1. **State the problem:** A notebook costs four times more than a pencil. The pencil costs 30 cedis less than the notebook. Find the price of the pencil. 2. **Define variables:** Let the price of the pencil be $x$ cedis. 3. **Express the notebook price:** Since the notebook costs four times more than the pencil, the notebook price is $4x$. 4. **Use the second condition:** The pencil costs 30 cedis less than the notebook, so: $$x = 4x - 30$$ 5. **Solve the equation:** $$x = 4x - 30$$ $$x - 4x = -30$$ $$-3x = -30$$ $$x = \frac{-30}{-3} = 10$$ 6. **Interpret the result:** The price of the pencil is 10 cedis. 7. **Check:** Notebook price = $4 \times 10 = 40$ cedis. Pencil price is $30$ less than notebook price: $40 - 30 = 10$, which matches our pencil price. **Final answer:** The pencil costs 10 cedis.