Question

a mixture contain alcohol and water in the ratio 4:3 .if 5litres of water is added to the mixture the ratio become 4.5 the quantity of alcohol In the mixture??​

Answer 1

Answer :-

• If 5 litres of water is added to the mixture the ratio becomes 4:5 the quantity of alcohol In the mixture will become 10 Litres.

Given :-

• Ratio of alcohol and water mixture = 4:3
• If 5 litres of water is added to the mixture.

To find :-

• If 5 litres of water is added to the mixture the ratio becomes 4:5 the quantity of alcohol In the mixture??

Solution :-

Let alcohol be 4x

And, Let water be 3x

So,

➞ $\bf \dfrac{4x}{3x} + 5 = \dfrac{4}{5}$

By cross-multiplication, We get :-

➞ 5x = 3x + 5

➞ 5x - 3x = 5

➞ 2x = 5

➞ x = 2.5

Hence, If 5 litres of water is added to the alcohol mixture. It will be :-

• 4x = 2 × 2.5 = 10 Litres.

Therefore, If 5 litres of water is added to the mixture the ratio becomes 4:5 the quantity of alcohol In the mixture will become 10 Litres.

Answer 2

Given:-

.Ratio of alcohol and water mixture = 4:3

.If 5 litres of water is added to the mixture.

To Find:-

The quantity of alcohol in the mixture = ?

Solution:-

Let alcohol be 4x.

And,Let water be 3x.

So,

$\sf \implies \frac{4x}{3x} + 5 = \frac{4}{5}$

By cross - multiplication,we get :-

$\sf 5x = 3x + 5 \\ \\ \sf 5x - 3x = 5 \\ \\ \sf 2x = 5 \\ \\ \sf x = 2.5$

• The alcohol added in the mixture is = 4x = 4 × 2.5 = 10 litres of alcohol added in the mixture.

Therefore, 10 litres of alcohol added in the mixture.