Jake and Dave had $1200 at first. Jake spent $400 while Dave spent $120 less than him. The amount Dave had left was 3/5 of the amount Jake had left. How much did Jake have at first?

if Dave started with $d, then Jake had 1200-d. So,

d-(400-120) = 3/5 (1200-d - 400)
d = 475
So Jake started with 1200-475 = $725