Approximate sum: 85% of 225 + 32.91 × 5.01 ≈ ?

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:

  • 85% of 225.
  • 32.91 × 5.01.


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:

  • 340 or 345: Both too low compared to ~356.
  • 375: Too high for the computed sum.


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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