Question

a man has some buffaloes and ducks. if the number of heads is 70 and the number of legs is 200, then the number of buffalos is​

Answer 1

Answer:

30 buffalos,

make it brainliest

Answer 2

Answer:

If the number of heads is 70 and the number of legs is 200, then the number of buffalos is​ 30.

Explanation:

Given that,
Total number of heads = 70
Total number of legs = 200

Let us assume that the total number of ducks and buffalos is x and y respectively.

A duck has two legs and a buffalo will have 4 legs on the ground.

∵ the total number of heads is 70
∴ According to the question,
x + y = 70............(I)

Again, since a duck has two legs, each head of a duck is equivalent to 2 legs.
Similarly, each head of the buffalo will be equivalent to 4 legs.
∵ The total number of legs is 200,
∴ According to the question,
2x + 4y = 200.........(II)

⇒ 4y = 200 - 2x
⇒ $y = \frac{200 - 2x}{4}$

Substituting the value of y in equation (I), we get;
x + y = 70
⇒ $x + \frac{200 -2x}{4} = 70$
⇒ $\frac{4x + 200 - 2x}{4} = 70$
⇒ $2x+200 = 280$
⇒ $2x = 80$
⇒ x = 40
∴ The number of ducks is 40.

∴ The number of buffalos = 70 - 40 = 30 [From eq. (I), we get]

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