5 Millie is to buy a new car which is avallable with a petrol motor or a diesel motuc The petrol version averages \( 10.5 \mathrm{~L} / 100 \mathrm{~km} \) whate the thest version anerages \( 8.6 \mathrm{~L} / 100 \mathrm{kn} \).W ive plans drive 18000 km per year. Petrol costs 164.5 ch and diesel costs 176.9 ch . If Millie buys the car with the petrol engine what would be the annual cost of fuel? \( \qquad \) In one year, how much will Millie save in fuel costs if she decides to purchase the car with the diesel engine instead of the petrol engine? \( \qquad \)
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To calculate the annual cost of fuel for the petrol car, we first find out how much fuel Millie will use. For 18,000 km and a consumption of 10.5 L/100 km, the total fuel usage will be: \[ \text{Fuel usage} = \frac{10.5 \, \text{L}}{100 \, \text{km}} \times 18000 \, \text{km} = 1890 \, \text{L} \] Next, we multiply the fuel usage by the cost of petrol: \[ \text{Annual cost of petrol} = 1890 \, \text{L} \times 164.5 \, \text{ch/L} = 310,905 \, \text{ch} \] Now for the diesel car, we do the same. With a fuel consumption of 8.6 L/100 km: \[ \text{Fuel usage} = \frac{8.6 \, \text{L}}{100 \, \text{km}} \times 18000 \, \text{km} = 1548 \, \text{L} \] Then calculate the annual cost of diesel: \[ \text{Annual cost of diesel} = 1548 \, \text{L} \times 176.9 \, \text{ch/L} = 274,067.2 \, \text{ch} \] Now, to find out how much Millie saves by choosing diesel over petrol, we subtract the diesel cost from the petrol cost: \[ \text{Savings} = 310,905 \, \text{ch} - 274,067.2 \, \text{ch} = 36,837.8 \, \text{ch} \] So, Millie would spend approximately 310,905 ch for the petrol engine and save about 36,837.8 ch annually by switching to the diesel engine. That's a smart move for both the wallet and the environment!
