In a physical fitness test, Maria scored 0.4 times of what Judy scored and Judy scored 0.5 of what Tiffany scored. If Judy scored 80 points how many more points than Maria did Tiffany score?

Maria scored 80 x 0.4 = <<80*0.4=32>>32 points.

Tiffany scored 80/0.5 = <<80/0.5=160>>160 points.
Thus, Tiffany scored 160 - 32 = <<160-32=128>>128 more points than Maria. Answer: \boxed{128}.