A 3-year magazine subscription costs $123 and may be canceled at any time, and a prorated refund will be made for the remaining weekly issues. If Alan cancels his subscription after receiving 22 issues in the 2nd year, what refund would he get?

Assume there are exactly 52 weeks in a year. For full marks your answer(s) should be rounded to the nearest cent.

what is the cost per issue? 123/(52*3)

How many issues remain after 22?

refund=costperissue*remainingissues

To find the refund Alan would get, we need to calculate the number of remaining issues he has left in the subscription.

First, let's determine the total number of issues in a 3-year subscription. Since each year has 52 weeks and Alan cancels in the 2nd year, we can calculate it as follows:

Total number of issues = (number of weeks in a year) x (number of years)
Total number of issues = 52 x 3
Total number of issues = 156

Next, we need to determine the number of issues Alan has already received. Since he cancels after receiving 22 issues in the 2nd year, we can calculate it as follows:

Number of issues received = (number of weeks in a year) x (number of years - 1) + (number of issues received in the current year)
Number of issues received = 52 x (2 - 1) + 22
Number of issues received = 52 + 22
Number of issues received = 74

Now, we can calculate the remaining issues by subtracting the number of issues received from the total number of issues:

Remaining issues = Total number of issues - Number of issues received
Remaining issues = 156 - 74
Remaining issues = 82

Since Alan is eligible to receive a prorated refund for the remaining weekly issues, we can calculate the refund amount by dividing the remaining issues by the total number of issues and multiplying that by the total subscription cost:

Refund amount = (Remaining issues / Total number of issues) x Total subscription cost
Refund amount = (82 / 156) x $123
Refund amount ≈ 0.5256 x $123
Refund amount ≈ $64.58

Therefore, Alan would get a refund of approximately $64.58.