Question

Onece a person had gone for a horse racing area. Instead of counting the number of humans an 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

humans: x

horses: y

Heads: 1x + 1y = 74 ⇒ -2(1x + 1y = 74) ⇒ -2x -2y = -148

Legs: 2x + 4y = 196 ⇒ 1(2x + 4y = 196) ⇒ 2x + 4y = 196

2y = 48

y = 24

Heads: 1x + 1y = 74 ⇒ x + (24) = 74 ⇒ x = 50

Answer: humans = 50, horses = 24