A library has an average of 510 visitors on Sunday and 240 on other days. What is average number of visitors per day in a month of 30 days beginning with a Sunday?

Options

A. 290
B. 304
C. 285
D. 270

Answer

To find the average number of visitors per day in a library for a month of 30 days starting with a Sunday, we can follow these steps:

### Step 1: Determine the number of Sundays in the month
Since the month starts with a Sunday and has 30 days, there will be:
- 5 Sundays (1st, 8th, 15th, 22nd, and 29th).

### Step 2: Calculate the number of other days
The total number of days in the month is 30. Since there are 5 Sundays, the number of other days (Monday to Saturday) will be:
- 30 days - 5 Sundays = 25 other days.

### Step 3: Calculate the total number of visitors on Sundays
The average number of visitors on Sundays is 510. Therefore, the total number of visitors on Sundays will be:
- Total visitors on Sundays = Number of Sundays × Average visitors on Sundays
- Total visitors on Sundays = 5 × 510 = 2550.

### Step 4: Calculate the total number of visitors on other days
The average number of visitors on other days is 240. Therefore, the total number of visitors on other days will be:
- Total visitors on other days = Number of other days × Average visitors on other days
- Total visitors on other days = 25 × 240 = 6000.

### Step 5: Calculate the total number of visitors in the month
Now, we can find the total number of visitors in the month by adding the total visitors on Sundays and the total visitors on other days:
- Total visitors in the month = Total visitors on Sundays + Total visitors on other days
- Total visitors in the month = 2550 + 6000 = 8550.

### Step 6: Calculate the average number of visitors per day
To find the average number of visitors per day, we divide the total number of visitors by the total number of days in the month:
- Average visitors per day = Total visitors in the month / Total number of days
- Average visitors per day = 8550 / 30 = 285.

### Final Answer
The average number of visitors per day in the library for the month is **285**.

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