A mixture contains alcohol and water in the ratio

Asked by admin @ in Math viewed by 368 People

. A mixture contains alcohol and water in the ratio 4 : 3. If 7 litres of water is added to

it, the ratio of alcohol and water becomes 3 : 4. Find the quantity of alcohol in themixture.​

Answered by admin @


Answer:

Let the amount of alcohol in the mixture be 4x.

Similarly let the amount of water be 3x.

Once 7 litres is added..

Amount of water becomes (3x+7)

Therefore :

4x : 3x+7 :: 3:4 [since 3:4 is the new ratio]

4x*4= 3(3x+7) [product of means= product of extremes]

16x= 9x+21

16x-9x=21

7x=21

Hence x=3 litres.

The amount of alcohol= 4x

Hence quantity of alcohol= 4*3

=12 litres

Step-by-step explanation:


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