If Roselyn gave Rebecca 40 books, and Mara was given three times as many books, Mara has 3*40 = 120 books.
Rebecca and Mara's total number of books is 120+40 = <<120+40=160>>160 books.
If Roselyn gave Mara and Rebecca her books, which is 160, then she initially had 60+160 = <<60+160=220>>220 books.
#### 220