Question

A drum of water is 3/5 full, when 38 litres are drawn
from it, it is just 1/8 full. The total capacity of the
drum in litres is :​

Answer 1

Answer:

THE CAPACITY OF THE DRUM IN LITRES IS 80 .

Step-by-step explanation:

LET THE CAPACITY OF THE DRUM BE x

SO, IN THE BEGGINING , THE DRUM WAS FULL BY 3/5 of x

= 3/5x

THEN, 38 LITRES OF WATER IS DRAWN FROM THIS 3/5x CAPACITY OF DRUM

THEN THE DRUM IS LEFT WITH 1/8 OF THE TOTAL CAPACITY OF DRUM i.e x

ACCORDING TO THE QUESTION ,

3/5x - 38 = 1/8x

3/5x - 1 / 8 x =38 ( LAW OF TRANSPOSITION )

24x - 5x /40 = 38 ( 40 IS THE LCM OF THE 5 AND 8 )

19x /40 = 38

x = 40 * 38 /19

40 * 2

= 80 LITRES

SO, THE TOTAL CAPACITY OF THE DRUM IN LITRES IS 80 LITRES.

THANK YOU . AND PLEASE MARK AS BRAINLIEST.

Answer 2

The total capacity of the drum is 80 liters.

Given:

fraction of drum that is full of water = 3/5th

quantity of water drawn = 38 liters

water left in the drum = 1/8th of the drum's capacity

To Find:

the total capacity of the drum

Solution:

let the capacity of the drum be x

then, the original quantity of water in the drum = 3x/5

thus, we can get the following equation-

3x/5 - 38 = x/8

3x/5 - x/8 = 38

(24x - 5x)/40 = 38

19x/40 = 38

x = 38 × 40/19

x = 80

Thus, the total capacity of the drum is 80 liters.

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