1. **State the problem:** We have three oranges with masses 60g, 70g, and 85g. We need to show that their total mass is between $\frac{1}{5}$ and $\frac{1}{4}$ of a kilogram.
2. **Convert units:** Recall that 1 kilogram (kg) = 1000 grams (g).
3. **Calculate total mass:**
$$\text{Total mass} = 60 + 70 + 85 = 215\text{ g}$$
4. **Express bounds in grams:**
$$\frac{1}{5} \text{ kg} = \frac{1}{5} \times 1000 = 200\text{ g}$$
$$\frac{1}{4} \text{ kg} = \frac{1}{4} \times 1000 = 250\text{ g}$$
5. **Check inequalities:**
$$200 < 215 < 250$$
6. **Conclusion:** The total mass 215g is indeed between $\frac{1}{5}$ kg and $\frac{1}{4}$ kg.
Mass Inequality 054Ba4
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.