Ethan gave 1/3 to his wife, so 2/3 remains. Food takes 2/5 of that remainder, transport takes 1/4 of what is left after food.
[[model:questions/solutions/q4327.png]]
• Wife → 1/3 of whole = 10/30
• Remainder → 1 − 1/3 = 2/3 = 20/30
• Food → 2/5 × 2/3 = 4/15 = 8/30
• After food → 20/30 − 8/30 = 12/30 = 2/5
• Transport → 1/4 × 12/30 = 3/30 = 1/10
• Money left → 12/30 − 3/30 = 9/30 = $$\frac{3}{10}$$
Ethan had 3/10 of his original money left.
Check: Wife 10/30 + Food 8/30 + Transport 3/30 + Left 9/30 = 30/30 = 1. ✓