Obtaining The Right Amount Of Mixture

Algebra Level 3

There are two vessels containing the mixture of milk and water. In the first vessel the water is 2 3 \dfrac{2}{3} of the milk and in the second vessel water is just 40 % 40 \% of the milk. In what ratio should we mix these liquids to obtain a mixture with a water to milk ratio of 1 : 2 1:2 ?

5 : 7 5:7 7 : 5 7:5 4 : 3 4:3 2 : 5 2:5 3 : 4 3:4 5 : 2 5:2

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2 solutions

Rishik Jain
Apr 8, 2016

In the first vessel, concentration of water is 2 3 5 3 = 2 5 \dfrac{\dfrac{2}{3}}{\dfrac{5}{3}}= \dfrac{2}{5} .

In the second vessel the concentration of water is 2 7 \dfrac{2}{7} .

The resultant mixture should have a water concentration of 1 3 \dfrac{1}{3} .

By allegation method, they will combine in the ratio of 1 21 : 1 15 = 15 : 21 = 5 : 7 \dfrac{1}{21}:\dfrac{1}{15} = 15:21= \boxed{5:7} .

Jonn Jonsen
Apr 21, 2016

A: WW:MMM 5 parts

B: WW:MMMMM 7 parts

A+B = 4W:8M = W:MM = 1:2

So mix A:B = 5:7

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