In the past month, Ann rented 4 video games and 6 DVDs. The rental price for each video game was $2.50 The rental price for each DVD was $4.40 What is the total amount that Ann spent on video game and DVD rentals in the past month?

Ann spent $2.50 x 4 = $<<2.5*4=10>>10 on video game rentals.

She spent $4.40 x 6 = $<<4.4*6=26.4>>26.4 on DVD rentals.
Therefore, Ann spent $10 + $26.4 = $<<10+26.4=36.4>>36.4 in total. Answer: \boxed{36.4}.