Question

The ratio of milk and water in a mixture is 5 : 1.
How much of the mixture should be replaced with
water, such that the ratio of water to milk becomes
1:3​

Answer 1

Answer:

The ratio of milk and water in a mixture is 5 : 3. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of milk and water in the mixture becomes 1 : 1?

Note :-1.let assumes that mixture is replace 1/10 patr by its water.

2.Let us assume that he vessel contains x litres of mixture

Initial ratio of milk to water is = 5 : 3

Total parts = 5+3 = 8

After replacing New ratio of milk to water in mixture is 1 : 1

Let y litre of mixture is drawn out and y/10 water is added.

In new mixture, amount of milk will be: 5x/8 – 5y/8

In new mixture, amount of water will be:

new ratio = (5x/8 – 5y/8) / (3x/8 – 3y/8 + y/10)= 1

5x/8 – 5y/8 = 3x/8 – 3y/8 + y/10

2x/8 = 2y/8 + y/10

2x = 2y + (8y /10)

2x = 28 y /10

x = 28y/20

y/x = 20/28 = 5/7

So, to make the water and milk ratio as 1:1, we must replace 5/7 part of mixture with 1/10 part of it

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