Question

A mixture of milk and water contains 75% milk. If 8 litres of mixture is taken out and 7 litres of milk is added, then the ratio of milk to water becomes 7:2. Find the quality of mixture initially.

Answer 1

Answer:

7:1 is the right answer of this question

Answer 2

There is 64 liters of mixture initially.

Step-by-step explanation:

Since we have given that

Percentage of milk = 75%

Percentage of water = 25%

So, ratio of milk and water = 3:1

Amount of mixtures are taken out = 8

So, Amount of milk is taken out = $\dfrac{3}{4}\times 8=3\times 2=6$

Amount of water is taken out = $\dfrac{1}{4}\times 8=2$

Amount of milk is added = 7 liters

So, the ratio becomes 7:2.

According to question, it becomes,

$\dfrac{3x-6+7}{x-2}=\dfrac{7}{2}\\\\\dfrac{3x+1}{x-2}=\dfrac{7}{2}\\\\2(3x+1)=7(x-2)\\\\6x+2=7x-14\\\\14+2=7x-6x\\\\16=x$

So, the quantity of mixture initially is $4x=4\times 16=64\ liters$

Hence, there is 64 liters of mixture initially.

# learn more:

In a mixture ratio of spirit and water is 5 ratio 3 when 15 litre mixture is taken out and replaced by 20 litre water quantity of heat and water become equal find the initial quantity of mixture

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