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?

A.
37 humans and 98 horses

B.
24 horses and 50 humans

C.
31 horses and 74 humans

D.
24 humans and 50 horses

Answer 1

Option B. 24 horses and 50 humans

Explanation:

Let

x ----> the number of humans

y ----> the number of horses

Remember that

A human has one head and two legs

A horse has one head and four legs

so

`x+y=74` ----> equation A

`2x+4y=196` -----> equation B

Solve the system by graphing

The solution of the system is the intersection point both graphs

The solution is the point (50,24)

see the attached figure

therefore

The number of humans is 50 and the number of horses is 24