To determine how much less fuel Kate will use driving Car B instead of Car A over a distance of 8000 km, follow these steps:
1. Determine the fuel consumption rate for each car:
- Car A consumes 9 liters of fuel per 100 kilometers.
- Car B consumes 3.5 liters of fuel per 100 kilometers.
2. Calculate the total fuel consumption for Car A:
- Given the fuel consumption rate of Car A is 9 L/100 km and Kate plans to drive 8000 km.
- First, convert the distance (8000 km) into the same units as the fuel rate (100 km): [tex]\( \frac{8000 \text{ km}}{100} = 80 \text{ units of 100 km} \)[/tex].
- Then, calculate the total fuel consumption: [tex]\( 9 \text{ L/100 km} \times 80 \text{ units of 100 km} = 720 \text{ liters} \)[/tex].
3. Calculate the total fuel consumption for Car B:
- Given the fuel consumption rate of Car B is 3.5 L/100 km and Kate plans to drive 8000 km.
- First, convert the distance (8000 km) into the same units as the fuel rate (100 km): [tex]\( \frac{8000 \text{ km}}{100} = 80 \text{ units of 100 km} \)[/tex].
- Then, calculate the total fuel consumption: [tex]\( 3.5 \text{ L/100 km} \times 80 \text{ units of 100 km} = 280 \text{ liters} \)[/tex].
4. Calculate the difference in fuel consumption between Car A and Car B:
- Total fuel consumption for Car A: 720 liters.
- Total fuel consumption for Car B: 280 liters.
- The difference in fuel consumption: [tex]\( 720 \text{ liters} - 280 \text{ liters} = 440 \text{ liters} \)[/tex].
Thus, Kate will use 440 liters less fuel by choosing Car B over Car A for her 8000 km travel in the next year.
