Question

Yo!
Here's another question :-

•One day, a person went to a horse racing area. Instead of counting the number of humans and horses, he counted 74 heads and 196 legs. How many humans and horses were there?

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Answer 1

Answer

There were 50 humans and 24 horses.

$\rule{50}2$

Explanation

Let the number of humans be x and the number of horses be y.

It's clear that a human has one head and 2 legs and a horse has one head and 4 legs.

So, the total number of heads would be :

Number of heads of humans + Number of heads of horses = 74

→ x + y = 74.......(1)

And, the total number of legs would be

2x + 4y = 196

→ 2(x + 2y) = 196

→ x + 2y = 98......(2)

Subtracting (1) from (2),

x + 2y - x - y = 98 - 74

→ y = 24.

Putting the value of y in (1),

x + y = 74

→ x = 74 - y

→ x = 74 - 24

→ x = 50.

Hence, the number of humans (x) is 50 and the number of horses (y) is 24.

Answer 2

AnswEr :

• Person Counted 74 heads and 196 legs of total Humans and Horses in a Horse Racing Area.
• How Many Human and Horses were there.?

Let the Number of Horses be x and Humans be y.

• According to Question;

» No. of ( Horses + Humans )'s Heads = 74

» x + y = 74

» x = 74 - y —( ! )

• Again Accⁿ to Question ;

» No. of ( Horses + Human )'s Legs = 196

» Horses' Legs + Human's Legs = 196

» ( x × 4 ) + ( y × 2 ) = 196

• As Humans Have 2 legs and Horses have 4 legs.

» { ( 74 - y ) × 4 } + 2y = 196 [ From ( ! ) ]

» 296 - 4y + 2y = 196

» 296 - 196 - 2y = 0

» 100 = 2y

• Dividing Both term by 2

» y = 50

• Using Value of y in ( ! )

» x = 74 - y

» x = 74 - 50

» x = 24

჻ There were 24 Horses and 50 Humans.