A library lias an average of 265 visitors on Sundays and 130 visitors on other days. The average number of visitors per day in a month of 30 days beginning with a Monday is:

Options

A. 135
B. 165
C. 148
D. 129

Answer

To find the average number of visitors per day in a month of 30 days beginning with a Monday, we can follow these steps:

### Step 1: Determine the number of Sundays in the month
Since the month starts on a Monday and has 30 days, we can calculate the number of Sundays. The Sundays will fall on the following days:
- Day 7 (1st Sunday)
- Day 14 (2nd Sunday)
- Day 21 (3rd Sunday)
- Day 28 (4th Sunday)

Thus, there are **4 Sundays** in the month.

### Step 2: Calculate the number of non-Sundays
The total number of days in the month is 30. Since there are 4 Sundays, the number of non-Sundays (other days) is:
\[ 30 - 4 = 26 \]

### Step 3: Determine the average visitors on Sundays and non-Sundays
- Average visitors on Sundays (N1) = 265
- Average visitors on other days (N2) = 130

### Step 4: Calculate the total visitors for Sundays and non-Sundays
Now, we calculate the total number of visitors for Sundays and non-Sundays:
- Total visitors on Sundays:
\[ 265 \times 4 = 1060 \]
- Total visitors on non-Sundays:
\[ 130 \times 26 = 3380 \]

### Step 5: Calculate the total visitors for the month
Now, add the total visitors from Sundays and non-Sundays:
\[ 1060 + 3380 = 4440 \]

### Step 6: Calculate the average number of visitors per day
To find the average number of visitors per day, divide the total number of visitors by the total number of days:
\[ \text{Average visitors per day} = \frac{4440}{30} = 148 \]

Thus, the average number of visitors per day in the month is **148**.

### Final Answer:
**148**

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