In a mixture of milk and water, milk constitutes 19% of the total mixture. If the quantity of milk in the mixture is 437 millilitres, what is the total quantity (in millilitres) of the mixture?

Introduction / Context:
This question checks percentage-to-total conversion. If milk is 19% of the mixture, then the milk quantity equals 19/100 of the total mixture quantity. Given the milk amount, you can find the total by dividing by 19% (or multiplying by 100/19). Precision matters here because a small arithmetic slip can move you to a nearby option. The cleanest approach is to set up an equation and solve directly.

Given Data / Assumptions:

• Milk percentage in mixture = 19%
• Milk quantity = 437 millilitres
• Total mixture quantity = T millilitres

Concept / Approach:
Milk = (19/100) * T. So T = Milk * (100/19). This uses the idea that percentage is a fraction of the total. Once T is computed, it represents the total mixture (milk + water) in millilitres.

Step-by-Step Solution:
437 = (19/100) * T T = 437 * (100/19) T = 43700 / 19 19 * 2300 = 43700 So T = 2300 millilitres

Verification / Alternative check:
Check: 19% of 2300 = (19/100)*2300 = 19*23 = 437 ml. This matches the given milk quantity exactly, so the total mixture value is correct.

Why Other Options Are Wrong:
2200 gives milk = 0.19*2200 = 418 ml, not 437 ml. 2400 gives milk = 456 ml, too high. 2350 gives milk = 446.5 ml, not 437 ml. 2100 gives milk = 399 ml, too low.

Common Pitfalls:
Using 81% instead of 19%, dividing 437 by 19 without multiplying by 100, or rounding too early instead of checking exact multiplication.

Final Answer:
The total quantity of the mixture is 2300 millilitres.