Answer: 36 whole sausages by the end of the contest.
Explanation:
We know that he ate 27 sausages in 11 minutes, then the rate at which he ates sausages is:
R = (27 sausages)/(11 minutes) = 2.45 sausage/min
So if he ate at this rate for 15 minutes, the total number of sausages eaten by the end is:
Total number = (2.45 sausage/min)*15min = 36.8 sausages
(where we are counting again the 27 sausages that he ate in the first 11 mins)
If we only count the number of whole sausages eaten, he ate 36 whole sausages.