1. The problem states that three girls, Devi, Esther, and Farah, each started with the same number of beads. Let that number be $x$ beads for each girl. 2. Devi used $\frac{2}{5}$ of her beads, so she used $\frac{2}{5}x$ beads. 3. Esther used $\frac{3}{4}$ of her beads, so she used $\frac{3}{4}x$ beads. 4. Farah used $\frac{2}{3}$ of her beads, so she used $\frac{2}{3}x$ beads. 5. They had a total of 1440 beads at first combined. Since each had $x$ beads, total beads are: $$3x = 1440$$ 6. Solve for $x$: $$x = \frac{1440}{3} = 480$$ 7. Now calculate the beads each used: - Devi used: $\frac{2}{5} \times 480 = \frac{2 \times 480}{5} = \frac{960}{5} = 192$ beads. - Esther used: $\frac{3}{4} \times 480 = \frac{3 \times 480}{4} = \frac{1440}{4} = 360$ beads. - Farah used: $\frac{2}{3} \times 480 = \frac{2 \times 480}{3} = \frac{960}{3} = 320$ beads. **Final answer:** - Devi used 192 beads. - Esther used 360 beads. - Farah used 320 beads.