Apples = 6u, Oranges = 5u (unchanged). After selling 30 apples, the ratio becomes (6u−30):5u = 7:10. Cross-multiply to find u.
[[model:questions/solutions/q4527.png]]
• Before: Apples = 6u, Oranges = 5u
• After: Apples left = 6u − 30, Oranges = 5u
• Ratio (6u − 30) : 5u = 7 : 10
• Cross-multiply → 10(6u − 30) = 7 × 5u
• 60u − 300 = 35u → 25u = 300 → u = 12
• Total at first → 6 × 12 + 5 × 12 = 72 + 60 = 132
Nelly had 132 apples and oranges at first.
Check: 72:60 = 6:5. After selling 30 apples: (72−30):60 = 42:60 = 7:10. ✓