Solve for the unknown factor: 425 ÷ 16.95 × ? = 225. Find the value of ? (choose the closest integer from the list).

Introduction / Context:This is a straightforward equation involving division and multiplication. We must isolate the unknown factor ? by moving known quantities to the other side. Since the numbers are not extreme, the exact computation is simple and produces a value very close to an integer.

Given Data / Assumptions:

• 425 ÷ 16.95 × ? = 225
• All values are positive real numbers.

Concept / Approach:Rearrange to solve for ?: ? = 225 × 16.95 / 425. This uses the rule that if A/B × x = C, then x = C × B / A. After that, pick the closest option (the result is essentially 9).

Step-by-Step Solution:

Verification / Alternative check:Plug back: 425/16.95 ≈ 25.07; 25.07 × 9 ≈ 225.6 (very close to 225). Small rounding arises from decimal truncation; 9 is the best fit among options.

Why Other Options Are Wrong:

• 11, 19: would overshoot the product significantly.
• 0.8, 8: yield totals far below 225.

Common Pitfalls:Inverting the 425 and 16.95 incorrectly, or rounding too early before the final division, which can distort the choice selection.

Final Answer:9