Question 1165884: A farmer has 3 types of animals in his barn: chickens, cows and pigs. The farmer has 80 total animals. Assuming that each chicken has 2 legs and each cow or pig has 4 legs, there are 240 legs in total. If there are as many chickens as there are cows and pigs combined, how many of each type of animal are there?
Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52767)   (Show Source):
You can put this solution on YOUR website! .
A farmer has 3 types of animals in his barn: chickens, cows and pigs. The farmer has 80 total animals.
Assuming that each chicken has 2 legs and each cow or pig has 4 legs, there are 240 legs in total.
If there are as many chickens as there are cows and pigs combined, how many of each type of animal are there?
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Let's turn on common sense, mine and yours.
Since the total animals is 80 and since there are as many chicken as cows and pigs together,
it means that the number od chicken is 40 and the number of cows and pigs altogether is 40.
Next, let us check the total number of legs.
It is 2*40 = 80 for chicken and 40*4 = 160 for cows and pigs altogether.
In all, there are 80 + 160 = 240 legs.
We just used all the given information, and we see that we can determine the number of chicken,
from one side, and the total number of cows and pigs, from the other side;
but we HAVE NO additional information to determine the number of cows and pigs separately.
The problem is posed INCORRECTLY and does not provide enough info to answer the posed question.
It happens often, when unqualified person try to create a new Math problem in the area,
where he (or she) does not know the subject.
Answer by Edwin McCravy(20054)  (Show Source):
You can put this solution on YOUR website!
A farmer has 3 types of animals in his barn: chickens, cows and pigs. The
farmer has 80 total animals. Assuming that each chicken has 2 legs and each
cow or pig has 4 legs, there are 240 legs in total. If there are as many
chickens as there are cows and pigs combined, how many of each type of
animal are there?
40 of them are chickens and the other 40 are cows and pigs. That's all we
can get from the information given here. 40 chickens have 80 legs and 40
cows and pigs together have 160 legs and 80+160=240 legs. There is no way
to tell how many of the 40 are cows and how many are pigs. This is really a
bad problem.
Edwin
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