Question

a drum of kerosene oil is 3 by 4 full. when 15 litres of oil is drawn from it, it is 7 by 12 full. find the total capacity of the drum.

Answer 1

let the total capacity be x
ATQ
(3x/4)-15=(7x/12)
(3x-60)/4=(7x/12)
3x-60(12)=(7x)×4
36x-720=28x
36x-28x=720
8x=720
x=90
total capacity=90 litres

Answer 2

Answer:

The total capacity of the drum filled with kerosene is 90 litres

Step-by-step explanation:

To find: The total capacity of the drum filled with kerosene.

Let the total volume of the vessel be x

The volume of the kerosene in the drum is $\frac{3}{4} x$

If 15 liters of kerosene is taken out then the volume of the kerosene in the drum turns out to be $\frac{7}{12} x$

Hence while writing it as an equation it becomes $\frac{3}{4} x-15=\frac{7}{12} x$

$\begin{array}{l}{\frac{3}{4} x-\frac{7}{12} x=15} \\ {\frac{9 x-7 x}{12}=15 ; x=90}\end{array}$

Answer: The volume of the drum is 90 litres