Question

On a farm there are 100 total legs on people and animals. Each cow and horse has four legs, and each person has two legs. There four more the ten times as many cows and horses than people. How many cows and horses, and how many people are there.



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Answer 1

Answer:

Answer is in the attachment of

Answer 2

There are 24 cows and horses and 2 people in the farm  

Given:

On a farm there are 100 total legs of people and animals

Each cow and horse has four legs, each person has two legs.

There are four more the ten times as many cows and horses than people

To find:

How many cows and horses, and how many people are there.

Solution:

Let x be number of the cows and horses and y be the number of people  

Number of legs of cow and horses = 4x

Number of legs of peoples = 2y

From given data total number of legs = 100

⇒ 100 = 4x+2y

⇒ 50 = 2x + y -----(1)         [ divided by 2 ]

Given that there are four more the ten times as many cows and horses than people

⇒ x = 4 + 10y -----(2)  

Substitute (1) in (2)

⇒ 50 = 2(4+10y) + y

⇒ 50 = 8 + 20y + y

⇒ 42 = 21y

⇒ y = 2

From (2),  x = 4 + 10(2) = 4 + 20 = 24  

Therefore,

There are 24 cows and horses and 2 people in the farm  

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