Approximation and quick calculation: Solve for the missing value (?) in 2508 ÷ 15.02 + ? × 11 = 200.

Introduction / Context:
This linear equation features a near-integer division combined with an unknown multiplied by 11. Compute the division accurately enough, transfer it across the equation, and isolate the unknown. The choices are integers, so pick the nearest integer solution.

Given Data / Assumptions:

• Equation: 2508 / 15.02 + 11*? = 200
• Compute the division to a couple of decimals to get a precise integer ?.

Concept / Approach:
Let D = 2508 / 15.02. Then 11*? = 200 − D, and ? = (200 − D) / 11. Because D is about 167, the result is near 3, and integer options make selection straightforward.

Step-by-Step Solution:

Verification / Alternative check:
Compute more precisely: 2508/15.02 ≈ 166.98; then (200 − 166.98)/11 ≈ 3.002; still rounds to 3 and matches the given options.

Why Other Options Are Wrong:
4 or 8 or 13 overshoot the target sum when back-substituted; they make the left-hand side exceed 200 by large margins.

Common Pitfalls:
Using 15 instead of 15.02 or dividing by 11 before subtracting the division term, which mixes the operations incorrectly.

Final Answer:
3