Question 37: 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?
27:14
27:13
27:16
27:18
Option: 2 Explanation:
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 $\frac{7}{9}$ and the proportion of milk in Bottle 2 is $\frac{9}{13}$
Let the ratio in which they should be mixed be equal to X:1.
Hence, the total volume of milk is $\frac{7X}{9}+\frac{9}{13}$ The total volume of water is $\frac{2X}{9}+\frac{4}{13}$ They are in the ratio 3:1