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The number of Hens, Ducks, and Goats in farm P are 65, 91 and 169, respectively. The total number of Hens, Ducks and Goats in a nearby farm Q is 416. The ratio of hens : ducks : goats in farm Q is 5 : 14 : 13. All the hens, ducks and goats are sent from farm Q to farm P.The new ratio of hens : ducks : goats in farm P is ____________.
Explanation:In Farm P:Hens = 65, Ducks = 91 and Goats = 169In Farm Q:Total number of Hens, Ducks, and Goats = 416The ratio of Hens : Ducks : Goats = 5 : 14 : 13Total number of Hens = \(\frac{5}{32}\times416=65\)Total number of Ducks = \(\frac{14}{32}\times416=182\)Total numbers of Goats = \(\frac{13}{32}\times416=169\)From Farm P, all the Hens, Ducks and Goats are sent to Farm Q. Total Hens in farm Q = 65 + 65 = 130Total Ducks in farm Q = 91 + 182 = 273Total Goats in farm Q = 169 + 169 = 338New Ratio = 130 : 273 : 338 = 10 : 21 : 26
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