Translate and solve a “percent of” comparison: If 8% of 96 equals ? of 1/25, determine the value of ? (treat “of” as multiplication).

Introduction / Context:The phrase “? of 1/25” is read as multiplication: (?)*(1/25). This question asks you to match the value of 8% of 96 with a product involving the unknown and the fraction 1/25, then solve for the unknown.

Given Data / Assumptions:

• Compute 8% of 96.
• Equate it to (?)*(1/25).
• Find the value of ? accordingly.

Concept / Approach:First evaluate 8% of 96 numerically. Then solve the linear equation (?)*(1/25) = computed value. Multiply both sides by 25 to isolate ?.

Step-by-Step Solution:

Verification / Alternative check:Check: 192 * (1/25) = 192/25 = 7.68, which equals 8% of 96. The solution is consistent.

Why Other Options Are Wrong:

• 19.2, 7.68, 1.92 are intermediate or related numbers, but none equal the actual value of ?.
• Among the listed options, only “None of these” can be correct since 192 is not presented as a selectable answer.

Common Pitfalls:Interpreting “of” incorrectly or assuming the question asks for 8% of 96 directly. Always translate the statement into an equation first.

Final Answer:None of these