Match two partial percentages: 12.5% of 192 equals 50% of what number?

Introduction / Context:We are equating two percent-of quantities. Compute one side, then solve the simple percentage equation on the other side to find the unknown number.

Given Data / Assumptions:

• LHS: 12.5% of 192.
• RHS: 50% of ?

Concept / Approach:Use the fact that 12.5% = 1/8 and 50% = 1/2 to speed up arithmetic. Compute 1/8 of 192; then set 1/2 * ? equal to that value and solve.

Step-by-Step Solution:

Verification / Alternative check:Check: Half of 48 is 24 — matches 12.5% of 192.

Why Other Options Are Wrong:

• 96 gives 50% of 96 = 48, not 24.
• 24 confuses the left-hand result with the unknown.
• 36 yields 18 for 50%, not 24.

Common Pitfalls:Misreading 12.5% as 12.5/100 without simplifying to 1/8, which is a convenient equivalence.

Final Answer:48