There are sheep and goats in a sheep herd. It is known that the sheep constitute 45% of the herd, and their total weight constitutes 55% of the total weight of the herd. The average weight of a goat is 81 kg. What is the average weight of a sheep?

Guest Mar 13, 2019

#2**0 **

There are sheep and goats in a sheep herd. It is known that the sheep constitute 45% of the herd, and their total weight constitutes 55% of the total weight of the herd. The average weight of a goat is 81 kg. What is the average weight of a sheep?

Let's suppose that we have 100 animals and that 45 are sheep and 55 are goats

Then....the total weight of all the goats = 55 *81 = 4455kg

And the sheep constitute 55/45 of this weight = (55/45) (4455) = (11/9) (4455) = 5445 kg

So...the avg weight of a sheep = 5445 / 45 = 121 kg

CPhill Mar 13, 2019