Three different milk-water mixtures are available with milk to water ratios of 1:2, 2:3, and 3:4 (milk:water). Equal quantities of each mixture are taken and mixed together. What is the final ratio of water to milk in the resulting mixture?

Introduction / Context:This question checks mixture combination using fraction conversion. When equal quantities of different mixtures are mixed, you cannot add ratios directly. Instead, convert each ratio into milk and water fractions, assume an equal volume from each mixture (like 1 litre each), compute total milk and total water, and then form the final ratio.

Given Data / Assumptions:

• Mixture 1 milk:water = 1:2
• Mixture 2 milk:water = 2:3
• Mixture 3 milk:water = 3:4
• Equal quantities are taken from each mixture
• We are asked final ratio water:milk

Concept / Approach:Convert each ratio to fractions: milk fraction = milk parts / total parts, water fraction = water parts / total parts. Add fractions across equal volumes, then convert to an integer ratio.

Step-by-Step Solution:

Verification / Alternative check:Water should be more than milk because each mixture has more water than milk. Final ratio 193:122 confirms water > milk and is consistent.

Why Other Options Are Wrong:

Common Pitfalls:Do not average ratios directly. Also avoid mixing up the required order (water:milk vs milk:water). Another mistake is forgetting that “equal quantities” means equal total volume taken from each mixture.

Final Answer:193:122