Subjects algebra

Percentage Weight C2F801

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1. **State the problem:** We need to find the total weight in kilograms if 350 grams is 20% of it. 2. **Formula used:** If $x$ is the total weight in kilograms, then 20% of $x$ equals 350 grams. We write this as: $$0.20 \times x = 350 \text{ grams}$$ 3. **Convert grams to kilograms:** Since 1 kilogram = 1000 grams, convert 350 grams to kilograms: $$350 \text{ grams} = \frac{350}{1000} = 0.35 \text{ kg}$$ 4. **Rewrite the equation:** $$0.20 \times x = 0.35$$ 5. **Solve for $x$:** Divide both sides by 0.20: $$x = \frac{0.35}{0.20}$$ 6. **Show cancellation:** $$x = \frac{\cancel{0.35}}{\cancel{0.20}} = 1.75$$ 7. **Final answer:** The total weight is **1.75 kilograms**.