Subjects algebra

Water Flour Ratio 29728E

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1. **State the problem:** We are given that 730 ml of water is used for 950 grams of flour. We need to find how much water is used for 1000 grams of flour. 2. **Formula used:** This is a direct proportion problem. The ratio of water to flour remains constant. So, we use the formula: $$\frac{\text{water}_1}{\text{flour}_1} = \frac{\text{water}_2}{\text{flour}_2}$$ 3. **Set up the equation:** $$\frac{730}{950} = \frac{x}{1000}$$ where $x$ is the amount of water for 1000 grams of flour. 4. **Solve for $x$:** Multiply both sides by 1000: $$x = \frac{730}{950} \times 1000$$ 5. **Simplify the fraction:** $$x = 730 \times \frac{1000}{950}$$ We can write: $$x = 730 \times \frac{\cancel{1000}}{\cancel{950}} \times \frac{1000/50}{950/50} = 730 \times \frac{20}{19}$$ 6. **Calculate the value:** $$x = 730 \times \frac{20}{19} = \frac{730 \times 20}{19} = \frac{14600}{19} \approx 768.42$$ 7. **Final answer:** Approximately 768.42 ml of water is used for 1000 grams of flour.