Question

in a kraal there are donkeys and ostriches. There are 114 heads and 314 legs how many donkeys are there

Answer 1

Answer:

The total number of donkeys is 43.

Explanation:

Let the number of donkeys be X,

Let the number of ostriches be Y,

The number of head of ostrich and donkey =1

Therefore X+Y=114, since 114 is the total number of heads. let it be equation1

The number of legs of donkeys=4

The number of legs of ostriches=2

4×X + 2×Y = 314 ,

2×X+ Y= 157, let it be equation 2

Solving equation 1 and equation 2

X=157-114

X=43

Therefore the total number of donkeys is 43.

Answer 2

$\huge\bf{Answer:-}$

There are 43 no.of donkeys.

Explaination:-

Here there are 114 heads and it should be 114 - x ostriches ,so ever donkey will have 4 legs and ever ostriches have 2 legs.

Here there is given that 314 total no.of legs.

$= > 4x + 2(114 - x) = 314$

$= > 4x + 228 - 2x = 314$

$= > 2x + 228 = 314$

$= > 2x = 86$

$= > x = 43$

Therefore, 43 is the no.of donkeys.