Question

A farmer has sheep and cattle in the ratio

8: 3. How many Sheep has the farmer if he

has 180 cattle ?​

Answer 1

Question :

A farmer has sheep and cattle in the ratio 8: 3. How many Sheep has the farmer if he has 180 cattle ?

Answer :

$\sf\pink{Given:}$

• Ratio of sheep and cattle is 8:3

• Number of cattle is 180.

$\sf\pink{To\:find:}$

• Number of sheep ?

Explanation :

• let the number of sheep be "x"

$\\ \longrightarrow\sf{ \dfrac{ 8}{3} = \dfrac{x}{180}}$

After cross multiplication :

$\\ \longrightarrow\sf{8\times 180 = 3\times x}$

$\\ \longrightarrow\sf{\dfrac{8\times 180}{3} = x}$

$\\ \longrightarrow\sf{8\times 60= x}$

$\\ \longrightarrow\sf{480= x}$

Therefore the number of sheep is 480