Bus headcount equality after a stop: Find the initial total number of passengers. Initially, women count = half the men count. At city Y, 10 men alight and 5 women board; then men and women become equal. Compute the number of passengers at the beginning. Choose the correct total.
Verbal Reasoning
Arithmetic Reasoning
Difficulty: Easy
Choose an option
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A15
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B30
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C36
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D45
Answer
Correct Answer: 45
Explanation
Variables
- Let initial men = m, women = w with w = m/2.
- After city Y: men = m − 10, women = w + 5 = m/2 + 5; these are equal.
Equationm − 10 = m/2 + 5 ⇒ m/2 = 15 ⇒ m = 30Then w = m/2 = 15.
Initial totalm + w = 30 + 15 = 45.
Final Answer45