Work backwards from the 60 packets left. After giving 1/3 to neighbour, 2/3 remained = 60.
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• Left 60 = 2/3 after neighbour → 1/3 = 30, total before neighbour = 90
• After neighbour 90 = 3/5 after afternoon → 1/5 = 30, total before afternoon = 150
• After afternoon 150 = 5/8 of total → 1/8 = 30, total at first = 240
Princess cooked 240 packets of noodles at first.
Check: Morning 3/8 × 240 = 90. Remainder = 150. Afternoon 2/5 × 150 = 60. Remainder = 90. Neighbour 1/3 × 90 = 30. Left = 60. ✓