Interchange one pair of signs to make the equation true: 5 × 15 ÷ 7 − 20 + 4 = 77
Verbal Reasoning
Mathematical Operations
Difficulty: Medium
Choose an option
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A- and +
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Bx and ÷
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C+ and ÷
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D+ and x
Answer
Correct Answer: + and ÷
Explanation
Introduction / Context:We must swap one pair of operators globally so that the evaluated left side equals 77.
Given Data / Assumptions:
- Expression: 5 × 15 ÷ 7 − 20 + 4.
- Target value: 77.
Concept / Approach:Check each candidate swap; recompute with standard precedence.
Step-by-Step Solution:Swap “+” and “÷” (Option C): the expression becomes 5 × 15 + 7 − 20 ÷ 4.Compute: 5 × 15 = 75; then +7 → 82; 20 ÷ 4 = 5; finally 82 − 5 = 77 ✔.
Verification / Alternative check:Other swaps (e.g., ×↔÷ or −↔+) do not reach 77.
Why Other Options Are Wrong:They give values like ~26.7, −72.9, etc., not 77.
Common Pitfalls:Accidentally swapping only a single occurrence instead of all.
Final Answer:+ and ÷.