Operator remapping puzzle — If '+' means '−', '−' means '×', '×' means '÷', and '÷' means '+', evaluate: 16 × 2 ÷ 25 + 7 − 4

Introduction / Context:
In 'coded-operator' problems, each printed symbol stands for a different real operation. The task is to translate the expression into the true operations first, and only then evaluate it with standard precedence. Doing arithmetic directly on the fake symbols leads to wrong results.

Given Data / Assumptions:

• Mappings: '+' → '−'; '−' → '×'; '×' → '÷'; '÷' → '+'.
• Printed expression: 16 × 2 ÷ 25 + 7 − 4.
• Standard precedence after translation.

Concept / Approach:
Replace each symbol token-by-token using the mapping to obtain the real expression. Then compute ×/÷ first, followed by +/−. Keep numbers in the same order; only the operators change.

Step-by-Step Solution:
Translate: '×' → '÷', '÷' → '+', '+' → '−', '−' → '×'.Thus: 16 ÷ 2 + 25 − 7 × 4.Compute precedence: 16 ÷ 2 = 8; 7 × 4 = 28.Combine: 8 + 25 − 28 = 33 − 28 = 5.

Verification / Alternative check:
Re-check each mapped operator carefully; a single mis-map (e.g., treating '−' as '+' by mistake) changes the outcome drastically.

Why Other Options Are Wrong:
104, 22, and 4 stem from computing on the printed symbols or misapplying precedence. The correct, fully translated and evaluated result is 5.

Common Pitfalls:
Applying the mapping to numbers (never do this), or changing evaluation order to left-to-right instead of using precedence.

Final Answer:
5