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Batting Practice
 
Q Jack and Jill were practicing batting. Jack's first time at bat, he hit 75 out of a hundred pitches thrown by Jill. Then Jill hit 75 out of a hundred pitches thrown by Jack. After a little break, Jack took a second turn at bat. Jill threw him 50 pitches, and he hit 35 of them. Jill was tired, so she didn't take a second turn at bat. Who had the best average for the day ? Jack or Jill?


 
A Jill had the best average.

She hit 75 out of 100 pitches, for an average of 75%. Jack hit 75 out of 100 pitches in his first round. Then he hit 35 out of 50 pitches in his second round. Add his hits in both rounds (75 + 35) for a total of 110 hits. Then add the total number of pitches Jill threw to Jack (100 in round one + 50 in round 2) for a total of 150 pitches. Finally, divide Jack's total number of hits (110) by the total number of pitches (150) to get his average for both rounds.

The result is 73.3%, which is lower than Jill's average of 75%.

Source: Sterling Pocket Puzzlers,Brain Teasers, p.14