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

$\frac{1}{2}$ of the horses are brown

Number of brown horses are:

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

$\frac{1}{2}$ of 120

$\text{ brown horses } = \frac{1}{2} \text{ of } 120\\\\\text{ brown horses } = \frac{1}{2} \times 120\\\\\text{ brown horses } = 60$

$\frac{1}{3}$ of the horses are black

Number of black horses are:

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

$\frac{1}{3}$ of 120

$\text{ Black horses } = \frac{1}{3} \text{ of } 120\\\\\text{ Black horses } = \frac{1}{3} \times 120\\\\\text{ Black horses } = 40$

$\frac{1}{6}$ of the horses are spotted

Number of spotted horses:

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

$\frac{1}{6}$ of 120

$\text{ Spotted horses } = \frac{1}{6} \times 120 = 20$

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