Macy used 11 tokens which are worth 15 pitches each, so 11 tokens x 15 pitches = <<11*15=165>>165 pitches.
Piper used 17 tokens x 15 pitches = <<17*15=255>>255 pitches.
Together, Macy and Piper received 165 + 255 = <<165+255=420>>420 pitches.
Macy hit the ball 50 times + Piper’s 55 hits = <<50+55=105>>105 total hits.
Of the 420 pitches – 105 total hits = <<420-105=315>>315 misses.
#### 315