Fifteen movie theatres average 600 customers per theatre per day. If six of the theatres close down but the total theatre attendance stays the same, then the average daily attendance per theatre among the remaining theatres is:

Options

A. 900
B. 1000
C. 1100
D. 1200

Answer

To solve the problem step by step, we can follow these calculations:

### Step 1: Calculate the total attendance of all theatres.
Given that there are 15 movie theatres, and each theatre has an average of 600 customers per day, we can find the total attendance by multiplying the number of theatres by the average customers per theatre.

\[ \text{Total attendance} = \text{Number of theatres} \times \text{Average customers per theatre} \]
\[ \text{Total attendance} = 15 \times 600 = 9000 \]

### Step 2: Determine the number of theatres remaining after some close down.
If 6 theatres close down, we need to find out how many theatres are left.

\[ \text{Remaining theatres} = \text{Total theatres} - \text{Closed theatres} \]
\[ \text{Remaining theatres} = 15 - 6 = 9 \]

### Step 3: Calculate the average daily attendance per remaining theatre.
Since the total attendance remains the same (9000 customers), we can find the average daily attendance per remaining theatre by dividing the total attendance by the number of remaining theatres.

\[ \text{Average attendance per remaining theatre} = \frac{\text{Total attendance}}{\text{Remaining theatres}} \]
\[ \text{Average attendance per remaining theatre} = \frac{9000}{9} = 1000 \]

### Final Answer:
The average daily attendance per theatre among the remaining theatres is **1000 customers**.

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