1. **Stating the problem:** Julie buys a flute for N306 after two discounts: first 10% for students, then an additional 15% during a sale. We need to find the original price of the flute. 2. **Represent the original price as** $x$. 3. **After 10% student discount, price becomes:** $$x - 0.10x = 0.90x$$ 4. **Then, an additional 15% discount is applied on the discounted price:** $$0.90x - 0.15(0.90x) = 0.90x \times (1 - 0.15) = 0.90x \times 0.85 = 0.765x$$ 5. **We know the final price paid is N306, so:** $$0.765x = 306$$ 6. **Solving for** $x$: $$x = \frac{306}{0.765} = 400$$ 7. **Therefore, the original cost of the flute is N400.**