Two vessels contain milk and water in the ratio 1:2 and 2:3. If both vessels are mixed in ratio 1: 1, find the ratio of milk and water in new mixture.
Answer & explanation
Correct answer: option 1
Let two vessels be A and B
The ratio of milk and water in A = 1 ∶ 2 → 3 unit
The ratio of milk and water in B = 2 ∶ 3 → 5 unit
Now, the LCM of 3 and 5 is 15
The new ratio of milk and water in A = (1 ∶ 2) × 5
The new ratio of milk and water in B = (2 ∶ 3) × 3 × 1
The ratio of the milk and water in new mixture = (1 × 5 + 2 × 3) ∶ (2 × 5 + 3 × 3)
⇒ 5 + 6 ∶ 10 + 9
⇒ 11 ∶ 19
∴ The ratio of the milk and water in new mixture is 11 ∶ 19.