Question

A drum is 3/4 full . 30 l is taken out. Now it is 7/12 full . Find capacity of drum.

Answer 1

$\huge\mathfrak{Answer:}$

Given:

• A drum is 3/4 full.
• 30 litres of the material is taken out.
• After taking out 30 litres, it is 7/12 full.

To Find:

• We need to find the capacity of the drum.

Solution:

Let the capacity of drum be x.

According to the question, we have

$\sf{ \dfrac{3}{4}x - 30 = \dfrac{7}{12}x}$

$\sf{ \dfrac{3}{4} x - \dfrac{7}{12} x = 30}$

Taking LCM as 12, we have

$\sf{ (\dfrac{3}{4}x \times \dfrac{3}{3}) - \dfrac{7}{12}x = 30}$

$\implies\sf{ \dfrac{9}{12}x - \dfrac{7}{12} x = 30}$

$\implies\sf{ \dfrac{9x - 7x}{12} = 30}$

$\implies\sf{ \dfrac{2x}{12} = 30}$

$\implies\sf{ 2x = 30 \times 12}$

$\implies\sf{ 2x = 360}$

$\implies\sf{ x = \dfrac{360}{2} }$

$\implies\sf{ x = 180}$

Hence, the capacity of the drum is 180 litres.

Answer 2

$\large\bf{\underline{Question:-}}$

A drum is 3/4 full, 30 litres is taken out. Now it is 7/12 Full Find the capacity.

$\large\bf{\underline{Given:-}}$

• A drum is 3/4 full.
• 30 litre is taken out.
• The remaining material in drum is 7/12.

$\large\bf{\underline{To\:find:-}}$

• Capacity of drum=?

$\large\bf{\underline{Solution:-}}$

$\tt→ Let \:the\: capacity\: be = <strong>X</strong><strong>\</strong><strong>:</strong><strong> </strong><strong>litre</strong><strong> </strong><strong> </strong>$

$\large\bf{\underline{According\:to\:Question:-}}$

$\tt→ \frac{3x}{4}-30=\frac{7x}{12}\\\tt→ \frac{3x}{4}-\frac{7x}{12}= 30\\\tt→ (\frac{9x-7x}{12})=30\\\tt→ \frac{2x}{12}=30\\\tt→ \frac{x}{6}=30\\\tt→ x=6×30\\\tt→ x= 180$

Hence,

The capacity of the drum is 180 litre.