9x=189 or x=189/9=21#

Total number of chickens and ducks in the end are #(6x)+(5x-63)=11x-63=11*21-63=231-63=168# in number.[Ans]

Related questions
See all questions in Equations with Ratios and Proportions
Impact of this question
12028 views around the world
You can reuse this answer
Creative Commons License