Question

the ratio of alcohol and water in a mixture of 72 units is 2.1. what is the amount of water that must be added to this misture in order to make this rario 1:2?​

Answer 1

In a mixture of 72 litres of alcohol and water mixed in the ratio 11:1, find the amount of water that should be added such that alcohol and water are in the ratio 9:1.

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Answer 2

Given:

The ratio of alcohol and water = $2:1$

The volume of mixture = $72$ units

To find:

The amount of water to be added to make this ratio $1:2$

Step-by-step Explanation:

Quantity of alcohol = $72\;\times\;\frac23$ litres = $48$ litres

∴ The quantity of water in it ⇒ $72-48\;=\;24\;litres$

New ratio $1:2$

Let quantity of water to be added be $x$ litres.

Then, Alcohol : Water =  $\frac{48}{24\;+\;x}$

⇒ $\frac{48}{24\;+\;x}\;=\;\frac12$

⇒ $96\;=\;24+x$

⇒ $x\;=\;96-24$

⇒ $x\;=\;72\;litres$

Answer:

The amount of water to be added to make this ratio $1:2$ is $72\;litres$