Subjects unit conversion

Gas Cost Conversion 85E95C

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1. **State the problem:** Convert the gasoline cost from dollars per gallon to rupees per liter. 2. **Given:** - Gasoline cost = 2.97 dollars per gallon - Exchange rate = 1 rupee = 0.016 dollars - Volume conversion = 1 gallon = 3.79 liters 3. **Formula and ratios:** We want to convert dollars/gallon to rupees/liter using the ratios: $$\frac{3.79\text{ L}}{1\text{ gal}} \quad \text{and} \quad \frac{1\text{ rupee}}{0.016\text{ dollars}}$$ 4. **Set up the conversion:** $$2.97\frac{\text{dollars}}{\text{gal}} \times \frac{1\text{ rupee}}{0.016\text{ dollars}} \times \frac{1\text{ gal}}{3.79\text{ L}} = \text{? rupees per liter}$$ 5. **Cancel units step-by-step:** - Dollars cancel: dollars in numerator and denominator - Gallons cancel: gal in numerator and denominator 6. **Calculate the value:** $$= 2.97 \times \frac{1}{0.016} \times \frac{1}{3.79}$$ 7. **Simplify intermediate steps:** $$= 2.97 \times 62.5 \times 0.26385$$ 8. **Multiply:** $$= 2.97 \times 16.490625 = 48.98$$ 9. **Final answer:** Gasoline costs approximately **48.98 rupees per liter**. **Answer equation filled:** $$2.97\frac{\text{dollars}}{\text{gal}} \times \frac{1\text{ rupee}}{0.016\text{ dollars}} \times \frac{1\text{ gal}}{3.79\text{ L}} = 48.98\frac{\text{rupees}}{\text{L}}$$