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Answer :
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.
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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
