Subjects algebra

Mass Inequality 054Ba4

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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.