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
  • A
    - and +
  • B
    x and ÷
  • C
    + and ÷
  • 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 ÷.

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