What is the correct way to calculate the amount of money to receive in 4 months when the total amount to receive in 1 year is 17500? I am still at college. I need to solve this problem.
The total amount to receive in 1 year is 17500 CAD.
And the university pays its students each 2 weeks (26 payments per year). 
How much does a student have to receive for 4 months? 
I have calculated this in 2 ways (both seem ok) but results are different. Which one is the right one and why? 
a) 17500CAD / 12 months = 1458.33CAD each month
   1458.33CAD x 4 months = 5833 (total amount of money in 4 months)

   If money has to be given each 2 weeks: 
   5833 / 8 = 729.125 CAD 

b) 17500 / 26 = 673.08 each 2 weeks 
   673.08 x 8 = 5384.62 (total amount of money in 4 months)

I think the right one is a), because b) is assuming the student has been receiving money for the whole year (26 payments). But it is not the case.
Thank you
 A: There are more than $8$ two week periods in four months.  If you are paid by the month, the first calculation is correct and the total should be $5833$.  On average there are $17$ weeks (and a little) in four months so you would get eight full two week paychecks and one more smaller one.  The checks will be smaller than the $729.125$ you calculate.  Your second calculation assumes a $364$ day year.  If you account for the extra week you will be very close to the first approach.
A: a) assumes 4 weeks per 12 months, which is equivalent to a 48-week year.
b) assumes a 52-week year.
Given that the question explicitly relates payments to  "weeks", the second convention seems preferable. The correct answer (in my opinion) is b). 
A: Okey. This is my solution:
1 year = 365 days or 366 days

two-week period = 14 days

365 / two-week period = 26 payments per year

September to December = 122 days

122 / two-week period = 8.71 payments



(175000 / 26) x 8.71 = 5863 CAD

A: If you consider that a month has $4$ weeks, you have a total of $48$ weeks, not $52$.
