5 Millie is to buy a new car which is avallable with a petrol motor or a diesel motuc The petrol version averages whate the thest version anerages .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?

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?

Ask by Munoz Frank. in Iran

Jan 11,2025

Question

5 Millie is to buy a new car which is avallable with a petrol motor or a diesel motuc The petrol version averages whate the thest version anerages .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?

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?

Ask by Munoz Frank. in Iran

Jan 11,2025

UpStudy AI · Accepted Answer

To calculate the annual cost of fuel for Millie's car with the petrol engine, we need to consider the fuel consumption and the cost of petrol.

Given:
- Petrol version averages 10.5 L/100 km
- Diesel version averages 8.6 L/100 km
- Millie plans to drive 18,000 km per year
- Petrol costs 164.5 CH
- Diesel costs 176.9 CH

First, let's calculate the annual fuel consumption for the petrol engine:
$$ \text{Annual fuel consumption} = \frac{18,000 \, \text{km}}{100} \times 10.5 \, \text{L/km} $$

Next, we can calculate the annual cost of fuel for the petrol engine:
$$ \text{Annual cost of fuel} = \text{Annual fuel consumption} \times \text{Cost of petrol} $$

Now, let's calculate the annual fuel consumption for the diesel engine:
$$ \text{Annual fuel consumption} = \frac{18,000 \, \text{km}}{100} \times 8.6 \, \text{L/km} $$

Finally, we can calculate the annual cost of fuel for the diesel engine:
$$ \text{Annual cost of fuel} = \text{Annual fuel consumption} \times \text{Cost of diesel} $$

Let's calculate the annual cost of fuel for both engines and then find out how much Millie will save by choosing the diesel engine.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{18000}{100}\times 10.5$$
- step1: Divide the terms:
  $$180\times 10.5$$
- step2: Multiply the numbers:
  $$1890$$
Calculate or simplify the expression $$ 1890 \times 164.5 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$1890\times 164.5$$
- step1: Multiply the numbers:
  $$310905$$
Calculate or simplify the expression $$ 18,000 / 100 * 8.6 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{18000}{100}\times 8.6$$
- step1: Divide the terms:
  $$180\times 8.6$$
- step2: Multiply the numbers:
  $$1548$$
Calculate or simplify the expression $$ 1548 * 176.9 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$1548\times 176.9$$
- step1: Multiply the numbers:
  $$273841.2$$
The annual cost of fuel for the petrol engine is 310,905 CH.
The annual cost of fuel for the diesel engine is 273,841.2 CH.

Therefore, if Millie chooses the diesel engine, she will save 310,905 - 273,841.2 = 36,063.8 CH in fuel costs per year.
If Millie buys the car with the petrol engine, her annual fuel cost will be approximately 310,905 CH. By choosing the diesel engine instead, she will save about 36,063.8 CH in fuel costs each year.

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