Question

A mixture of 70 liters of wine and water contain 10% water. How much more water should be added to the mixture to make 37% water in the resulting mixture?
1. 27 litres
2. 18.9 litres
3. 30 litres
4. 63 liters

Answer 1

Correct Answer - Option 3 : 30 litres

Given:

Mixture of wine and water = 70 liters

Initial water concentration = 10%

Calculations:

Amount of water in 70 litre of mixture = 10% of 70 = 7 litres

Let x litres of water is added to the mixture

According to question,

⇒ 7 + x = 37/100 × (70 + x)

⇒ 100(7 + x) = 37 (70 + x)

⇒ 700 + 100x = 2590 + 37x

⇒ 63x = 1890 

⇒ x = 189/63 = 30

∴ x = 30 litres