Percentage equation with an unknown in the denominator: Solve 30% of (80 / ?) = 24 and find the value of the missing number.

Introduction / Context:
This item tests translating a short verbal/compact expression into an equation and solving for an unknown that appears in the denominator. It is a direct percentage application with basic algebraic isolation.

Given Data / Assumptions:

• Equation: 30% of (80 / ?) = 24.
• 30% means 0.30.
• The unknown is positive and nonzero.

Concept / Approach:
Replace “30% of” by multiplication with 0.30. Then isolate the unknown by standard algebra. Because 80 and 30% are compatible numbers, the arithmetic is clean.

Step-by-Step Solution:

Verification / Alternative check:
Plugging back: 30% of (80 / 1) = 30% of 80 = 24, which matches the right-hand side exactly.

Why Other Options Are Wrong:

• 3/10, 3/17, 2, 5/8: Substituting these values does not produce 24 on the right once evaluated.

Common Pitfalls:
Forgetting that “of” means multiply; or attempting to divide 30% by the unknown rather than multiplying 30% with (80 / ?).

Final Answer:
1