Question

A satin ribbon of length 75 cm is divided into two pieces in the ratio of 2:3. What is the length if each piece?

Answer 1

Question :

A satin ribbon of length 75 cm is divided into two pieces in the ratio of 2:3. What is the length of each piece?

Answer :

$\sf\pink{Given:}$

• length of satin ribbon is 75 cm.

• It is divided in two parts in the ratio 2:3 .

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

• length of each part ?

Explanation :

• let the length of one part be 2x.

• let the length of other part be 3x.

Equation Formed :

$\\ \longrightarrow\sf{ 2x + 3x = 75 }$

$\\ \longrightarrow\sf{ 5x = 75 }$

$\\ \longrightarrow\sf{ x = \dfrac{75}{5} }$

$\\ \longrightarrow\sf{ x = 15}$

• Length of one part is 2x

$\\ \longrightarrow\sf{ 2\times 15}$

$\\ \longrightarrow\sf{ 30}$

Therefore the length of one part is 30 cm.

• length of other part is 3x.

$\\ \longrightarrow\sf{ 3\times 15}$

$\\ \longrightarrow\sf{ 45}$

Therefore the length of other part is 45 cm.