The Crockett Cricket Club awards its bowling trophy each year to the bowler who has the best average (computed by dividing the runs hit off the bowler by the wickets taken) over the whole season.
In 2009-10, Chester Chucker had an average of 50 runs per wicket for the first half of the season and an average of 25 runs per wicket for the second half of the season. On the other hand, Slim (Slow) Spin had a worse average in each half of the season than Chester. Slim’s two averages were 51 in the first half and 25.1 in the second.
(a) Give an example to show that Slim could end up with the Crockett Cricket Club bowling trophy for 2011-12?
(b) Can Chester ever win the trophy?