Two vessels contain milk and water in the ratios 1 : 2 and 2 : 3. If the contents of the two vessels are mixed in the ratio 1 : 1 by volume, find the ratio of milk to water in the new mixture.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 11 : 19
Equal volumes are taken, so a volume that both ratio totals (3 and 5) divide into makes the counting easy: take 15 litres from each vessel, the LCM of 3 and 5.
First vessel, 15 litres: milk \(\displaystyle =\frac{1}{3}\times15=5\), water \(=10\)
Second vessel, 15 litres: milk \(\displaystyle =\frac{2}{5}\times15=6\), water \(=9\)
Milk \(=5+6=11\), water \(=10+9=19\)
The new mixture has milk and water in the ratio 11 : 19.