Question

A farmer has sheep and cows in the ratio 8:3.

(2)Find the ratio of the number of sheep to the total number of animals the farmer has.
(3)Find the ratio of the total number of animals with the farmer to the number of
cows with him.​

Answer 1

Answer:

You must need to write that there are how many animals in all so that it can be solved

Answer 2

Given:

A farmer has sheep and cows in the ratio 8:3.

To Find:

(1)Find the ratio of the number of sheep to the total number of animals the farmer has.

(2)Find the ratio of the total number of animals with the farmer to the number of  cows with him.​

Solution:

A fraction is a way of representing a part of something by the whole part of that thing which is expressed as p/q form, and when a fraction of p/q form is represented as p:q then it is said to be ratio.

Here we are given that sheep and cows are in the ratio 8:3 then according to the rules of ratio we can say that number of sheep and cows will be,

Sheep=8x

Cows=3x

Total animals=8x+3x

                     =11x

(1) the ratio of the number of sheep to the total number of animals the farmer has will be,

$ratio=\frac{8x}{11x}\\=8:11$

Hence, the ratio is 8:11.

(2)  the ratio of the total number of animals with the farmer to the number of  cows with him will be,

$ratio=\frac{11x}{3x}\\=11:3$

Hence, the ratio is 11:3.