Pam sold $$\frac{1}{3}$$ to relatives, so $$\frac{2}{3}$$ remained. She sold $$\frac{1}{6}$$ of the remainder to friends.
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• Relatives → $$\frac{1}{3}$$ of whole = $$\frac{3}{9}$$
• Remainder → 1 − $$\frac{1}{3}$$ = $$\frac{2}{3}$$ = $$\frac{6}{9}$$
• Friends → $$\frac{1}{6}$$ × $$\frac{2}{3}$$ = $$\frac{2}{18}$$ = $$\frac{1}{9}$$ → 1u
• 9u → 135 tickets ⇒ 1u → 135 ÷ 9 = 15
• Relatives − Friends → 3u − 1u = 2u → 2 × 15 = 30
She sold 30 more tickets to relatives than to friends.
Check: Relatives = 45, Friends = 15, Left = 75. 45 + 15 + 75 = 135. ✓