Question

Two vessels contain mixtures of milk and water in the ratio of 8 : 1 and 1 : 5 respectively. The contents of both of these are mixed in a specific ratio into a third vessel. How much mixture must be drawn from the second vessel to fill the third vessel (capacity 26 gallons) completely in order that the resulting mixture may be half milk and half water ?

• A. 12 gallons
• B. 14 gallons
• C. 10 gallons
• D. 13 gallons

Answer 1

Answer: (B)

14 gallons

Answer 2

The ratio of milk to total volume of the mixture in the 3 vessels is
$\frac{8}{9}$, $\frac{1}{6}$ and $\frac{1}{2}$ .
By this, we get the ratio in which the two mixtures are mixed as 6:7.
Since the total quantity is 26, the quantity from the 2nd vessel will be
($\frac{7}{13}$) × 26 = 14 gallons
The correct option is (B)