1. **State the problem:** We need to find the cost in dollars of a half-gallon jug of Mexican wine, given that a 0.8-liter bottle costs 109 pesos. 2. **Identify conversions and formulas:** - Volume conversion: 1 gallon = 3.78541 liters - Half-gallon volume: $$\frac{1}{2} \times 3.78541 = 1.892705\text{ liters}$$ - Price conversion: We need the exchange rate from pesos to dollars. Assuming an approximate exchange rate of 18 pesos per dollar (this can vary, but we use this for calculation). 3. **Calculate the price per liter in pesos:** $$\text{Price per liter} = \frac{109\text{ pesos}}{0.8\text{ liters}} = 136.25\text{ pesos per liter}$$ 4. **Calculate the cost of 1.892705 liters in pesos:** $$109 \times \frac{1.892705}{0.8} = 109 \times 2.36588125 = 257.88195625\text{ pesos}$$ 5. **Convert pesos to dollars:** $$\frac{257.88195625}{18} = 14.32677535\text{ dollars}$$ 6. **Round to nearest cent:** $$14.33\text{ dollars}$$ **Final answer:** The half-gallon jug of the same wine costs approximately **14.33 dollars**.