Question

a mixture contain alcohol and water in ratio 4:3.if 5 litre of water is added to mixture ratio become 4:5.find quantity of alcohol in mixture.

Answer 1

Answer:

The quantity of alcohol in the mixture is 15\frac{3}{11} liters

Step-by-step explanation:

Since, the mixture contains alcohol and water in the ratio of 12 : 5,

Let the alcohol in the mixture = 12x and the water in mixture = 5x,

Where, x is any number,

According to the question,

On adding 14 liters of water, the ratio of alcohol to water becomes 3 : 4.

\implies \frac{12x}{5x+14}=\frac{3}{4}

\implies 48x = 15x + 42

\implies 33x = 42

\implies x = \frac{42}{33}=\frac{14}{11}

Thus, the quantity of alcohol in the mixture = 12x

=12\times \frac{14}{11}=\frac{168}{11}=15\frac{3}{11}\text{ liters}