Original Mass C8B260
1. **State the problem:** We know that 40% of a Fermium-256 sample has decayed, and 53 grams remain. We need to find the original mass of the sample.
2. **Understand the problem:** If 40% has decayed, then 60% of the original mass remains because 100% - 40% = 60%.
3. **Set up the equation:** Let the original mass be $m$. The remaining mass is 60% of $m$, so:
$$0.60 \times m = 53$$
4. **Solve for $m$:**
$$m = \frac{53}{0.60}$$
5. **Calculate:**
$$m = 88.3333...$$
6. **Round to the nearest whole number:**
$$m \approx 88$$
**Final answer:** The original mass of the sample was approximately 88 grams.