Question

A farmer has some sheep. The total weight of these sheep is 114 kg.

Answer 1

Answer:

8 sheep total after buying 3 sheep

Step-by-step explanation:

At the beginning,  the farmer had 114 kg of sheep,  bu do not know how many.

let  x = unknown number of sheep at the beginning.

mean weight =   (total weight)/(x + 3)  =  24 kg.

mean weight  of 3  = 26 kg.

Total weight of the 3 sheep together =  3*26 = 78 kg.

mean weight =  ( 114 kg + 78kg) / (x + 3)  = 24  kg.

we can solve for x now.

192 / (x + 3 ) = 24

192/24 = x + 3

x + 3 = 8  sheep total after buying

Answer 2

Answer:

  8

Step-by-step explanation:

The relationship between the total weight, the mean weight, and the number of sheep is ...

  mean weight = (total weight)/(number of sheep)

This formula can be rearranged to help us find what we need. For example, ...

  number of sheep = (total weight)/(mean weight)

and

  total weight = (mean weight)(number of sheep)

__

Using this latter formula, we can find the total weight of the new sheep. It is ...

  weight of 3 new sheep = (26 kg)(3) = 78 kg

Then the total weight of all sheep is ...

  weight of all sheep = (weight of some sheep) + (weight of 3 new sheep)

  = (114 kg) + (78 kg) = 192 kg

Now, we can use the formula for the number of sheep:

  number of sheep = (192 kg)/(24 kg) = 8

After buying 3 more sheep, the farmer had 8 sheep.