Question

A drum of water is (3/4) full. when 9 litres are drawn from it, it is just (1/2) full. what is the total capacity of the drum in litres and how much water does it hold

Answer 1

Answer:

36 liters

Step-by-step explanation:

given,

A drum of water is (3/4) full

and  9 liters are drawn from it

now the water in the tank is (1/2) full

let x be the total capacity of the tank

then according to the question

$\frac{3}{4}x-9=\frac{1}{2}x$

$\frac{3}{4}x-\frac{1}{2}x=9 \\\frac{3-2}{4}x =9\\ \\\frac{1}{4}x=9\\ x=36$

so the total capacity of the tank is 36 liters

it can hold 36 liters in the tank

Answer 2

Answer:The total capacity of the drum = 36 Litres

            The amount of water it holds =  3/4 × 36 = 3× 9 = 27 Litres

Step-by-step explanation:

Let the total capacity of the drum = x

According to the question, $\frac{3}{4}$x - 9 = $\frac{1}{2}$x

                                 ⇒ $\frac{3}{4}$x - $\frac{1}{2}$x = 9

                                 ⇒$\frac{3-2}{4}$= 9

                                 ⇒$\frac{1}{4}$x= 9

                                 ⇒x = 9 × 4= 36 Litres

⇒The total capacity of the drum = 36 Litres

∴ The amount of water it holds =  3/4 × 36 = 3× 9 = 27 Litres

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