Question

the number of times a designer bucket of capacity 4 liters to be used for filling up a old tank is less than the number of times another traditional bucket of capacity 3 liters utilized for the same purpose by 4. tell the capacity of the old tank?

Answer 1

let capacity of old bucket be X

no of times bucket(4 litres) takes X/4

"                   "bucket(3 litres) takes X/3

their difference is 4

x/3 -x/4 = 4

x = 48

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Answer 2

Answer:

The capacity of old tank is 48 liters.

Step-by-step explanation:

Let the capacity of the tank be x  liters

No.of times a bucket of capacity 4 liters required to fill tank of x liters =$\frac{x}{4}$

No.of times a bucket of capacity 3 liters required to fill tank of x liters =$\frac{x}{3}$

Now we are given that the number of times a designer bucket of capacity 4 liters to be used for filling up a old tank is less than the number of times another traditional bucket of capacity 3 liters utilized for the same purpose by 4.

So, $\frac{x}{3}-\frac{x}{4}=4$

$\frac{4x-3x}{12}=4$

$\frac{x}{12}=4$

$x=48$

Hence the capacity of old tank is 48 liters.