Question

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 were there on the farm?

Answer 1

`126` chickens were in the farm.

Explanation:

Let there be `6x` chikens and `5x` ducks (Ratio: `6:5`).

When 63 ducks are sold, by given condition, `(6x)/(5x-63)=3/1 or 6x=15x-189 or 9x=189 or x=21 ; 6x=6*21=126`

Therefore, `126` chickens were there in the farm.[Ans]