Solve for the missing multiplier: 75% of 480 equals (?) × 15. Find (?).

Introduction / Context:We equate a known percent of a number to a simple product and solve for the unknown multiplicative factor. This is an algebraic one-step solve after computing the percent value.

Given Data / Assumptions:

• LHS: 75% of 480.
• RHS: (?) × 15.

Concept / Approach:Compute the left-hand side first. Then divide by 15 to isolate (?). Verify if the result is present among the options.

Step-by-Step Solution:

Verification / Alternative check:Check: 24 × 15 = 360, matching 75% of 480. Therefore, the correct value is 24.

Why Other Options Are Wrong:

• 32 and 18 produce 480 and 270, not 360.
• 360 is the LHS value, not the multiplier (?); it would correspond to 360 × 15, which is incorrect.
• The exact correct value 24 is not listed among the main options, so “None of these” is appropriate.

Common Pitfalls:Stopping after computing 360 and selecting it as the answer. The question asks for the multiplier (?), not the percent result.

Final Answer:None of these