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

Respuesta :

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

Solution:

Given that there are 120 horses on a farm

[tex]\frac{1}{2}[/tex] of the horses are brown

Number of brown horses are:

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

[tex]\frac{1}{2}[/tex] of 120

[tex]\text{ brown horses } = \frac{1}{2} \text{ of } 120\\\\\text{ brown horses } = \frac{1}{2} \times 120\\\\\text{ brown horses } = 60[/tex]

[tex]\frac{1}{3}[/tex] of the horses are black

Number of black horses are:

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

[tex]\frac{1}{3}[/tex] of 120

[tex]\text{ Black horses } = \frac{1}{3} \text{ of } 120\\\\\text{ Black horses } = \frac{1}{3} \times 120\\\\\text{ Black horses } = 40[/tex]

[tex]\frac{1}{6}[/tex] of the horses are spotted

Number of spotted horses:

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

[tex]\frac{1}{6}[/tex] of 120

[tex]\text{ Spotted horses } = \frac{1}{6} \times 120 = 20[/tex]

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

Answer:

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

Step-by-step explanation: