Final answer:
The librarian's pay per workday, calculated by dividing the annual salary by the total workdays after subtracting weekends and vacation days, is closest to $130 (a).
Step-by-step explanation:
To find the librarian's pay per workday, we need to calculate the total number of workdays in a year and then divide the annual salary by that number. First, we'll start with a full year, which has 365 days. From this, we subtract the weekends. There are 52 weeks in a year, so that's 104 weekend days (52 Saturdays and 52 Sundays). Then, we subtract the 10 vacation days the librarian has off.
Total Workdays = 365 days - 104 weekend days - 10 vacation days
Total Workdays = 365 - 104 - 10
Total Workdays = 251 days
Now, we divide the annual salary by the total workdays to get the pay per workday:
Pay Per Workday = $32,500 / 251
Pay Per Workday = $129.48
The closest answer to $129.48 is $130, which is option A.