There are unspecified number of cows and hens in a den. If there are a total of 30 heads and 80 legs in the den, find the number of cows and hens in the den.

      

There are unspecified number of cows and hens in a den. If there are a total of 30 heads and 80 legs in the den, find the number of cows and hens in the den.

  

Answers


John
Let the number of cows be x and hens be y.

A cow and a hen has 1 head each. Each cow has 4 legs

and each hen has 2 legs

x + y = 30 .............(i)

total number of heads

4x + 2y = 80 ................ (ii)

total number of legs

Multiply eqn. (i) by 2

2x + 2y = 60

4x + 2y = 80 - substruct

-2x = -20;

x = 10

Using x + y = 30

10 + y = 30;

y = 20

Cows are 10, hens are 20
johnmulu answered the question on June 8, 2017 at 11:56


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