Mr. P uses an insulin pen to help manage his diabetes. Each pen is filled with 3 ml of insulin or 300 units.
Each time that he uses the pen he must first "prime" it by draining off 2 units.
Then he injects 12 units of insulin into his system on one day and 13 units the next, always alternating 12 units and then 13 units.
When there are less than 14 units (on the 12 unit days) or less than 15 units (on the 13 unit days), Mr. P must prime the current pen and then
prime the new pen just to get a total of one dose of insulin.
How many insulin pens must Mr. P go through before the insulin comes out evenly? (in other words, there is no insulin left in the pen when
he finishes that day's dose of insulin).
Send your solution by the end of the month to:
David Pleacher