Mixture Problem

Algebra Level 3

I have a mixture of m m litres of pure milk. I take out 24 litres of milk at one time and add the same amount of water in it. I do this for 5 times and find out the ratio of milk to water is 32 : 211 32:211 . Find the value of m.

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The answer is 72.

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1 solution

Department 8
Jul 11, 2015

Let the mixture be reduced by a factor of x y \frac{x}{y} then after 5 times the ratio of milk to mixture will be:- x 5 y 5 = 32 243 \frac{x^ {5}}{y^{5}} = \frac{32}{243}

The above equation is produced because milk is 32 x 32x and mixture will be 32 x + 211 x 32x+211x

x y = 2 3 \frac{x}{y} = \frac{2}{3}

This means it was reduced by 2 3 \frac{2}{3} and deducted by 1 3 \frac{1}{3} . This means

m 3 = 24 \frac{m}{3} = 24 m = 72 \boxed{m=72}

why do u keep sharing fiitjee s education

Kaustubh Miglani - 5 years, 11 months ago

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