Question

One day, a person went to a horse racing area. instead of counting the numbers of humans and horses, he counted 74 heads, and 196 legs. how many humans and horses were there?
PLs i need help

Answer 1

Answer: there are 50 humans and 24 horses.

Step-by-step explanation:

Let x represent the number of humans in the horse racing area.

Let y represent the number of horses in the horse racing area.

He counted 74 heads. A human has one head and a horse also has one head. It means that

x + y = 74

He counted 196 legs. A human has 2 legs and a horse has 4 legs. It means that

2x + 4y = 196 - - - - - - - -- - -1

Substituting x = 74 - y into equation 1, it becomes

2(74 - y) + 4y = 196

148 - 2y + 4y = 196

- 2y + 4y = 196 - 148

2y = 48

y = 48/2 = 24

x = 74 - y = 74 - 24

x = 50