Fathur bought a number of stickers. He sold \( \frac{4}{5} \) of the stickers and lost \( \frac{1}{2} \) of the remainder bowhowin If he had 480 sticters, how Many stickers did he have at first?

Let's break down the problem step by step: 1. **Let the initial number of stickers be \( x \).** 2. **Stickers Sold:** - Fathur sold \( \frac{4}{5} \) of his stickers. - So, the number of stickers sold is \( \frac{4}{5}x \). 3. **Stickers Remaining After Sale:** - After selling, he has \( x - \frac{4}{5}x = \frac{1}{5}x \) stickers remaining. 4. **Stickers Lost:** - He lost \( \frac{1}{2} \) of the remaining stickers. - So, the number of stickers lost is \( \frac{1}{2} \times \frac{1}{5}x = \frac{1}{10}x \). 5. **Final Number of Stickers:** - After losing some stickers, he has \( \frac{1}{5}x - \frac{1}{10}x = \frac{1}{10}x \) stickers left. 6. **Given Final Stickers:** - It's given that he has 480 stickers at the end. - So, \( \frac{1}{10}x = 480 \). 7. **Solving for \( x \):** \[ x = 480 \times 10 = 4800 \] **Therefore, Fathur initially had 4,800 stickers.** Answer: Fathur originally had 4 800 stickers.