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:**
$$2.97\frac{\text{dollars}}{\text{gal}} \times \frac{1\text{ rupee}}{0.016\text{ dollars}} \times \frac{1\text{ gal}}{3.79\text{ L}} = 48.98\frac{\text{rupees}}{\text{L}}$$
Gas Cost Conversion 85E95C
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