A public library has an average attendance of 410 on Sundays and 230 for the remaining days. The average attendance per day of a month of 30 days beginning with Sunday would be:
- A230
- B254
- C320
- D260
Solution & Step-by-step Explanation
Since the month has 30 days and begins with a Sunday:
The Sundays fall on the 1st, 8th, 15th, 22nd, and 29th days.
So, there are exactly 5 Sundays in this month.
Number of remaining days = 30−5=25 days.
Now, calculate total attendance:
Total attendance on Sundays=5×410=2050
Total attendance on remaining days=25×230=5750
Total attendance for the month=2050+5750=7800
Calculate the average attendance per day:
Average per day=
Total Days
Total Attendance
=
30
7800
=260
The Sundays fall on the 1st, 8th, 15th, 22nd, and 29th days.
So, there are exactly 5 Sundays in this month.
Number of remaining days = 30−5=25 days.
Now, calculate total attendance:
Total attendance on Sundays=5×410=2050
Total attendance on remaining days=25×230=5750
Total attendance for the month=2050+5750=7800
Calculate the average attendance per day:
Average per day=
Total Days
Total Attendance
=
30
7800
=260