A jug contains $\frac{3}{8}$ of its capacity filled with water. The jug holds 9 liters of water. What is the total capacity of the jug?

Step-by-step solution

1. Let the total capacity be $x$ liters.
2. Set up the equation: $\frac{3}{8}x=9$.
3. Multiply both sides by $\frac{8}{3}$ to isolate $x$.
4. Compute $x=9\times \frac{8}{3}=24$ liters.
5. Thus the jug can hold 24 liters of water.

Concept tested: Part-to-whole conversion

Published 16 October 2026 · How this solution was prepared and checked