Question

There are 120 horses on a farm. 1/2 of the horses are brown, 1/3 of the horses are black and 1/6 of the horses are spotted. How many horses are there of each color

Answer 1

There are 60 brown horses and 40 black horses and 20 spotted horses

Solution:

Given that there are 120 horses on a farm

`(1)/(2)` of the horses are brown

Number of brown horses are:

Therefore, 1/2 of total number of horses are brown

`(1)/(2)` of 120

`\text{ brown horses } = (1)/(2) \text{ of } 120\\\\\text{ brown horses } = (1)/(2) * 120\\\\\text{ brown horses } = 60`

`(1)/(3)` of the horses are black

Number of black horses are:

Therefore, 1/3 of total number of horses are black

`(1)/(3)` of 120

`\text{ Black horses } = (1)/(3) \text{ of } 120\\\\\text{ Black horses } = (1)/(3) * 120\\\\\text{ Black horses } = 40`

`(1)/(6)` of the horses are spotted

Number of spotted horses:

Therefore, 1/6 of total number of horses are spotted

`(1)/(6)` of 120

`\text{ Spotted horses } = (1)/(6) * 120 = 20`

Thus there are 60 brown horses and 40 black horses and 20 spotted horses