In January, the 200-room SnowBound Inn ran a skiers special that resulted in them selling 5,735 rooms during the month. What was the occupancy percentage for the month?a. 92.5 percentb. 95.6 percentc. 108 percentd. The answer cannot be determined from the information provided.

Question

BlackTom AI · Accepted Answer

Occupancy percentage = (rooms sold) ÷ (total room-nights available in the month) × 100.

Relevant knowledge points:
- A hotel’s monthly room-nights available = number of rooms × number of days in the month.
- January has 31 days.
- Occupancy percentage = (rooms sold / room-nights available) × 100.

Step-by-step reasoning and calculations:
1. Determine room-nights available: 200 rooms × 31 days = 6,200 room-nights.
2. Use the occupancy formula with rooms sold = 5,735:
   Occupancy = (5,735 ÷ 6,200) × 100.
3. Compute the division:
   5,735 ÷ 6,200 = 0.925.
4. Multiply by 100 to convert to percent:
   0.925 × 100 = 92.5%.

Why the correct answer is correct:
- Using the standard occupancy formula and the correct number of days in January (31) yields exactly 92.5%. The arithmetic is straightforward and exact: 5,735/6,200 = 92.5%.

Why the other options are incorrect:
- 95.6% would result from dividing 5,735 by 6,000 (i.e., assuming a 30-day month: 200 × 30 = 6,000 → 5,735/6,000 ≈ 95.583% ≈ 95.6%). But January has 31 days, so 95.6% is based on the wrong number of days.
- 108% is not possible here because that would require selling more room-nights than were available (5,735 > 6,200 is false); occupancy exceeding 100% would imply overbooking beyond available rooms, which is not the case.
- “Cannot be determined” is incorrect because all needed information (rooms, month, rooms sold) is provided.

Conclusion: The correct occupancy percentage is 92.5%, which matches answer a. 92.5%.

In January, the 200-room SnowBound Inn ran a skiers special that resulted in them selling 5,735 rooms during the month. What was the occupancy percentage for the month?a. 92.5 percentb. 95.6 percentc. 108 percentd. The answer cannot be determined from the information provided.Single choice

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