Answer :

Solution :

Hens = 65, Ducks = 91 and Goats = 169

In Farm Q :

Total number of Hens, Ducks, and Goats = 416

The ratio of Hens : Ducks : Goats = 5 : 14 : 13

Total number of Hens = $\frac{5}{32}\times 416=65$

Total number of Ducks = $\frac{14}{32}\times 416=182$

Total numbers of Goats = $\frac{13}{32}\times 416=169$

From Farm P, all the Hens, Ducks and Goats are sent to Farm Q.

Total Hens in farm Q = 65 + 65 = 130

Total Ducks in farm Q = 91 + 182 = 273

Total Goats in farm Q = 169 + 169 = 338

New Ratio = 130 : 273 : 338 = 10 : 21 : 26