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Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio. In what ratio of volumes should the liquids in Bottle 1 and Bottle 2 be combined to obtain a mixture of milk and water in 3 : 1 ratio?

Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio. In what ratio of volumes should the liquids in Bottle 1 and Bottle 2 be combined to obtain a mixture of milk and water in 3 : 1 ratio? Correct Answer 27 : 13

Calculation:

The concentration of milk in bottle 1 = 7/9

The concentration of milk in bottle 2 = 9/13

The concentration of milk we require in mixture = 3/4

Applying allegation           

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Ratio = 27/13

⇒ Bottle 1 and Bottle 2 should be combined in the ratio of 27 : 13

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