Each cake is 3 thirds. Each child gets 2 thirds ($$\frac{2}{3}$$). Count how many $$\frac{2}{3}$$ portions are in 10 cakes.
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• 10 cakes → 10 × 3 = 30 thirds
• Each child → 2 thirds
• Children → 30 ÷ 2 = 15 (= 10 ÷ $$\frac{2}{3}$$)
There were 15 children.
Check: 15 × $$\frac{2}{3}$$ = $$\frac{30}{3}$$ = 10 cakes. ✓