There are two mixtures of honey and water: Mixture 1 has honey:water = 1:3. Mixture 2 has honey:water = 3:1. If 2 litres are taken from mixture 1 and 3 litres are taken from mixture 2 and mixed together, what will be the final ratio of honey to water in the new mixture?

Introduction / Context:
This question tests combining two mixtures with different ratios. The correct method is to convert ratios into fractions, compute actual honey and water amounts for the given litres taken from each mixture, then add honey and water separately and form the final ratio.

Given Data / Assumptions:

• Mixture 1 honey:water = 1:3 (total 4 parts)
• Mixture 2 honey:water = 3:1 (total 4 parts)
• Quantity taken: 2 L from mixture 1, 3 L from mixture 2

Concept / Approach:
Honey amount = fraction of honey * litres taken. Water indicates the remaining fraction. Combine and simplify the ratio.

Step-by-Step Solution:

Verification / Alternative check:
Total mixture is 5 L. Honey is 2.75 L, so honey% = 55%. Water is 45%. Ratio 11:9 matches 55:45 after simplifying.

Why Other Options Are Wrong:

Common Pitfalls:
Do not average 1:3 and 3:1 directly. Also do not forget that the quantities taken (2 L and 3 L) are different, so mixture 2 has more influence. Always compute actual ingredient amounts first.

Final Answer:
11:9