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

Question

Solve this multiple-choice question and choose the correct option.

Accepted Answer

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

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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