Question

In a vessel there is a certain quantity of mixture of milk and water in the ratio 5:1 respectively.24 litres of mixtures is taken out and same quantity of milk is added to vessel. The ratio of milk and water now becomes 13:2 respectively.Again 15 kitres of mixture taken out .What is the quamtity of milk in the resulting mixture

Answer 1

Solution :-

Let in the mixture milk is 5x litre and water is x litre .

24 litre of mixture was taken out .

so, in 24 litre :-

• Milk taken out = 24 * (5/6) = 20 litre .
• water taken out = 4 Litre .

then,

→ Milk left in mixture = (5x - 20) litre

→ water left in mixture = (x - 4) litre

now, 24 litre of milk is added and ratio becomes 13 : 2 .

A/q,

→ (5x - 20 + 24) / (x - 4) = 13/2

→ 10x + 8 = 13x - 52

→ 13x - 10x = 52 + 8

→ 3x = 60

→ x = 20 .

therefore,

→ Milk in the mixture = 5x = 5 * 20 = 100 litre

→ water in the mixture = x = 20 litre .

now, in 15 litre of mixture taken out,

→ Milk taken out = 15 * (5/6) = 12.5 litre .

hence,

→ Milk left in the mixture = 100 - (20 + 12.5) = 100 - 32.5 = 67.5 litre (Ans.)

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