Bottle 1 contains a mixture of milk and water in 7: 2 ratio and Bottle 2 contains a mixture of milk and water

Question

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?

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Accepted Answer

27:13. The ratio of milk and water in Bottle 1 is 7:2 and the ratio of milk and water in Bottle 2 is 9:4 Therefore, the proportion of milk in Bottle 1 is 7 9 \frac{7}{9} 9 7 ​ and the proportion of milk in Bottle 2 is 9 13 \frac{9}{13} 13 9 ​ Let the ratio in which they should be mixed be equal to X:1. Hen