Another simple 8th standard mathematics question
In a stable there are men and horses.
In all, there are 22 heads and 72 feet.
how many men and horses are in stable.
Men : 1 head and 2 feet.
Horse = 1 head and 4 feet.
so head count would be
Number of Men + Number of Horses = 22
=> Number of men = 22 – Number of horses (i)
feet count would be
2 * (Number of men) + 4 * (Number of horses) = 72
(divide the whole equation by 2)
=> Number of Men + 2 * (Number of horses) = 36
(replace Number of Men from above equation (i))
=> 22 – Number of horses + 2 * (Number of horses) = 36
=> Number of Horses = 14
and Number of Men = 8