Question

5 1/4 litres of water is to be stored in 3/4 litre bottles. How many bottles do we need?

Answer 1

Step-by-step explanation:

Assume 1 litre is a bottle volume (you don’t give this). The total volume of water is:

5 x 3/4 = 15/4 = 3. 75 litres.

Therefore, you will require 4 bottles. It is normal to leave a headspace of 4% of the liquid volume in a bottle. 4% of 3 bottles is 120 ml. That 120 ml can be poured into the 4th bottle to increase the water volume to 0.75 l + 0.120 l = 0.87 litres.

Therefore, 3 of the ‘full’ bottles will each contain 960 ml while the 4th will contain 870 ml, leaving a headspace of 130 ml.

Answer 2

Answer:

We need 7 bottles

Step-by-step explanation:

Given,

$5 \frac{1}{4}$ litres of water is to be stored in $\frac{3}{4}$ litre bottles

Now,

$5 \frac{1}{4 } \: litres = \frac{5 \times 4 + 1}{4} \\ = \frac{21}{4} \: litres$

Now we want to find we need how many bottles?

By Unitary method we can solve this.

But now question is what is Unitary method.

By one example,we can understand this concept.

Let,cost of 5 pen is 100 rupees.

Then by Unitary method,cost of 1 pen is $\frac{100}{5} = 20 \: rupees$

and cost of 20 pen is $(20 \times 20) = 400 \: rupees$

Here,$\frac{3}{4} \: litre$ is capacity of 1 bottle.

By Unitary method, 1 litre is capacity of

$\frac{1}{ \frac{3}{4} } = \frac{4}{3}$ bottle.

and $\frac{21}{4} \: litres$ is capacity of $\frac{4}{3} \times \frac{21}{4} = 7 \: bottles$

Know more about Unitary method,

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