let

x = the money Tierra had in the beginning

y = the money Nico had in the beginning

z = the money Alex had in the beginning

Tierra, Nico and Alex had $865 altogether

x + y + x = 865

Tierra spent 2/5 of her money and now she has: x - (2/5)x = 3x/5 left

Nico spent $40 and now has y - 40 left

Alex spent twice as much as Tierra and now has z - 2(2/5)x = z - 4x/5 left

the three friends had the same amount of money left

3x/5 = y - 40

y - 40 = z - 4x/5

by solving the system of equations

x + y + x = 865

3x/5 = y - 40

y - 40 = z - 4x/5

we find

x = $317.308

y = $230.385

z = $444.231

Alex had $444.231 in the beginning.