Question

A drum of kerosene is 4/5 full. When 15 l of oil drawn from of it is 1/2 full. Find the total capacity of the drum.​

Answer 1

Working out:

In the question, certain amount of Kerosene is kept and some of this amount is taken out. Now, the remaining amount of Kerosene inside the drum is given in the question. We have to find the total capacity of the drum.

GiveN:

• The drum is now 4/5 full.
• 15 l of Kerosene is drawn out.
• Now, it is 1/2 full.

To find the total capacity of the drum.....?

Let,

• The total capacity of the drum be x

Then ATQ,

• Initial amount - 15 = Final amount

$\sf{ \longrightarrow{ \dfrac{4}{5} x - 15 = \dfrac{1}{2} x}}$

We have to find x here. So, isolate x in any one side for further calculation.

$\sf{ \longrightarrow{ \dfrac{4}{5}x - \dfrac{1}{2} x = 15}}$

Taking LCM in LHS,

$\sf{ \longrightarrow{ \dfrac{8x - 5x}{10} = 15}}$

$\sf{ \longrightarrow{ \dfrac{3x}{10} = 15}}$

We will multiply 10 and divide 3 from RHS because inverse of division is multiplication and vice-versa....

$\sf{ \longrightarrow{x = \dfrac{15 \times 10}{3} }}$

$\sf{ \longrightarrow{ x= 50}}$

Hence, we got the value of x here....

The total capacity of the drum is:

$\huge{ \boxed{ \sf{ \red{50 \: litres}}}}$

And we are done !!

Answer 2

Answer:

50 L

Step-by-step explanation:

1.5/5 = 15 L

hence 5/5 = 50 L

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