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Operator re-mapping – identify which transformed equation is true: If "−" stands for "÷", "+" stands for "×", "÷" stands for "−" and "×" stands for "+", choose the correct statement.

Difficulty: Medium

49 + 7 - 3 x 5 ÷ 8 = 20
49 - 7 + 3 ÷ 5 x 8 = 24
49 x 7 + 3 ÷ 5 - 8 = 16
49 ÷ 7 x 3 + 5 - 8 = 26

Correct Answer: 49 - 7 + 3 ÷ 5 x 8 = 24

Explanation:

Introduction / Context:
We must translate each candidate using the mapping and then evaluate using standard precedence. Only one option will reduce to a numerically correct equality.

Given Data / Assumptions:

Mapping: "−" → "÷", "+" → "×", "÷" → "−", "×" → "+".
Four candidate equalities to test.

Concept / Approach:
Translate first, compute second. We check each option until one holds exactly.

Step-by-Step Solution:

Option B: "49 − 7 + 3 ÷ 5 × 8" translates to "49 ÷ 7 × 3 − 5 + 8".Evaluate left-to-right with precedence: 49 ÷ 7 = 7; 7 × 3 = 21; then 21 − 5 + 8 = 24. This matches the right-hand side 24.Other options, after translation, do not evaluate to the stated constants (they yield non-integers or mismatched totals).

Verification / Alternative check:
Re-run Option B's translation and arithmetic to confirm alignment with the mapping and precedence.

Why Other Options Are Wrong:

A/C/D reduce to incorrect numeric results once correctly translated, typically due to a hidden ×/÷ swap that changes magnitude substantially.

Common Pitfalls:
Ignoring precedence after translation or partially translating symbols and mixing meanings.

Operator re-mapping – identify which transformed equation is true: If "−" stands for "÷", "+" stands for "×", "÷" stands for "−" and "×" stands for "+", choose the correct statement.

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