The number of hens, ducks, and goats on farm P is 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 ________
First, we can calculate the number of hens, ducks, and goats on farm Q.
Number of hens in farm Q=532×416=65
Number of ducks in farm Q=1432×416=182
Number of goats in farm Q=1332×416=169
Initially, the number of hens, ducks, and goats on farm P are 65,91 and 169 respectively.
All the hens, ducks, and goats are sent from farm Q to farm P.
Therefore, in farm P,
Number of hens =65+65=130
Number of ducks =91+182=273
Number of goats
Number of hens =65+65=130
Number of ducks =91+182=273
Number of goats =169+169=338
∴ The required ratio =130:273:338=10:21:26
So, the correct answer is c