First find the total number of flutes who were accepted: 20 flutes * .8 = <<20*.8=16>>16 flutes
Then find the total number of clarinets who were accepted: 30 clarinets * .5 = <<30*.5=15>>15 clarinets
Then find the total number of trumpets who were accepted: 60 trumpets * 1/3 = <<60*1/3=20>>20 trumpets
Then find the total number of pianists who were accepted: 20 pianists * 1/10 = <<20*1/10=2>>2 pianists
Then add the number of each kind of instrument to find the total number of people in the band: 16 flutes + 15 clarinets + 20 trumpets + 2 pianists = <<16+15+20+2=53>>53 people
#### 53