Chickens and rabbits

In the yard were chickens and rabbits. Together they had 23 heads and 76 legs. How many chickens and how many rabbits were in the yard?

Correct answer:

a =  8
b =  15

Step-by-step explanation:

a+b=23 2 a+4 b=76  a+b=23 2a+4b=76  Pivot:Row1Row2 2a+4b=76 a+b=23  Row221 Row1Row2 2a+4b=76 b=15  b=115=15 a=2764b=2764 15=8  a=8 b=15

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Showing 6 comments:
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

5 years ago  48 Likes
Math student
40 chickens means 80 legs rest 10 legs .rabbit has 4 legs or 2 legs?10 legs will be shared among rabbit.

4 years ago  6 Likes
Can you give a better explanation? I can't understand it tho.

2 years ago  4 Likes
Q: what about if there was 56 heads and 170 legs?
A:  There are:
a = 27 chicken
b = 29 rabbit

see calculation:*a%2B4*b%3D170&submit=Calculate

1 year ago  2 Likes
Math student
Hi I dont get it that well.

1 year ago  2 Likes
I only got a 5 on my test thanks a lot loseres

1 year ago  3 Likes

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