Sonja planted a flower garden of tulips daisies and lilies she planted 2 times as many tulips as daisies and 3 times as many daisies as lilies Sonja planted 42 tulips how many flowers did she plant in all

If Sonja planted 2 times as many tulips as daisies, then she planted 42/2 = <<42/2=21>>21 daisies.

Since Sonja planted 3 times as many daisies as lilies, then she planted 21/3 = <<21/3=7>>7 lilies.
Sonja planted a total of 42+21+7 = <<42+21+7=70>>70 flowers. Answer: \boxed{70}.