PSAT Math Grid-Ins Question 89: Answer and Explanation
Question: 89
Most cinemas have multiple movie theaters, each running a variety of movies all day. The following table shows the daily costs associated with keeping each theater open.
| Expense per Theater | Amount |
|---|---|
| Electricity | $150/day |
| Trash Disposal and Cleaning | $80/day |
| Operational Staff | $11/hour |
Cinema XV has 15 movie theaters, each of which averages 600 customers per day. If the cinema closes 6 of the theaters during the winter months but total theater attendance stays the same, what is the average daily attendance per theater among the remaining theaters?
Correct Answer: 1000
Explanation:
1000
Difficulty: Hard
Category: Statistics
Getting to the Answer: Originally there were 15 theaters and they averaged 600 customers each per day for a total attendance of 15 × 600 = 9,000 per day. Even after the 6 theaters closed, the total attendance remained the same. Then, however, the number of theaters was 15 - 6 = 9, so recalculate the average as follows:
Grid in 1000.
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