Approximate evaluation: 161% of 3578 + 139.85 + (5/8) of 161.56 ≈ ?

Introduction / Context:
This problem mixes a percentage, a constant addend, and a fractional part of a decimal. We aim for a near-integer approximation matching the available options.

Given Data / Assumptions:

• Compute: 161% of 3578 + 139.85 + (5/8) of 161.56.
• 161% = 1.61 as a multiplier.
• (5/8) = 0.625 as a multiplier.

Concept / Approach:
Convert percentage and fraction to multipliers, compute each term, sum them, then round to the closest listed option. This is typical for approximation MCQs.

Step-by-Step Solution:

Verification / Alternative check:
Even if 3578 is rounded gently (e.g., to 3580), 1.61 * 3580 = 5763.8, shifting the sum by only about 13, keeping the total near 6000, which supports choosing 6000.

Why Other Options Are Wrong:

• 6500 or 6700: Too high relative to the carefully computed total near 6000.
• 5500: Too low; the first term alone already exceeds 5700.

Common Pitfalls:
Forgetting that 161% means 1.61 times (not 0.161), or mishandling the fraction 5/8. Keep track of place values when adding decimals to avoid drift.

Final Answer: