# Chickens and rabbits

In the yard were chickens and rabbits. Together they had 51 heads and 122 legs. How many chickens and how many rabbits was in the yard?

Result

chickens:  41
rabbits:  10

#### Solution:

$a+b = 51 \ \\ 2a+4b=122 \ \\ a=41 \ \\ b=10$

a+b = 51
2*a+4*b=122

a+b = 51
2a+4b = 122

a = 41
b = 10

Calculated by our linear equations calculator.

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Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Math student
We know that chicken has 2 legs and rabbit has 4. Assume that all heads are of chicken = 44*2 = 88. Now the difference between the total no. Of legs = 124-88 = 36. 36/2 =18 legs of Rabbits and 44-18 = 26 for chicken

1 year ago  15 Likes
Math student
Imagine all rabbits and chickens are well trained. We blow the whistle, all chickens and rabbits would retract one of their legs. 124 - 44 = 80. Then we blow the whistle again, they retract another leg. 80-44= 36. these remaining 36 legs belong to the rabbits which are standing with two legs (the other two are retracted). thus 36/2 = 18 rabbits. and the chickens are 44-18 = 26.

2 years ago  5 Likes
Math student
viju has 40 chickens and rabbits.  If in all there are 90 legs.  How many rabbits are there with viju??

3 years ago  11 Likes
Manikanta
35 chicken 5 rabbit

2 years ago  6 Likes
Math student
Imagine all rabbits and chickens are well trained. We blow the whistle, all chickens and rabbits would retract one of their legs. 124 - 44 = 80. Then we blow the whistle again, they retract another leg. 80-44= 36. these remaining 36 legs belong to the rabbits which are standing with two legs (the other two are retracted). thus 36/2 = 18 rabbits. and the chickens are 44-18 = 26.

2 years ago  5 Likes
Math student
We know that chicken has 2 legs and rabbit has 4. Assume that all heads are of chicken = 44*2 = 88. Now the difference between the total no. Of legs = 124-88 = 36. 36/2 =18 legs of Rabbits and 44-18 = 26 for chicken

1 year ago  15 Likes
Math student
35 chiken and 5 rabit

1 year ago  3 Likes
Math student
Nonsense question is something answering something else

Math student
40 chickens means 80 legs rest 10 legs .rabbit has 4 legs or 2 legs?10 legs will be shared among rabbit.

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