Difficulty: Easy
Correct Answer: 355
Explanation:
Introduction / Context:We approximate a percentage of a fixed number and add a product of two decimals. The problem belongs to an approximation set, so we round to the nearest offered integer.Given Data / Assumptions:
Concept / Approach:Compute each component with two-decimal accuracy and sum. The closest integer option among the choices is selected.Step-by-Step Solution:
85% of 225 = 0.85 * 225 = 191.25.32.91 × 5.01 ≈ 32.91 * (5 + 0.01) ≈ 164.55 + 0.3291 = 164.8791.Total ≈ 191.25 + 164.8791 ≈ 356.1291.Nearest option: 355.Verification / Alternative check:If we rounded 5.01 to 5.0, we would get 32.91 * 5 = 164.55 and a total ≈ 355.80, still pointing to 355–356. With available choices, 355 is best.Why Other Options Are Wrong:
Common Pitfalls:Multiplying 32.91 by 5.01 incorrectly (e.g., adding 5.01 and 32.91) or mishandling the small 0.01 adjustment. Break the product into two parts for clarity.Final Answer:
355
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