Lucca bought 200 pieces of bread. Lucca ate 1/4 of the pieces of bread in one day, and 2/5 of the remaining pieces the next day. If he ate half of the remaining pieces on the third day, calculate how many pieces of bread are remaining.
On the first day, Lucca ate 1/4*200 = <<1/4*200=50>>50 pieces.
The number of pieces remaining after the first day is 200-50 = <<200-50=150>>150
On the second day, Lucca ate 2/5*150 = <<2/5*150=60>>60 pieces of bread.
The pieces of bread that remained after the second day is 150-60 = <<150-60=90>>90
If Lucca ate half of the remaining pieces of bread on the third day, he ate 1/2*90 = 45 pieces.
The pieces of bread that are remaining after the third day are 90-45=<<90-45=45>>45.
#### 45